Interfacial properties in a discrete model for tumor growth

We propose and study, by means of Monte Carlo numerical simulations, a minimal discrete model for avascular tumor growth, which can also be applied for the description of cell cultures in vitro. The interface of the tumor is self-affine and its width can be characterized by the following exponents:...

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Autores principales: Moglia, Belén, Guisoni, Nara Cristina, Albano, Ezequiel Vicente
Formato: Articulo
Lenguaje:Inglés
Publicado: 2013
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/96950
https://ri.conicet.gov.ar/11336/23522
https://journals.aps.org/pre/abstract/10.1103/PhysRevE.87.032713
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id I19-R120-10915-96950
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Interfaces
Kardar-parisi-zhang
spellingShingle Ciencias Exactas
Interfaces
Kardar-parisi-zhang
Moglia, Belén
Guisoni, Nara Cristina
Albano, Ezequiel Vicente
Interfacial properties in a discrete model for tumor growth
topic_facet Ciencias Exactas
Interfaces
Kardar-parisi-zhang
description We propose and study, by means of Monte Carlo numerical simulations, a minimal discrete model for avascular tumor growth, which can also be applied for the description of cell cultures in vitro. The interface of the tumor is self-affine and its width can be characterized by the following exponents: (i) the growth exponent β = 0.32 ( 2 ) that governs the early time regime, (ii) the roughness exponent α = 0.49 ( 2 ) related to the fluctuations in the stationary regime, and (iii) the dynamic exponent z = α / β ≃ 1.49 ( 2 ) , which measures the propagation of correlations in the direction parallel to the interface, e.g., ξ ∝ t 1 / z , where ξ is the parallel correlation length. Therefore, the interface belongs to the Kardar-Parisi-Zhang universality class, in agreement with recent experiments of cell cultures in vitro. Furthermore, density profiles of the growing cells are rationalized in terms of traveling waves that are solutions of the Fisher-Kolmogorov equation. In this way, we achieved excellent agreement between the simulation results of the discrete model and the continuous description of the growth front of the culture or tumor.
format Articulo
Articulo
author Moglia, Belén
Guisoni, Nara Cristina
Albano, Ezequiel Vicente
author_facet Moglia, Belén
Guisoni, Nara Cristina
Albano, Ezequiel Vicente
author_sort Moglia, Belén
title Interfacial properties in a discrete model for tumor growth
title_short Interfacial properties in a discrete model for tumor growth
title_full Interfacial properties in a discrete model for tumor growth
title_fullStr Interfacial properties in a discrete model for tumor growth
title_full_unstemmed Interfacial properties in a discrete model for tumor growth
title_sort interfacial properties in a discrete model for tumor growth
publishDate 2013
url http://sedici.unlp.edu.ar/handle/10915/96950
https://ri.conicet.gov.ar/11336/23522
https://journals.aps.org/pre/abstract/10.1103/PhysRevE.87.032713
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AT guisoninaracristina interfacialpropertiesinadiscretemodelfortumorgrowth
AT albanoezequielvicente interfacialpropertiesinadiscretemodelfortumorgrowth
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