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analysis apply blood calculate characteristic equation chemical reactor classical linear co-workers compartment compartmental diagram compartmental system concentration Consider constraint defined delay element directed graph donor controlled eigenvalues EXAMPLE Figure flow rate F fraction frcm given gives impulse function impulse response initial conditions injected kinetics labelled Laplace transform linear compartmental mass flow rate mass/energy ndur nonlinear number of particles one-compartment system output access output equation output vertex oxygen parameters partment physical realisability piecewise-linear approximation Problem quantity rate coefficients rate constants reduced digraph respective shown in Fig sink solution steady-state step response structure subgraph Substituting system of Fig tank Theorem transit delay two-compartment system ub^sAs uniquely identifiable unit impulse values vertices Vl V2 volumetric flow rate waveforms xi(t Xl(t xx(t zero initial zero-state response