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Gordon NK, Chen Z, Gordon R, Zou Y. French flag gradients and Turing reaction-diffusion versus differentiation waves as models of morphogenesis. Biosystems 2020; 196:104169. [PMID: 32485350 DOI: 10.1016/j.biosystems.2020.104169] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/06/2020] [Revised: 05/11/2020] [Accepted: 05/11/2020] [Indexed: 01/01/2023]
Abstract
The Turing reaction-diffusion model and the French Flag Model are widely accepted in the field of development as the best models for explaining embryogenesis. Virtually all current attempts to understand cell differentiation in embryos begin and end with the assumption that some combination of these two models works. The result may become a bias in embryogenesis in assuming the problem has been solved by these two-chemical substance-based models. Neither model is applied consistently. We review the differences between the French Flag, Turing reaction-diffusion model, and a mechanochemical model called the differentiation wave/cell state splitter model. The cytoskeletal cell state splitter and the embryonic differentiation waves was first proposed in 1987 as a combined physics and chemistry model for cell differentiation in embryos, based on empirical observations on urodele amphibian embryos. We hope that the development of theory can be advanced and observations relevant to distinguishing the embryonic differentiation wave model from the French Flag model and reaction-diffusion equations will be taken up by experimentalists. Experimentalists rely on mathematical biologists for theory, and therefore depend on them for what parameters they choose to measure and ignore. Therefore, mathematical biologists need to fully understand the distinctions between these three models.
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Affiliation(s)
| | - Zhan Chen
- Department of Mathematical Sciences, Georgia Southern University, Statesboro, GA, USA.
| | - Richard Gordon
- Gulf Specimen Marine Laboratory & Aquarium, 222 Clark Drive, Panacea, FL, 32346, USA; C.S. Mott Center for Human Growth & Development, Department of Obstetrics & Gynecology, Wayne State University, 275 E. Hancock, Detroit, MI, 48201, USA.
| | - Yuting Zou
- Department of Mathematical Sciences, Georgia Southern University, Statesboro, GA, USA.
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Miller WB, Torday JS, Baluška F. The N-space Episenome unifies cellular information space-time within cognition-based evolution. PROGRESS IN BIOPHYSICS AND MOLECULAR BIOLOGY 2019; 150:112-139. [PMID: 31415772 DOI: 10.1016/j.pbiomolbio.2019.08.006] [Citation(s) in RCA: 22] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/13/2019] [Revised: 07/26/2019] [Accepted: 08/09/2019] [Indexed: 02/08/2023]
Abstract
Self-referential cellular homeostasis is maintained by the measured assessment of both internal status and external conditions based within an integrated cellular information field. This cellular field attachment to biologic information space-time coordinates environmental inputs by connecting the cellular senome, as the sum of the sensory experiences of the cell, with its genome and epigenome. In multicellular organisms, individual cellular information fields aggregate into a collective information architectural matrix, termed a N-space Episenome, that enables mutualized organism-wide information management. It is hypothesized that biological organization represents a dual heritable system constituted by both its biological materiality and a conjoining N-space Episenome. It is further proposed that morphogenesis derives from reciprocations between these inter-related facets to yield coordinated multicellular growth and development. The N-space Episenome is conceived as a whole cell informational projection that is heritable, transferable via cell division and essential for the synchronous integration of the diverse self-referential cells that constitute holobionts.
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Affiliation(s)
| | - John S Torday
- Department of Pediatrics, Harbor-UCLA Medical Center, USA.
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Igamberdiev AU. Hyper-restorative non-equilibrium state as a driving force of biological morphogenesis. Biosystems 2018; 173:104-113. [DOI: 10.1016/j.biosystems.2018.09.014] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/25/2018] [Revised: 09/20/2018] [Accepted: 09/25/2018] [Indexed: 12/13/2022]
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Siregar P, Julen N, Hufnagl P, Mutter G. A general framework dedicated to computational morphogenesis Part I - Constitutive equations. Biosystems 2018; 173:298-313. [PMID: 30005999 DOI: 10.1016/j.biosystems.2018.07.003] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/24/2018] [Revised: 05/30/2018] [Accepted: 07/05/2018] [Indexed: 01/14/2023]
Abstract
In order to understand living organisms, considerable experimental efforts and resources have been devoted to correlate genes and their expressions with cell, tissue, organ and whole organisms' phenotypes. This data driven approach to knowledge discovery has led to many breakthrough in our understanding of healthy and diseased states, and is paving the way to improve the diagnosis and treatment of diseases. Complementary to this data-driven approach, computational models of biological systems based on first principles have been developed in order to deepen our understanding of the multi-scale dynamics that drives normal and pathological biological functions. In this paper we describe the biological, physical and mathematical concepts that led to the design of a Computational Morphogenesis (CM) platform baptized Generic Modeling and Simulating Platform (GMSP). Its role is to generate realistic 3D multi-scale biological tissues from virtual stem cells and the intended target applications include in virtuo studies of normal and abnormal tissue (re)generation as well as the development of complex diseases such as carcinogenesis. At all space-scales of interest, biological agents interact with each other via biochemical, bioelectrical, and mechanical fields that operate in concert during embryogenesis, growth and adult life. The spatio-temporal dependencies of these fields can be modeled by physics-based constitutive equations that we propose to examine in relation to the landmark biological events that occur during embryogenesis.
