Dynamic Simulation of Red Blood Cell Rheology ina Ushaped 在一個(gè)U型的紅細(xì)胞流變性的動(dòng)態(tài)仿真

1、dynamic simulation of red blood cell rheology in au-shaped microtubes.y. lin, y.h. chin, j.j. hu, and a.j. chungdepartment of aeronautics and astronauticsnational cheng kung university2012 岸學(xué)科技?jí)?012 4 月21-28 日introductionl以彈性之彈簧模型模擬紅血球結(jié)構(gòu)變化，紅血球?qū)⒂汕蝮w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(dòng)態(tài)情形。紅血球紅血球red blood

2、celll形狀 shape呈中央雙凹圓盤狀直徑(diameter)： 6.09.5m 厚度(thickness)：中心1.0m ；周圍2.0m 平均表面積(average area) ： 120平均體積(volume area) ：87 2m3m圖解生理學(xué) 中野 昭一著 趙德彰 譯spring network model of elastic rbc membranel l exiiiiiiaabsvneeeeeaaaanillbbnillssffrcrmmotionofeqtherwfeweeeeevvvvkaaaakeaaaakekellkeell :.;)(2)(2)(2)2(tan2)

3、(20200102000200102120k.i. tsubota, and s. wada ”, international journal of mechanical sciences, 2010.llevel 0llevel 1llevel 3llevel 4w.x. huang, c.b. chang, and h.j. sung, journal of computational physics, 2011.cossinsinsincosrzryrxunstructured triangular mesh 3d level 03 sphere of the nodal positio

4、ns in the cartesian coordinates. spring network model of elastic rbc membranellevel =21 nodes =2402 edges =7200 areas =4800l 24311696/0 . 2/100 . 5/100 . 5100 . 5/105 . 2100 . 110265. 3mnkmnkmnkmnkmnkgmmrvaabs24311696/0 . 2/100 . 5/100 . 5100 . 5/105 . 2100 . 110265. 3mnkmnkmnkmnkmnkgmmrvaabsspring

5、network model of elastic rbc membranem92. 8m76. 7m35. 1m18. 2llevel =21; nodes =2402; edges =7200; areas =4800 various shape changes of red blood cells24311696/0 . 2/100 . 5/100 . 5100 . 1/100 . 1100 . 110265. 3mnkmnkmnkmnkmnkgmmrvaabs24311696/0 . 2/100 . 5/100 . 5100 . 1/105 . 2100 . 110265. 3mnkmn

6、kmnkmnkmnkgmmrvaabs24311696/0 .50/100 . 5/100 . 5100 . 1/100 . 1100 . 110265. 3mnkmnkmnkmnkmnkgmmrvaabsvarious shape changes of a swollen red bloodlt=0.1lt=0.3lt=0.5lt=0.7lt=1.0lt=0piso scheme l lstep 1: predictorlstep 2: a) first correctorlb) second corrector),(,)()()()()()()()()(032132212ffffwhere

7、fwpwvwuwwfvvwpvuvvfuuwuvpuuwvuizyxtzyxtzyxtzyx*,wvupwvunnnn) 0(,* uaskpwvu.), 0(,*eqmomentumsatisfyanduaskpwvu )()(t *iniiniifpuhuuiininiiiiinifpuupfpuhuut*i*2*tut t)()(staggered gridsl w p esw s senw n neui,j,kui-1,j,kvi,j,kvi,j-1,kabcdpj,kpi-1,j,kpi+1,j,k0 )( )( )(1, 1, 1,1, 1, 1,zwwyvvxuuzwyvxuco

8、ntinuityzppzpwmomentumzyppypvmomentumyxppxpumomentumxkjikjikjikjikjikjikjikjikjikjikjikjikjikjikjithe flow induced deformation of red blood cells in the u tubeu tube: lpiso scheme, stagger gridlmi=80, mj=80, mk=120lradius = 5mlinitial data: u=0, v=0, w=0, p=1, =1 red blood cell:llevel=9, nodes=386,

9、edges=1152, areas=768l 24311696/0 . 2/100 . 5/100 . 5100 . 5/105 . 2100 . 1;10265. 3mnkmnkmnkmnkmnkgmmrvaabsthe flow induced deformation of red blood cells in the u tubeu tube: lpiso scheme, stagger gridlmi=80, mj=80, mk=120lradius = 5mlinitial data: u=0, v=0, w=0, p=1, =1 red blood cell:llevel=9, nodes=386, edges=1152, areas=768l )/(/0 . 2/100 . 5/100 . 5100 . 5/105 . 2100 . 1;10265. 3224311696smkgnmnkmnkmnkmnkmnkgmmrvaabsthe flow induced deformation of red blood cells in the y tubey tube: lpiso scheme, stagger gridlmi=160, mj=80, mk=120l linitial data: u=0, v=0, w=0, p=1, =1 red b