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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Formato: | Articulo |
Lenguaje: | Inglés |
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2013
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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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I19-R120-10915-96950 |
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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 |
work_keys_str_mv |
AT mogliabelen interfacialpropertiesinadiscretemodelfortumorgrowth AT guisoninaracristina interfacialpropertiesinadiscretemodelfortumorgrowth AT albanoezequielvicente interfacialpropertiesinadiscretemodelfortumorgrowth |
bdutipo_str |
Repositorios |
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1764820492231901185 |