Results 11 to 20 of about 893,395 (191)
Computing all persistent subspaces of a reaction-diffusion system [PDF]
Scientific Reports, 2023 An algorithm is presented for computing a reaction-diffusion partial differential equation (PDE) system for all possible subspaces that can hold a persistent solution of the equation. For this, all possible sub-networks of the underlying reaction network
Stephan Peter +3 more
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Signal Transmission of Biological Reaction-Diffusion System by Using Synchronization [PDF]
Frontiers in Computational Neuroscience, 2017 Molecular signal transmission in cell is very crucial for information exchange. How to understand its transmission mechanism has attracted many researchers.
Lingli Zhou, Lingli Zhou, Jianwei Shen
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Pattern dynamics of the reaction-diffusion immune system. [PDF]
PLoS ONE, 2018 In this paper, we will investigate the effect of diffusion, which is ubiquitous in nature, on the immune system using a reaction-diffusion model in order to understand the dynamical behavior of complex patterns and control the dynamics of different ...
Qianqian Zheng +2 more
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Stability analysis for Selkov-Schnakenberg reaction-diffusion system
Open Mathematics, 2021 This study provides semi-analytical solutions to the Selkov-Schnakenberg reaction-diffusion system. The Galerkin method is applied to approximate the system of partial differential equations by a system of ordinary differential equations.
Al Noufaey K. S.
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Persistence for a Two-Stage Reaction-Diffusion System
Mathematics, 2020 In this article, we study how the rates of diffusion in a reaction-diffusion model for a stage structured population in a heterogeneous environment affect the model’s predictions of persistence or extinction for the population.
Robert Stephen Cantrell +2 more
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The reaction-diffusion basis of animated patterns in eukaryotic flagella
Nature Communications, 2023 The flagellar beat of bull spermatozoa and C. Reinhardtii are modelled by a minimal, geometrically exact, reaction-diffusion system. Spatio-temporal animated patterns describe flagellar waves, analogous to chemical-patterns from classical reaction ...
James F. Cass +1 more
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Nonlinear Analysis, 2021 We introduce a reaction–diffusion system with modified nonlinear functional responses. We first discuss the large-time behavior of positive solutions for the system.
Yunfeng Jia
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Fractal-fractional advection–diffusion–reaction equations by Ritz approximation approach
Open Physics, 2023 In this work, we propose the Ritz approximation approach with a satisfier function to solve fractal-fractional advection–diffusion–reaction equations. The approach reduces fractal-fractional advection–diffusion–reaction equations to a system of algebraic
Md Nasrudin Farah Suraya +2 more
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Convolution Representation of Traveling Pulses in Reaction-Diffusion Systems
Advances in Mathematical Physics, 2023 Convolution representation manifests itself as an important tool in the reduction of partial differential equations. In this study, we consider the convolution representation of traveling pulses in reaction-diffusion systems.
Satoshi Kawaguchi
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Stability analysis and simulations of coupled bulk-surface reaction–diffusion systems [PDF]
, 2015 In this article, we formulate new models for coupled systems of bulk-surface reaction–diffusion equations on stationary volumes. The bulk reaction–diffusion equations are coupled to the surface reaction–diffusion equations through linear Robin-type ...
Chung, Andy H W +2 more
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