Multiscale modeling and simulation of traveling waves in biology: a review

Multiscale modeling and simulation of traveling waves in biology: a review

Traveling waves are a near-ubiquitous phenomenon in mathematical biology, and have been studied in the context of embryonic development, cancer growth, wound healing, and epidemiology. Fisher’s equation is the prototypical example of a problem that admits a traveling wave solution; it is a partial d...

Полное описание

Библиографические подробности
Главные авторы:	Martinson, W, Byrne, H, Maini, P
Формат:	Journal article
Опубликовано:	Sapienza Universita Di Roma 2019

Схожие документы

Multiscale modeling in biology
по: Schnell, S, и др.
Опубликовано: (2007)

Multiscale modeling in biology
по: Schnell, S, и др.
Опубликовано: (2007)

Multiscale modelling of solid tumour growth
по: Byrne, H, и др.
Опубликовано: (2008)

Modelling multiscale aspects of colorectal cancer
по: van Leeuwen, I, и др.
Опубликовано: (2008)

Modelling multiscale aspects of colorectal cancer
по: Van Leeuwen, I, и др.
Опубликовано: (2007)

Modelling multiscale aspects of colorectal cancer
по: van Leeuwen, I, и др.
Опубликовано: (2008)

Travelling waves in density-dependent dispersion models
по: Maini, P, и др.
Опубликовано: (1993)

Modelling the response of vascular tumours to chemotherapy: A multiscale approach
по: Byrne, H, и др.
Опубликовано: (2006)

Modelling the response of vascular tumours to chemotherapy: A multiscale approach
по: Byrne, H, и др.
Опубликовано: (2006)

Multiscale modelling of tumour growth and therapy: the influence of vessel normalisation on chemotherapy
по: Alarcon, T, и др.
Опубликовано: (2006)

Multiscale modelling of tumour growth and therapy: The influence of vessel normalisation on chemotherapy
по: Alarcón, T, и др.
Опубликовано: (2006)

Travelling-wave analysis of a model of tumour invasion with degenerate, cross-dependent diffusion
по: Colson, C, и др.
Опубликовано: (2021)

Traveling waves in a coarse-grained model of volume-filling cell invasion: Simulations and comparisons
по: Crossley, RM, и др.
Опубликовано: (2023)

Travelling waves in wound healing
по: Dale, P, и др.
Опубликовано: (1995)

A multiscale model of complex endothelial cell dynamics in early angiogenesis.
по: Stepanova, D, и др.
Опубликовано: (2021)

SINGULAR TRAVELLING WAVES IN A MODEL FOR TUMOUR ENCAPSULATION
по: King, JR, и др.
Опубликовано: (2009)

Travelling waves in a tissue interaction model for skin pattern formation
по: Cruywagen, G, и др.
Опубликовано: (1994)

Travelling waves in a tissue interaction model for skin pattern formation.
по: Cruywagen, G, и др.
Опубликовано: (1994)

Travelling waves in a wound healing assay
по: Maini, P, и др.
Опубликовано: (2004)

Multiscale simulations and mechanics of biological materials /
по: Li, Shaofan, editor, и др.
Опубликовано: (2013)

Travelling waves in a wound healing assay
по: Maini, P, и др.
Опубликовано: (2004)

Travelling waves in a wound healing assay
по: Maini, P, и др.
Опубликовано: (2004)

SOLID CONVERSION AND TRAVELING COMBUSTION WAVES
по: Byrne, H, и др.
Опубликовано: (1994)

A multiscale model of complex endothelial cell dynamics in early angiogenesis.
по: Daria Stepanova, и др.
Опубликовано: (2021-01-01)

Travelling combustion waves in porous media
по: Byrne, H, и др.
Опубликовано: (1997)

BIFURCATING SPATIAL PATTERNS ARISING FROM TRAVELING WAVES IN A TISSUE INTERACTION-MODEL
по: Cruywagen, G, и др.
Опубликовано: (1994)

Bifurcating spatial patterns arising from travelling waves in a tissue interaction model
по: Cruywagen, G, и др.
Опубликовано: (1994)

Travelling waves in a nonlinear degenerate diffusion model for bacterial pattern formation
по: Satnoianu, R, и др.
Опубликовано: (2001)

Travelling waves in a nonlinear degenerate diffusion model for bacterial pattern formation
по: Satnoianu, R, и др.
Опубликовано: (2001)

TRAVELING-WAVE PHENOMENA IN SOME DEGENERATE REACTION-DIFFUSION EQUATIONS
по: Sanchezgarduno, F, и др.
Опубликовано: (1995)

Travelling waves in a nonlinear degenerate diffusion model for bacterial pattern formation
по: Satnoianu, R, и др.
Опубликовано: (2001)

Editorial: Special section on multiscale cancer modeling
по: Maini, P, и др.
Опубликовано: (2017)

Multiscale modeling of developmental systems. Introduction.
по: Schnell, S, и др.
Опубликовано: (2008)

Travelling wave phenomena in some degenerate reaction-diffusion equations
по: Sánchez-Garduño, F, и др.
Опубликовано: (1994)

Structure, motion, and multiscale search of traveling networks
по: Nate J. Cira, и др.
Опубликовано: (2025-02-01)

Evaluating snail-trail frameworks for leader-follower behavior with agent-based modeling
по: Martinson, WD, и др.
Опубликовано: (2020)

Editorial: Combining Simulations, Theory, and Experiments into Multiscale Models of Biological Events
по: Fabio Trovato, и др.
Опубликовано: (2021-11-01)

Comparative analysis of continuum angiogenesis models
по: Martinson, WD, и др.
Опубликовано: (2021)

Travelling wave phenomena in non-linear diffusion degenerate Nagumo equations
по: Sánchez-Garduño, F, и др.
Опубликовано: (1997)

Travelling wave phenomena in non-linear diffusion degenerate Nagumo equations
по: SanchezGarduno, F, и др.
Опубликовано: (1997)