Thermodynamically consistent, reduced models of gene regulatory networks

Synthetic biology aims to engineer novel functionalities into biological systems. While the approach has been predominantly applied to single cells, a richer set of biological phenomena can be engineered by applying synthetic biology to cell populations. To rationally design cell populations, we req...

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Main Authors: Michael Pan, Peter J. Gawthrop, Matthew Faria, Stuart T. Johnston
Format: Article
Language:English
Published: The Royal Society 2025-07-01
Series:Royal Society Open Science
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Online Access:https://royalsocietypublishing.org/doi/10.1098/rsos.241725
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author Michael Pan
Peter J. Gawthrop
Matthew Faria
Stuart T. Johnston
author_facet Michael Pan
Peter J. Gawthrop
Matthew Faria
Stuart T. Johnston
author_sort Michael Pan
collection DOAJ
description Synthetic biology aims to engineer novel functionalities into biological systems. While the approach has been predominantly applied to single cells, a richer set of biological phenomena can be engineered by applying synthetic biology to cell populations. To rationally design cell populations, we require mathematical models that link between intracellular biochemistry and intercellular interactions. In this study, we develop a kinetic model of gene expression that is suitable for incorporation into agent-based models of cell populations. To be scalable to large cell populations, models of gene expression should be both computationally efficient and compliant with the laws of physics. We satisfy the first requirement by applying a model reduction scheme to translation and the second requirement by formulating models using bond graphs, a modelling approach that ensures thermodynamic consistency. Our reduced model is significantly faster to simulate than the full model and reproduces important behaviours of the full model. We couple separate models of gene expression to build models of the toggle switch and repressilator. With these models, we explore the effects of resource availability and cell-to-cell heterogeneity on circuit behaviour. The modelling approaches developed here are a bridge towards engineering collective cell behaviours such as synchronization and division of labour.
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spelling doaj-art-800f472f2c4746a28696fc8e19ce99c92025-08-20T03:16:03ZengThe Royal SocietyRoyal Society Open Science2054-57032025-07-0112710.1098/rsos.241725Thermodynamically consistent, reduced models of gene regulatory networksMichael Pan0Peter J. Gawthrop1Matthew Faria2Stuart T. Johnston3School of Mathematics and Statistics, The University of Melbourne, Melbourne, Victoria, AustraliaDepartment of Biomedical Engineering, The University of Melbourne, Melbourne, Victoria, AustraliaDepartment of Biomedical Engineering, The University of Melbourne, Melbourne, Victoria, AustraliaSchool of Mathematics and Statistics, The University of Melbourne, Melbourne, Victoria, AustraliaSynthetic biology aims to engineer novel functionalities into biological systems. While the approach has been predominantly applied to single cells, a richer set of biological phenomena can be engineered by applying synthetic biology to cell populations. To rationally design cell populations, we require mathematical models that link between intracellular biochemistry and intercellular interactions. In this study, we develop a kinetic model of gene expression that is suitable for incorporation into agent-based models of cell populations. To be scalable to large cell populations, models of gene expression should be both computationally efficient and compliant with the laws of physics. We satisfy the first requirement by applying a model reduction scheme to translation and the second requirement by formulating models using bond graphs, a modelling approach that ensures thermodynamic consistency. Our reduced model is significantly faster to simulate than the full model and reproduces important behaviours of the full model. We couple separate models of gene expression to build models of the toggle switch and repressilator. With these models, we explore the effects of resource availability and cell-to-cell heterogeneity on circuit behaviour. The modelling approaches developed here are a bridge towards engineering collective cell behaviours such as synchronization and division of labour.https://royalsocietypublishing.org/doi/10.1098/rsos.241725bond graphgene regulatory networksthermodynamics
spellingShingle Michael Pan
Peter J. Gawthrop
Matthew Faria
Stuart T. Johnston
Thermodynamically consistent, reduced models of gene regulatory networks
Royal Society Open Science
bond graph
gene regulatory networks
thermodynamics
title Thermodynamically consistent, reduced models of gene regulatory networks
title_full Thermodynamically consistent, reduced models of gene regulatory networks
title_fullStr Thermodynamically consistent, reduced models of gene regulatory networks
title_full_unstemmed Thermodynamically consistent, reduced models of gene regulatory networks
title_short Thermodynamically consistent, reduced models of gene regulatory networks
title_sort thermodynamically consistent reduced models of gene regulatory networks
topic bond graph
gene regulatory networks
thermodynamics
url https://royalsocietypublishing.org/doi/10.1098/rsos.241725
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AT matthewfaria thermodynamicallyconsistentreducedmodelsofgeneregulatorynetworks
AT stuarttjohnston thermodynamicallyconsistentreducedmodelsofgeneregulatorynetworks