COLLECTIVE BEHAVIOR OF BIOPHYSICAL SYSTEMS WITH THERMODYNAMIC FEEDBACK LOOPS: A CASE STUDY FOR A NONLINEAR MARKOV MODEL

Continuous-time Markov processes on general state spaces (60J25) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Irreversible thermodynamics, including Onsager-Machlup theory (82C35) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Fokker-Planck equations (35Q84)

Cites Work

Unnamed Item
Unnamed Item
Parametric solution method for self-consistency equations and order parameter equations derived from nonlinear Fokker-Planck equations
Phase resetting in medicine and biology. Stochastic modelling and data analysis.
A model for neuronal oscillations in the visual cortex. II: Phase description of the feature dependent synchronization
\(q\)-Gaussians in the porous-medium equation: stability and time evolution
Integral kinetic method for one dimension: The spherical case
Exact time-dependent solutions of the Rényi Fokker-Planck equation and the Fokker-Planck equations related to the entropies proposed by Sharma and Mittal
Generalized Fokker-Planck equations derived from generalized linear nonequilibrium thermodynamics
Generalized multivariate Fokker-Planck equations derived from kinetic transport theory and linear nonequilibrium thermodynamics
Dynamic mean field models: H-theorem for stochastic processes and basins of attraction of stationary processes
Possible generalization of Boltzmann-Gibbs statistics.
Exact solutions of nonlinear Fokker-Planck equations of the Desai-Zwanzig type
EXACT SOLUTIONS AND MONTE CARLO SIMULATIONS OF SELF-CONSISTENT LANGEVIN EQUATIONS: A CASE STUDY FOR THE COLLECTIVE DYNAMICS OF STOCK PRICES
Markov chains of nonlinear Markov processes and an application to a winner-takes-all model for social conformity
On the linear discrepancy model and risky shifts in group behavior: a nonlinear Fokker–Planck perspective
Non-equilibrium thermodynamics and anomalous diffusion
BLOWOUT BIFURCATION AND ON–OFF INTERMITTENCY IN PULSE NEURAL NETWORKS WITH MULTIPLEC MODULES
Noise induced complexity: From subthreshold oscillations to spiking in coupled excitable systems
Non-linear kinetics underlying generalized statistics
Nonextensive statistical mechanics and its applications. Papers from the IMS winter school on statistical mechanics: nonextensive generalization of Boltzmann-Gibbs statistical mechanics and its applications, Okazaki, Japan, February 15--18, 1999

This page was built for publication: COLLECTIVE BEHAVIOR OF BIOPHYSICAL SYSTEMS WITH THERMODYNAMIC FEEDBACK LOOPS: A CASE STUDY FOR A NONLINEAR MARKOV MODEL — THE TAKATSUJI SYSTEM