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  4. Combining cellular automata and lattice Boltzmann method to model multiscale avascular tumor growth coupled with nutrient diffusion and immune competition
 
research article

Combining cellular automata and lattice Boltzmann method to model multiscale avascular tumor growth coupled with nutrient diffusion and immune competition

Alemani, Davide
•
Pappalardo, Francesco
•
Pennisi, Marzio
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2012
Journal Of Immunological Methods

In the last decades the Lattice Boltzmann method (LB) has been successfully used to simulate a variety of processes. The LB model describes the microscopic processes occurring at the cellular level and the macroscopic processes occurring at the continuum level with a unique function, the probability distribution function. Recently, it has been tried to couple deterministic approaches with probabilistic cellular automata (probabilistic CA) methods with the aim to model temporal evolution of tumor growths and three dimensional spatial evolution, obtaining hybrid methodologies. Despite the good results attained by CA-PDE methods, there is one important issue which has not been completely solved: the intrinsic stochastic nature of the interactions at the interface between cellular (microscopic) and continuum (macroscopic) level. CA methods are able to cope with the stochastic phenomena because of their probabilistic nature, while PDE methods are fully deterministic. Even if the coupling is mathematically correct, there could be important statistical effects that could be missed by the PDE approach. For such a reason, to be able to develop and manage a model that takes into account all these three level of complexity (cellular, molecular and continuum), we believe that PDE should be replaced with a statistic and stochastic model based on the numerical discretization of the Boltzmann equation: The Lattice Boltzmann (LB) method. In this work we introduce a new hybrid method to simulate tumor growth and immune system, by applying Cellular Automata Lattice Boltzmann (CA-LB) approach. (c) 2011 Elsevier B.V. All rights reserved.

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Type
research article
DOI
10.1016/j.jim.2011.11.009
Web of Science ID

WOS:000301206800006

Author(s)
Alemani, Davide
Pappalardo, Francesco
Pennisi, Marzio
Motta, Santo
Brusic, Vladimir
Date Issued

2012

Published in
Journal Of Immunological Methods
Volume

376

Start page

55

End page

68

Subjects

Immune system

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Dosage optimization

•

Computational models

•

Cellular automata

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Hybrid models

•

Lattice Boltzmann

•

Mathematical-Models

•

Solid Tumor

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Induced Angiogenesis

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Oxygen-Consumption

•

Cancer

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Invasion

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System

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Chemotherapy

•

Environment

•

Simulation

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
IBI  
Available on Infoscience
April 5, 2012
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/79206
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