Exponential equilibration of genetic circuits using entropy methods Cañizo Rincón, José Alfredo Carrillo, José A. Pájaro, Manuel We analyse a continuum model for genetic circuits based on a partial integrodifferential equation initially proposed in Friedman et al. (Phys RevLett 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. 2020-01-23T08:15:08Z 2020-01-23T08:15:08Z 2018-08-17 info:eu-repo/semantics/article Cañizo, J. A., Carrillo, J. A., & Pájaro, M. (2019). Exponential equilibration of genetic circuits using entropy methods. Journal of mathematical biology, 78(1-2), 373-411. http://hdl.handle.net/10481/59039 10.1007/s00285-018-1277-z eng http://creativecommons.org/licenses/by/3.0/es/ info:eu-repo/semantics/openAccess Atribución 3.0 España Springer Nature