A hyperbolic model of chemotaxis on a network: a numerical study

DOI10.1051/m2an/2013098zbMath1285.92004arXiv1206.2911OpenAlexW3102090198WikidataQ57776878 ScholiaQ57776878MaRDI QIDQ5414162

Magali Ribot, Roberto Natalini, Gabriella Bretti

Publication date: 2 May 2014

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.2911

zbMATH Keywords

asymptotic behaviorinitial-boundary value problemchemotaxisfinite difference schemestransmission conditionshyperbolic system on network

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Initial-boundary value problems for first-order hyperbolic systems (35L50) Computational methods for problems pertaining to biology (92-08) Cell movement (chemotaxis, etc.) (92C17)

Related Items (21)

Kinetic Modelling of Epidemic Dynamics: Social Contacts, Control with Uncertain Data, and Multiscale Spatial Dynamics ⋮ Kinetic layers and coupling conditions for nonlinear scalar equations on networks ⋮ Global Smooth Solutions for a Hyperbolic Chemotaxis Model on a Network ⋮ Kinetic Layers and Coupling Conditions for Macroscopic Equations on Networks I: The Wave Equation ⋮ High order numerical methods for networks of hyperbolic conservation laws coupled with ODEs and lumped parameter models ⋮ Nonlinear flux-limited models for chemotaxis on networks ⋮ Global existence and asymptotic behavior of solutions for a hyperbolic‐parabolic model of chemotaxis on network ⋮ Vanishing viscosity on a star-shaped graph under general transmission conditions at the node ⋮ Merging on-chip and in-silico modelling for improved understanding of complex biological systems ⋮ Chemotaxis on networks: Analysis and numerical approximation ⋮ Stationary solutions and asymptotic behaviour for a chemotaxis hyperbolic model on a network ⋮ A survey on well-balanced and asymptotic preserving schemes for hyperbolic models for chemotaxis ⋮ Kinetic and Moment Models for Cell Motion in Fiber Structures ⋮ Numerical High-Field Limits in Two-Stream Kinetic Models and 1D Aggregation Equations ⋮ Global solutions for a chemotaxis hyperbolic-parabolic system on networks with nonhomogeneous boundary conditions ⋮ Kinetic and related macroscopic models for chemotaxis on networks ⋮ Local and global solutions for a hyperbolic–elliptic model of chemotaxis on a network ⋮ A fully-discrete-state kinetic theory approach to traffic flow on road networks ⋮ A coupled 3D-1D multiscale Keller-Segel model of chemotaxis and its application to cancer invasion ⋮ Hyperbolic models for the spread of epidemics on networks: kinetic description and numerical methods ⋮ Hyperbolic compartmental models for epidemic spread on networks with uncertain data: Application to the emergence of COVID-19 in Italy

This page was built for publication: A hyperbolic model of chemotaxis on a network: a numerical study