A methodological basis for description and analysis of systems with complex switch-like interactions
From MaRDI portal
Publication:1385291
DOI10.1007/s002850050103zbMath0897.92001OpenAlexW2003845577WikidataQ52243862 ScholiaQ52243862MaRDI QIDQ1385291
Thomas Mestl, Erik Plahte, Stig W. Omholt
Publication date: 19 October 1998
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s002850050103
nonlinearcomplex systemsswitching functionssigmoid functionssigmoid interactionssingular stationary pointsswitch-like interactions
Qualitative theory for ordinary differential equations (34C99) General biology and biomathematics (92B05) Stability theory for ordinary differential equations (34D99)
Related Items
Importance of metabolic coupling for the dynamics of gene expression following a diauxic shift in \textit{Escherichia coli}, Geometric properties of a class of piecewise affine biological network models, Piecewise-linear models of genetic regulatory networks: equilibria and their stability, Time-delayed models of gene regulatory networks, Convergence properties of posttranslationally modified protein-protein switching networks with fast decay rates, AN ATLAS OF ROBUST, STABLE, HIGH-DIMENSIONAL LIMIT CYCLES, Classification of Hidden Dynamics in Discontinuous Dynamical Systems, Explicit construction of chaotic attractors in Glass networks, Filippov solutions in the analysis of piecewise linear models describing gene regulatory networks, Comparison of stationary and oscillatory dynamics described by differential equations and Boolean maps in transcriptional regulatory circuits, Dynamics of actively regulated gene networks, State transition graph and stability of singular equilibria for piecewise linear biological models, Numerical simulation of piecewise-linear models of gene regulatory networks using complementarity systems, Dynamic regimes of random fuzzy logic networks, Invalidation of the structure of genetic network dynamics: a geometric approach, Piecewise synergetic systems and applications in biochemical systems theory, Singular perturbation analysis and gene regulatory networks with delay, Stability of stationary solutions of piecewise affine differential equations describing gene regulatory networks, Functional differential inclusions generated by functional differential equations with discontinuities, Methods for and results from the study of design principles in molecular systems, Effective parameters determining the information flow in hierarchical biological systems, Analysis of continuous-time switching networks, Analysis and generic properties of gene regulatory networks with graded response functions, An Algorithm for Qualitative Simulation of Gene Regulatory Networks with Steep Sigmoidal Response Functions, Introduction to Focus Issue: Quantitative Approaches to Genetic Networks, Sensitive dependence on initial conditions in gene networks, On convergence for hybrid models of gene regulatory networks under polytopic uncertainties: a Lyapunov approach, An analytical study of the number of steady states in gene regulatory networks