Chinese Journal of Tissue Engineering Research ›› 2014, Vol. 18 ›› Issue (27): 4345-4354.doi: 10.3969/j.issn.2095-4344.2014.27.014
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Liu Bo1, Xie Peng2, Li Zhi-wei1
Online:
2014-06-30
Published:
2014-06-30
Contact:
Li Zhi-wei, Chief physician, Professor, Department of Neurology, Yongchuan Hospital, Chongqing Medical University, Chongqing 402160, China
About author:
Liu Bo, Studying for doctorate, Attending physician, Department of Neurology, Yongchuan Hospital, Chongqing Medical University, Chongqing 402160, China
Supported by:
the Natural Science Foundation of Yongchuan District of Chongqing City, No. Ycstc, 2013nc8031; the Foundation of Chongqing Municipal Health Bureau, No. 2010-2-250; the Soft Science Foundation of Yongchuan District of Chongqing City, No. Ycstc, 2011BE5004.
CLC Number:
Liu Bo, Xie Peng, Li Zhi-wei. Mechanical embolectomy using Penumbra system for acute cerebral embolism: model establishment and finite element analysis in one case[J]. Chinese Journal of Tissue Engineering Research, 2014, 18(27): 4345-4354.
2.1 Penumbra机械取栓的18个流固耦合模型的网格数量和计算耗时 每个流固耦合模型包括4部分,即血液、血管壁、血栓、吸栓导管。由于18个流固耦合模型具有相同的血管壁,故划分的血管壁网格数量均为61 198个。“由近及远吸栓法”的6个模型具有相同的完整的血栓模型,其血栓网格数量均为6 563个;而“由远及近吸栓法”的12个模型亦具有相同的血栓模型,但由于血栓被吸栓导管戳了个洞,网格数量减少,其血栓网格数量均为4 536个。由于18个模型具有相同的血管内腔,意味着吸栓导管深入模型越多,血液的体积将越少。因此,“由近及远吸栓法”的6个模型从4 mm组至0 mm组吸栓导管网格数量逐渐增多,从3 895个增至4 965个,而血液网格数量逐渐减少,从153 443个减至152 373个;同样,“由远及近吸栓法”的12个模型从-3 mm组至4 mm组吸栓导管网格数量逐渐减,从5 821个减至 3 895个,而血液网格数量逐渐增多,从151 719个增至 153 647个。18个模型总的计算耗时相当,为36-45 min (表1)。"
2.2 Penumbra机械取栓的18个流固耦合模型的计算结果总体情况 由于颈内动脉的灌注压和血流速度随着心跳周期性变化着,故每个流固耦合模型入出口边界条件也周期性变化着。在心动周期每个时刻血液流线图、血液压力降图、血管壁和血栓壁面切应力图、血管壁和血栓变形情况分布图的ANSYS染色均无明显变化,只是色彩代表的值随时在变(图3-5)。因此,在每个模型任选一时刻的ANSYS染色图均能代表该模型各时刻对应分布图的整体情况。 2.3 Penumbra机械取栓的18个流固耦合模型的血液流动情况 患者心率为75次/min,故每个心动周期为0.8 s,设患者左侧颈内动脉C5段灌注压某最低值(8 kPa)处为0 s,下一个最低值处时间应为0.8 s。观察两种吸栓方法的每个模型在0-0.8 s的整个心动周期各时刻血液流线图发现:①在“由近及远吸栓法”的4 mm模型中在吸栓导管抽吸前,闭塞大脑中动脉近端无血液流动,血流仅流向大脑中动脉分支,当吸栓导管使用-70 kPa抽吸时,大量血液通过血管残端流入吸栓导管,在2 mm,1 mm,0.5 mm,0.25 mm模型中有与之相同的表现;在“由近及远吸栓法”的0 mm模型中吸栓导管已直接接触血栓,血管残端和吸栓导管内无血液流动(图3A)。②在“由远及近吸栓法”的0 mm,-0.5 mm,-1 mm,-1.5 mm,-2 mm,-2.5 mm,-3 mm模型中血管残端无血液流动,吸栓导管有少许血流,血流来自闭塞远端血管,在0.25 mm模型中有少许血液通过血管残端流向远端血管,另大量血液通过残端流入吸栓导管;在“由远及近吸栓法”的4 mm,2 mm,1 mm,0.5 mm模型中既有大量血液流入吸栓导管,又有较多血液流向远端血管(图3B)。 测量两种吸栓方法的每个模型吸栓导管内血流速度发现:①如图3C所示,在“由近及远吸栓法”的4 mm,2 mm,1 mm,0.5 mm,0.25 mm模型中吸栓导管内血流速度随心跳周期性变化着,在0 s,0.8 s处位于最低值,在0.2 s时均达最大值,其值依次为563 cm/s,545 cm/s,522 cm/s,482 cm/s,387 cm/s;但0 mm模型导管内血流速度不随时间变化,始终为0 cm/s。