Matches in SemOpenAlex for { <https://semopenalex.org/work/W2080497324> ?p ?o ?g. }
- W2080497324 endingPage "1008" @default.
- W2080497324 startingPage "995" @default.
- W2080497324 abstract "In this paper we present a travelling-wave analysis of a mathematical model describing the growth of a solid tumour in the presence of an immune system response. From a modelling perspective, attention is focused upon the attack of tumour cells by tumour infiltrating cytotoxic lymphocytes (TICLs), in a small multicellular tumour, without necrosis and at some stage prior to (tumour-induced) angiogenesis. As we have shown in previous work, for a particular choice of parameters, the underlying reaction–diffusion–chemotaxis system of partial differential equations is able to simulate the well-documented phenomenon of cancer dormancy by depicting spatially heterogeneous tumour cell distributions that are characterized by a relatively small total number of tumour cells. This behaviour is consistent with several immunomorphological investigations. Moreover, the alteration of certain parameters of the model is enough to induce bifurcations into the system, which in turn result in tumour invasion in the form of a standard travelling wave. The work presented in this paper complements the bifurcation analysis undertaken by Matzavinos et al. [Math. Med. Biol. IMA 21 (2004) 1–34] and establishes the existence of travelling-wave solutions for the system under discussion by promoting the understanding of the geometry of an appropriate phase space. To cite this article: A. Matzavinos, M.A.J. Chaplain, C. R. Biologies 327 (2004). Dans cet article, nous présentons l'analyse de la propagation d'ondes progressives dans un modèle décrivant la croissance tumorale en présence du système immunitaire. Du point de vue de la modélisation, nous étudions l'attaque des cellules tumorales par des lymphocytes cytotoxiques infiltrants (TICLs) dans une petite tumeur multicellulaire, sans nécrose et à un stade précédent l'angiogenèse (induite par la tumeur). Comme il a été démontré dans un travail antérieur, et pour un choix particulier des paramètres, le système d'équations aux dérivées partielles de réaction–diffusion–chémotaxie permet de simuler le phénomène bien connu de dormance du cancer en présentant des distributions cellulaires hétérogènes dans l'espace caractérisées par un nombre relativement faible de cellules tumorales. Ce comportement est cohérent avec plusieurs résultats immunomorphologiques. De plus, le changement de certains paramètres du modèle est suffisant pour induire des bifurcations du système, qui conduisent à une invasion tumorale sous la forme d'une onde progressive classique. Le travail présenté dans cet article est complémentaire à l'analyse de bifurcations réalisée par Matzavinos (2003) et met en évidence l'existence de solutions de type ondes progressives pour ce système, en donnant des arguments géométriques pour un espace de phase approprié. Pour citer cet article : A. Matzavinos, M.A.J. Chaplain, C. R. Biologies 327 (2004)." @default.
- W2080497324 created "2016-06-24" @default.
- W2080497324 creator A5063667645 @default.
- W2080497324 creator A5065439199 @default.
- W2080497324 date "2004-11-01" @default.
- W2080497324 modified "2023-10-10" @default.
- W2080497324 title "Travelling-wave analysis of a model of the immune response to cancer" @default.
- W2080497324 cites W1516516694 @default.
- W2080497324 cites W1578306467 @default.
- W2080497324 cites W1616771759 @default.
- W2080497324 cites W1965658210 @default.
- W2080497324 cites W1979575182 @default.
- W2080497324 cites W1980957109 @default.
- W2080497324 cites W1982057000 @default.
- W2080497324 cites W1984458578 @default.
- W2080497324 cites W1986837879 @default.
- W2080497324 cites W1996213872 @default.
- W2080497324 cites W2005429793 @default.
- W2080497324 cites W2008701871 @default.
- W2080497324 cites W2010418408 @default.
- W2080497324 cites W2010584394 @default.
- W2080497324 cites W2014133785 @default.
- W2080497324 cites W2016767879 @default.
- W2080497324 cites W2023489914 @default.
- W2080497324 cites W2025337697 @default.
- W2080497324 cites W2032771126 @default.
- W2080497324 cites W2036244263 @default.