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Affiliation(s)
| | | | - Peter Hufnagl
- Department of Digital Pathology and IT, Institute of Pathology, Charité - Universitätsmedizin Berlin, Berlin, Germany
| | - George Mutter
- Department of Pathology, Harvard Medical School and Brigham and Women's Hospital, Boston, MA, USA
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Siregar P, Julen N, Hufnagl P, Mutter GL. Computational morphogenesis – Embryogenesis, cancer research and digital pathology. Biosystems 2018; 169-170:40-54. [DOI: 10.1016/j.biosystems.2018.05.006] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/01/2018] [Accepted: 05/25/2018] [Indexed: 01/14/2023]
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Igamberdiev AU, Shklovskiy-Kordi NE. The quantum basis of spatiotemporality in perception and consciousness. PROGRESS IN BIOPHYSICS AND MOLECULAR BIOLOGY 2017; 130:15-25. [PMID: 28232245 DOI: 10.1016/j.pbiomolbio.2017.02.008] [Citation(s) in RCA: 30] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/01/2016] [Accepted: 02/16/2017] [Indexed: 12/21/2022]
Abstract
Living systems inhabit the area of the world which is shaped by the predictable space-time of physical objects and forces that can be incorporated into their perception pattern. The process of selecting a "habitable" space-time is the internal quantum measurement in which living systems become embedded into the environment that supports their living state. This means that living organisms choose a coordinate system in which the influence of measurement is minimal. We discuss specific roles of biological macromolecules, in particular of the cytoskeleton, in shaping perception patterns formed in the internal measurement process. Operation of neuron is based on the transmission of signals via cytoskeleton where the digital output is generated that can be decoded through a reflective action of the perceiving agent. It is concluded that the principle of optimality in biology as formulated by Liberman et al. (BioSystems 22, 135-154, 1989) is related to the establishment of spatiotemporal patterns that are maximally predictable and can hold the living state for a prolonged time. This is achieved by the selection of a habitable space approximated to the conditions described by classical physics.
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Affiliation(s)
- Abir U Igamberdiev
- Department of Biology, Memorial University of Newfoundland, St. John's, NL A1B 3X9, Canada.
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Abstract
The central nervous system (CNS) underlies memory, perception, decision-making, and behavior in numerous organisms. However, neural networks have no monopoly on the signaling functions that implement these remarkable algorithms. It is often forgotten that neurons optimized cellular signaling modes that existed long before the CNS appeared during evolution, and were used by somatic cellular networks to orchestrate physiology, embryonic development, and behavior. Many of the key dynamics that enable information processing can, in fact, be implemented by different biological hardware. This is widely exploited by organisms throughout the tree of life. Here, we review data on memory, learning, and other aspects of cognition in a range of models, including single celled organisms, plants, and tissues in animal bodies. We discuss current knowledge of the molecular mechanisms at work in these systems, and suggest several hypotheses for future investigation. The study of cognitive processes implemented in aneural contexts is a fascinating, highly interdisciplinary topic that has many implications for evolution, cell biology, regenerative medicine, computer science, and synthetic bioengineering.
