Spatiotemporal dynamics of a gene expression model with positive feedback loop

DOI10.1016/j.apm.2023.05.015zbMath1525.92019OpenAlexW4375946168MaRDI QIDQ6072767

Xiaofei Fan, Zhenkun Wang, Xiunan Wang

Publication date: 13 October 2023

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2023.05.015

zbMATH Keywords

bistabilitygene expressionpositive feedback loopattraction regionnonconstant solution

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Biochemistry, molecular biology (92C40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spatiotemporal patterns of a reaction-diffusion substrate-inhibition Seelig model
• Pattern formation in competition-diffusion systems in nonconvex domains
• Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
• The spatial homogeneity of stable equilibria of some reaction-diffusion systems on convex domains
• Stochasticity in single gene expression with both intrinsic noise and fluctuation in kinetic parameters
• The combined effects of Feller diffusion and transcriptional/translational bursting in simple gene networks
• Non-constant positive steady states of the Sel'kov model.
• Saddle-point behavior for monotone semiflows and reaction-diffusion models
• The inverse correlation between robustness and sensitivity to autoregulation in two-component systems
• Transcriptional stochasticity in gene expression
• Application of the Goodwin model to autoregulatory feedback for stochastic gene expression
• On a cannibalistic predator-prey model with prey defense and diffusion
• Spatial pattern formation in reaction-diffusion models: a computational approach
• Stability analysis for Schnakenberg reaction-diffusion model with gene expression time delay
• A delay model for noise-induced bi-directional switching
• Large Time Behavior of Solutions of Systems of Nonlinear Reaction-Diffusion Equations
• Non-constant positive steady states of a predator-prey system with non-monotonic functional response and diffusion
• The chemical basis of morphogenesis
• Stochastic Gene Expression in Cells: A Point Process Approach
• Systems Biology
• Turing patterns in the Lengyel-Epstein system for the CIMA reaction
• Dynamical systems in population biology