Hybrid  models of cell and tissue dynamics in tumor growth

Yangjin Kim; Hans G.  Othmer; Yangjin Kim; Hans G.  Othmer

doi:10.3934/mbe.2015.12.1141

Mathematical Biosciences and Engineering

2015, Volume 12, Issue 6: 1141-1156. doi: 10.3934/mbe.2015.12.1141

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Hybrid models of cell and tissue dynamics in tumor growth

Yangjin Kim ¹,
Hans G. Othmer ²

1.
Department of Mathematics, Konkuk University, Seoul
2.
School of Mathematics, University of Minnesota, Minneapolis, MN 55445

Received: 01 October 2014 Accepted: 29 June 2018 Published: 01 August 2015
MSC : Primary: 92C45, 92C50; Secondary: 92B05.

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.

Keywords:

Citation: Yangjin Kim, Hans G. Othmer. Hybrid models of cell and tissue dynamics in tumor growth[J]. Mathematical Biosciences and Engineering, 2015, 12(6): 1141-1156. doi: 10.3934/mbe.2015.12.1141

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Abstract

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