Mathematical modeling of tumor growth
From a geomechanical standpoint, it is possible to set out a mathematical model of human or animal tumor grow from a natural extension of the corresponding one used in multiphase flow in porous media due to the also natural analogy between the mechanical behavior of soft tissue and classic mechan...
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Asociación Argentina de Mecánica Computacional
2023
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| Acceso en línea: | http://repositorio.unne.edu.ar/handle/123456789/51676 |
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I48-R184-123456789-516762023-06-14T23:05:06Z Mathematical modeling of tumor growth Beneyto, Pablo Alejandro Di Rado, Héctor Ariel Mroginski, Javier Luis Awruch, Armando Miguel Mixture theory Multiphasic porous media Cell growth From a geomechanical standpoint, it is possible to set out a mathematical model of human or animal tumor grow from a natural extension of the corresponding one used in multiphase flow in porous media due to the also natural analogy between the mechanical behavior of soft tissue and classic mechanics porous media. To that scope, normal and tumour cells as well as interstitial fluids will be regarded as fluids, whereas the extracellular matrix, whether rigid or deformable, as solid (soil) skeleton. Liquids are composed of molecules with interactions acting at a macroscopic level by means of the two physical properties namely viscosity and the surface stress; likewise, tissues are composed of cells with adhesives interactions which rheology may be described by viscosity and surface stress as well. Both viscosity and surface stress depend, among others, on intercellular adhesion. Along with tissues and liquids, many other materials may be mechanically treated as soft, namely foams, colloids and polimers. The relevance of extending Onco-physic transporting models from classical mechanics was successfully carried out by many authors. The authors of this paper have enforced a mathematical model of multiphase flow in porous media based on a stress state decomposition. For the present paper a model of tumor grow and an eventual response to principal medicine treatments from the abovementioned geotechnical mathematical model will be encouraged being the mathematical framework the underlying fulcrum. The level of detailed required to account for, by means of mathematical models, the geometrical structure and the unpredictability of physical properties revealed in the different micro-phases, would entailed extremely elevated computational cost due to the tinniest domains involved in the simulation. To overcome these drawbacks, a macro scale simulation will be carried out enforcing the most adequate description of system behavior while filtering spatial randomness. Mecánica Computacional Vol XXXVI, págs. 1865-1865 (resumen) José G. Etse, Bibiana M. Luccioni, Martín A. Pucheta, Mario A. Storti (Eds.) San Miguel de Tucumán, 6-9 Noviembre 2018 Copyright 2023-06-13T15:55:13Z 2023-06-13T15:55:13Z 2018 Artículo Beneyto, Pablo Alejandro, et al., 2017. Mathematical modeling of tumor growth. Mecánica Computacional. Santa Fe: Asociación Argentina de Mecánica Computacional, vol. 36, p. 1835-1835. ISSN 2591-3522. http://repositorio.unne.edu.ar/handle/123456789/51676 eng openAccess http://creativecommons.org/licenses/by-nc-nd/2.5/ar/ application/pdf p. 1865-1865 application/pdf Asociación Argentina de Mecánica Computacional Mecánica Computacional, 2018, vol. 36, p. 1865-1865 |
| institution |
Universidad Nacional del Nordeste |
| institution_str |
I-48 |
| repository_str |
R-184 |
| collection |
RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) |
| language |
Inglés |
| topic |
Mixture theory Multiphasic porous media Cell growth |
| spellingShingle |
Mixture theory Multiphasic porous media Cell growth Beneyto, Pablo Alejandro Di Rado, Héctor Ariel Mroginski, Javier Luis Awruch, Armando Miguel Mathematical modeling of tumor growth |
| topic_facet |
Mixture theory Multiphasic porous media Cell growth |
| description |
From a geomechanical standpoint, it is possible to set out a mathematical model of human
or animal tumor grow from a natural extension of the corresponding one used in multiphase flow in
porous media due to the also natural analogy between the mechanical behavior of soft tissue and classic
mechanics porous media. To that scope, normal and tumour cells as well as interstitial fluids will be
regarded as fluids, whereas the extracellular matrix, whether rigid or deformable, as solid (soil) skeleton.
Liquids are composed of molecules with interactions acting at a macroscopic level by means of the
two physical properties namely viscosity and the surface stress; likewise, tissues are composed of cells
with adhesives interactions which rheology may be described by viscosity and surface stress as well.
Both viscosity and surface stress depend, among others, on intercellular adhesion. Along with tissues
and liquids, many other materials may be mechanically treated as soft, namely foams, colloids and
polimers. The relevance of extending Onco-physic transporting models from classical mechanics was
successfully carried out by many authors. The authors of this paper have enforced a mathematical model
of multiphase flow in porous media based on a stress state decomposition. For the present paper a model
of tumor grow and an eventual response to principal medicine treatments from the abovementioned
geotechnical mathematical model will be encouraged being the mathematical framework the underlying
fulcrum. The level of detailed required to account for, by means of mathematical models, the geometrical
structure and the unpredictability of physical properties revealed in the different micro-phases, would
entailed extremely elevated computational cost due to the tinniest domains involved in the simulation.
To overcome these drawbacks, a macro scale simulation will be carried out enforcing the most adequate
description of system behavior while filtering spatial randomness.
Mecánica Computacional Vol XXXVI, págs. 1865-1865 (resumen)
José G. Etse, Bibiana M. Luccioni, Martín A. Pucheta, Mario A. Storti (Eds.)
San Miguel de Tucumán, 6-9 Noviembre 2018
Copyright |
| format |
Artículo |
| author |
Beneyto, Pablo Alejandro Di Rado, Héctor Ariel Mroginski, Javier Luis Awruch, Armando Miguel |
| author_facet |
Beneyto, Pablo Alejandro Di Rado, Héctor Ariel Mroginski, Javier Luis Awruch, Armando Miguel |
| author_sort |
Beneyto, Pablo Alejandro |
| title |
Mathematical modeling of tumor growth |
| title_short |
Mathematical modeling of tumor growth |
| title_full |
Mathematical modeling of tumor growth |
| title_fullStr |
Mathematical modeling of tumor growth |
| title_full_unstemmed |
Mathematical modeling of tumor growth |
| title_sort |
mathematical modeling of tumor growth |
| publisher |
Asociación Argentina de Mecánica Computacional |
| publishDate |
2023 |
| url |
http://repositorio.unne.edu.ar/handle/123456789/51676 |
| work_keys_str_mv |
AT beneytopabloalejandro mathematicalmodelingoftumorgrowth AT diradohectorariel mathematicalmodelingoftumorgrowth AT mroginskijavierluis mathematicalmodelingoftumorgrowth AT awrucharmandomiguel mathematicalmodelingoftumorgrowth |
| _version_ |
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