1
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Davies AM, Holt AG. Modeling mitochondria, where are the numbers? Neural Regen Res 2024; 19:1435-1436. [PMID: 38051884 PMCID: PMC10883508 DOI: 10.4103/1673-5374.386402] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/07/2023] [Accepted: 09/13/2023] [Indexed: 12/07/2023] Open
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2
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Holt AG, Davies AM. The long term effects of uncoupling interventions as a therapy for dementia in humans. J Theor Biol 2024; 587:111825. [PMID: 38621584 DOI: 10.1016/j.jtbi.2024.111825] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/05/2024] [Revised: 03/25/2024] [Accepted: 04/09/2024] [Indexed: 04/17/2024]
Abstract
In this paper we use simulation methods to study a hypothetical uncoupling agent as a therapy for dementia. We simulate the proliferation of mitochondrial deletion mutants amongst a population of wild-type in human neurons. Mitochondria play a key role in ATP generation. Clonal expansion can lead to the wild-type being overwhelmed by deletions such that a diminished population can no longer fulfil a cell's energy requirement, eventually leading to its demise. The intention of uncoupling is to reduce the formation of deletion mutants by reducing mutation rate. However, a consequence of uncoupling is that the energy production efficacy is also reduced which in turn increases wild-type copy number in order to compensate for the energy deficit. The results of this paper showed that uncoupling reduced the severity of dementia, however, there was some increase in cognitive dysfunction pre-onset of dementia. The effectiveness of uncoupling was dependent upon the timing of intervention relative to the onset of dementia and would necessitate predicting its onset many years in advance.
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3
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Holt AG, Davies AM. The prevalence of dementia in humans could be the result of a functional adaptation. Comput Biol Chem 2023; 106:107939. [PMID: 37598466 DOI: 10.1016/j.compbiolchem.2023.107939] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/27/2023] [Revised: 07/31/2023] [Accepted: 08/07/2023] [Indexed: 08/22/2023]
Abstract
In this paper we propose that high copy number of the mitochondrial genome in neurons is a functional adaptation. We simulated the proliferation of deletion mutants of the human mitochondrial genome in a virtual mitochondrion and recorded the cell loss rates due to deletions overwhelming the wild-type. Our results showed that cell loss increased with mtDNA copy number. Given that neuron loss equates to cognitive dysfunction, it would seem counterintuitive that there would be a selective pressure for high copy number over low. However, for a low copy number, the onset of cognitive decline, while mild, started early in life. Whereas, for high copy number, it did not start until middle age but progressed rapidly. There could have been an advantage to high copy number in the brain if it delayed the onset of cognitive decline until after reproductive age. The prevalence of dementia in our aged population is a consequence of this functional adaptation.
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4
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Dorn GW. Reversing Dysdynamism to Interrupt Mitochondrial Degeneration in Amyotrophic Lateral Sclerosis. Cells 2023; 12:1188. [PMID: 37190097 PMCID: PMC10136928 DOI: 10.3390/cells12081188] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/01/2023] [Revised: 04/13/2023] [Accepted: 04/14/2023] [Indexed: 05/17/2023] Open
Abstract
Amyotrophic lateral sclerosis is one of several chronic neurodegenerative conditions in which mitochondrial abnormalities are posited to contribute to disease progression. Therapeutic options targeting mitochondria include enhancing metabolism, suppressing reactive oxygen production and disrupting mitochondria-mediated programmed cell death pathways. Herein is reviewed mechanistic evidence supporting a meaningful pathophysiological role for the constellation of abnormal mitochondrial fusion, fission and transport, collectively designated mitochondrial dysdynamism, in ALS. Following this is a discussion on preclinical studies in ALS mice that seemingly validate the idea that normalizing mitochondrial dynamism can delay ALS by interrupting a vicious cycle of mitochondrial degeneration, leading to neuronal die-back and death. Finally, the relative benefits of suppressing mitochondrial fusion vs. enhancing mitochondrial fusion in ALS are speculated upon, and the paper concludes with the prediction that the two approaches could be additive or synergistic, although a side-by-side comparative trial may be challenging to perform.
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Affiliation(s)
- Gerald W Dorn
- Department of Internal Medicine (Pharmacogenomics), Washington University School of Medicine, St. Louis, MO 63110, USA
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5
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Kowald A, Kemeth FP, Kirkwood TBL. An explanation of how mutant and wild-type mitochondria might stably co-exist in inherited mitochondrial diseases. PNAS NEXUS 2022; 1:pgac192. [PMID: 36714863 PMCID: PMC9802247 DOI: 10.1093/pnasnexus/pgac192] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 05/17/2022] [Accepted: 09/13/2022] [Indexed: 02/01/2023]
Abstract
Mitochondria are cellular organelles of crucial relevance for the survival of metazoan organisms. Damage to the mitochondrial DNA can give rise to a variety of mitochondrial diseases and is thought also to be involved in the aging process. The fate of mtDNA mutants is controlled by their synthesis as well as degradation and mathematical models can help to better understand this complex interplay. We present here a model that combines a replicative advantage for mtDNA mutants with selective degradation enabled by mitochondrial fission and fusion processes. The model not only shows that the cell has efficient means to deal with (many) types of mutants but, surprisingly, also predicts that under certain conditions a stable co-existence of mutant and wild-type mtDNAs is possible. We discuss how this new finding might explain how mitochondria can be at the heart of processes with such different phenotypes as mitochondrial diseases and aging.
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Affiliation(s)
| | - Felix P Kemeth
- Physik-Department, Nonequilibrium Chemical Physics, Technische Universität München, James-Franck-Str. 1, D-85748 Garching, Germany
| | - Tom B L Kirkwood
- UK National Innovation Centre for Ageing, The Catalyst, 3 Science Square, Newcastle University, Newcastle upon Tyne NE4 5TG, UK,Center for Healthy Aging, Department of Cellular and Molecular Medicine, University of Copenhagen, 2200 Copenhagen N, Denmark
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6
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Holt AG, Davies AM. A comparison of mtDNA deletion mutant proliferation mechanisms. J Theor Biol 2022; 551-552:111244. [PMID: 35973607 DOI: 10.1016/j.jtbi.2022.111244] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/26/2022] [Revised: 07/17/2022] [Accepted: 08/08/2022] [Indexed: 11/18/2022]
Abstract
In this paper we use simulation methods to investigate the proliferation of deletion mutations of mitochondrial DNA in neurons. We simulate three mtDNA proliferation mechanisms, namely, random drift, replicative advantage and vicious cycle. For each mechanism, we investigated the effect mutation rates have on neuron loss within a human host. We also compare heteroplasmy of each mechanism at mutation rates that yield the levels neuron loss that would be associated with dementia. Both random drift and vicious cycle predicted high levels of heteroplasmy, while replicative advantage showed a small number of dominant clones with a low background of heteroplasmy.
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7
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Holt AG, Davies AM. The Effect of Mitochondrial DNA Half-Life on Deletion Mutation Proliferation in Long Lived Cells. Acta Biotheor 2021; 69:671-695. [PMID: 34131800 DOI: 10.1007/s10441-021-09417-z] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/19/2020] [Accepted: 06/07/2021] [Indexed: 01/21/2023]
Abstract
The proliferation of mitochondrial DNA (mtDNA) with deletion mutations has been linked to aging and age related neurodegenerative conditions. In this study we model the effect of mtDNA half-life on mtDNA competition and selection. It has been proposed that mutation deletions ([Formula: see text]) have a replicative advantage over wild-type ([Formula: see text]) and that this is detrimental to the host cell, especially in post-mitotic cells. An individual cell can be viewed as forming a closed ecosystem containing a large population of independently replicating mtDNA. Within this enclosed environment a selfishly replicating [Formula: see text] would compete with the [Formula: see text] for space and resources to the detriment of the host cell. In this paper, we use a computer simulation to model cell survival in an environment where [Formula: see text] compete with [Formula: see text] such that the cell expires upon [Formula: see text] extinction. We focus on the survival time for long lived post-mitotic cells, such as neurons. We confirm previous observations that [Formula: see text] do have a replicative advantage over [Formula: see text]. As expected, cell survival times diminished with increased mutation probabilities, however, the relationship between survival time and mutation rate was non-linear, that is, a ten-fold increase in mutation probability only halved the survival time. The results of our model also showed that a modest increase in half-life had a profound affect on extending cell survival time, thereby, mitigating the replicative advantage of [Formula: see text]. Given the relevance of mitochondrial dysfunction to various neurodegenerative conditions, we propose that therapies to increase mtDNA half-life could significantly delay their onset.
