Thermodynamically consistent, reduced models of gene regulatory networks
Michael Pan1, Peter J Gawthrop2, Matthew Faria2
1School of Mathematics and Statistics, The University of Melbourne, Melbourne, Victoria, Australia.
Royal Society Open Science
|August 1, 2025
Summary
Synthetic biology can engineer cell populations using new mathematical models. This research develops efficient, physics-compliant gene expression models for scalable agent-based simulations of cell collectives.
Area of Science:
- Systems Biology
- Synthetic Biology
- Computational Biology
Background:
- Synthetic biology traditionally focuses on single-cell engineering.
- Engineering cell populations requires models linking intracellular and intercellular processes.
- Existing models may lack computational efficiency or thermodynamic consistency.
Purpose of the Study:
- Develop a computationally efficient and thermodynamically consistent kinetic model of gene expression.
- Enable the rational design of synthetic gene circuits in cell populations.
- Facilitate the engineering of collective cell behaviors.
Main Methods:
- Applied a model reduction scheme to translation for computational efficiency.
- Utilized bond graphs to ensure thermodynamic consistency in the models.
- Coupled gene expression models to create toggle switch and repressilator circuits.
- Incorporated resource availability and cell-to-cell heterogeneity.
Main Results:
- The reduced gene expression model is significantly faster than the full model.
- The reduced model accurately reproduces key behaviors of the full model.
- Simulations explored the impact of resource limitations and heterogeneity on circuit function.
Conclusions:
- The developed modeling approach bridges intracellular biochemistry and intercellular interactions for cell population engineering.
- This work supports the scalable design of synthetic gene circuits in large cell populations.
- The methods pave the way for engineering collective behaviors like synchronization and division of labor.
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