ArticleJournal of mathematical biology2019
Exponential equilibration of genetic circuits using entropy methods.
Article in Journal of mathematical biology, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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2 citing papers in PubMed.
- A Kinetic Finite Volume Discretization of the Multidimensional PIDE Model for Gene Regulatory Networks.Bulletin of mathematical biology · 2024Article
- Transient hysteresis and inherent stochasticity in gene regulatory networks.Nature communications · 2019Article
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3 authors.
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Abstract
We analyse a continuum model for genetic circuits based on a partial integro-differential equation initially proposed in Friedman et al. (Phys Rev Lett 97(16):168302, 2006) as an approximation of a chemical master equation. We use entropy methods to show exponentially fast convergence to equilibrium for this model with explicit bounds. The asymptotic equilibration for the multidimensional case of more than one gene is also obtained under suitable assumptions on the equilibrium stationary states. The asymptotic equilibration property for networks involving one and more than one gene is investigated via numerical simulations.
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