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8
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Acin-Perez R, Benincá C, Shabane B, Shirihai OS, Stiles L. Utilization of Human Samples for Assessment of Mitochondrial Bioenergetics: Gold Standards, Limitations, and Future Perspectives. Life (Basel) 2021; 11:949. [PMID: 34575097 PMCID: PMC8467772 DOI: 10.3390/life11090949] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/28/2021] [Revised: 08/12/2021] [Accepted: 08/23/2021] [Indexed: 12/15/2022] Open
Abstract
Mitochondrial bioenergetic function is a central component of cellular metabolism in health and disease. Mitochondrial oxidative phosphorylation is critical for maintaining energetic homeostasis, and impairment of mitochondrial function underlies the development and progression of metabolic diseases and aging. However, measurement of mitochondrial bioenergetic function can be challenging in human samples due to limitations in the size of the collected sample. Furthermore, the collection of samples from human cohorts is often spread over multiple days and locations, which makes immediate sample processing and bioenergetics analysis challenging. Therefore, sample selection and choice of tests should be carefully considered. Basic research, clinical trials, and mitochondrial disease diagnosis rely primarily on skeletal muscle samples. However, obtaining skeletal muscle biopsies requires an appropriate clinical setting and specialized personnel, making skeletal muscle a less suitable tissue for certain research studies. Circulating white blood cells and platelets offer a promising primary tissue alternative to biopsies for the study of mitochondrial bioenergetics. Recent advances in frozen respirometry protocols combined with the utilization of minimally invasive and non-invasive samples may provide promise for future mitochondrial research studies in humans. Here we review the human samples commonly used for the measurement of mitochondrial bioenergetics with a focus on the advantages and limitations of each sample.
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Affiliation(s)
- Rebeca Acin-Perez
- Department of Medicine, Endocrinology, David Geffen School of Medicine, University of California, Los Angeles, CA 90095, USA; (C.B.); (B.S.); (O.S.S.)
- Metabolism Theme, David Geffen School of Medicine, University of California, Los Angeles, CA 90095, USA
| | - Cristiane Benincá
- Department of Medicine, Endocrinology, David Geffen School of Medicine, University of California, Los Angeles, CA 90095, USA; (C.B.); (B.S.); (O.S.S.)
- Metabolism Theme, David Geffen School of Medicine, University of California, Los Angeles, CA 90095, USA
| | - Byourak Shabane
- Department of Medicine, Endocrinology, David Geffen School of Medicine, University of California, Los Angeles, CA 90095, USA; (C.B.); (B.S.); (O.S.S.)
- Metabolism Theme, David Geffen School of Medicine, University of California, Los Angeles, CA 90095, USA
| | - Orian S. Shirihai
- Department of Medicine, Endocrinology, David Geffen School of Medicine, University of California, Los Angeles, CA 90095, USA; (C.B.); (B.S.); (O.S.S.)
- Metabolism Theme, David Geffen School of Medicine, University of California, Los Angeles, CA 90095, USA
- Department of Molecular and Medical Pharmacology, University of California, Los Angeles, CA 90095, USA
- Molecular Biology Institute, University of California, Los Angeles, CA 90095, USA
| | - Linsey Stiles
- Department of Medicine, Endocrinology, David Geffen School of Medicine, University of California, Los Angeles, CA 90095, USA; (C.B.); (B.S.); (O.S.S.)
- Metabolism Theme, David Geffen School of Medicine, University of California, Los Angeles, CA 90095, USA
- Department of Molecular and Medical Pharmacology, University of California, Los Angeles, CA 90095, USA
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Pereira CV, Gitschlag BL, Patel MR. Cellular mechanisms of mtDNA heteroplasmy dynamics. Crit Rev Biochem Mol Biol 2021; 56:510-525. [PMID: 34120542 DOI: 10.1080/10409238.2021.1934812] [Citation(s) in RCA: 20] [Impact Index Per Article: 6.7] [Reference Citation Analysis] [Abstract] [Key Words] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/03/2023]
Abstract
Heteroplasmy refers to the coexistence of more than one variant of the mitochondrial genome (mtDNA). Mutated or partially deleted mtDNAs can induce chronic metabolic impairment and cause mitochondrial diseases when their heteroplasmy levels exceed a critical threshold. These mutant mtDNAs can be maternally inherited or can arise de novo. Compelling evidence has emerged showing that mutant mtDNA levels can vary and change in a nonrandom fashion across generations and amongst tissues of an individual. However, our lack of understanding of the basic cellular and molecular mechanisms of mtDNA heteroplasmy dynamics has made it difficult to predict who will inherit or develop mtDNA-associated diseases. More recently, with the advances in technology and the establishment of tractable model systems, insights into the mechanisms underlying the selection forces that modulate heteroplasmy dynamics are beginning to emerge. In this review, we summarize evidence from different organisms, showing that mutant mtDNA can experience both positive and negative selection. We also review the recently identified mechanisms that modulate heteroplasmy dynamics. Taken together, this is an opportune time to survey the literature and to identify key cellular pathways that can be targeted to develop therapies for diseases caused by heteroplasmic mtDNA mutations.
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Affiliation(s)
- Claudia V Pereira
- Department of Biological Sciences, Vanderbilt University, Nashville, TN, USA
| | - Bryan L Gitschlag
- Department of Biological Sciences, Vanderbilt University, Nashville, TN, USA
| | - Maulik R Patel
- Department of Biological Sciences, Vanderbilt University, Nashville, TN, USA.,Department of Cell and Developmental Biology, Vanderbilt University School of Medicine, Nashville, TN, USA.,Diabetes Research and Training Center, Vanderbilt University School of Medicine, Nashville, TN, USA
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10
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Zhuo M, Gorgun MF, Englander EW. Neurotoxicity of cytarabine (Ara-C) in dorsal root ganglion neurons originates from impediment of mtDNA synthesis and compromise of mitochondrial function. Free Radic Biol Med 2018; 121:9-19. [PMID: 29698743 PMCID: PMC5971160 DOI: 10.1016/j.freeradbiomed.2018.04.570] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 01/23/2018] [Revised: 04/12/2018] [Accepted: 04/21/2018] [Indexed: 12/18/2022]
Abstract
Peripheral Nervous System (PNS) neurotoxicity caused by cancer drugs hinders attainment of chemotherapy goals. Due to leakiness of the blood nerve barrier, circulating chemotherapeutic drugs reach PNS neurons and adversely affect their function. Chemotherapeutic drugs are designed to target dividing cancer cells and mechanisms underlying their toxicity in postmitotic neurons remain to be fully clarified. The objective of this work was to elucidate progression of events triggered by antimitotic drugs in postmitotic neurons. For proof of mechanism study, we chose cytarabine (ara-C), an antimetabolite used in treatment of hematological cancers. Ara-C is a cytosine analog that terminates DNA synthesis. To investigate how ara-C affects postmitotic neurons, which replicate mitochondrial but not genomic DNA, we adapted a model of Dorsal Root Ganglion (DRG) neurons. We showed that DNA polymerase γ, which is responsible for mtDNA synthesis, is inhibited by ara-C and that sublethal ara-C exposure of DRG neurons leads to reduction in mtDNA content, ROS generation, oxidative mtDNA damage formation, compromised mitochondrial respiration and diminution of NADPH and GSH stores, as well as, activation of the DNA damage response. Hence, it is plausible that in ara-C exposed DRG neurons, ROS amplified by the high mitochondrial content shifts from physiologic to pathologic levels signaling stress to the nucleus. Combined, the findings suggest that ara-C neurotoxicity in DRG neurons originates in mitochondria and that continuous mtDNA synthesis and reliance on oxidative phosphorylation for energy needs sensitize the highly metabolic neurons to injury by mtDNA synthesis terminating cancer drugs.
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Affiliation(s)
- Ming Zhuo
- Division of Neurosurgery, Department of Surgery, University of Texas Medical Branch, Galveston, TX, USA
| | - Murat F Gorgun
- Division of Neurosurgery, Department of Surgery, University of Texas Medical Branch, Galveston, TX, USA
| | - Ella W Englander
- Division of Neurosurgery, Department of Surgery, University of Texas Medical Branch, Galveston, TX, USA.