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Affiliation(s)
- František Baluška
- Department of Plant Cell Biology, IZMB, University of Bonn Bonn, Germany
| | - Michael Levin
- Biology Department, Tufts Center for Regenerative and Developmental Biology, Tufts University Medford, MA, USA
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Pezzulo G, Levin M. Re-membering the body: applications of computational neuroscience to the top-down control of regeneration of limbs and other complex organs. Integr Biol (Camb) 2015; 7:1487-517. [PMID: 26571046 DOI: 10.1039/c5ib00221d] [Citation(s) in RCA: 105] [Impact Index Per Article: 10.5] [Reference Citation Analysis] [Abstract] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/16/2022]
Abstract
A major goal of regenerative medicine and bioengineering is the regeneration of complex organs, such as limbs, and the capability to create artificial constructs (so-called biobots) with defined morphologies and robust self-repair capabilities. Developmental biology presents remarkable examples of systems that self-assemble and regenerate complex structures toward their correct shape despite significant perturbations. A fundamental challenge is to translate progress in molecular genetics into control of large-scale organismal anatomy, and the field is still searching for an appropriate theoretical paradigm for facilitating control of pattern homeostasis. However, computational neuroscience provides many examples in which cell networks - brains - store memories (e.g., of geometric configurations, rules, and patterns) and coordinate their activity towards proximal and distant goals. In this Perspective, we propose that programming large-scale morphogenesis requires exploiting the information processing by which cellular structures work toward specific shapes. In non-neural cells, as in the brain, bioelectric signaling implements information processing, decision-making, and memory in regulating pattern and its remodeling. Thus, approaches used in computational neuroscience to understand goal-seeking neural systems offer a toolbox of techniques to model and control regenerative pattern formation. Here, we review recent data on developmental bioelectricity as a regulator of patterning, and propose that target morphology could be encoded within tissues as a kind of memory, using the same molecular mechanisms and algorithms so successfully exploited by the brain. We highlight the next steps of an unconventional research program, which may allow top-down control of growth and form for numerous applications in regenerative medicine and synthetic bioengineering.
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Affiliation(s)
- G Pezzulo
- Institute of Cognitive Sciences and Technologies, National Research Council, Rome, Italy
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Igamberdiev AU. Time rescaling and pattern formation in biological evolution. Biosystems 2014; 123:19-26. [DOI: 10.1016/j.biosystems.2014.03.002] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/05/2014] [Revised: 03/14/2014] [Accepted: 03/20/2014] [Indexed: 01/15/2023]
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Grigoriev D, Reinitz J, Vakulenko S, Weber A. Punctuated evolution and robustness in morphogenesis. Biosystems 2014; 123:106-13. [PMID: 24996115 PMCID: PMC4283494 DOI: 10.1016/j.biosystems.2014.06.013] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/08/2014] [Revised: 06/25/2014] [Accepted: 06/29/2014] [Indexed: 11/23/2022]
Abstract
This paper presents an analytic approach to the pattern stability and evolution problem in morphogenesis. The approach used here is based on the ideas from the gene and neural network theory. We assume that gene networks contain a number of small groups of genes (called hubs) controlling morphogenesis process. Hub genes represent an important element of gene network architecture and their existence is empirically confirmed. We show that hubs can stabilize morphogenetic pattern and accelerate the morphogenesis. The hub activity exhibits an abrupt change depending on the mutation frequency. When the mutation frequency is small, these hubs suppress all mutations and gene product concentrations do not change, thus, the pattern is stable. When the environmental pressure increases and the population needs new genotypes, the genetic drift and other effects increase the mutation frequency. For the frequencies that are larger than a critical amount the hubs turn off; and as a result, many mutations can affect phenotype. This effect can serve as an engine for evolution. We show that this engine is very effective: the evolution acceleration is an exponential function of gene redundancy. Finally, we show that the Eldredge-Gould concept of punctuated evolution results from the network architecture, which provides fast evolution, control of evolvability, and pattern robustness. To describe analytically the effect of exponential acceleration, we use mathematical methods developed recently for hard combinatorial problems, in particular, for so-called k-SAT problem, and numerical simulations.
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Affiliation(s)
- D Grigoriev
- CNRS, Mathématiques, Université de Lille, Villeneuve d'Ascq 59655, France.
| | - J Reinitz
- Department of Statistics, University of Chicago, Chicago, IL 60637, United States; Department of Ecology and Evolution, University of Chicago, United States; Department of Molecular Genetics and Cell Biology, University of Chicago, United States; Institute for Genomics and Systems Biology, University of Chicago, United States.
| | - S Vakulenko
- Institute for Mechanical Engineering Problems, Bolshoy pr. V. O.61, Sankt Petersburg, Russia; ITMO University, Sankt Petersburg, Russia.
| | - A Weber
- Computer Science Department, University of Bonn, 53113 Bonn, Germany.
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Igamberdiev AU. Biomechanical and coherent phenomena in morphogenetic relaxation processes. Biosystems 2012; 109:336-45. [DOI: 10.1016/j.biosystems.2012.05.006] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/20/2012] [Revised: 05/04/2012] [Accepted: 05/14/2012] [Indexed: 01/06/2023]
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