TY - JOUR
T1 - A DLM/FD/IB Method for Simulating Compound Cell Interacting with Red Blood Cells in a Microchannel
AU - Zhao, Shihai
AU - Yu, Yao
AU - Pan, Tsorng Whay
AU - Glowinski, Roland
N1 - Funding Information:
Manuscript received October 31, 2017. Revised November 30, 2017. 1Department of Mathematics, Dongbei University of Finance and Economics, Dalian 116023, Liaoning, China. E-mail: [email protected] 2CGG, Houston, TX 77072, USA. E-mail: [email protected] 3Department of Mathematics, University of Houston, Houston, TX 77204, USA. E-mail: [email protected] 4Department of Mathematics, University of Houston, Houston, TX 77204, USA; Department of Mathe-matics, Hong Kong Baptist University, Hong Kong, China. E-mail: [email protected] ∗This work was supported by the National Science Foundation of the United States (Nos. DMS-0914788, DMS-1418308).
PY - 2018/5/1
Y1 - 2018/5/1
N2 - In this article, a computational model and related methodologies have been tested for simulating the motion of a malaria infected red blood cell (iRBC for short) in Poiseuille flow at low Reynolds numbers. Besides the deformability of the red blood cell membrane, the migration of a neutrally buoyant particle (used to model the malaria parasite inside the membrane) is another factor to determine the iRBC motion. Typically an iRBC oscillates in a Poiseuille flow due to the competition between these two factors. The interaction of an iRBC and several RBCs in a narrow channel shows that, at lower flow speed, the iRBC can be easily pushed toward the wall and stay there to block the channel. But, at higher flow speed, RBCs and iRBC stay in the central region of the channel since their migrations are dominated by the motion of the RBC membrane.
AB - In this article, a computational model and related methodologies have been tested for simulating the motion of a malaria infected red blood cell (iRBC for short) in Poiseuille flow at low Reynolds numbers. Besides the deformability of the red blood cell membrane, the migration of a neutrally buoyant particle (used to model the malaria parasite inside the membrane) is another factor to determine the iRBC motion. Typically an iRBC oscillates in a Poiseuille flow due to the competition between these two factors. The interaction of an iRBC and several RBCs in a narrow channel shows that, at lower flow speed, the iRBC can be easily pushed toward the wall and stay there to block the channel. But, at higher flow speed, RBCs and iRBC stay in the central region of the channel since their migrations are dominated by the motion of the RBC membrane.
KW - Compound cell
KW - Elastic spring model
KW - Fictitious domain method
KW - Immersed boundary method
KW - Microchannel
KW - Red blood cells
UR - http://www.scopus.com/inward/record.url?scp=85048090008&partnerID=8YFLogxK
U2 - 10.1007/s11401-018-0081-9
DO - 10.1007/s11401-018-0081-9
M3 - Journal article
AN - SCOPUS:85048090008
SN - 0252-9599
VL - 39
SP - 535
EP - 552
JO - Chinese Annals of Mathematics. Series B
JF - Chinese Annals of Mathematics. Series B
IS - 3
ER -
