Smye S W, Bloor M I
Department of Medical Physics, St. James's University Hospital, Leeds, UK.
Med Biol Eng Comput. 1995 Mar;33(2):185-9. doi: 10.1007/BF02523039.
A mathematical model of reactive hyperaemia has been developed, in which the limb vascular system is represented by an elastic porous tube, with flow in the tube equivalent to blood flow in the arteries and large arterioles. Flow through the porous walls represents flow into the small arterioles, which respond actively by contracting as pressure throughout the system rises following occlusion release. A variety of vascular pathologies have been simulated; the effect of venous packing of the limb is to reduce the transient peak flow from normal, owing to a reduction in the pressure gradient. Occlusive disease of the femoral artery and lower arterial vessels reduces the magnitude and extends the duration of hyperaemic flow, due to a reduced pressure gradient and increased resistance. Small vessel disease reduces the hyperaemic flow, principally due to a reduction in the initial dilation of the vessels. Venous disease does not affect the initial arterial flow following occlusion release but reduces the equilibrium flow. The venous outflow increases in response to an increase in the arterio-venous pressure gradient.
已经建立了一个反应性充血的数学模型，其中肢体血管系统由弹性多孔管表示，管内的流动相当于动脉和大动脉中的血流。通过多孔壁的流动代表流入小动脉的血流，随着阻塞解除后整个系统压力升高，小动脉会通过收缩做出积极反应。已经模拟了多种血管病变；肢体静脉受压的影响是由于压力梯度降低，使瞬态峰值血流比正常情况减少。股动脉和下肢动脉血管的闭塞性疾病会降低充血血流的幅度并延长其持续时间，这是由于压力梯度降低和阻力增加所致。小血管疾病主要由于血管初始扩张的减少而降低充血血流。静脉疾病不影响阻塞解除后的初始动脉血流，但会降低平衡血流。静脉流出量会随着动静脉压力梯度的增加而增加。
