Comparison of the mathematical modelling results of the relationship between cerebral ventricular size and capillary pressure based on experimental and clinical data

G. Valova, A. E. Akulov, O. Bogomyakova, A. A. Tulupov, A. A. Cherevko
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Abstract

Aim of the study was to compare the results of mathematical modelling of the dependence between brain ventricle size and capillary pressure for humans and animals based on the equations of multicomponent poroelastic filtration for brain parenchyma. Material and methods. The study included two groups of animals - 4 male mice of each inbred line C57Bl/6 and BALB/C at the age of 12 weeks – and 4 healthy volunteers. The brain and cerebrospinal fluid system images of mice were obtained using an 11.7 T horizontal MR scanner, group of humans were examined using the Ingenia 3.0 T MRI scanner. An axial section at the level of –0.5 mm from bregma in the mouse groups and a frontal slice at the level of the middle of the bodies of the lateral and third ventricles, posterior to the foramen of Monroe in the human group were chosen as the geometry for mathematical modelling. Mathematical modelling is based on the stationary mathematical model of multicomponent poroelastic filtration. Multiple linear regression of mean ventricular wall displacement on fluid media interaction parameters was constructed to compare results obtained. Regression coefficients were compared using nonparametric analysis of variance based on the Kraskell–Wallis criterion and post-hoc Dunn’s criterion with Hill’s correction Results. A qualitative coincidence in the behavior of capillary pressure and mean ventricular wall displacement was demonstrated for the human and mouse groups. No significant differences were found between the two animal lines. For the animals characterized by small ventricular size (BALB/c), greater similarity to humans is observed than for the genetic line with hypertrophied ventricles (C57Bl/6). A significant difference between humans and mice is observed only for capillary-venous interaction. Conclusions. The low variance within groups and insignificant discrepancy between groups indicate the possibility of further accumulation of empirical data to establish correction coefficients of the animal model, which will bring it more in line with the model for humans. Thus, the analyzed models are sufficiently comparable with each other.
基于实验和临床数据的脑室大小与毛细血管压力之间关系的数学建模结果比较
本研究的目的是根据脑实质多组分孔弹性过滤方程,比较人和动物脑室大小与毛细血管压力之间关系的数学建模结果。材料和方法。研究包括两组动物--12 周龄的 C57Bl/6 和 BALB/C 近交系雄性小鼠各 4 只--以及 4 名健康志愿者。小鼠的大脑和脑脊液系统图像使用 11.7 T 水平 MRI 扫描仪获得,人类组使用 Ingenia 3.0 T MRI 扫描仪进行检查。小鼠组选择了距前囟-0.5 毫米处的轴切面,人类组则选择了侧脑室和第三脑室体中部水平、门罗孔后方的额切面,作为数学建模的几何图形。数学建模基于多组分孔弹性过滤的静态数学模型。对平均心室壁位移与流体介质相互作用参数进行多元线性回归,以比较所获得的结果。使用基于 Kraskell-Wallis 准则的非参数方差分析和希尔校正的事后邓恩准则对回归系数进行比较。人类组和小鼠组的毛细血管压力和平均心室壁位移的行为在本质上是一致的。两种动物之间没有发现明显差异。与心室肥大的遗传品系(C57Bl/6)相比,心室小的遗传品系(BALB/c)与人类的相似性更高。只有在毛细血管-静脉相互作用方面,人类与小鼠之间存在明显差异。结论。组内差异较小,组间差异不明显,这表明有可能进一步积累经验数据,以确定动物模型的校正系数,从而使其与人类模型更加一致。因此,所分析的模型之间具有充分的可比性。
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