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11
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Resolving the Enigma of the Clonal Expansion of mtDNA Deletions. Genes (Basel) 2018; 9:genes9030126. [PMID: 29495484 PMCID: PMC5867847 DOI: 10.3390/genes9030126] [Citation(s) in RCA: 22] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/25/2018] [Revised: 02/14/2018] [Accepted: 02/16/2018] [Indexed: 12/31/2022] Open
Abstract
Mitochondria are cell organelles that are special since they contain their own genetic material in the form of mitochondrial DNA (mtDNA). Damage and mutations of mtDNA are not only involved in several inherited human diseases but are also widely thought to play an important role during aging. In both cases, point mutations or large deletions accumulate inside cells, leading to functional impairment once a certain threshold has been surpassed. In most cases, it is a single type of mutant that clonally expands and out-competes the wild type mtDNA, with different mutant molecules being amplified in different cells. The challenge is to explain where the selection advantage for the accumulation comes from, why such a large range of different deletions seem to possess this advantage, and how this process can scale to species with different lifespans such as those of rats and man. From this perspective, we provide an overview of current ideas, present an update of our own proposal, and discuss the wider relevance of the phenomenon for aging.
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12
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Li L, Newton PT, Bouderlique T, Sejnohova M, Zikmund T, Kozhemyakina E, Xie M, Krivanek J, Kaiser J, Qian H, Dyachuk V, Lassar AB, Warman ML, Barenius B, Adameyko I, Chagin AS. Superficial cells are self-renewing chondrocyte progenitors, which form the articular cartilage in juvenile mice. FASEB J 2016; 31:1067-1084. [PMID: 27965322 DOI: 10.1096/fj.201600918r] [Citation(s) in RCA: 73] [Impact Index Per Article: 9.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/20/2016] [Accepted: 11/22/2016] [Indexed: 01/20/2023]
Abstract
Articular cartilage has little regenerative capacity. Recently, genetic lineage tracing experiments have revealed chondrocyte progenitors at the articular surface. We further characterized these progenitors by using in vivo genetic approaches. Histone H2B-green fluorescent protein retention revealed that superficial cells divide more slowly than underlying articular chondrocytes. Clonal genetic tracing combined with immunohistochemistry revealed that superficial cells renew their number by symmetric division, express mesenchymal stem cell markers, and generate chondrocytes via both asymmetric and symmetric differentiation. Quantitative analysis of cellular kinetics, in combination with phosphotungstic acid-enhanced micro-computed tomography, showed that superficial cells generate chondrocytes and contribute to the growth and reshaping of articular cartilage. Furthermore, we found that cartilage renewal occurs as the progeny of superficial cells fully replace fetal chondrocytes during early postnatal life. Thus, superficial cells are self-renewing progenitors that are capable of maintaining their own population and fulfilling criteria of unipotent adult stem cells. Furthermore, the progeny of these cells reconstitute adult articular cartilage de novo, entirely substituting fetal chondrocytes.-Li, L., Newton, P. T., Bouderlique, T., Sejnohova, M., Zikmund, T., Kozhemyakina, E., Xie, M., Krivanek, J., Kaiser, J., Qian, H., Dyachuk, V., Lassar, A. B., Warman, M. L., Barenius, B., Adameyko, I., Chagin, A. S. Superficial cells are self-renewing chondrocyte progenitors, which form the articular cartilage in juvenile mice.
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Affiliation(s)
- Lei Li
- Department of Physiology and Pharmacology, Karolinska Institutet, Stockholm, Sweden
| | - Phillip T Newton
- Department of Physiology and Pharmacology, Karolinska Institutet, Stockholm, Sweden
| | - Thibault Bouderlique
- Department of Physiology and Pharmacology, Karolinska Institutet, Stockholm, Sweden
| | - Marie Sejnohova
- Central European Institute of Technology, Brno University of Technology, Brno, Czech Republic
| | - Tomas Zikmund
- Central European Institute of Technology, Brno University of Technology, Brno, Czech Republic
| | - Elena Kozhemyakina
- Department of Biological Chemistry and Molecular Pharmacology, Harvard Medical School, Boston, Massachusetts, USA
| | - Meng Xie
- Department of Physiology and Pharmacology, Karolinska Institutet, Stockholm, Sweden
| | - Jan Krivanek
- Department of Molecular Neurosciences, Center for Brain Research, Medical University of Vienna, Vienna, Austria
| | - Jozef Kaiser
- Central European Institute of Technology, Brno University of Technology, Brno, Czech Republic
| | - Hong Qian
- Department of Medicine, Center for Hematology and Regenerative Medicine, Karolinska Institutet, Stockholm, Sweden
| | | | - Andrew B Lassar
- Department of Biological Chemistry and Molecular Pharmacology, Harvard Medical School, Boston, Massachusetts, USA
| | - Matthew L Warman
- Orthopedic Research Labs, Boston Children's Hospital, Boston, Massachusetts, USA; and
| | - Björn Barenius
- Orthopaedic Section, Department of Clinical Science and Education, Södersjukhuset, Karolinska Institutet, Stockholm, Sweden
| | - Igor Adameyko
- Department of Physiology and Pharmacology, Karolinska Institutet, Stockholm, Sweden.,Department of Molecular Neurosciences, Center for Brain Research, Medical University of Vienna, Vienna, Austria
| | - Andrei S Chagin
- Department of Physiology and Pharmacology, Karolinska Institutet, Stockholm, Sweden;
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Context-Dependent Role of Mitochondrial Fusion-Fission in Clonal Expansion of mtDNA Mutations. PLoS Comput Biol 2015; 11:e1004183. [PMID: 25996936 PMCID: PMC4440705 DOI: 10.1371/journal.pcbi.1004183] [Citation(s) in RCA: 41] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/01/2014] [Accepted: 02/09/2015] [Indexed: 12/14/2022] Open
Abstract
The accumulation of mutant mitochondrial DNA (mtDNA) molecules in aged cells has been associated with mitochondrial dysfunction, age-related diseases and the ageing process itself. This accumulation has been shown to often occur clonally, where mutant mtDNA grow in number and overpopulate the wild-type mtDNA. However, the cell possesses quality control (QC) mechanisms that maintain mitochondrial function, in which dysfunctional mitochondria are isolated and removed by selective fusion and mitochondrial autophagy (mitophagy), respectively. The aim of this study is to elucidate the circumstances related to mitochondrial QC that allow the expansion of mutant mtDNA molecules. For the purpose of the study, we have developed a mathematical model of mitochondrial QC process by extending our previous validated model of mitochondrial turnover and fusion-fission. A global sensitivity analysis of the model suggested that the selectivity of mitophagy and fusion is the most critical QC parameter for clearing de novo mutant mtDNA molecules. We further simulated several scenarios involving perturbations of key QC parameters to gain a better understanding of their dynamic and synergistic interactions. Our model simulations showed that a higher frequency of mitochondrial fusion-fission can provide a faster clearance of mutant mtDNA, but only when mutant–rich mitochondria that are transiently created are efficiently prevented from re-fusing with other mitochondria and selectively removed. Otherwise, faster fusion-fission quickens the accumulation of mutant mtDNA. Finally, we used the insights gained from model simulations and analysis to propose a possible circumstance involving deterioration of mitochondrial QC that permits mutant mtDNA to expand with age. Mitochondria are responsible for most energy generation in human and animal cells. Loss or pathological alteration of mitochondrial function is a hallmark of many age-related diseases. Mitochondrial dysfunction may be a central and conserved feature of the ageing process. As part of quality control (QC), mitochondria are continually replicated and degraded. Furthermore, two mitochondria can fuse to form a single mitochondrion, and a mitochondrion can divide (fission) into two separate organelles. Despite this QC, mutant mitochondrial DNA (mtDNA) molecules have been observed to accumulate in cells with age which may lead to mitochondrial dysfunction. In this study, we created a detailed mathematical model of mitochondrial QC and performed model simulations to investigate circumstances allowing or preventing the accumulation of mutant mtDNA. We found that more frequent fusion-fission could quicken mutant mtDNA clearance, but only when mitochondria harboring a high fraction of mutant molecules were strongly prevented from fusing with other mitochondria and selectively degraded. Otherwise, faster fusion-fission would actually enhance the accumulation of mutant mtDNA. Our results suggested that the expansion of mutant mtDNA likely involves a decline in the selectivity of mitochondrial degradation and fusion. This insight might open new avenues for experiment and possible development of future therapies.
