Toward an Integrated Physiological Theory of Microbial Growth: From Subcellular Variables to Population Dynamics

The dynamics of microbial growth is a problem of fundamental interest in microbiology,microbial ecology, and biotechnology. The pioneering work of JacobMonod, served as a starting point for developing a wealth of mathematicalmodels that address different aspects of microbial growth inbatch and conti...

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Main Authors: Atul Narang, Sergei S. Pilyugin
Format: Article
Language:English
Published: AIMS Press 2004-10-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.169
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author Atul Narang
Sergei S. Pilyugin
author_facet Atul Narang
Sergei S. Pilyugin
author_sort Atul Narang
collection DOAJ
description The dynamics of microbial growth is a problem of fundamental interest in microbiology,microbial ecology, and biotechnology. The pioneering work of JacobMonod, served as a starting point for developing a wealth of mathematicalmodels that address different aspects of microbial growth inbatch and continuous cultures. A number of phenomenological modelshave appeared in the literature over the last half century. Thesemodels can capture the steady-state behavior of pure and mixed cultures,but fall short of explaining most of the complex dynamic phenomena.This is because the onset of these complex dynamics is invariablydriven by one or more intracellular variables not accountedfor by phenomenological models.  &nbsp In this paper, we provide an overview of the experimental data, andintroduce a different class of mathematical models that can be usedto understand microbial growth dynamics. In addition to the standardvariables such as the cell and substrate concentrations, these modelsexplicitly include the dynamics of the physiological variables responsiblefor adaptation of the cells to environmental variations. We presentthese physiological models in the order of increasing complexity.Thus, we begin with models of single-species growth in environmentscontaining a single growth-limiting substrate, then advance to modelsof single-species growth in mixed-substrate media, and conclude withmodels of multiple-species growth in mixed-substrate environments.Throughout the paper, we discuss both the analytical and simulationtechniques to illustrate how these models capture and explain variousexperimental phenomena. Finally, we also present open questions andpossible directions for future research that would integrate thesemodels into a global physiological theory of microbial growth.
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spelling doaj-art-31289223d5fd4b4c8bba65af174d3a322025-01-24T01:47:56ZengAIMS PressMathematical Biosciences and Engineering1551-00182004-10-012116920610.3934/mbe.2005.2.169Toward an Integrated Physiological Theory of Microbial Growth: From Subcellular Variables to Population DynamicsAtul Narang0Sergei S. Pilyugin1Department of Chemical Engineering, University of Florida, Gainesville, FL 32611-6005Department of Mathematics, University of Florida, Gainesville, FL 32611-8105The dynamics of microbial growth is a problem of fundamental interest in microbiology,microbial ecology, and biotechnology. The pioneering work of JacobMonod, served as a starting point for developing a wealth of mathematicalmodels that address different aspects of microbial growth inbatch and continuous cultures. A number of phenomenological modelshave appeared in the literature over the last half century. Thesemodels can capture the steady-state behavior of pure and mixed cultures,but fall short of explaining most of the complex dynamic phenomena.This is because the onset of these complex dynamics is invariablydriven by one or more intracellular variables not accountedfor by phenomenological models.  &nbsp In this paper, we provide an overview of the experimental data, andintroduce a different class of mathematical models that can be usedto understand microbial growth dynamics. In addition to the standardvariables such as the cell and substrate concentrations, these modelsexplicitly include the dynamics of the physiological variables responsiblefor adaptation of the cells to environmental variations. We presentthese physiological models in the order of increasing complexity.Thus, we begin with models of single-species growth in environmentscontaining a single growth-limiting substrate, then advance to modelsof single-species growth in mixed-substrate media, and conclude withmodels of multiple-species growth in mixed-substrate environments.Throughout the paper, we discuss both the analytical and simulationtechniques to illustrate how these models capture and explain variousexperimental phenomena. Finally, we also present open questions andpossible directions for future research that would integrate thesemodels into a global physiological theory of microbial growth.https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.169chemostatmicrobial growthperipheral enzymesribosomesrna.mixed microbial culturestran-sient dynamicsphenomenological and physiological models
spellingShingle Atul Narang
Sergei S. Pilyugin
Toward an Integrated Physiological Theory of Microbial Growth: From Subcellular Variables to Population Dynamics
Mathematical Biosciences and Engineering
chemostat
microbial growth
peripheral enzymes
ribosomes
rna.
mixed microbial cultures
tran-sient dynamics
phenomenological and physiological models
title Toward an Integrated Physiological Theory of Microbial Growth: From Subcellular Variables to Population Dynamics
title_full Toward an Integrated Physiological Theory of Microbial Growth: From Subcellular Variables to Population Dynamics
title_fullStr Toward an Integrated Physiological Theory of Microbial Growth: From Subcellular Variables to Population Dynamics
title_full_unstemmed Toward an Integrated Physiological Theory of Microbial Growth: From Subcellular Variables to Population Dynamics
title_short Toward an Integrated Physiological Theory of Microbial Growth: From Subcellular Variables to Population Dynamics
title_sort toward an integrated physiological theory of microbial growth from subcellular variables to population dynamics
topic chemostat
microbial growth
peripheral enzymes
ribosomes
rna.
mixed microbial cultures
tran-sient dynamics
phenomenological and physiological models
url https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.169
work_keys_str_mv AT atulnarang towardanintegratedphysiologicaltheoryofmicrobialgrowthfromsubcellularvariablestopopulationdynamics
AT sergeispilyugin towardanintegratedphysiologicaltheoryofmicrobialgrowthfromsubcellularvariablestopopulationdynamics