Literature DB >> 19376138

Slow and fast invasion waves in a model of acid-mediated tumour growth.

Antonio Fasano1, Miguel A Herrero, Marianito R Rodrigo.   

Abstract

This work is concerned with a reaction-diffusion system that has been proposed as a model to describe acid-mediated cancer invasion. More precisely, we consider the properties of travelling waves that can be supported by such a system, and show that a rich variety of wave propagation dynamics, both fast and slow, is compatible with the model. In particular, asymptotic formulae for admissible wave profiles and bounds on their wave speeds are provided.

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Year:  2009        PMID: 19376138     DOI: 10.1016/j.mbs.2009.04.001

Source DB:  PubMed          Journal:  Math Biosci        ISSN: 0025-5564            Impact factor:   2.144


  5 in total

1.  Tumour-stromal interactions in acid-mediated invasion: a mathematical model.

Authors:  Natasha K Martin; Eamonn A Gaffney; Robert A Gatenby; Philip K Maini
Journal:  J Theor Biol       Date:  2010-09-08       Impact factor: 2.691

2.  A general reaction-diffusion model of acidity in cancer invasion.

Authors:  Jessica B McGillen; Eamonn A Gaffney; Natasha K Martin; Philip K Maini
Journal:  J Math Biol       Date:  2013-03-28       Impact factor: 2.259

3.  Travelling-wave analysis of a model of tumour invasion with degenerate, cross-dependent diffusion.

Authors:  Chloé Colson; Faustino Sánchez-Garduño; Helen M Byrne; Philip K Maini; Tommaso Lorenzi
Journal:  Proc Math Phys Eng Sci       Date:  2021-12-15       Impact factor: 2.704

4.  An Emerging Allee Effect Is Critical for Tumor Initiation and Persistence.

Authors:  Katrin Böttger; Haralambos Hatzikirou; Anja Voss-Böhme; Elisabetta Ada Cavalcanti-Adam; Miguel A Herrero; Andreas Deutsch
Journal:  PLoS Comput Biol       Date:  2015-09-03       Impact factor: 4.475

5.  Mix and Match: Phenotypic Coexistence as a Key Facilitator of Cancer Invasion.

Authors:  Maximilian A R Strobl; Andrew L Krause; Mehdi Damaghi; Robert Gillies; Alexander R A Anderson; Philip K Maini
Journal:  Bull Math Biol       Date:  2020-01-17       Impact factor: 1.758

  5 in total

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