A continuum mathematical model of substrate-mediated tissue growth
From MaRDI portal
Publication:2113608
DOI10.1007/s11538-022-01005-7zbMath1486.92081arXiv2111.07559OpenAlexW3212647944WikidataQ112320984 ScholiaQ112320984MaRDI QIDQ2113608
Maud El-Hachem, Scott W. McCue, Matthew J. Simpson
Publication date: 14 March 2022
Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.07559
Medical applications (general) (92C50) Developmental biology, pattern formation (92C15) Traveling wave solutions (35C07)
Related Items (max. 100)
Uses Software
Cites Work
- Unnamed Item
- Reproducibility of scratch assays is affected by the initial degree of confluence: experiments, modelling and model selection
- Asymptotic analysis. Reprint
- Explicit solutions of Fisher's equation for a special wave speed
- An approximation to a sharp type solution of a density-dependent reaction-diffusion equation
- An asymptotic solution for traveling waves of a nonlinear-diffusion Fisher's equation
- Nonsharp travelling wave fronts in the Fisher equation with degenerate nonlinear diffusion
- Mathematical biology. Vol. 1: An introduction.
- Merging traveling waves for the porous-Fisher's equation
- Model-based data analysis of tissue growth in thin 3D printed scaffolds
- Propagation fronts in a simplified model of tumor growth with degenerate cross-dependent self-diffusivity
- Travelling wave analysis of cellular invasion into surrounding tissues
- Modelling the movement of interacting cell populations
- A non-local cross-diffusion model of population dynamics II: exact, approximate, and numerical traveling waves in single- and multi-species populations
- Hole-closing model reveals exponents for nonlinear degenerate diffusivity functions in cell biology
- Mix and match: phenotypic coexistence as a key facilitator of cancer invasion
- Logistic proliferation of cells in scratch assays is delayed
- A model for the spread of an invasive weed, \textit{Tradescantia fluminensis}
- Using experimental data and information criteria to guide model selection for reaction-diffusion problems in mathematical biology
- Cell proliferation and oxygen diffusion in a vascularising scaffold
- A Bayesian sequential learning framework to parameterise continuum models of melanoma invasion into human skin
- Invading and receding sharp-fronted travelling waves
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- New travelling wave solutions of the Porous–Fisher model with a moving boundary
- On a Nonlinear Diffusion Equation Describing Population Growth
This page was built for publication: A continuum mathematical model of substrate-mediated tissue growth
