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A multiscale model for acid-mediated tumor invasion: therapy approaches

  • Starting from the two-scale model for pH-taxis of cancer cells introduced in [1], we consider here an extension accounting for tumor heterogeneity w.r.t. treatment sensitivity and a treatment approach including chemo- and radiotherapy. The effect of peritumoral region alkalinization on such therapeutic combination is investigated with the aid of numerical simulations.

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Metadaten
Author:Gülnihal Meral, Christian Stinner, Christina Surulescu
URN (permanent link):urn:nbn:de:hbz:386-kluedo-38701
Document Type:Preprint
Language of publication:English
Publication Date:2014/09/12
Year of Publication:2014
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2014/09/12
Tag:acid-mediated tumor invasion; chemotherapy; multiscale model; pH-taxis; radiotherapy; reaction-diffusion-transport equations
Number of page:7
Source:Journal of Coupled Systems and Multiscale Dynamics 3, No. 2, 135-142 (2015)
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
MSC-Classification (mathematics):35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Kxx Parabolic equations and systems [See also 35Bxx, 35Dxx, 35R30, 35R35, 58J35] / 35K10 Second-order parabolic equations
35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Qxx Equations of mathematical physics and other areas of application [See also 35J05, 35J10, 35K05, 35L05] / 35Q92 PDEs in connection with biology and other natural sciences
92-XX BIOLOGY AND OTHER NATURAL SCIENCES / 92Cxx Physiological, cellular and medical topics / 92C17 Cell movement (chemotaxis, etc.)
92-XX BIOLOGY AND OTHER NATURAL SCIENCES / 92Cxx Physiological, cellular and medical topics / 92C50 Medical applications (general)
PACS-Classification (physics):80.00.00 INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY / 87.00.00 Biological and medical physics / 87.10.-e General theory and mathematical aspects / 87.10.Ed Ordinary differential equations (ODE), partial differential equations (PDE), integrodifferential models
80.00.00 INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY / 87.00.00 Biological and medical physics / 87.17.-d Cell processes / 87.17.Jj Cell locomotion, chemotaxis
80.00.00 INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY / 87.00.00 Biological and medical physics / 87.18.-h Biological complexity (see also 82.39.Rt Reactions in complex biological systems in physical chemistry) / 87.18.Hf Spatiotemporal pattern formation in cellular populations
Licence (German):Standard gemäß KLUEDO-Leitlinien vom 10.09.2012