A new two-component approach in modeling red blood cells
| Autor: | Mario Primicerio, Luca Meacci, Roberto F. Ausas, Gustavo C. Buscaglia, Fernando Mut |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
0301 basic medicine
0206 medical engineering BIOLOGIA CELULAR red blood cell 02 engineering and technology 010103 numerical & computational mathematics 01 natural sciences Industrial and Manufacturing Engineering 03 medical and health sciences Component (UML) cell biology biological fluid mechanics 0101 mathematics 030304 developmental biology T57-57.97 0303 health sciences fluid-solid interactions Applied mathematics. Quantitative methods Chemistry Applied Mathematics mathematical modeling cytoskeleton 020601 biomedical engineering 030104 developmental biology lipid membrane Biological system |
| Zdroj: | Communications in Applied and Industrial Mathematics, Vol 11, Iss 1, Pp 55-71 (2020) Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual) Universidade de São Paulo (USP) instacron:USP |
| ISSN: | 2038-0909 |
| DOI: | 10.1515/caim-2020-0004 |
| Popis: | This work consists in the presentation of a computational modelling approach to study normal and pathological behavior of red blood cells in slow transient processes that can not be accompanied by pure particle methods (which require very small time steps). The basic model, inspired by the best models currently available, considers the cytoskeleton as a discrete non-linear elastic structure. The novelty of the proposed work is to couple this skeleton with continuum models instead of the more common discrete models (molecular dynamics, particle methods) of the lipid bilayer. The interaction of the solid cytoskeleton with the bilayer, which is a two-dimensional fluid, will be done through adhesion forces adapting e cient solid-solid adhesion algorithms. The continuous treatment of the fluid parts is well justified by scale arguments and leads to much more stable and precise numerical problems when, as is the case, the size of the molecules (0.3 nm) is much smaller than the overall size (≃ 8000 nm). In this paper we display some numerical simulations that show how our approach can describe the interaction of an RBC with an exogenous body as well as the relaxation of the shape of an RBC toward its equilibrium configuration in absence of external forces. |
| Databáze: | OpenAIRE |
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