Numerical approximation of microfluidic interfaces with mechano-bio-chemical coupling

• Grant number: 12/14481-8
• Support Opportunities: Regular Research Grants
• Start date: December 01, 2012
• End date: November 30, 2014
• Field of knowledge: Engineering - Mechanical Engineering - Transport Phenomena
• Principal Investigator: Gustavo Carlos Buscaglia
• Grantee: Gustavo Carlos Buscaglia
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

This project adresses the development of mathematical models and methods for the simulation of microscopic interfacial phenomena. The focus of the study will be in the current mathematical-numerical challenges that delay the scientific virtual exploration of biochemical devices and hydrodynamic phenomena at the scale of the living cell. The objective is to contribute to the advancement of technology in the areas of: (a) Problems governed by surface tension, in which serious difficulties pervade the modeling of moving contact lines and dynamic contact angles. (b) Dynamics of lipidic membranes: In the past FAPESP grant we developed the first method for 3D simulation of lipidic membrane relaxation (at the continuum level). Further studies are needed to improve this method, render it efficient, and couple it with the different physical mechanisms that act at the micron scale. (c) Analysis of configurational changes of membranes: Biochemical or environmental stimuli can trigger global mechanical changes in biological membranes. With our new dynamical algorithm it is possible to explore different such configurational changes and build a software that can be transferred to biophysicists. (d) Membrane-fluid interaction: Suitable formulations for the coupling of flexible fluidic membranes with the inner and outer fluids, considering also osmotic phenomena. Specially-tailored finite elements will be considered, as those discussed in recent publications of the proponent.Given the many applications in biofluidics and cell mechanics, the methods developed in this project will have high potential impact in the virtual experimentation of micro- and bio-fluids. (AU)

Scientific publications

(6)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

SOUSA, FABRICIO S.; OISHI, CASSIO M.; BUSCAGLIA, GUSTAVO C.. Spurious transients of projection methods in microflow simulations. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, v. 285, p. 659-693, MAR 1 2015. (11/00538-5, 12/14481-8, 09/15892-9)

CHECO, HUGO M.; JARAMILLO, ALFREDO; JAI, MOHAMMED; BUSCAGLIA, GUSTAVO C.. Texture-induced cavitation bubbles and friction reduction in the Elrod-Adams model. PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART J-JOURNAL OF ENGINEERING TRIBOLOGY, v. 229, n. 4, p. 15-pg., 2015-04-01. (11/24147-5, 12/14481-8)

CHECO, HUGO M.; JARAMILLO, ALFREDO; JAI, MOHAMMED; BUSCAGLIA, GUSTAVO C.. Texture-induced cavitation bubbles and friction reduction in the Elrod-Adams model. PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART J-JOURNAL OF ENGINEERING TRIBOLOGY, v. 229, n. 4, SI, p. 478-492, APR 2015. (12/14481-8, 11/24147-5)

RODRIGUES, DIEGO S.; AUSAS, ROBERTO F.; MUT, FERNANDO; BUSCAGLIA, GUSTAVO C.. A semi-implicit finite element method for viscous lipid membranes. Journal of Computational Physics, v. 298, p. 565-584, OCT 1 2015. (12/14481-8, 12/23383-0, 14/19249-1, 11/01800-5)

MONTEFUSCOLO, FELIPE; SOUSA, FABRICIO S.; BUSCAGLIA, GUSTAVO C.. High-order ALE schemes for incompressible capillary flows. Journal of Computational Physics, v. 278, p. 133-147, DEC 1 2014. (11/00538-5, 12/04560-8, 12/14481-8)

CHECO, HUGO M.; AUSAS, ROBERTO F.; JAI, MOHAMMED; CADALEN, JEAN-PAUL; CHOUKROUN, FRANCK; BUSCAGLIA, GUSTAVO C.. Moving textures: Simulation of a ring sliding on a textured liner. TRIBOLOGY INTERNATIONAL, v. 72, p. 131-142, APR 2014. (12/14481-8, 11/24147-5)