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Innerarity Imizcoz J, Djema W, Mairet F, Gouzé JL. Optimal resource allocation in micro-organisms under periodic nutrient fluctuations. J Theor Biol 2024; 595:111953. [PMID: 39357598 DOI: 10.1016/j.jtbi.2024.111953] [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: 05/13/2024] [Revised: 09/12/2024] [Accepted: 09/19/2024] [Indexed: 10/04/2024]
Abstract
Although microorganisms often live in dynamic environments, most studies, both experimental and theoretical, are carried out under static conditions. In this work, we investigate the issue of optimal resource allocation in bacteria growing in periodic environments. We consider a dynamic model describing the microbial metabolism under varying conditions, involving a control variable quantifying the protein precursors allocation. Our objective is to determine the optimal strategies maximizing the long-term growth of cells under a piecewise-constant periodic environment. Firstly, we perform a theoretical analysis of the resulting optimal control problem (OCP), based on the application the Pontryagin's Maximum Principle (PMP). We determine that the structure of the optimal control must be bang-bang, with possibly some singular arcs corresponding to optimal equilibria of the system. If the control presents singular arcs, then these can only be reached and left through chattering arcs. We also use a direct optimization method, implemented in the BOCOP software, to solve the studied OCP. Our study reveals that the optimal solution over a large time horizon is related to the one over a single period of the varying environment with periodic constraints. Moreover, we observe that the maximal average growth rate attainable under periodic conditions can be higher than the one under a constant environment. We further extend our analysis to conduct a qualitative comparison between the predictions from our model and some recent biological experiments on E. coli. This analysis particularly highlights the mechanisms of action of the ppGpp signaling molecule, thus providing relevant explanations of the experimental observations. In conclusion, our study corroborates previous research indicating that this molecule plays a crucial role in the regulation of resource allocation of protein precursors in E. coli.
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Affiliation(s)
| | - W Djema
- Université Côte d'Azur, Inria, Sorbonne Université, CNRS, INRAE, Biocore team, France
| | - F Mairet
- Ifremer, PHYTOX, Laboratoire Physalg, France
| | - J-L Gouzé
- Université Côte d'Azur, Inria, INRAE, CNRS, Macbes team, France
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Francois JM, Alkim C, Morin N. Engineering microbial pathways for production of bio-based chemicals from lignocellulosic sugars: current status and perspectives. BIOTECHNOLOGY FOR BIOFUELS 2020; 13:118. [PMID: 32670405 PMCID: PMC7341569 DOI: 10.1186/s13068-020-01744-6] [Citation(s) in RCA: 43] [Impact Index Per Article: 8.6] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/11/2019] [Accepted: 06/01/2020] [Indexed: 05/08/2023]
Abstract
Lignocellulose is the most abundant biomass on earth with an annual production of about 2 × 1011 tons. It is an inedible renewable carbonaceous resource that is very rich in pentose and hexose sugars. The ability of microorganisms to use lignocellulosic sugars can be exploited for the production of biofuels and chemicals, and their concurrent biotechnological processes could advantageously replace petrochemicals' processes in a medium to long term, sustaining the emerging of a new economy based on bio-based products from renewable carbon sources. One of the major issues to reach this objective is to rewire the microbial metabolism to optimally configure conversion of these lignocellulosic-derived sugars into bio-based products in a sustainable and competitive manner. Systems' metabolic engineering encompassing synthetic biology and evolutionary engineering appears to be the most promising scientific and technological approaches to meet this challenge. In this review, we examine the most recent advances and strategies to redesign natural and to implement non-natural pathways in microbial metabolic framework for the assimilation and conversion of pentose and hexose sugars derived from lignocellulosic material into industrial relevant chemical compounds leading to maximal yield, titer and productivity. These include glycolic, glutaric, mesaconic and 3,4-dihydroxybutyric acid as organic acids, monoethylene glycol, 1,4-butanediol and 1,2,4-butanetriol, as alcohols. We also discuss the big challenges that still remain to enable microbial processes to become industrially attractive and economically profitable.
