Search: onr:"swepub:oai:gup.ub.gu.se/235802" > Travelling wave ana...
Fältnamn | Indikatorer | Metadata |
---|---|---|
000 | 03454naa a2200457 4500 | |
001 | oai:gup.ub.gu.se/235802 | |
003 | SwePub | |
008 | 240528s2016 | |||||||||||000 ||eng| | |
009 | oai:research.chalmers.se:a96615fa-f84c-4576-957d-38ed1036f2f3 | |
009 | oai:DiVA.org:uu-302238 | |
024 | 7 | a https://gup.ub.gu.se/publication/2358022 URI |
024 | 7 | a https://doi.org/10.1016/j.mbs.2016.03.0042 DOI |
024 | 7 | a https://research.chalmers.se/publication/2358022 URI |
024 | 7 | a https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-3022382 URI |
040 | a (SwePub)gud (SwePub)cthd (SwePub)uu | |
041 | a eng | |
042 | 9 SwePub | |
072 | 7 | a ref2 swepub-contenttype |
072 | 7 | a art2 swepub-publicationtype |
100 | 1 | a Gerlee, Philip,d 1980u Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology,Chalmers, Math Sci, S-41296 Gothenburg, Sweden.;Univ Gothenburg, S-41296 Gothenburg, Sweden.4 aut0 (Swepub:cth)gerlee |
245 | 1 0 | a Travelling wave analysis of a mathematical model of glioblastoma growth |
264 | 1 | b Elsevier BV,c 2016 |
520 | a 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. | |
650 | 7 | a MEDICIN OCH HÄLSOVETENSKAPx Klinisk medicinx Cancer och onkologi0 (SwePub)302032 hsv//swe |
650 | 7 | a MEDICAL AND HEALTH SCIENCESx Clinical Medicinex Cancer and Oncology0 (SwePub)302032 hsv//eng |
650 | 7 | a NATURVETENSKAPx Matematikx Beräkningsmatematik0 (SwePub)101052 hsv//swe |
650 | 7 | a NATURAL SCIENCESx Mathematicsx Computational Mathematics0 (SwePub)101052 hsv//eng |
653 | a Cancer modelling | |
653 | a Cell-based model | |
653 | a Travelling waves | |
653 | a Glioblastoma | |
653 | a Glioblastoma | |
700 | 1 | a Nelander, Sven,d 1974u Uppsala universitet,Institutionen för immunologi, genetik och patologi4 aut0 (Swepub:uu)svene843 |
710 | 2 | a Göteborgs universitetb Institutionen för matematiska vetenskaper, matematik4 org |
773 | 0 | t Mathematical Biosciencesd : Elsevier BVg 276, s. 75-81q 276<75-81x 0025-5564x 1879-3134 |
856 | 4 | u http://arxiv.org/pdf/1305.5036.pdf |
856 | 4 | u http://dx.doi.org/10.1016/j.mbs.2016.03.004y FULLTEXT |
856 | 4 8 | u https://gup.ub.gu.se/publication/235802 |
856 | 4 8 | u https://doi.org/10.1016/j.mbs.2016.03.004 |
856 | 4 8 | u https://research.chalmers.se/publication/235802 |
856 | 4 8 | u https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-302238 |
Kungliga biblioteket hanterar dina personuppgifter i enlighet med EU:s dataskyddsförordning (2018), GDPR. Läs mer om hur det funkar här.
Så här hanterar KB dina uppgifter vid användning av denna tjänst.