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pro vyhledávání: '"Crossley, Rebecca M."'
We study the existence of weak solutions for a model of cell invasion into the extracellular matrix (ECM), which consists of a non-linear partial differential equation for the density of cells, coupled with an ordinary differential equation (ODE) des
Externí odkaz:
http://arxiv.org/abs/2407.11228
We consider a minimal go-or-grow model of cell invasion, whereby cells can either proliferate, following logistic growth, or move, via linear diffusion, and phenotypic switching between these two states is density-dependent. Formal analysis in the fa
Externí odkaz:
http://arxiv.org/abs/2404.11251
A fundamental feature of collective cell migration is phenotypic heterogeneity which, for example, influences tumour progression and relapse. While current mathematical models often consider discrete phenotypic structuring of the cell population, in-
Externí odkaz:
http://arxiv.org/abs/2401.07279
Autor:
Crossley, Rebecca M., Johnson, Samuel, Tsingos, Erika, Bell, Zoe, Berardi, Massimiliano, Botticelli, Margherita, Braat, Quirine J. S., Metzcar, John, Ruscone, Marco, Yin, Yuan, Shuttleworth, Robyn
The extracellular matrix (ECM) is a highly complex structure through which biochemical and mechanical signals are transmitted. In processes of cell migration, the ECM also acts as a scaffold, providing structural support to cells as well as points of
Externí odkaz:
http://arxiv.org/abs/2312.12365
Many reaction-diffusion models produce travelling wave solutions that can be interpreted as waves of invasion in biological scenarios such as wound healing or tumour growth. These partial differential equation models have since been adapted to descri
Externí odkaz:
http://arxiv.org/abs/2302.11345
Publikováno v:
In Mathematical Biosciences August 2024 374
Akademický článek
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