Mathematical representation of the proposed microfluidic device using a discrete fluidic circuit model. The fluidic circuit was developed using fluidic resistances (Ra, Rb, Rc, Rd), membrane compliance (Cf) owing to the half-circular chamber, and flow rates (QBlood, QPBS). To evaluate the effect of membrane compliance on the flow stabilization, the flow rate of blood was periodically delivered into the microfluidic device as QBlood = Qα + Qβ sin (2πt/T). Here, T indicates the period of blood flow rate. However, the PBS solution was supplied at a constant flow rate as QPBS.