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A DLM/FD/IB method for simulating cell/cell and cell/particle interaction in microchannels

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Abstract

A spring model is used to simulate the skeleton structure of the red blood cell (RBC) membrane and to study the red blood cell (RBC) rheology in Poiseuille flow with an immersed boundary method. The lateral migration properties of many cells in Poiseuille flow have been investigated. The authors also combine the above methodology with a distributed Lagrange multiplier/fictitious domain method to simulate the interaction of cells and neutrally buoyant particles in a microchannel for studying the margination of particles.

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Authors and Affiliations

  1. Department of Mathematics, University of Houston, Houston, TX, 77204, USA

    Tsorng-Whay Pan, Lingling Shi & Roland Glowinski

Authors
  1. Tsorng-Whay Pan
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  2. Lingling Shi
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  3. Roland Glowinski
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Correspondence to Tsorng-Whay Pan.

Additional information

Dedicated to Professor Roger Temam on the Occasion of his 70th Birthday

Project supported by the National Science Foundation of the United States (Nos. ECS-9527123, CTS.-9873236, DMS-9973318, CCR-9902035, DMS-0209066, DMS-0443826, DMS-0914788).

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Pan, TW., Shi, L. & Glowinski, R. A DLM/FD/IB method for simulating cell/cell and cell/particle interaction in microchannels. Chin. Ann. Math. Ser. B 31, 975–990 (2010). https://doi.org/10.1007/s11401-010-0609-0

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  • DOI: https://doi.org/10.1007/s11401-010-0609-0

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