②如图3D所示,在“由远及近吸栓法”的0 mm,-0.5 mm,-1 mm,-1.5 mm,-2 mm,-2.5 mm,-3 mm模型导管内血流速度不随时间变化,始终为4-6 cm/s;在4 mm,2 mm,1 mm,0.5 mm,0.25 mm 模型中吸栓导管内血流速度也随心跳周期性变化着,在0 s,0.8 s处均位于最低值,在0.2 s时均达最大值,其值依次为511 cm/s,496 cm/s,468 cm/s,434 cm/s,337 cm/s。假定在0.2 s时刻的血管状态下分别使用两种方法实施取栓,如图3E所示,“由近及远吸栓法” 的吸栓导管随着慢慢靠近血栓,其管腔内血液流速逐渐降低,直至停止。“由远及近吸栓法” 的吸栓导管送入到血栓远端后,边退边吸,开始导管内有少许血流,血流较慢,当导管退到0 mm处后,其管腔内血流速度逐渐增高。在4-0.25 mm的5个模型中比较两种吸栓方法的导管内血流速度最大值,统计方法采用配对t检验,结果提示差异有显著性意义(P < 0.01,表2),显示在4-0.25 mm范围内“由近及远吸栓法” 导管内血流速度最大值较“由远及近吸栓法”更大。 2.4 Penumbra机械取栓的18个流固耦合模型的血流压力降分布情况 如图4所示,观察每个模型在心动周期不同时刻血液压力降分布情况发现:①“由近及远吸栓法”的各模型大脑中动脉血管残端腔内压力均较高,接近于颈内动脉;吸栓导管颅内段腔内压力为-40-50 kPa,而血液压力陡然下降的部位为吸栓导管开口。②“由远及近吸栓法” 的各模型大脑中动脉血管残端腔内压力也接近于颈内动脉,但吸栓导管位于-3-0 mm时,导管腔内压力很低,接近-70 kPa,当导管退回到大脑中动脉血管残端腔内时,导管内压力有所上升,远端血管血压亦有所上升,但血液压力下降最迅速的部位仍为吸栓导管开口。 2.5 Penumbra机械取栓的18个流固耦合模型的血管壁和血栓壁面切应力分布 2.5.1 左侧大脑中动脉血管壁壁面切应力分布 观察18个流固耦合模型的血管壁壁面切应力分布图发现,每个模型左侧大脑中动脉血管壁壁面切应力均不高,其值为 1-60 Pa(图4B,C,D)。其中“由近及远吸栓法”0.25 mm模型在0.2 s时血栓近端附近的血管壁的H点局部达最大值(图4B);“由远及近吸栓法”0.25 mm模型在0.2 s时血栓近端附近的血管壁的J点局部达最大值(图4D),该吸栓法的0至-3 mm模型血栓远端血管管壁壁面切应力极低,为 1-5 Pa(图4C下图)。由于两种吸栓法的0.25 mm模型均计算了5个周期,H点和J点每个周期均在0.2 s时达局部最大值,计算5个周期H点和J点最大值的均值,比较2个模型均值之间差异,经过t 检验提示差异有显著性意义(P < 0.01,表2),显示J点最大值高于H点最大值。 2.5.2 血栓壁面切应力分布 观察18个流固耦合模型的血栓壁面切应力分布图发现,其值范围较大,为1-420 Pa (图4B,D)。在“由近及远吸栓法”的4 mm,2 mm,1 mm,0 mm模型中血栓壁面切应力较小,整体小于10 Pa,但在0.5 mm,0.25 mm模型中血栓壁面切应力明显增高,甚至高于400 Pa,其中0.25 mm模型在0.2 s时在I点达到局部最大值(图4B)。在“由远及近吸栓法”的4-1 mm,0至-3 mm模型中血栓壁面切应力也较小,整体也小于10 Pa, 在 0.5 mm,0.25 mm模型中血栓壁面切应力也明显增高,其中0.25 mm模型在0.2 s时在K点达到局部最大值(图4D)。由于两种吸栓法的0.25 mm模型均计算了5个周期,I点和K点每个周期均在0.2 s时达局部最大值,计算5个周期I点和K点最大值的均值,比较2个模型均值之间差异,经过t检验提示差异有显著性意义(P < 0.01),见表2,显示I点最大值明显高于K点最大值。 "
2.6 Penumbra机械取栓的18个流固耦合模型的血管壁和血栓变形情况 2.6.1 左侧大脑中动脉残端血管壁变形情况 观察每个模型整个心动周期左侧大脑中动脉残端管壁变形图,每个模型均在0.22 s时刻管壁变形量最大。比较每个模型在0.22 s时刻的左侧大脑中动脉残端管壁变形量最大值发现:①在“由近及远吸栓法”的4-0 mm模型残端管壁变形量最大值均较小,不超过1.5 mm(图5A左图);在“由远及近吸栓法”的4-0.25 mm模型残端管壁变形量最大值也较小,而在-3-0 mm模型中血栓远端的血管壁变形量较大(图5A右图的R点)。②其中“由近及远吸栓法”的0.25 mm模型在0.22 s时局部最大值是该方法所有模型的管壁变形量最大值;“由远及近吸栓法”的-2 mm模型在0.22 s时血栓远端的血管壁变形量是本法所有模型的管壁变形量最大值;这两个最大值均计算了5个周期,分别取均值,两最大值的均值之间经过t检验提示差异有显著性意义(P < 0.01) (表2),显示“由远及近吸栓法”的血管壁变形量明显大于“由近及远吸栓法”。 2.6.2 血栓变形情况 观察每个模型整个心动周期血栓变形图,每个模型血栓变形量受心跳影响较小,整个心动周期其值几乎不变。如图5B图所示,“由近及远吸栓法”的4-0.25 mm模型血栓变形量较小,小于1.0 mm,在0 mm 模型达最大值,最大值位于血栓近心段M点附近(图5A);“由远及近吸栓法”的4-0.25 mm,-1.5至-3 mm模型血栓变形量也较小,小于1.0 mm,但在0 mm,-0.5 mm,-1 mm模型血栓变形量值均较大,其中-1 mm模型达本法的最大值,最大值位于血栓远心段N点附近(图5A)。比较两种吸栓方法所得血栓变形量最大值,均计算了5个周期,分别取均值,两最大值的均值之间经过t检验提示差异有显著性意义(P < 0.05),见表2,显示“由远及近吸栓法”的血栓变形量明显大于“由近及远吸栓法”。 "
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