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脑脊液系统在颅内高压动力学中作用的数学模型 被引量:4

Role of cerebrospinal fluid system in dynamics of intraeranial hypertension: a mathematical model
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摘要 目的观察兔急性颅内压增高(increased intracranial pressure,iICP)与脑脊液流出阻力(outflow resistance,Ro)和颅内顺应性(intracranial compliance,IC)的关系,建立iICP与Ro和IC之间关系的数学模型。探讨以Ro及IC作为模型参数时模拟颅内压的准确性和临床应用价值。方法兔侧脑室插管,分别向侧脑室内注入0.1,0.2,0,3,0.4,0.5ml的等渗盐水,记录每一次颅内压随注入容积和时间变化的数值。以所得数据建立iICP与IC和Ro关系的数学模型。结果兔急性iICP时Ro模拟方程式为:R=Rot/PVI log[Po)/Pp×(Pp-Ro)/(P(t)-Ro)],兔急性iICP时IC模拟方程式为:C=I/KP=0.4343(PVI)/P,综合两参数所决定的颅内压的方程为:P(t)=Ro exp(3.2383△V)/|exp(3.2383△V)+[(1-exp(3.2383△V)]exp(-3.2383/514.148Ro t)|。结论数学模型较好地模拟了兔急性iICP时Ro和IC与颅内压的关系,提示Ro和IC可选择作为颅内高压动力学数学模型的重要参数,并有助于探讨急性iICP的病理生理过程及其容积代偿机制。 Objective To analyze the relationship of increased intracranial pressure (iICP) with cerebrospinal fluid outflow resistance Ro and intracranial compliance ( IC ) to set up a mathematical model so as to evaluate the accuracy and clinical value of the model with Ro and IC as parameters. Methods Establish the model of acute intracranial hypertension by infusing fluid into the lateral cerebral ventricle in rabbits while ICP was monitored by a pressure gauge. The data was took advantage to design a equation for analyzing the relationship of ilCP with IC and Ro. Results When intracranial pressure increased, the simulation formula of intracranial compliance was C = 1/KP = 0. 4343 ( PVI )/P when ICP increased. The simulation formula of CSF outflow resistance was P( t ) = Ro exp (3. 2383 △V )/|exp (3. 2383AV ) + [1 -exp(3.2383△V) )exp ( -3. 2383/514. 148 Ro t)|. Conclusions The model can better simulate relationship of cerebrospinal fluid outflow resistance, intracranial compliance and increased ICP. The intracranial compliance and CSF outflow resistance are important parameters of the mathematical model of intracranial hypertension dynamics.
出处 《中华创伤杂志》 CAS CSCD 北大核心 2007年第5期377-380,共4页 Chinese Journal of Trauma
基金 国家自然科学基金资助项目(30471770)
关键词 颅内高压 脑脊髓液 非线性动力学 顺应性 Intracranial hypertension Cerebrospinal fluid Nonlinear dynamics Compliance
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参考文献10

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二级参考文献8

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