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Burgstaller JP, Johnston IG, Poulton J. Mitochondrial DNA disease and developmental implications for reproductive strategies. Mol Hum Reprod 2014; 21:11-22. [PMID: 25425607 PMCID: PMC4275042 DOI: 10.1093/molehr/gau090] [Citation(s) in RCA: 47] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022] Open
Abstract
Mitochondrial diseases are potentially severe, incurable diseases resulting from dysfunctional mitochondria. Several important mitochondrial diseases are caused by mutations in mitochondrial DNA (mtDNA), the genetic material contained within mitochondria, which is maternally inherited. Classical and modern therapeutic approaches exist to address the inheritance of mtDNA disease, but are potentially complicated by the fact that cellular mtDNA populations evolve according to poorly-understood dynamics during development and organismal lifetimes. We review these therapeutic approaches and models of mtDNA dynamics during development, and discuss the implications of recent results from these models for modern mtDNA therapies. We particularly highlight mtDNA segregation—differences in proliferative rates between different mtDNA haplotypes—as a potential and underexplored issue in such therapies. However, straightforward strategies exist to combat this and other potential therapeutic problems. In particular, we describe haplotype matching as an approach with the power to potentially ameliorate any expected issues from mtDNA incompatibility.
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Affiliation(s)
- Joerg Patrick Burgstaller
- Biotechnology in Animal Production, Department for Agrobiotechnology, IFA Tulln, 3430 Tulln, Austria Institute of Animal Breeding and Genetics, University of Veterinary Medicine Vienna, Veterinärplatz 1, 1210 Vienna, Austria
| | - Iain G Johnston
- Department of Mathematics, Imperial College London, London SW7 2AZ, UK
| | - Joanna Poulton
- Nuffield Department of Obstetrics and Gynaecology, University of Oxford, Oxford OX3 9DU, UK
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15
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No evidence of persisting unrepaired nuclear DNA single strand breaks in distinct types of cells in the brain, kidney, and liver of adult mice after continuous eight-week 50 Hz magnetic field exposure with flux density of 0.1 mT or 1.0 mT. PLoS One 2014; 9:e109774. [PMID: 25302592 PMCID: PMC4193825 DOI: 10.1371/journal.pone.0109774] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/29/2014] [Accepted: 09/11/2014] [Indexed: 11/19/2022] Open
Abstract
BACKGROUND It has been hypothesized in the literature that exposure to extremely low frequency electromagnetic fields (50 or 60 Hz) may lead to human health effects such as childhood leukemia or brain tumors. In a previous study investigating multiple types of cells from brain and kidney of the mouse (Acta Neuropathologica 2004; 107: 257-264), we found increased unrepaired nuclear DNA single strand breaks (nDNA SSB) only in epithelial cells of the choroid plexus in the brain using autoradiographic methods after a continuous eight-week 50 Hz magnetic field (MF) exposure of adult mice with flux density of 1.5 mT. METHODS In the present study we tested the hypothesis that MF exposure with lower flux densities (0.1 mT, i.e., the actual exposure limit for the population in most European countries, and 1.0 mT) shows similar results to those in the previous study. Experiments and data analysis were carried out in a similar way as in our previous study. RESULTS Continuous eight-week 50 Hz MF exposure with 0.1 mT or 1.0 mT did not result in increased persisting unrepaired nDNA SSB in distinct types of cells in the brain, kidney, and liver of adult mice. MF exposure with 1.0 mT led to reduced unscheduled DNA synthesis (UDS) in epithelial cells in the choroid plexus of the fourth ventricle in the brain (EC-CP) and epithelial cells of the cortical collecting duct in the kidney, as well as to reduced mtDNA synthesis in neurons of the caudate nucleus in the brain and in EC-CP. CONCLUSION No evidence was found for increased persisting unrepaired nDNA SSB in distinct types of cells in the brain, kidney, and liver of adult mice after continuous eight-week 50 Hz magnetic field exposure with flux density of 0.1 mT or 1.0 mT.
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Campbell G, Krishnan KJ, Deschauer M, Taylor RW, Turnbull DM. Dissecting the mechanisms underlying the accumulation of mitochondrial DNA deletions in human skeletal muscle. Hum Mol Genet 2014; 23:4612-20. [PMID: 24740879 PMCID: PMC4119413 DOI: 10.1093/hmg/ddu176] [Citation(s) in RCA: 27] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/24/2014] [Revised: 04/09/2014] [Accepted: 04/09/2014] [Indexed: 01/07/2023] Open
Abstract
Large-scale mitochondrial DNA (mtDNA) deletions are an important cause of mitochondrial disease, while somatic mtDNA deletions cause focal respiratory chain deficiency associated with ageing and neurodegenerative disorders. As mtDNA deletions only cause cellular pathology at high levels of mtDNA heteroplasmy, an mtDNA deletion must accumulate to levels which can result in biochemical dysfunction-a process known as clonal expansion. A number of hypotheses have been proposed for clonal expansion of mtDNA deletions, including a replicative advantage for deleted mitochondrial genomes inferred by their smaller size--implying that the largest mtDNA deletions would also display a replicative advantage over smaller mtDNA deletions. We proposed that in muscle fibres from patients with mtDNA maintenance disorders, which lead to the accumulation of multiple mtDNA deletions, we would observe the largest mtDNA deletions spreading the furthest longitudinally through individual muscle fibres by means of a greater rate of clonal expansion. We characterized mtDNA deletions in patients with mtDNA maintenance disorders from a range of 'large' and 'small' cytochrome c oxidase (COX)-deficient regions in skeletal muscle fibres. We measured the size of clonally expanded deletions in 62 small and 60 large individual COX-deficient f regions. No significant difference was observed in individual patients or in the total dataset (small fibre regions mean 6.59 kb--large fibre regions mean 6.51 kb). Thus no difference existed in the rate of clonal expansion throughout muscle fibres between mtDNA deletions of different sizes; smaller mitochondrial genomes therefore do not appear to have an inherent replicative advantage in human muscle.
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Affiliation(s)
- Georgia Campbell
- Wellcome Trust Centre for Mitochondrial Research, and Newcastle University Centre for Brain Ageing and Vitality, Institute for Ageing and Health, Newcastle University, Newcastle upon Tyne, UK
| | - Kim J Krishnan
- Wellcome Trust Centre for Mitochondrial Research, and Newcastle University Centre for Brain Ageing and Vitality, Institute for Ageing and Health, Newcastle University, Newcastle upon Tyne, UK
| | - Marcus Deschauer
- Department of Neurology, Martin-Luther-University Halle-Wittenberg, Ernst-Grube Str. 40, Halle (Saale) D-06120, Germany
| | | | - Doug M Turnbull
- Wellcome Trust Centre for Mitochondrial Research, and Newcastle University Centre for Brain Ageing and Vitality, Institute for Ageing and Health, Newcastle University, Newcastle upon Tyne, UK
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17
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Popadin K, Safdar A, Kraytsberg Y, Khrapko K. When man got his mtDNA deletions? Aging Cell 2014; 13:579-82. [PMID: 24894296 PMCID: PMC4326951 DOI: 10.1111/acel.12231] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Accepted: 02/27/2014] [Indexed: 11/28/2022] Open
Abstract
Somatic mtDNA mutations and deletions in particular are known to clonally expand within cells, eventually reaching detrimental intracellular concentrations. The possibility that clonal expansion is a slow process taking a lifetime had prompted an idea that founder mutations of mutant clones that cause mitochondrial dysfunction in the aged tissue might have originated early in life. If, conversely, expansion was fast, founder mutations should predominantly originate later in life. This distinction is important: indeed, from which mutations should we protect ourselves – those of early development/childhood or those happening at old age? Recently, high-resolution data describing the distribution of mtDNA deletions have been obtained using a novel, highly efficient method (Taylor et al., 2014). These data have been interpreted as supporting predominantly early origin of founder mutations. Re-analysis of the data implies that the data actually better fit mostly late origin of founders, although more research is clearly needed to resolve the controversy.
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Affiliation(s)
| | - Adeel Safdar
- Beth Israel Deaconess Medical Center Harvard Medical School Boston, MA USA
| | | | - Konstantin Khrapko
- Beth Israel Deaconess Medical Center Harvard Medical School Boston, MA USA
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18
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Transcription could be the key to the selection advantage of mitochondrial deletion mutants in aging. Proc Natl Acad Sci U S A 2014; 111:2972-7. [PMID: 24569805 DOI: 10.1073/pnas.1314970111] [Citation(s) in RCA: 42] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/07/2023] Open
Abstract
The mitochondrial theory of aging is widely popular but confronted by several apparent inconsistencies. On the one hand, mitochondrial energy production is of central importance to the health and proper functioning of cells, and single-cell studies have shown that mtDNA deletion mutants accumulate in a clonal fashion in various mammalian species, displacing the wild-type mtDNAs. On the other hand, no explanation exists yet for the clonal expansion of mtDNA mutants that is compatible with experimental observations. We present here a new idea based on the distinctive connection between transcription and replication of metazoan mtDNA. Bioinformatic analysis of mtDNA deletion spectra strongly supports the predictions of this hypothesis and identifies specific candidates for proteins involved in transcriptional control of mtDNA replication. Computer simulations show the mechanism to be compatible with the available data from short- and long-lived mammalian species.
