Hybrid models of cell and tissue dynamics in tumor growth

Hybrid models of tumor growth, in which some regions are described at the celllevel and others at the continuum level, provide a flexible description thatallows alterations of cell-level properties and detailed descriptions of theinteraction with the tumor environment, yet retain the computational a...

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Main Authors: Yangjin Kim, Hans G. Othmer
Format: Article
Language:English
Published: AIMS Press 2015-07-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.1141
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author Yangjin Kim
Hans G. Othmer
author_facet Yangjin Kim
Hans G. Othmer
author_sort Yangjin Kim
collection DOAJ
description Hybrid models of tumor growth, in which some regions are described at the celllevel and others at the continuum level, provide a flexible description thatallows alterations of cell-level properties and detailed descriptions of theinteraction with the tumor environment, yet retain the computational advantagesof continuum models where appropriate. We review aspects of the general approachand discuss applications to breast cancer and glioblastoma.
format Article
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institution Kabale University
issn 1551-0018
language English
publishDate 2015-07-01
publisher AIMS Press
record_format Article
series Mathematical Biosciences and Engineering
spelling doaj-art-698a963e4a5449ec9b17cd2117e57b972025-01-24T02:33:57ZengAIMS PressMathematical Biosciences and Engineering1551-00182015-07-011261141115610.3934/mbe.2015.12.1141Hybrid models of cell and tissue dynamics in tumor growthYangjin Kim0Hans G. Othmer1Department of Mathematics, Konkuk University, SeoulSchool of Mathematics, University of Minnesota, Minneapolis, MN 55445Hybrid models of tumor growth, in which some regions are described at the celllevel and others at the continuum level, provide a flexible description thatallows alterations of cell-level properties and detailed descriptions of theinteraction with the tumor environment, yet retain the computational advantagesof continuum models where appropriate. We review aspects of the general approachand discuss applications to breast cancer and glioblastoma.https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.1141microenvironment.tumor growthcancer
spellingShingle Yangjin Kim
Hans G. Othmer
Hybrid models of cell and tissue dynamics in tumor growth
Mathematical Biosciences and Engineering
microenvironment.
tumor growth
cancer
title Hybrid models of cell and tissue dynamics in tumor growth
title_full Hybrid models of cell and tissue dynamics in tumor growth
title_fullStr Hybrid models of cell and tissue dynamics in tumor growth
title_full_unstemmed Hybrid models of cell and tissue dynamics in tumor growth
title_short Hybrid models of cell and tissue dynamics in tumor growth
title_sort hybrid models of cell and tissue dynamics in tumor growth
topic microenvironment.
tumor growth
cancer
url https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.1141
work_keys_str_mv AT yangjinkim hybridmodelsofcellandtissuedynamicsintumorgrowth
AT hansgothmer hybridmodelsofcellandtissuedynamicsintumorgrowth