Draw a block diagram to represent the ODE derived in a. where Pa is the input and Pd is the output.

In the figure, R., and R„, denote the flow resistances of the stenosis and the microcirculation, respectively. Cm denotes the compliance of the microcirculation. Pa and Pd denote the aortic pressure and the distal pressure from the stenosis, respectively. The terminal pressure Po is assumed to be zero. Qin denotes the inlet blood flowrate to the artery.

a. If C,n = 0 , Apply Kirchhoff s laws to the LPM circuit and derive the ODE relationship between Pa and P.

b. Draw a block diagram to represent the ODE derived in a. where Pa is the input and Pd is the output.

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