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Kowald A, Dawson M, Kirkwood TB. Mitochondrial mutations and ageing: Can mitochondrial deletion mutants accumulate via a size based replication advantage? J Theor Biol 2014; 340:111-8. [DOI: 10.1016/j.jtbi.2013.09.009] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/21/2013] [Revised: 08/22/2013] [Accepted: 09/09/2013] [Indexed: 11/16/2022]
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Kowald A, Klipp E. Mathematical models of mitochondrial aging and dynamics. PROGRESS IN MOLECULAR BIOLOGY AND TRANSLATIONAL SCIENCE 2014; 127:63-92. [PMID: 25149214 DOI: 10.1016/b978-0-12-394625-6.00003-9] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/20/2022]
Abstract
Research on the role of mitochondria in aging and disease is rapidly growing. Furthermore, in recent years, it also became clear that mitochondria are dynamic structures undergoing constant and rapid cycles of fusion and fission. The involvement of mitochondria in multiple complex processes makes them a prime target for mathematical and computational modeling. This review consists of two parts. In the first (Section 2), we provide a detailed introduction to the underlying concepts of mathematical modeling to help the reader who is not so familiar with these techniques to judge the requirements and results that can be obtained through modeling. In the second part (Section 3), we review existing mathematical and computational models that investigate mitochondrial dynamics and the role of mitochondria for the aging process.
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Affiliation(s)
- Axel Kowald
- Theoretical Biophysics, Institute for Biology, Humboldt-Universität zu Berlin, Berlin, Germany
| | - Edda Klipp
- Theoretical Biophysics, Institute for Biology, Humboldt-Universität zu Berlin, Berlin, Germany
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21
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Tam ZY, Gruber J, Halliwell B, Gunawan R. Mathematical modeling of the role of mitochondrial fusion and fission in mitochondrial DNA maintenance. PLoS One 2013; 8:e76230. [PMID: 24146842 PMCID: PMC3795767 DOI: 10.1371/journal.pone.0076230] [Citation(s) in RCA: 31] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/28/2013] [Accepted: 08/21/2013] [Indexed: 11/29/2022] Open
Abstract
Accumulation of mitochondrial DNA (mtDNA) mutations has been implicated in a wide range of human pathologies, including neurodegenerative diseases, sarcopenia, and the aging process itself. In cells, mtDNA molecules are constantly turned over (i.e. replicated and degraded) and are also exchanged among mitochondria during the fusion and fission of these organelles. While the expansion of a mutant mtDNA population is believed to occur by random segregation of these molecules during turnover, the role of mitochondrial fusion-fission in this context is currently not well understood. In this study, an in silico modeling approach is taken to investigate the effects of mitochondrial fusion and fission dynamics on mutant mtDNA accumulation. Here we report model simulations suggesting that when mitochondrial fusion-fission rate is low, the slow mtDNA mixing can lead to an uneven distribution of mutant mtDNA among mitochondria in between two mitochondrial autophagic events leading to more stochasticity in the outcomes from a single random autophagic event. Consequently, slower mitochondrial fusion-fission results in higher variability in the mtDNA mutation burden among cells in a tissue over time, and mtDNA mutations have a higher propensity to clonally expand due to the increased stochasticity. When these mutations affect cellular energetics, nuclear retrograde signalling can upregulate mtDNA replication, which is expected to slow clonal expansion of these mutant mtDNA. However, our simulations suggest that the protective ability of retrograde signalling depends on the efficiency of fusion-fission process. Our results thus shed light on the interplay between mitochondrial fusion-fission and mtDNA turnover and may explain the mechanism underlying the experimentally observed increase in the accumulation of mtDNA mutations when either mitochondrial fusion or fission is inhibited.
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Affiliation(s)
- Zhi Yang Tam
- Institute for Chemical and Bioengineering, ETH Zurich, Zurich, Switzerland
| | - Jan Gruber
- Department of Biochemistry, Centre for Life Sciences, National University of Singapore, Singapore, Singapore
| | - Barry Halliwell
- Department of Biochemistry, Centre for Life Sciences, National University of Singapore, Singapore, Singapore
| | - Rudiyanto Gunawan
- Institute for Chemical and Bioengineering, ETH Zurich, Zurich, Switzerland
- * E-mail:
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22
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Kowald A, Kirkwood TBL. Mitochondrial mutations and aging: random drift is insufficient to explain the accumulation of mitochondrial deletion mutants in short-lived animals. Aging Cell 2013; 12:728-31. [PMID: 23742009 DOI: 10.1111/acel.12098] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Accepted: 04/28/2013] [Indexed: 10/26/2022] Open
Abstract
Mitochondrial DNA deletions accumulate over the life course in post-mitotic cells of many species and may contribute to aging. Often a single mutant expands clonally and finally replaces the wild-type population of a whole cell. One proposal to explain the driving force behind this accumulation states that random drift alone, without any selection advantage, is sufficient to explain the clonal accumulation of a single mutant. Existing mathematical models show that such a process might indeed work for humans. However, to be a general explanation for the clonal accumulation of mtDNA mutants, it is important to know whether random drift could also explain the accumulation process in short-lived species like rodents. To clarify this issue, we modelled this process mathematically and performed extensive computer simulations to study how different mutation rates affect accumulation time and the resulting degree of heteroplasmy. We show that random drift works for lifespans of around 100 years, but for short-lived animals, the resulting degree of heteroplasmy is incompatible with experimental observations.
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Affiliation(s)
- Axel Kowald
- Centre for Integrated Systems Biology of Ageing and Nutrition Institute for Ageing and Health Newcastle University Newcastle upon Tyne NE4 5PLUK
| | - Thomas B. L. Kirkwood
- Centre for Integrated Systems Biology of Ageing and Nutrition Institute for Ageing and Health Newcastle University Newcastle upon Tyne NE4 5PLUK
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23
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Sukhorukov VM, Dikov D, Reichert AS, Meyer-Hermann M. Emergence of the mitochondrial reticulum from fission and fusion dynamics. PLoS Comput Biol 2012; 8:e1002745. [PMID: 23133350 PMCID: PMC3486901 DOI: 10.1371/journal.pcbi.1002745] [Citation(s) in RCA: 60] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/25/2012] [Accepted: 08/31/2012] [Indexed: 11/19/2022] Open
Abstract
Mitochondria form a dynamic tubular reticulum within eukaryotic cells. Currently, quantitative understanding of its morphological characteristics is largely absent, despite major progress in deciphering the molecular fission and fusion machineries shaping its structure. Here we address the principles of formation and the large-scale organization of the cell-wide network of mitochondria. On the basis of experimentally determined structural features we establish the tip-to-tip and tip-to-side fission and fusion events as dominant reactions in the motility of this organelle. Subsequently, we introduce a graph-based model of the chondriome able to encompass its inherent variability in a single framework. Using both mean-field deterministic and explicit stochastic mathematical methods we establish a relationship between the chondriome structural network characteristics and underlying kinetic rate parameters. The computational analysis indicates that mitochondrial networks exhibit a percolation threshold. Intrinsic morphological instability of the mitochondrial reticulum resulting from its vicinity to the percolation transition is proposed as a novel mechanism that can be utilized by cells for optimizing their functional competence via dynamic remodeling of the chondriome. The detailed size distribution of the network components predicted by the dynamic graph representation introduces a relationship between chondriome characteristics and cell function. It forms a basis for understanding the architecture of mitochondria as a cell-wide but inhomogeneous organelle. Analysis of the reticulum adaptive configuration offers a direct clarification for its impact on numerous physiological processes strongly dependent on mitochondrial dynamics and organization, such as efficiency of cellular metabolism, tissue differentiation and aging.