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Affiliation(s)
- Jean Marie Francois
- Toulouse Biotechnology Institute, CNRS, INRA, LISBP INSA, 135 Avenue de Rangueil, Toulouse Cedex 04, 31077 France
- Toulouse White Biotechnology (TWB, UMS INRA/INSA/CNRS), NAPA CENTER Bât B, 3 Rue Ariane 31520, Ramonville Saint-Agnes, France
| | - Ceren Alkim
- Toulouse Biotechnology Institute, CNRS, INRA, LISBP INSA, 135 Avenue de Rangueil, Toulouse Cedex 04, 31077 France
- Toulouse White Biotechnology (TWB, UMS INRA/INSA/CNRS), NAPA CENTER Bât B, 3 Rue Ariane 31520, Ramonville Saint-Agnes, France
| | - Nicolas Morin
- Toulouse Biotechnology Institute, CNRS, INRA, LISBP INSA, 135 Avenue de Rangueil, Toulouse Cedex 04, 31077 France
- Toulouse White Biotechnology (TWB, UMS INRA/INSA/CNRS), NAPA CENTER Bât B, 3 Rue Ariane 31520, Ramonville Saint-Agnes, France
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Guebel DV, Torres NV. Influence of Glucose Availability and CRP Acetylation on the Genome-Wide Transcriptional Response of Escherichia coli: Assessment by an Optimized Factorial Microarray Analysis. Front Microbiol 2018; 9:941. [PMID: 29875739 PMCID: PMC5974110 DOI: 10.3389/fmicb.2018.00941] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/17/2018] [Accepted: 04/23/2018] [Indexed: 12/27/2022] Open
Abstract
Background: While in eukaryotes acetylation/deacetylation regulation exerts multiple pleiotropic effects, in Escherichia coli it seems to be more limited and less known. Hence, we aimed to progress in the characterization of this regulation by dealing with three convergent aspects: the effector enzymes involved, the master regulator CRP, and the dependence on glucose availability. Methods: The transcriptional response of E. coli BW25113 was analyzed across 14 relevant scenarios. These conditions arise when the wild type and four isogenic mutants (defective in deacetylase CobB, defective in N(ε)-lysine acetyl transferase PatZ, Q- and R-type mutants of protein CRP) are studied under three levels of glucose availability (glucose-limited chemostat and glucose-excess or glucose-exhausted in batch culture). The Q-type emulates a permanent stage of CRPacetylated, whereas the R-type emulates a permanent stage of CRPdeacetylated. The data were analyzed by an optimized factorial microarray method (Q-GDEMAR). Results: (a) By analyzing one mutant against the other, we were able to unravel the true genes that participate in the interaction between ΔcobB/ΔpatZ mutations and glucose availability; (b) Increasing stages of glucose limitation appear to be associated with the up-regulation of specific sets of target genes rather than with the loss of genes present when glucose is in excess; (c) Both CRPdeacetylated and CRPacetylated produce extensive changes in specific subsets of genes, but their number and identity depend on the glucose availability; (d) In other sub-sets of genes, the transcriptional effect of CRP seems to be independent of its acetylation or deacetylation; (e) Some specific ontology functions can be associated with each of the different sets of genes detected herein. Conclusions: CRP cannot be thought of only as an effector of catabolite repression, because it acts along all the glucose conditions tested (excess, limited, and exhausted), exerting both positive and negative effects through different sets of genes. Acetylation of CRP does not seem to be a binary form of regulation, as there is not a univocal relationship between its activation/inhibitory effect and its acetylation/deacetylation stage. All the combinatorial possibilities are observed. During the exponential growth phase, CRP also exerts a very significant transcriptional effect, mainly on flagellar assembly and chemotaxis (FDR = 7.2 × 10−44).
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Affiliation(s)
| | - Néstor V Torres
- Systems Biology and Mathematical Modelling Group, Department of Biochemistry, Microbiology, Cellular Biology and Genetics, Institute of Biomedical Technologies, Center for Biomedical Research of the Canary Islands, University of La Laguna, San Cristóbal de La Laguna, Spain
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Giordano N, Mairet F, Gouzé JL, Geiselmann J, de Jong H. Dynamical Allocation of Cellular Resources as an Optimal Control Problem: Novel Insights into Microbial Growth Strategies. PLoS Comput Biol 2016; 12:e1004802. [PMID: 26958858 PMCID: PMC4784908 DOI: 10.1371/journal.pcbi.1004802] [Citation(s) in RCA: 50] [Impact Index Per Article: 5.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/02/2015] [Accepted: 02/08/2016] [Indexed: 02/03/2023] Open
Abstract
Microbial physiology exhibits growth laws that relate the macromolecular composition of the cell to the growth rate. Recent work has shown that these empirical regularities can be derived from coarse-grained models of resource allocation. While these studies focus on steady-state growth, such conditions are rarely found in natural habitats, where microorganisms are continually challenged by environmental fluctuations. The aim of this paper is to extend the study of microbial growth strategies to dynamical environments, using a self-replicator model. We formulate dynamical growth maximization as an optimal control problem that can be solved using Pontryagin’s Maximum Principle. We compare this theoretical gold standard with different possible implementations of growth control in bacterial cells. We find that simple control strategies enabling growth-rate maximization at steady state are suboptimal for transitions from one growth regime to another, for example when shifting bacterial cells to a medium supporting a higher growth rate. A near-optimal control strategy in dynamical conditions is shown to require information on several, rather than a single physiological variable. Interestingly, this strategy has structural analogies with the regulation of ribosomal protein synthesis by ppGpp in the enterobacterium Escherichia coli. It involves sensing a mismatch between precursor and ribosome concentrations, as well as the adjustment of ribosome synthesis in a switch-like manner. Our results show how the capability of regulatory systems to integrate information about several physiological variables is critical for optimizing growth in a changing environment. Microbial growth is the process by which cells sustain and reproduce themselves from available matter and energy. Strategies enabling microorganisms to optimize their growth rate have been extensively studied, but mostly in stable environments. Here, we build a coarse-grained model of microbial growth and use methods from optimal control theory to determine a resource allocation scheme that would lead to maximal biomass accumulation when the cells are dynamically shifted from one growth medium to another. We compare this optimal solution with several cellular implementations of growth control, based on the capacity of the cell to sense different physiological variables. We find that strategies maximizing growth in steady-state conditions perform quite differently in dynamical conditions. Moreover, the control strategy with performance close to the theoretical maximum exploits information of more than one physiological variable, suggesting that optimization of microbial growth in dynamical rather than steady environments requires broader sensory capacities. Interestingly, the ppGpp alarmone system in the enterobacterium Escherichia coli, known to play an important role in growth control, has structural similarities with the control strategy approaching the theoretical maximum. It senses a discrepancy between the concentrations of precursors and ribosomes, and adjusts ribosome synthesis in an on-off fashion. This suggests that E. coli is adapted for environments with intermittent, rapid changes in nutrient availability.
