Fowler A C, McGuinness M J
Mathematical Institute, University of Oxford, 24-29 St. Giles', OX1 3LB, United Kingdom.
J Math Biol. 2005 Nov;51(5):508-26. doi: 10.1007/s00285-005-0339-1. Epub 2005 Jul 13.
We develop a nonlinear delay-differential equation for the human cardiovascular control system, and use it to explore blood pressure and heart rate variability under short-term baroreflex control. The model incorporates an intrinsically stable heart rate in the absence of nervous control, and allows us to compare the baroreflex influence on heart rate and peripheral resistance. Analytical simplifications of the model allow a general investigation of the rôles played by gain and delay, and the effects of ageing.
我们为人体心血管控制系统建立了一个非线性延迟微分方程,并用它来探究短期压力反射控制下的血压和心率变异性。该模型纳入了在没有神经控制时内在稳定的心率,并使我们能够比较压力反射对心率和外周阻力的影响。对该模型的解析简化使得能够对增益和延迟所起的作用以及衰老的影响进行一般性研究。