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Dynamic Simulation of Red Blood Cell Rheology in a U-shaped Microtube

Dynamic Simulation of Red Blood Cell Rheology in a U-shaped Microtube. S.Y. Lin, Y.H. Chin, J.J. Hu, and A.J. Chung Department of Aeronautics and Astronautics National Cheng Kung University 2012 兩岸力學科技論壇 2012 年 4 月 21-28 日. Introduction.

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Dynamic Simulation of Red Blood Cell Rheology in a U-shaped Microtube

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  1. Dynamic Simulation of Red Blood Cell Rheology in aU-shaped Microtube S.Y. Lin, Y.H. Chin, J.J. Hu, and A.J. Chung Department of Aeronautics and Astronautics National Cheng Kung University 2012 兩岸力學科技論壇 2012 年4 月21-28 日

  2. Introduction • 以彈性之彈簧模型模擬紅血球結構變化，紅血球將由球體變形成雙凹圓盤型形狀。並研究在不同形狀微血管之管流中紅血球變化的動態情形。

  3. 形狀Shape 呈中央雙凹圓盤狀 直徑(Diameter)： 6.0~9.5μm 厚度(Thickness)：中心1.0μm；周圍2.0μm 平均表面積(Average area)： 120 平均體積(Volume area)：87 紅血球Red Blood Cell • 圖解生理學 中野 昭一著 趙德彰 譯

  4. Spring Network Model of Elastic RBC Membrane K.I. Tsubota, and S. Wada ”, International Journal of Mechanical Sciences, 2010.

  5. Level 0 Level 1 Level 3 Level 4 Unstructured Triangular Mesh3Dlevel 0~3 sphere of the nodal positionsin the Cartesian coordinates. W.X. Huang, C.B. Chang, and H.J. Sung, Journal of Computational Physics, 2011.

  6. Level =21 Nodes =2402 Edges =7200 Areas =4800 Spring Network Model of Elastic RBC Membrane

  7. Spring Network Model of Elastic RBC Membrane

  8. Various Shape Changes of Red Blood Cells • Level =21; Nodes =2402; Edges =7200; Areas =4800

  9. Various Shape Changes of a Swollen Red Blood • t=0.1 • t=0.3 • t=0.5 • t=0.7 • t=1.0 • t=0

  10. Step 1: Predictor Step 2: a) First corrector b) Second corrector PISO Scheme

  11. NW N NE vi,j,k D C Ui,j,k ui-1,j,k W P E pi-1,j,k pj,k pi+1,j,k A B vi,j-1,k SW S SE Staggered Grids

  12. The Flow Induced Deformation of Red Blood Cells in the U Tube U Tube: • PISO Scheme, Stagger Grid • MI=80, MJ=80, MK=120 • Radius =5μm • Initial data: U=0, V=0, W=0, P=1, ρ=1 Red Blood Cell: • Level=9, Nodes=386, Edges=1152, Areas=768

  13. The Flow Induced Deformation of Red Blood Cells in the U Tube U Tube: • PISO Scheme, Stagger Grid • MI=80, MJ=80, MK=120 • Radius =5μm • Initial data: U=0, V=0, W=0, P=1, ρ=1 Red Blood Cell: • Level=9, Nodes=386, Edges=1152, Areas=768

  14. The Flow Induced Deformation of Red Blood Cells in the Y Tube Y Tube: • PISO Scheme, Stagger Grid • MI=160, MJ=80, MK=120 • Initial data: U=0, V=0, W=0, P=1, ρ=1 Red Blood Cell: • Level=9, Nodes=386, Edges=1152, Areas=768

  15. Thanks for your attention!

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