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Affiliation(s)
- Nils Giordano
- Université Grenoble Alpes, Laboratoire Interdisciplinaire de Physique (CNRS UMR 5588), Saint Martin d’Hères, France
- Inria, Grenoble - Rhône-Alpes research centre, Montbonnot, Saint Ismier Cedex, France
| | - Francis Mairet
- Inria, Sophia-Antipolis Méditerranée research centre, Sophia-Antipolis Cedex, France
| | - Jean-Luc Gouzé
- Inria, Sophia-Antipolis Méditerranée research centre, Sophia-Antipolis Cedex, France
| | - Johannes Geiselmann
- Université Grenoble Alpes, Laboratoire Interdisciplinaire de Physique (CNRS UMR 5588), Saint Martin d’Hères, France
- Inria, Grenoble - Rhône-Alpes research centre, Montbonnot, Saint Ismier Cedex, France
- * E-mail: (JG); (HdJ)
| | - Hidde de Jong
- Inria, Grenoble - Rhône-Alpes research centre, Montbonnot, Saint Ismier Cedex, France
- * E-mail: (JG); (HdJ)
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Borirak O, Rolfe MD, de Koning LJ, Hoefsloot HCJ, Bekker M, Dekker HL, Roseboom W, Green J, de Koster CG, Hellingwerf KJ. Time-series analysis of the transcriptome and proteome of Escherichia coli upon glucose repression. BIOCHIMICA ET BIOPHYSICA ACTA-PROTEINS AND PROTEOMICS 2015; 1854:1269-79. [PMID: 26049081 DOI: 10.1016/j.bbapap.2015.05.017] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/02/2015] [Revised: 05/12/2015] [Accepted: 05/28/2015] [Indexed: 10/23/2022]
Abstract
Time-series transcript- and protein-profiles were measured upon initiation of carbon catabolite repression in Escherichia coli, in order to investigate the extent of post-transcriptional control in this prototypical response. A glucose-limited chemostat culture was used as the CCR-free reference condition. Stopping the pump and simultaneously adding a pulse of glucose, that saturated the cells for at least 1h, was used to initiate the glucose response. Samples were collected and subjected to quantitative time-series analysis of both the transcriptome (using microarray analysis) and the proteome (through a combination of 15N-metabolic labeling and mass spectrometry). Changes in the transcriptome and corresponding proteome were analyzed using statistical procedures designed specifically for time-series data. By comparison of the two sets of data, a total of 96 genes were identified that are post-transcriptionally regulated. This gene list provides candidates for future in-depth investigation of the molecular mechanisms involved in post-transcriptional regulation during carbon catabolite repression in E. coli, like the involvement of small RNAs.
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Affiliation(s)
- Orawan Borirak
- Molecular Microbial Physiology, Swammerdam Institute for Life Sciences, University of Amsterdam, The Netherlands
| | - Matthew D Rolfe
- Krebs Institute, Molecular Biology and Biotechnology, University of Sheffield, United Kingdom
| | - Leo J de Koning
- Mass Spectrometry of Biomacromolecules, Swammerdam Institute for Life Sciences, University of Amsterdam, The Netherlands
| | - Huub C J Hoefsloot
- Biosystems Data Analysis, Swammerdam Institute for Life Sciences, University of Amsterdam, The Netherlands
| | - Martijn Bekker
- Molecular Microbial Physiology, Swammerdam Institute for Life Sciences, University of Amsterdam, The Netherlands
| | - Henk L Dekker
- Mass Spectrometry of Biomacromolecules, Swammerdam Institute for Life Sciences, University of Amsterdam, The Netherlands
| | - Winfried Roseboom
- Mass Spectrometry of Biomacromolecules, Swammerdam Institute for Life Sciences, University of Amsterdam, The Netherlands
| | - Jeffrey Green
- Krebs Institute, Molecular Biology and Biotechnology, University of Sheffield, United Kingdom
| | - Chris G de Koster
- Mass Spectrometry of Biomacromolecules, Swammerdam Institute for Life Sciences, University of Amsterdam, The Netherlands
| | - Klaas J Hellingwerf
- Molecular Microbial Physiology, Swammerdam Institute for Life Sciences, University of Amsterdam, The Netherlands.
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