Modeling the Emergence of Phenotypic Heterogeneity in Vascularized Tumors
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Publication:4986537
DOI10.1137/19M1293971zbMath1464.35382arXiv1910.08566OpenAlexW3140640074MaRDI QIDQ4986537
Chiara Villa, Tommaso Lorenzi, Mark A. J. Chaplain
Publication date: 27 April 2021
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.08566
eco-evolutionary dynamicsnonlocal partial differential equationsmathematical oncologyvascularized tumorsintratumor heterogeneity
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Population dynamics (general) (92D25) Cell biology (92C37)
Related Items (6)
A phenotype-structured model to reproduce the avascular growth of a tumor and its interaction with the surrounding environment ⋮ A particle model to reproduce collective migration and aggregation of cells with different phenotypes ⋮ A mathematical study of the influence of hypoxia and acidity on the evolutionary dynamics of cancer ⋮ Effective interface conditions for continuum mechanical models describing the invasion of multiple cell populations through thin membranes ⋮ A simulation of parental and glycolytic tumor phenotype competition predicts observed responses to pH changes and increased glycolysis after anti-VEGF therapy ⋮ Spatio-temporal modelling of phenotypic heterogeneity in tumour tissues and its impact on radiotherapy treatment
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