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: | , , |
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| Formato: | Artículo |
| Lenguaje: | Inglés |
| Publicado: |
Scientific Research Publishing
2024
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| Materias: | |
| Acceso en línea: | http://repositorio.unne.edu.ar/handle/123456789/53130 |
| Aporte de: |
| Sumario: | 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. |
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