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Affiliation(s)
- Valerii M. Sukhorukov
- Helmholtz Centre for Infection Research, Braunschweig, Germany
- Frankfurt Institute for Advanced Studies, Frankfurt am Main, Germany
- * E-mail: (VMS); (MMH)
| | - Daniel Dikov
- Cluster of Excellence “Macromolecular Complexes”, Buchmann Institute for Molecular Life Sciences, Goethe University of Frankfurt am Main, Frankfurt am Main, Germany
- Mitochondrial Biology, Medical School, Goethe University of Frankfurt am Main, Frankfurt am Main, Germany
| | - Andreas S. Reichert
- Cluster of Excellence “Macromolecular Complexes”, Buchmann Institute for Molecular Life Sciences, Goethe University of Frankfurt am Main, Frankfurt am Main, Germany
- Mitochondrial Biology, Medical School, Goethe University of Frankfurt am Main, Frankfurt am Main, Germany
| | - Michael Meyer-Hermann
- Helmholtz Centre for Infection Research, Braunschweig, Germany
- Institute for Biochemistry and Biotechnology, Technical University Braunschweig, Braunschweig, Germany
- * E-mail: (VMS); (MMH)
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24
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Is mitochondrial DNA turnover slower than commonly assumed? Biogerontology 2012; 13:557-64. [DOI: 10.1007/s10522-012-9390-7] [Citation(s) in RCA: 25] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/07/2012] [Accepted: 07/21/2012] [Indexed: 11/27/2022]
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25
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Kirkwood TBL, Kowald A. The free-radical theory of ageing--older, wiser and still alive: modelling positional effects of the primary targets of ROS reveals new support. Bioessays 2012; 34:692-700. [PMID: 22641614 DOI: 10.1002/bies.201200014] [Citation(s) in RCA: 95] [Impact Index Per Article: 7.9] [Reference Citation Analysis] [Abstract] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/25/2023]
Abstract
The continuing viability of the free-radical theory of ageing has been questioned following apparently incompatible recent results. We show by modelling positional effects of the generation and primary targets of reactive oxygen species that many of the apparently negative results are likely to be misleading. We conclude that there is instead a need to look more closely at the mechanisms by which free radicals contribute to age-related dysfunction in living systems. There also needs to be deeper understanding of the dynamics of accumulation and removal of the various kinds of molecular damage, in particular mtDNA mutations. Finally, the expectation that free-radical damage on its own might cause ageing needs to be relinquished in favour of the recognition that the free-radical theory is just one of the multiple mechanisms driving the ageing process.
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Affiliation(s)
- Thomas B L Kirkwood
- Centre for Integrated Systems Biology of Ageing and Nutrition, Institute for Ageing and Health, Newcastle University, Newcastle Upon Tyne, UK.
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26
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Evolution of the mitochondrial fusion-fission cycle and its role in aging. Proc Natl Acad Sci U S A 2011; 108:10237-42. [PMID: 21646529 DOI: 10.1073/pnas.1101604108] [Citation(s) in RCA: 98] [Impact Index Per Article: 7.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022] Open
Abstract
Mitochondria are organelles of eukaryotic cells that contain their own genetic material and evolved from prokaryotic ancestors some 2 billion years ago. They are the main source of the cell's energy supply and are involved in such important processes as apoptosis, mitochondrial diseases, and aging. During recent years it also became apparent that mitochondria display a complex dynamical behavior of fission and fusion, the function of which is as yet unknown. In this paper we develop a concise theory that explains why fusion and fission have evolved, how these processes are related to the accumulation of mitochondrial mutants during aging, why the mitochondrial DNA has to be located close to the respiration complexes where most radicals are generated, and what selection pressures shaped the slightly different structure of animal and plant mitochondria. We believe that this "organelle control" theory will help in understanding key processes involved in the evolution of the mitochondrial genome and the aging process.
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27
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Nagata T. Electron Microscopic Radioautographic Study on the Protein Synthesis in the Pancreas of Aging Mice With Special Reference to Mitochondria. Gastroenterology Res 2011; 4:114-121. [PMID: 27942325 PMCID: PMC5139816 DOI: 10.4021/gr310e] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Accepted: 04/08/2011] [Indexed: 11/25/2022] Open
Abstract
BACKGROUND The purpose of this study was to investigate the aging changes of macromolecular synthesis in animal cells. METHODS We studied 10 groups of mice during development aged from fetal day 19 to postnatal month 24. They were injected with 3H-leucine, a precursor for protein synthesis, sacrificed and the pancreatic tissues were taken out, fixed and processed for light and electron microscopic radioautography. On many radioautograms the localization of silver grains demonstrating protein synthesis in pancreatic acinar cells in respective aging groups were first analyzed qualitatively. Then the number of silver grains and the number of cell organelles in each cell in respective aging groups were analyzed quantitatively in relation to the aging of animals. The number of mitochondria, the number of labeled mitochondria and the mitochondrial labeling index labeled with silver grains were counted in each pancreatic acinar cell. RESULTS AND CONCLUSIONS The number of silver grains in cell nuclei and cell organelles changed with the aging of animals. The number of mitochondria, the number of labeled mitochondria and the labeling indices showing protein synthesis at various ages increased from embryonic day 19 to postnatal newborn day 1, 3, 7, 14, to young adult month 1, and 2, reaching the maxima, then decreased at old adult month 6 and senile year 1 to 2, indicating the aging changes.
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Affiliation(s)
- Tetsuji Nagata
- Department of Anatomy and Cell Biology, Shinshu University School of Medicine, Matsumoto 390-8621, Matsumoto, and Department of Anatomy, Shinshu Institute of Alternative Medicine and Welfare, Nagano 380-0816, Japan.
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28
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Abstract
Over the course of our lifetime a stochastic process leads to gradual alterations of biomolecules on the molecular level, a process that is called ageing. Important changes are observed on the DNA-level as well as on the protein level and are the cause and/or consequence of our 'molecular clock', influenced by genetic as well as environmental parameters. These alterations on the molecular level may aid in forensic medicine to estimate the age of a living person, a dead body or even skeletal remains for identification purposes. Four such important alterations have become the focus of molecular age estimation in the forensic community over the last two decades. The age-dependent accumulation of the 4977bp deletion of mitochondrial DNA and the attrition of telomeres along with ageing are two important processes at the DNA-level. Among a variety of protein alterations, the racemisation of aspartic acid and advanced glycation endproducs have already been tested for forensic applications. At the moment the racemisation of aspartic acid represents the pinnacle of molecular age estimation for three reasons: an excellent standardization of sampling and methods, an evaluation of different variables in many published studies and highest accuracy of results. The three other mentioned alterations often lack standardized procedures, published data are sparse and often have the character of pilot studies. Nevertheless it is important to evaluate molecular methods for their suitability in forensic age estimation, because supplementary methods will help to extend and refine accuracy and reliability of such estimates.
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Affiliation(s)
- Christoph Meissner
- Department of Forensic Medicine, University of Schleswig-Holstein, Kahlhorststraße 31-35, 23562 Lübeck, Germany.
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29
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Nagata T. Macromolecular synthesis in the livers of aging mice as revealed by electron microscopic radioautography. ACTA ACUST UNITED AC 2010; 45:1-79. [DOI: 10.1016/j.proghi.2009.12.001] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/01/2009] [Accepted: 11/26/2009] [Indexed: 11/25/2022]
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30
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Poovathingal SK, Gruber J, Halliwell B, Gunawan R. Stochastic drift in mitochondrial DNA point mutations: a novel perspective ex silico. PLoS Comput Biol 2009; 5:e1000572. [PMID: 19936024 PMCID: PMC2771766 DOI: 10.1371/journal.pcbi.1000572] [Citation(s) in RCA: 32] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/28/2009] [Accepted: 10/20/2009] [Indexed: 02/02/2023] Open
Abstract
The mitochondrial free radical theory of aging (mFRTA) implicates Reactive Oxygen Species (ROS)-induced mutations of mitochondrial DNA (mtDNA) as a major cause of aging. However, fifty years after its inception, several of its premises are intensely debated. Much of this uncertainty is due to the large range of values in the reported experimental data, for example on oxidative damage and mutational burden in mtDNA. This is in part due to limitations with available measurement technologies. Here we show that sample preparations in some assays necessitating high dilution of DNA (single molecule level) may introduce significant statistical variability. Adding to this complexity is the intrinsically stochastic nature of cellular processes, which manifests in cells from the same tissue harboring varying mutation load. In conjunction, these random elements make the determination of the underlying mutation dynamics extremely challenging. Our in silico stochastic study reveals the effect of coupling the experimental variability and the intrinsic stochasticity of aging process in some of the reported experimental data. We also show that the stochastic nature of a de novo point mutation generated during embryonic development is a major contributor of different mutation burdens in the individuals of mouse population. Analysis of simulation results leads to several new insights on the relevance of mutation stochasticity in the context of dividing tissues and the plausibility of ROS ”vicious cycle” hypothesis. Aging is characterized by a systemic decline of an organism's capacity in responding to internal and external stresses, leading to increased mortality. The mitochondrial Free Radical Theory of Aging (mFRTA) attributes this decline to the accumulation of damages, in the form of mitochondrial DNA (mtDNA) mutations, caused by free radical byproducts of metabolism. However, there is still a great deal of uncertainty with this theory due to the difficulties in quantifying mtDNA mutation burden. In this modeling study, we have shown that a random drift in mtDNA point mutation during life, in combination with the experimental sampling can explain the variability seen in some of the reported experimental data. Particularly, we found that while the average mutation increases in a linear fashion, the variability in the mutation load data increases over time, and thus a low number of data replicates can often lead to a deceptive inference of the mutation burden dynamics. The model also predicted a significant contribution from the embryonic developmental phase to the accumulation of mtDNA mutation burden. Furthermore, the model revealed that the replication rate of mtDNA is a major determinant of new mutations during development and in fast-dividing tissues.
