A new two-component approach in modeling red blood cells

Autor(es)

Meacci, Luca ^[1] ; Buscaglia, Gustavo C. ^[1] ; Mut, Fernando ^[2] ; Ausas, Roberto F. ^[1] ; Primicerio, Mario ^{[3, 4]}

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, ICMC, Sao Carlos, SP - Brazil

^[2] George Mason Univ, Bioengn Dept, Fairfax, VA 22030 - USA

^[3] Univ Firenze, Dipartimento Matemat U Dini, Florence - Italy

^[4] CNR, Ist Applicaz Calcolo M Picone, Rome - Italy

• Tipo de documento: Artigo Científico
• Fonte: COMMUNICATIONS IN APPLIED AND INDUSTRIAL MATHEMATICS; v. 11, n. 1, p. 55-71, JAN 2020.
• Citações Web of Science: 0

Resumo

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 efficient 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 (0.3nm) is much smaller than the overall size (similar or equal to 8000nm). 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. (AU)

• Processo FAPESP: 13/07375-0 - CeMEAI - Centro de Ciências Matemáticas Aplicadas à Indústria
• Beneficiário: Francisco Louzada Neto
• Modalidade de apoio: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs
• Processo FAPESP: 18/08752-5 - Modelagem numérica avançada de escoamentos multifásicos
• Beneficiário: Gustavo Carlos Buscaglia
• Modalidade de apoio: Bolsas no Exterior - Pesquisa