- W2080497324 cites W2041435524 @default.
- W2080497324 cites W2049286744 @default.
- W2080497324 cites W2049872406 @default.
- W2080497324 cites W2052661901 @default.
- W2080497324 cites W2053489268 @default.
- W2080497324 cites W2081696580 @default.
- W2080497324 cites W2082393510 @default.
- W2080497324 cites W2083049240 @default.
- W2080497324 cites W2094358946 @default.
- W2080497324 cites W2095028791 @default.
- W2080497324 cites W2097329397 @default.
- W2080497324 cites W2117334458 @default.
- W2080497324 cites W2132223339 @default.
- W2080497324 cites W2148638342 @default.
- W2080497324 cites W2154508073 @default.
- W2080497324 cites W2158667119 @default.
- W2080497324 cites W2403121463 @default.
- W2080497324 cites W4233555646 @default.
- W2080497324 doi "https://doi.org/10.1016/j.crvi.2004.07.016" @default.
- W2080497324 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/15628222" @default.
- W2080497324 hasPublicationYear "2004" @default.
- W2080497324 type Work @default.
- W2080497324 sameAs 2080497324 @default.
- W2080497324 citedByCount "37" @default.
- W2080497324 countsByYear W20804973242012 @default.
- W2080497324 countsByYear W20804973242013 @default.
- W2080497324 countsByYear W20804973242014 @default.
- W2080497324 countsByYear W20804973242015 @default.
- W2080497324 countsByYear W20804973242016 @default.
- W2080497324 countsByYear W20804973242017 @default.
- W2080497324 countsByYear W20804973242019 @default.
- W2080497324 countsByYear W20804973242022 @default.
- W2080497324 countsByYear W20804973242023 @default.
- W2080497324 crossrefType "journal-article" @default.
- W2080497324 hasAuthorship W2080497324A5063667645 @default.
- W2080497324 hasAuthorship W2080497324A5065439199 @default.
- W2080497324 hasConcept C121231716 @default.
- W2080497324 hasConcept C121332964 @default.
- W2080497324 hasConcept C134306372 @default.
- W2080497324 hasConcept C1491633281 @default.
- W2080497324 hasConcept C158622935 @default.
- W2080497324 hasConcept C203014093 @default.
- W2080497324 hasConcept C2781349735 @default.
- W2080497324 hasConcept C2988173416 @default.
- W2080497324 hasConcept C33923547 @default.
- W2080497324 hasConcept C54355233 @default.
- W2080497324 hasConcept C62520636 @default.
- W2080497324 hasConcept C74318829 @default.
- W2080497324 hasConcept C86803240 @default.
- W2080497324 hasConcept C8891405 @default.
- W2080497324 hasConcept C93779851 @default.
- W2080497324 hasConceptScore W2080497324C121231716 @default.
- W2080497324 hasConceptScore W2080497324C121332964 @default.
- W2080497324 hasConceptScore W2080497324C134306372 @default.
- W2080497324 hasConceptScore W2080497324C1491633281 @default.
- W2080497324 hasConceptScore W2080497324C158622935 @default.
- W2080497324 hasConceptScore W2080497324C203014093 @default.
- W2080497324 hasConceptScore W2080497324C2781349735 @default.
- W2080497324 hasConceptScore W2080497324C2988173416 @default.
- W2080497324 hasConceptScore W2080497324C33923547 @default.
- W2080497324 hasConceptScore W2080497324C54355233 @default.
- W2080497324 hasConceptScore W2080497324C62520636 @default.
- W2080497324 hasConceptScore W2080497324C74318829 @default.
- W2080497324 hasConceptScore W2080497324C86803240 @default.
- W2080497324 hasConceptScore W2080497324C8891405 @default.
- W2080497324 hasConceptScore W2080497324C93779851 @default.
- W2080497324 hasIssue "11" @default.
- W2080497324 hasLocation W20804973241 @default.
- W2080497324 hasLocation W20804973242 @default.
- W2080497324 hasOpenAccess W2080497324 @default.
- W2080497324 hasPrimaryLocation W20804973241 @default.