A bulk-surface mechanobiochemical modelling approach for single cell migration in two-space dimensions
type: Item
instance of: scholarly article
title: A bulk-surface mechanobiochemical modelling approach for single cell migration in two-space dimensions
author: David Hernandez-Aristizabal
author: Diego Alexander Garzón-Alvarado
author: Carlos A. Duque-Daza
author: Anotida Madzvamuse
published in: Journal of Theoretical Biology
publication date: 2025-01-24T00:00:00Z
Mathematics Subject Classification ID: 92C17
Mathematics Subject Classification ID: 92C10
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 35K57
zbMATH DE Number: 7974670
zbMATH Keywords: bulk-surface partial differential equations
zbMATH Keywords: bulk-surface reaction-diffusion
zbMATH Keywords: bulk-surface finite element method
zbMATH Keywords: ALE-moving mesh methods
zbMATH Keywords: cell migration
zbMATH Keywords: cell motility
zbMATH Keywords: mechanobiochemical modelling
zbMATH Keywords: moving-mesh method
zbMATH Keywords: bulk-surface moving-mesh finite element method (BS-MFEM)
MaRDI profile type: Publication
cites work: Q3999323
cites work: The surface finite element method for pattern formation on evolving biological surfaces
cites work: Parametric finite element approximations of curvature-driven interface evolutions
cites work: Mathematical investigation into the role of macrophage heterogeneity on the temporal and spatio-temporal dynamics of non-small cell lung cancers
cites work: Basic principles of mixed virtual element methods
cites work: Bayesian parameter identification for Turing systems on stationary and evolving domains
cites work: A coupled bulk-surface model for cell polarisation
cites work: Numerical investigations of the bulk-surface wave pinning model
cites work: Q4111020
cites work: Finite elements on evolving surfaces
cites work: Finite element methods for surface PDEs
cites work: Finite element analysis for a coupled bulk-surface partial differential equation
cites work: Coupled Bulk-Surface Free Boundary Problems Arising from a Mathematical Model of Receptor-Ligand Dynamics
cites work: An ALE ESFEM for solving PDEs on evolving surfaces
cites work: A mathematical model of cell movement and clustering due to chemotaxis
cites work: MATLAB codes for finite element analysis. Solids and structures. With CD-ROM
cites work: Bulk-surface virtual element method for systems of PDEs in two-space dimensions
cites work: Numerical preservation of velocity induced invariant regions for reaction-diffusion systems on evolving surfaces
cites work: Initiation of cytoskeletal asymmetry for cell polarization and movement
cites work: Mathematical modelling and numerical simulations of actin dynamics in the eukaryotic cell
cites work: A simple mathematical model of cell clustering by chemotaxis
cites work: Analysis of stable two-dimensional patterns in contractile cytogel
cites work: A Conservative Finite Element ALE Scheme for Mass-Conservative Reaction-Diffusion Equations on Evolving Two-Dimensional Domains
cites work: Analysis and Simulations of Coupled Bulk-surface Reaction-Diffusion Systems on Exponentially Evolving Volumes
cites work: The moving grid finite element method applied to cell movement and deformation
cites work: A moving grid finite element method for the simulation of pattern generation by Turing models on growing domains
cites work: Q3137693
cites work: Phase-field model of cellular migration: three-dimensional simulations in fibrous networks
cites work: A moving grid finite element method applied to a mechanobiochemical model for 3D cell migration
cites work: Mathematical biology. Vol. 1: An introduction.
cites work: Mathematical biology. Vol. 2: Spatial models and biomedical applications.
cites work: Q3103503
cites work: Diffusion on a curved surface coupled to diffusion in the volume: application to cell biology
cites work: Turing-type instabilities in bulk-surface reaction-diffusion systems
cites work: Symmetry breaking in a bulk-surface reaction-diffusion model for signalling networks
cites work: A mathematical model for the dynamics of large membrane deformations of isolated fibroblasts
cites work: The chemical basis of morphogenesis
DOI: 10.1016/J.JTBI.2024.111966
description: scientific article; zbMATH DE number 7974670