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Affiliation(s)
| | - Jan Gruber
- Department of Biochemistry, Neurobiology and Ageing Program, Centre for Life Science (CeLS), Singapore
| | - Barry Halliwell
- Department of Biochemistry, Neurobiology and Ageing Program, Centre for Life Science (CeLS), Singapore
| | - Rudiyanto Gunawan
- Department of Chemical and Biomolecular Engineering, National University of Singapore, Singapore
- * E-mail:
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31
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Meissner C, Bruse P, Mohamed SA, Schulz A, Warnk H, Storm T, Oehmichen M. The 4977 bp deletion of mitochondrial DNA in human skeletal muscle, heart and different areas of the brain: a useful biomarker or more? Exp Gerontol 2008; 43:645-652. [PMID: 18439778 DOI: 10.1016/j.exger.2008.03.004] [Citation(s) in RCA: 107] [Impact Index Per Article: 6.7] [Reference Citation Analysis] [Abstract] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/16/2007] [Revised: 02/20/2008] [Accepted: 03/11/2008] [Indexed: 12/21/2022]
Abstract
It has been suggested that deletions of mitochondrial DNA (mtDNA) are important players with regard to the ageing process. Since the early 1990s, the 4977 bp deletion has been studied in various tissues, especially in postmitotic tissues with high energy demand. Unfortunately, some of these studies included less than 10 subjects, so the aim of our study was to quantify reliably the deletion amount in nine different regions of human brain, heart and skeletal muscle in a cohort of 92 individuals. The basal ganglia contain the highest deletion amounts with values up to 2.93% and differences in deletion levels between early adolescence and older ages were up to three orders of magnitude. Values in frontal lobe were on average an order of magnitude lower, but lowest in cerebellar tissue where the amount was on average only 5 x 10(-3) of the basal ganglia. The deletion started to accumulate in iliopsoas muscle early in the fourth decade of life with values between 0.00019% and 0.0035% and was highest in a 102-year-old woman with 0.14%. In comparison to skeletal muscle, the overall abundance in heart muscle of the left ventricle was only one-third. The best linear logarithmic correlation between amount of the deletion and age was found in substantia nigra with r=0.87 (p<0.0005) followed by anterior wall of the left ventricle (r=0.82; p<0.0005). With regard to mitochondrial DNA damage, we propose to use the 4977 bp deletion as an ideal biomarker to discriminate between physiological ageing and accelerated ageing. The biological meaning of mitochondrial deletions in the process of ageing is under discussion, but there is experimental evidence that large-scale deletions impair the oxidative phosphorylation in single cells and sensitize these cells to undergo apoptosis.
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Affiliation(s)
- Christoph Meissner
- Department of Legal Medicine, University Hospital Schleswig-Holstein-Campus Luebeck, Kahlhorststrasse 31-35, 23562 Lübeck, Germany.
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32
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Mutations of mitochondrial DNA – cause or consequence of the ageing process? Z Gerontol Geriatr 2007; 40:325-33. [DOI: 10.1007/s00391-007-0481-z] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/01/2007] [Accepted: 07/30/2007] [Indexed: 01/07/2023]
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Abstract
The dentate gyrus (DG) contains one of the few neuronal populations in the mammalian brain that are generated throughout life. Research into the regulation and function of adult neurogenesis continues its rapid growth in popularity. With the researcher new to the field in mind, we review the processes that together constitute adult neurogenesis and some of the methods most commonly used for studying these processes. (c) 2006 Wiley-Liss, Inc.
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Affiliation(s)
- Brian R Christie
- Department of Psychology, University of British Columbia, Vancouver, British Columbia V6T 1Z4, Canada.
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34
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Kowald A, Jendrach M, Pohl S, Bereiter-Hahn J, Hammerstein P. On the relevance of mitochondrial fusions for the accumulation of mitochondrial deletion mutants: a modelling study. Aging Cell 2005; 4:273-83. [PMID: 16164426 DOI: 10.1111/j.1474-9726.2005.00169.x] [Citation(s) in RCA: 37] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/22/2022] Open
Abstract
The molecular mechanisms underlying the aging process are still unclear, but the clonal accumulation of mitochondrial deletion mutants is one of the prime candidates. An important question for the mitochondrial theory of aging is to discover how defective organelles might be selected at the expense of wild-type mitochondria. We propose that mitochondrial fission and fusion events are of critical importance for resolving this apparent contradiction. We show that the occurrence of fusions removes the problems associated with the idea that smaller DNA molecules accumulate because they replicate in a shorter time--the survival of the tiny (SOT) hypothesis. Furthermore, stochastic simulations of mitochondrial replication, mutation and degradation show that two important experimental findings, namely the overall low mosaic pattern of oxidative phosphorylation (OXPHOS) impaired cells in old organisms and the distribution of deletion sizes, can be reproduced and explained by this hypothesis. Finally, we make predictions that can be tested experimentally to further verify our explanation for the age-related accumulation of mitochondrial deletion mutants.
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Affiliation(s)
- Axel Kowald
- Kinetic Modelling Group, Max Planck Institute for Molecular Genetics, Ihnestr. 73, 14195 Berlin, Germany.
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35
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Nagata T, Ma H. Electron microscopic radioautographic study of RNA synthesis in hepatocyte mitochondria of aging mouse. Microsc Res Tech 2005; 67:55-64. [PMID: 16037977 DOI: 10.1002/jemt.20183] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
Abstract
In order to study the aging changes of intramitochondrial RNA synthesis in mouse hepatocytes, 10 groups of aging mice, each consisting of three individuals (total 30) from fetal day 19 to postnatal month 24 were injected with 3H-uridine, an RNA precursor, sacrificed 1 hour later, and the liver tissues processed for electron microscopic radioautography. On EM radioautograms obtained from each animal the number of mitochondria, the number of labeled mitochondria, and the mitochondrial labeling index labeled with 3H-uridine showing RNA synthesis in each hepatocytes, both mononucleate and binucleate cells, were counted and the averages in respective aging groups were compared. From the results it was demonstrated that the numbers of mitochondria, the numbers of labeled mitochondria, and the labeling indices of intramitochondrial RNA syntheses in both mononucleate and binucleate hepatocytes of mice at various ages increased and decreased according to the age of the animals.
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Affiliation(s)
- Tetsuji Nagata
- Department of Anatomy and Cell Biology, Shinshu University School of Medicine, Matsumoto, 390-8621, Japan.
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36
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Lee HM, Hu Z, Ma H, Greeley GH, Wang C, Englander EW. Developmental changes in expression and subcellular localization of the DNA repair glycosylase, MYH, in the rat brain. J Neurochem 2004; 88:394-400. [PMID: 14690527 DOI: 10.1046/j.1471-4159.2003.02164.x] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
Abstract
Mammalian cells employ a network of DNA repair pathways. DNA repair is required during development to ensure accuracy of DNA replication in the rapidly dividing embryonic cells and to maintain genomic integrity in the mature organism. An enzyme involved in repair of replication errors generated on either normal or oxidatively damaged DNA templates, is the mammalian ortholog of the Escherichia coli MutY DNA glycosylase (MYH). We show that levels of MYH isoform, detected at the E14 embryonic stage, decrease during embryonic and neonatal rat development, while new isoforms appear and gradually increase in the neonate and adult brain. The temporally declining expression of embryonic MYH resembles the pattern of proliferating cell nuclear antigen (PCNA) decline during this period. Immunohistochemical analyses of the embryonic brain show that cells staining for MYH initially coincide with cells staining for PCNA. At later stages PCNA declines, while MYH is detected primarily outside the nucleus. MutY-like glycosylase activity for adenines misincorporated opposite oxidized guanines is detected in both, embryonic and adult brain extracts. Together, these findings suggest that in proliferating embryonic cells, MYH might be primarily involved in post replicative repair of nuclear DNA, whereas in post mitotic neurons, in the repair of mitochondrial DNA.
