Universität zu Köln

Azimzade, Youness ORCID: 0000-0001-7363-7916, Saberi, Abbas Ali ORCID: 0000-0001-8864-4748 and Sahimi, Muhammad (2019). Effect of heterogeneity and spatial correlations on the structure of a tumor invasion front in cellular environments. Phys. Rev. E, 100 (6). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2470-0053

Full text not available from this repository.

Abstract

Analysis of invasion front has been widely used to decipher biological properties, as well as the growth dynamics of the corresponding populations. Likewise, the invasion front of tumors has been investigated, from which insights into the biological mechanisms of tumor growth have been gained. We develop a model to study how tumors' invasion front depends on the relevant properties of a cellular environment. To do so, we develop a model based on a nonlinear reaction-diffusion equation, the Fisher-Kolmogorov-Petrovsky-Piskunov equation, to model tumor growth. Our study aims to understand how heterogeneity in the cellular environment's stiffness, as well as spatial correlations in its morphology, the existence of both of which has been demonstrated by experiments, affects the properties of tumor invasion front. It is demonstrated that three important factors affect the properties of the front, namely the spatial distribution of the local diffusion coefficients, the spatial correlations between them, and the ratio of the cells' duplication rate and their average diffusion coefficient. Analyzing the scaling properties of tumor invasion front computed by solving the governing equation, we show that, contrary to several previous claims, the invasion front of tumors and cancerous cell colonies cannot be described by the well-known models of kinetic growth, such as the Kardar-Parisi-Zhang equation.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Azimzade, Youness UNSPECIFIED orcid.org/0000-0001-7363-7916 UNSPECIFIED Saberi, Abbas Ali UNSPECIFIED orcid.org/0000-0001-8864-4748 UNSPECIFIED Sahimi, Muhammad UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-124230
DOI:	10.1103/PhysRevE.100.062409
Journal or Publication Title:	Phys. Rev. E
Volume:	100
Number:	6
Date:	2019
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2470-0053
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language DIFFUSION-CONTROLLED REACTIONS; DISORDERED POROUS-MEDIA; MATRIX STIFFNESS; PATTERN-FORMATION; CANCER; MIGRATION; MODEL; CELLS; DYNAMICS; GROWTH Multiple languages Physics, Fluids & Plasmas; Physics, Mathematical Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/12423