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...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awduron:	Martinson, W, Byrne, H, Maini, P
Fformat:	Journal article
Cyhoeddwyd:	Sapienza Universita Di Roma 2019

Eitemau Tebyg

Multiscale modeling in biology
gan: Schnell, S, et al.
Cyhoeddwyd: (2007)

Multiscale modeling in biology
gan: Schnell, S, et al.
Cyhoeddwyd: (2007)

Multiscale modelling of solid tumour growth
gan: Byrne, H, et al.
Cyhoeddwyd: (2008)

Modelling multiscale aspects of colorectal cancer
gan: van Leeuwen, I, et al.
Cyhoeddwyd: (2008)

Modelling multiscale aspects of colorectal cancer
gan: Van Leeuwen, I, et al.
Cyhoeddwyd: (2007)

Modelling multiscale aspects of colorectal cancer
gan: van Leeuwen, I, et al.
Cyhoeddwyd: (2008)

Travelling waves in density-dependent dispersion models
gan: Maini, P, et al.
Cyhoeddwyd: (1993)

Modelling the response of vascular tumours to chemotherapy: A multiscale approach
gan: Byrne, H, et al.
Cyhoeddwyd: (2006)

Modelling the response of vascular tumours to chemotherapy: A multiscale approach
gan: Byrne, H, et al.
Cyhoeddwyd: (2006)

Multiscale modelling of tumour growth and therapy: the influence of vessel normalisation on chemotherapy
gan: Alarcon, T, et al.
Cyhoeddwyd: (2006)

Multiscale modelling of tumour growth and therapy: The influence of vessel normalisation on chemotherapy
gan: Alarcón, T, et al.
Cyhoeddwyd: (2006)

Travelling-wave analysis of a model of tumour invasion with degenerate, cross-dependent diffusion
gan: Colson, C, et al.
Cyhoeddwyd: (2021)

Traveling waves in a coarse-grained model of volume-filling cell invasion: Simulations and comparisons
gan: Crossley, RM, et al.
Cyhoeddwyd: (2023)

Travelling waves in wound healing
gan: Dale, P, et al.
Cyhoeddwyd: (1995)

A multiscale model of complex endothelial cell dynamics in early angiogenesis.
gan: Stepanova, D, et al.
Cyhoeddwyd: (2021)

SINGULAR TRAVELLING WAVES IN A MODEL FOR TUMOUR ENCAPSULATION
gan: King, JR, et al.
Cyhoeddwyd: (2009)

Travelling waves in a tissue interaction model for skin pattern formation
gan: Cruywagen, G, et al.
Cyhoeddwyd: (1994)

Travelling waves in a tissue interaction model for skin pattern formation.
gan: Cruywagen, G, et al.
Cyhoeddwyd: (1994)

Travelling waves in a wound healing assay
gan: Maini, P, et al.
Cyhoeddwyd: (2004)

Multiscale simulations and mechanics of biological materials /
gan: Li, Shaofan, editor, et al.
Cyhoeddwyd: (2013)

Travelling waves in a wound healing assay
gan: Maini, P, et al.
Cyhoeddwyd: (2004)

Travelling waves in a wound healing assay
gan: Maini, P, et al.
Cyhoeddwyd: (2004)

SOLID CONVERSION AND TRAVELING COMBUSTION WAVES
gan: Byrne, H, et al.
Cyhoeddwyd: (1994)

A multiscale model of complex endothelial cell dynamics in early angiogenesis.
gan: Daria Stepanova, et al.
Cyhoeddwyd: (2021-01-01)

Travelling combustion waves in porous media
gan: Byrne, H, et al.
Cyhoeddwyd: (1997)

BIFURCATING SPATIAL PATTERNS ARISING FROM TRAVELING WAVES IN A TISSUE INTERACTION-MODEL
gan: Cruywagen, G, et al.
Cyhoeddwyd: (1994)

Bifurcating spatial patterns arising from travelling waves in a tissue interaction model
gan: Cruywagen, G, et al.
Cyhoeddwyd: (1994)

Travelling waves in a nonlinear degenerate diffusion model for bacterial pattern formation
gan: Satnoianu, R, et al.
Cyhoeddwyd: (2001)

Travelling waves in a nonlinear degenerate diffusion model for bacterial pattern formation
gan: Satnoianu, R, et al.
Cyhoeddwyd: (2001)

TRAVELING-WAVE PHENOMENA IN SOME DEGENERATE REACTION-DIFFUSION EQUATIONS
gan: Sanchezgarduno, F, et al.
Cyhoeddwyd: (1995)

Travelling waves in a nonlinear degenerate diffusion model for bacterial pattern formation
gan: Satnoianu, R, et al.
Cyhoeddwyd: (2001)

Editorial: Special section on multiscale cancer modeling
gan: Maini, P, et al.
Cyhoeddwyd: (2017)

Multiscale modeling of developmental systems. Introduction.
gan: Schnell, S, et al.
Cyhoeddwyd: (2008)

Travelling wave phenomena in some degenerate reaction-diffusion equations
gan: Sánchez-Garduño, F, et al.
Cyhoeddwyd: (1994)

Structure, motion, and multiscale search of traveling networks
gan: Nate J. Cira, et al.
Cyhoeddwyd: (2025-02-01)

Evaluating snail-trail frameworks for leader-follower behavior with agent-based modeling
gan: Martinson, WD, et al.
Cyhoeddwyd: (2020)

Editorial: Combining Simulations, Theory, and Experiments into Multiscale Models of Biological Events
gan: Fabio Trovato, et al.
Cyhoeddwyd: (2021-11-01)

Comparative analysis of continuum angiogenesis models
gan: Martinson, WD, et al.
Cyhoeddwyd: (2021)

Travelling wave phenomena in non-linear diffusion degenerate Nagumo equations
gan: Sánchez-Garduño, F, et al.
Cyhoeddwyd: (1997)

Travelling wave phenomena in non-linear diffusion degenerate Nagumo equations
gan: SanchezGarduno, F, et al.
Cyhoeddwyd: (1997)