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Affiliation(s)
- Heung-Man Lee
- Department of Surgery, The University of Texas Medical Branch, Galveston, Texas, USA
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Mohamed SA, Wesch D, Blumenthal A, Bruse P, Windler K, Ernst M, Kabelitz D, Oehmichen M, Meissner C. Detection of the 4977 bp deletion of mitochondrial DNA in different human blood cells. Exp Gerontol 2004; 39:181-8. [PMID: 15036410 DOI: 10.1016/j.exger.2003.10.011] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/23/2003] [Revised: 09/03/2003] [Accepted: 10/09/2003] [Indexed: 10/26/2022]
Abstract
As recently reported, it is possible to detect and quantify the amount of the deleted human mitochondrial DNA (mtDNA) in whole blood, platelets and peripheral blood mononuclear cells using real-time PCR. The aim of this study was to identify the cell types in human blood carrying the 4977 bp deleted mtDNA and their accumulation with regard to donor age. Whole blood from 10 healthy donors (five individuals aged from 19 to 22 years, five aged from 57 to 61 years) was separated in various cell populations such as granulocytes, B cells/monocytes and T cells. Purity of the cell isolates was determined by flow cytometry. Total DNA was extracted and 250 ng DNA of each cell type was subjected to PCR using fluorescent-labelled primer pairs. The specific PCR product of the 4977 bp deletion was quantified using an automated detection system. The accumulation of the 4977 bp deletion was more pronounced in T lymphocytes and granulocytes in comparison to B lymphocytes/monocytes. The amount of the 4977 bp deletion in whole blood varied from 0 to 0.00018%, in T lymphocytes from 0.00009 to 0.00160%, in granulocytes from 0 to 0.00162% and in the B lymphocyte/monocyte fraction from 0 to 0.00025%. The higher amount of the deletion in T lymphocytes may be due to a subset of lymphocytes with a longer lifespan thus facilitating the accumulation of mitochondrial damage. The higher amount in granulocytes could have the explanation in the higher release of free radicals for prevention of infectious diseases, because free radicals are supposed to damage the macromolecules of this cell type. The 10 donors displayed differences in the pattern of the accumulation with regard to the different cell types, but no age-dependent accumulation was observed. Differences of the accumulation pattern may be due to actual individual living behaviour or environmental factors.
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Affiliation(s)
- S A Mohamed
- Department of Legal Medicine, Medical University of Luebeck, Kahlhorststrasse 31-35, Luebeck 23562, Germany
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Lifshitz J, McIntosh TK. Age-associated mitochondrial DNA deletions are not evident chronically after experimental brain injury in the rat. J Neurotrauma 2003; 20:139-49. [PMID: 12675968 DOI: 10.1089/08977150360547062] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022] Open
Abstract
The enduring cognitive and sensorimotor deficits that result from traumatic brain injury (TBI) are associated with metabolic stress and free radical cascades, which establish conditions that may promote mitochondrial DNA (mtDNA) deletion and oxidation, often observed as a consequence of normal aging. Without substantial mtDNA repair mechanisms, permanent alterations to essential mitochondrial enzymes could perpetuate post-injury pathologic cascades. To determine whether mitochondria from the injured cortex and hippocampus sustain mtDNA damage after TBI, we evaluated mtDNA deletion and oxidation following lateral fluid percussion TBI in the anesthetized adult Sprague-Dawley rat (4 months) compared with uninjured adult and aged rats (n = 4/group). The presence of the 4.8-KB common deletion in mtDNA was assessed by conventional PCR to generate products representing total, non-deleted wild-type, and deleted mtDNA in homogenized tissue and isolated mitochondria 3 and 14 days following TBI. Total and wild-type mtDNA amplification products were obtained from cortical and hippocampal tissue and mitochondria for all conditions. Although no mtDNA deletions were observed following experimental TBI, mtDNA deletion was detected in cortical tissue, but not isolated mitochondria, of naive, aged (24 months) Sprague-Dawley rats, suggesting that the isolation protocol may exclude mitochondria harboring mtDNA damage. Oxidative mtDNA damage in isolated mitochondria assayed by ELISA for 8-hydroxy-2'-deoxyguanosine (8-OHdG) from cortical (0.50 +/- 0.08 pg 8-OHdG/ micro g mitochondria) and hippocampal (0.35 +/- 0.02) regions were unaffected by TBI. However, mitochondrial protein yields from injured and aged brains were comparable and significantly lower than uninjured brain, suggesting that the underlying pathology between TBI and aging may be similar.
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Affiliation(s)
- Jonathan Lifshitz
- Head Injury Center, Department of Neurosurgery, University of Pennsylvania, Philadelphia, PA 19104-6316, USA
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Englander EW, Hu Z, Sharma A, Lee HM, Wu ZH, Greeley GH. Rat MYH, a glycosylase for repair of oxidatively damaged DNA, has brain-specific isoforms that localize to neuronal mitochondria. J Neurochem 2002; 83:1471-80. [PMID: 12472901 DOI: 10.1046/j.1471-4159.2002.01259.x] [Citation(s) in RCA: 48] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
Abstract
Mitochondrial genomes are exposed to a heavy load of reactive oxygen species (ROS) that damage DNA. Since in neurons, mitochondrial DNA integrity must be maintained over the entire mammalian life span, neuronal mitochondria most likely repair oxidatively damaged DNA. We show that the Escherichia coli MutY DNA glycosylase homolog (MYH) in rat (rMYH) involved in repair of oxidative damage is abundantly expressed in the rat brain, with isoforms that are exclusive to brain tissue. Confocal microscopy and western analyses reveal localization of rMYH in neuronal mitochondria. To assess involvement of MYH in the neuronal response to oxidative DNA damage, we used a rat model of respiratory hypoxia, in which acutely reduced blood oxygenation leads to generation of superoxide, and formation and subsequent removal of 8-hydroxy-2'-deoxyguanosine (8OHdG). Removal of 8OHdG is accompanied by a spatial increase in rMYH immunoreactivity in the brain and an increase in levels of one of the three mitochondrial MYH isoforms, suggesting that inducible and non-inducible MYH isoforms exist in the brain. The mitochondrial localization of oxidative DNA damage repair enzymes in neurons may represent a specialized neuronal mechanism that safeguards mitochondrial genomes in the face of routine and accidental exposures to heavy loads of injurious ROS.
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Affiliation(s)
- Ella W Englander
- Department of Surgery, The University of Texas Medical Branch and Shriners Hospitals for Children, Galveston, Texas 77550, USA.
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Korr H, Botzem B, Schmitz C, Enzmann H. N-Nitrosomorpholine induced alterations of unscheduled DNA synthesis, mitochondrial DNA synthesis and cell proliferation in different cell types of liver, kidney, and urogenital organs in the rat. Chem Biol Interact 2001; 134:217-33. [PMID: 11311215 DOI: 10.1016/s0009-2797(01)00154-5] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
Abstract
In order to measure rates of unscheduled DNA synthesis (UDS), mitochondrial DNA synthesis, and cell proliferation, i.e. factors relevant in the early phase of carcinogenesis, young rats received by gavage 200 mg/kg N-nitrosomorpholine (NNM) or vehicle (distilled water), and were injected with 3H-thymidine 24 h later. Autoradiographs from liver, kidney, urethra, prostate, seminal vesicle, and ductus deferens were prepared from deparaffinized sections, using a 250-day exposure time. In the liver, UDS was at least doubled in 2n and 4n hepatocytes. Approximately 3% of these hepatocytes exhibited a fourfold increase in UDS. Such strongly labeled cells were only observed in the liver following NNM exposure. With the exception of renal epithelial cells of the proximal tubule, UDS in epithelial cells of bladder, urethra, ductus deferens, seminal vesicle and prostate was decreased in NNM-exposed rats. Mitochondrial DNA synthesis and cell proliferation were significantly increased only in hepatocytes, and were decreased in all other monitored organs in NNM-exposed rats. The strongly increased UDS and more moderately increased mitochondrial DNA synthesis in a subgroup of hepatocytes suggest that possibly some unrepaired damage persists in the DNA of these cells. The latter cells may be the precursors of so-called foci of hepatocellular alteration, which appear later during the process of carcinogenesis. The increased UDS but decreased rate of proliferation in the renal proximal tubule cells might be related to renal carcinogenesis which is observed in NNM-exposed rats after a long latency period.
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Affiliation(s)
- H Korr
- Department of Anatomy and Cell Biology, RWTH University of Aachen, Pauwelsstrasse/Wendlingweg 2, D-52057, Aachen, Germany.
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