Zobrazeno 1 - 4
of 4
pro vyhledávání: '"Hughes, Jack M."'
Travelling waves and wave pinning (polarity): Switching between random and directional cell motility
We derive a simple model of actin waves consisting of three partial differential equations (PDEs) for active and inactive GTPase promoting growth of filamentous actin (F-actin, $F$). The F-actin feeds back to inactivate the GTPase at rate $sF$, where
Externí odkaz:
http://arxiv.org/abs/2410.12213
We analyze travelling wave (TW) solutions for nonlinear systems consisting of an ODE coupled to a degenerate PDE with a diffusion coefficient that vanishes as the solution tends to zero and blows up as it approaches its maximum value. Stable TW solut
Externí odkaz:
http://arxiv.org/abs/2202.07748
Publikováno v:
Mathematical Biosciences and Engineering, 19, 6582-6619
Mathematical Biosciences and Engineering, 19, 7, pp. 6582-6619
Mathematical Biosciences and Engineering, 19, 7, pp. 6582-6619
We propose a new mathematical framework for the addition of stochastic attachment to biofilm models, via the use of random ordinary differential equations. We focus our approach on a spatially explicit model of cellulolytic biofilm growth and formati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ec23f91c390db339dc2cc505e3222c6b
https://pubmed.ncbi.nlm.nih.gov/35730273
https://pubmed.ncbi.nlm.nih.gov/35730273
Akademický článek
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