Modelling and simulation of processes in microfluidic devices for biomedical applications

We investigate a mathematical model describing the flow of a liquid in a microchannel. The model incorporates immersed objects in the fluid as well as fixed obstacles and boundaries of the microchannel. Objects can have different elastic properties, including solid objects and deformable objects. The flow description accounts for all types of mechanical interactions: fluid-object, object-object, fluid-walls, and object-walls interactions.

[1]  Y. C. Fung,et al.  Improved measurements of the erythrocyte geometry. , 1972, Microvascular research.

[2]  Roland Zengerle,et al.  Microfluidic platforms for lab-on-a-chip applications. , 2007, Lab on a chip.

[3]  R. Austin,et al.  Bacterial metapopulations in nanofabricated landscapes , 2006, Proceedings of the National Academy of Sciences.

[4]  Peter Košovan,et al.  Amphiphilic Graft Copolymers in Selective Solvents: Molecular Dynamics Simulations and Scaling Theory , 2009 .

[5]  Burkhard Dünweg,et al.  Lattice Boltzmann Simulation of Polymer-Solvent Systems , 1998 .

[6]  T. Y. Wu,et al.  Hydromechanics of low-Reynolds-number flow. Part 2. Singularity method for Stokes flows , 1975, Journal of Fluid Mechanics.

[7]  P. Silberzan,et al.  Microfluidics for biotechnology , 2005 .

[8]  Hans-Jörg Limbach,et al.  ESPResSo - an extensible simulation package for research on soft matter systems , 2006, Comput. Phys. Commun..

[9]  S. Datta,et al.  Stokes drag on axially symmetric bodies: a new approach , 1999 .

[10]  Z. Feng,et al.  The immersed boundary-lattice Boltzmann method for solving fluid-particles interaction problems , 2004 .

[11]  S. Suresh,et al.  Nonlinear elastic and viscoelastic deformation of the human red blood cell with optical tweezers. , 2004, Mechanics & chemistry of biosystems : MCB.

[12]  Siyang Zheng,et al.  Membrane microfilter device for selective capture, electrolysis and genomic analysis of human circulating tumor cells. , 2007, Journal of chromatography. A.

[13]  Christian Holm,et al.  Applying ICC* to DNA translocation: Effect of dielectric boundaries , 2011, Comput. Phys. Commun..

[14]  M. Dupin,et al.  Modeling the flow of dense suspensions of deformable particles in three dimensions. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[15]  T. Y. Wu,et al.  Hydromechanics of low-Reynolds-number flow. Part 5. Motion of a slender torus , 1979, Journal of Fluid Mechanics.