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A mathematical model of the systemic circulatory system with logistically defined nervous system regulatory mechanisms

机译:具有逻辑定义的神经系统调节机制的全身循环系统的数学模型

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A mathematical model is developed that accurately describes the pressure, volume and flow dynamics of the systemic circulatory system over the full physiological range of human pressures and volumes. At the heart of this model are mathematical representations for the autonomic and central nervous system reflexes which maintain arterial pressure, cardiac output and cerebral blood flow. These representations involve functions in which a maximum effect and a minimum effect are smoothly connected by a logistic transition. A new approach to modelling the pressure - volume relationship in a vessel with smooth muscle contraction is also presented. To test the model, simulations of cardiac arrest and various haemorrhagic situations were conducted, and predicted results were compared with clinical observations. Near-perfect agreement was obtained between predicted and observed values of the mean circulatory filling pressure, cardiac output and arterial pressure decay in the face of significant haemorrhage, and the critical values delineating progressive from non-progressive hypovolaemic shock.
机译:建立了数学模型,该模型可以准确描述人体压力和容积的整个生理范围内系统循环系统的压力,容积和流动动力学。该模型的核心是自主神经和中枢神经系统反射的数学表示,这些反射可维持动脉压,心输出量和脑血流量。这些表示涉及通过逻辑转换平滑地连接最大效果和最小效果的功能。还提出了一种模拟具有平滑肌收缩的血管中的压力-体积关系的新方法。为了测试该模型,进行了心脏骤停和各种出血情况的模拟,并将预测结果与临床观察结果进行了比较。面对重大出血时,平均循环充盈压,心输出量和动脉压衰减的预测值与观察值之间获得了近乎完美的一致性,而临界值则描绘了非进行性低血容量性休克的进展。

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