Preliminaries for a new mathematical framework for modelling tumour growth using stress state decomposition technique

The main goal of the present paper is to present a mathematical framework for modelling tumour growth based on stress state decomposition technique (SSDT). This is a straightforward extension of the model for multi-phase non- saturated soil consolidation with pollutant transport presented by th...

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Autores principales: Di Rado, Héctor Ariel, Beneyto, Pablo Alejandro, Mroginski, Javier Luis
Formato: Artículo
Lenguaje:Inglés
Publicado: Scientific Research Publishing 2024
Materias:
Cancer
Tumour growth
Mathematical modelling
Stress state decomposition technique
Acceso en línea:http://repositorio.unne.edu.ar/handle/123456789/53130
Aporte de:
RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) de Universidad Nacional del Nordeste
id I48-R184-123456789-53130
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spelling I48-R184-123456789-531302024-03-13T23:05:03Z Preliminaries for a new mathematical framework for modelling tumour growth using stress state decomposition technique Di Rado, Héctor Ariel Beneyto, Pablo Alejandro Mroginski, Javier Luis Cancer Tumour growth Mathematical modelling Stress state decomposition technique The main goal of the present paper is to present a mathematical framework for modelling tumour growth based on stress state decomposition technique (SSDT). This is a straightforward extension of the model for multi-phase non- saturated soil consolidation with pollutant transport presented by the authors and may be regarded as an alternative to classical frameworks based on TCAT theory. In this preliminary work, the Representative Volume Element (RVE) for tumour is proposed along with its comparison with the corresponding one for soils modelling developed formerly by the authors. Equations stand- ing for tumour phase are flawlessly brought into correspondence with those of gaseous phase in the soil problem showing that a similar task may be car- ried out for the remainders phases taking part in both RVEs. Furthermore, stresses induced by nonlinear saturation and permeability dependence on suction for soil interstitial fluids transport finds its counterpart on the contact between the cancer cell membrane and interstitial fluids rendering a higher primary variables coupling degree than what was attained in TCAT theory. From these preliminaries assessments, it may be put forward that likewise the stress state decomposition procedure stands for an alternative for modelling multi-phase nonsaturated soil consolidation with pollutant transport; it does for modelling cancer as well. 2024-03-13T12:29:24Z 2024-03-13T12:29:24Z 2020 Artículo Di Rado, Héctor Ariel, Beneyto, Pablo Alejandro y Mroginski, Javier Luis, 2020. Preliminaries for a new mathematical framework for modelling tumour growth using stress state decomposition technique. Journal of Biosciences and Medicine. Estados Unidos: Scientific Research Publishing, vol. 8, no. 2, p. 73-81. E-ISSN 2327-509X. 2327-5081 http://repositorio.unne.edu.ar/handle/123456789/53130 eng openAccess http://creativecommons.org/licenses/by-nc-nd/2.5/ar/ application/pdf p. 73-81 application/pdf Scientific Research Publishing Journal of Biosciences and Medicine, 2020, vol. 8, p. 73-81.
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 Cancer
Tumour growth
Mathematical modelling
Stress state decomposition technique
spellingShingle Cancer
Tumour growth
Mathematical modelling
Stress state decomposition technique
Di Rado, Héctor Ariel
Beneyto, Pablo Alejandro
Mroginski, Javier Luis
Preliminaries for a new mathematical framework for modelling tumour growth using stress state decomposition technique
topic_facet Cancer
Tumour growth
Mathematical modelling
Stress state decomposition technique
description The main goal of the present paper is to present a mathematical framework for modelling tumour growth based on stress state decomposition technique (SSDT). This is a straightforward extension of the model for multi-phase non- saturated soil consolidation with pollutant transport presented by the authors and may be regarded as an alternative to classical frameworks based on TCAT theory. In this preliminary work, the Representative Volume Element (RVE) for tumour is proposed along with its comparison with the corresponding one for soils modelling developed formerly by the authors. Equations stand- ing for tumour phase are flawlessly brought into correspondence with those of gaseous phase in the soil problem showing that a similar task may be car- ried out for the remainders phases taking part in both RVEs. Furthermore, stresses induced by nonlinear saturation and permeability dependence on suction for soil interstitial fluids transport finds its counterpart on the contact between the cancer cell membrane and interstitial fluids rendering a higher primary variables coupling degree than what was attained in TCAT theory. From these preliminaries assessments, it may be put forward that likewise the stress state decomposition procedure stands for an alternative for modelling multi-phase nonsaturated soil consolidation with pollutant transport; it does for modelling cancer as well.
format Artículo
author Di Rado, Héctor Ariel
Beneyto, Pablo Alejandro
Mroginski, Javier Luis
author_facet Di Rado, Héctor Ariel
Beneyto, Pablo Alejandro
Mroginski, Javier Luis
author_sort Di Rado, Héctor Ariel
title Preliminaries for a new mathematical framework for modelling tumour growth using stress state decomposition technique
title_short Preliminaries for a new mathematical framework for modelling tumour growth using stress state decomposition technique
title_full Preliminaries for a new mathematical framework for modelling tumour growth using stress state decomposition technique
title_fullStr Preliminaries for a new mathematical framework for modelling tumour growth using stress state decomposition technique
title_full_unstemmed Preliminaries for a new mathematical framework for modelling tumour growth using stress state decomposition technique
title_sort preliminaries for a new mathematical framework for modelling tumour growth using stress state decomposition technique
publisher Scientific Research Publishing
publishDate 2024
url http://repositorio.unne.edu.ar/handle/123456789/53130
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AT beneytopabloalejandro preliminariesforanewmathematicalframeworkformodellingtumourgrowthusingstressstatedecompositiontechnique
AT mroginskijavierluis preliminariesforanewmathematicalframeworkformodellingtumourgrowthusingstressstatedecompositiontechnique
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