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Göteborgs universitets publikationer

Travelling wave analysis of a mathematical model of glioblastoma growth

Författare och institution:
Philip Gerlee (Institutionen för matematiska vetenskaper, matematik, Chalmers/GU); Sven Nelander (-)
Publicerad i:
Mathematical Biosciences, 276 s. 75-81
ISSN:
0025-5564
Publikationstyp:
Artikel, refereegranskad vetenskaplig
Publiceringsår:
2016
Språk:
engelska
Fulltextlänk:
Sammanfattning (abstract):
In this paper we analyse a previously proposed cell-based model of glioblastoma (brain tumour) growth, which is based on the assumption that the cancer cells switch phenotypes between a proliferative and motile state (Gerlee and Nelander, PLoS Comp. Bio., 8(6) 2012). The dynamics of this model can be described by a system of partial differential equations, which exhibits travelling wave solutions whose wave speed depends crucially on the rates of phenotypic switching. We show that under certain conditions on the model parameters, a closed form expression of the wave speed can be obtained, and using singular perturbation methods we also derive an approximate expression of the wave front shape. These new analytical results agree with simulations of the cell-based model, and importantly show that the inverse relationship between wave front steepness and speed observed for the Fisher equation no longer holds when phenotypic switching is considered.
Ämne (baseras på Högskoleverkets indelning av forskningsämnen):
NATURVETENSKAP ->
Matematik ->
Beräkningsmatematik ->
Tillämpad matematik
MEDICIN OCH HÄLSOVETENSKAP ->
Klinisk medicin ->
Cancer och onkologi
Nyckelord:
Cancer modelling, Cell-based model, Travelling waves, Glioblastoma
Ytterligare information:
Preprint available: http://arxiv.org/abs/1305.5036
Postens nummer:
235802
Posten skapad:
2016-05-02 20:33
Posten ändrad:
2016-07-05 14:40

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