Results 61 to 70 of about 168,933 (177)

Edge of Chaos Theory Unveils the First and Simplest Ever Reported Hodgkin–Huxley Neuristor

Advanced Electronic Materials, Volume 11, Issue 8, June 2025.
This manuscript presents the first and simplest ever‐reported electrical cell, which leverages one memristor on Edge of Chaos to reproduce the three‐bifurcation cascade, marking the entire life cycle from birth to extinction via All‐to‐None effect of an electrical spike, also referred to as Action Potential, across axon membranes under monotonic ...
Alon Ascoli, Ahmet Samil Demirkol, Ioannis Messaris, Vasilis Ntinas, Dimitris Prousalis, Stefan Slesazeck, Thomas Mikolajick, Fernando Corinto, Michele Bonnin, Marco Gilli, Pier Paolo Civalleri, Ronald Tetzlaff, Leon Chua   +12 more
wiley   +1 more source

Pattern Formation in a Semi-Ratio-Dependent Predator-Prey System with Diffusion

Discrete Dynamics in Nature and Society, 2013
We investigate spatiotemporal dynamics of a semi-ratio-dependent predator-prey system with reaction-diffusion and zero-flux boundary. We obtain the conditions for Hopf, Turing, and wave bifurcations of the system in a spatial domain by making use of the ...
Hunki Baek, Dong Ick Jung, Zhi-wen Wang
doaj   +1 more source

Hopf bifurcation in a delayed reaction diffusion predator-prey model with weak Allee effect on prey and fear effect on predator

AIMS Mathematics, 2023
In this work, a Leslie-Gower model with a weak Allee effect on the prey and a fear effect on the predator is proposed. By using qualitative analyses, the local stability of the coexisting equilibrium and the existence of Turing instable are discussed. By
Fatao Wang, Ruizhi Yang, Yining Xie, Jing Zhao   +3 more
doaj   +1 more source

Mesa-type patterns in the one-dimensional Brusselator and their stability

, 2005
The Brusselator is a generic reaction-diffusion model for a tri-molecular chemical reaction. We consider the case when the input and output reactions are slow.
Alikakos, Alikakos, Auchmuty, Bard, Berestycki, Chakravarti, Chen, De Wit, De Wit, De Wit, Doelman, Doelman, Erneux, Erneux, Goldstein, Iron, J. Wei, Muratov, Muratov, Muratov, Nicolis, Nishiura, Nishiura, Nishiura, Nishiura, Nishiura, Osipov, Peña, Prigogine, Ren, Reyna, Sun, T. Erneux, T. Kolokolnikov, Turing, Tyson, Ward, Yang, Yu   +38 more
core   +1 more source

Stochastic thermodynamics for biological functions

Quantitative Biology, Volume 13, Issue 1, March 2025.
Abstract Living systems operate within physical constraints imposed by nonequilibrium thermodynamics. This review explores recent advancements in applying these principles to understand the fundamental limits of biological functions. We introduce the framework of stochastic thermodynamics and its recent developments, followed by its application to ...
Yuansheng Cao, Shiling Liang
wiley   +1 more source

Nonequilibrium Membrane Dynamics Induced by Active Protein Interactions and Chemical Reactions: A Review

ChemSystemsChem, Volume 7, Issue 1, January 2025.
We discuss the spatiotemporal patterns and nonequilibrium fluctuations of membranes, particularly on theoretical analyses and simulations. Protein active forces enhance or suppress the membrane fluctuations. Active binding/unbinding of proteins can induce traveling waves and Turing patterns accompanied by membrane deformation.
Hiroshi Noguchi
wiley   +1 more source

Mean-field equations for stochastic firing-rate neural fields with delays: Derivation and noise-induced transitions

, 2017
In this manuscript we analyze the collective behavior of mean-field limits of large-scale, spatially extended stochastic neuronal networks with delays.
Abbott, Amari, Amit, Aradi, Bosking, Bressloff, Bressloff, Brunel, Buice, Buzsaki, Coombes, Coombes, Coombes, Corless, Destexhe, Diba, Ecker, El Boustani, Engelborghs, Ermentrout, Ermentrout, Ermentrout, Ermentrout, Fregnac, Hale, Hubel, Hutt, Izhikevich, Jonathan Touboul, Kandel, Laing, Lindner, Meinhardt, Nesse, Pham, Renart, Rolls, Roxin, Roxin, Series, Shayer, Spreng, Tabareau, Talay, Thorpe, Touboul, Venkov, Wilson, Wilson, Woosley   +49 more
core   +1 more source

Stability and bifurcation of a delayed diffusive predator-prey system with food-limited and nonlinear harvesting

Mathematical Biosciences and Engineering, 2020
Based on ecological significance, a delayed diffusive predator-prey system with food-limited and nonlinear harvesting subject to the Neumann boundary conditions is investigated in this paper.
Guangxun Sun, Binxiang Dai
doaj   +1 more source

Distributed Control for Mittag–Leffler Synchronization of Variable‐Order Fractional Gierer–Meinhardt Reaction‐Diffusion Systems

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This paper investigates Mittag–Leffler synchronization (MLSY) for variable‐order fractional Gierer–Meinhardt reaction‐diffusion systems (VFO‐GM‐RDs). We introduce, for the first time, a distributed control scheme specifically designed to achieve MLSY in these complex systems. A key contribution is the derivation of an explicit analytical expression for
Osama Ogilat, Iqbal H. Jebril, Iqbal M. Batiha, Nidal Anakira, Tala Sasa, Yongqiang Fu   +5 more
wiley   +1 more source

Spatiotemporal dynamics of a diffusive nutrient-phytoplankton model with delayed nutrient recycling

Nonlinear Analysis
In this paper, we investigate the spatiotemporal dynamics of a diffusive nutrient-phytoplankton model with delayed nutrient recycling. We first study the stability of positive equilibrium and Turing instability induced by diffusion.
Yun Yang, Yanfei Du
doaj   +1 more source