## Mathematics for Biomedical Applications |

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2fco anti-derivative approaches approximate arbitrary constants bolus catheter central compartment Chapter coefficients complex number compute constant infusion cosine curve damping ratio define dependent derivative describe digits dose drug distribution eigenvalues equals zero equivalent evaluate example Figure filter fluid fluid-filled catheter following a bolus forcing function Fourier series Fourier transform frequency response fundamental solutions harmonics hence homogeneous solution impulse response independent variable initial conditions injection input integral Laplace transform linear differential equation linear transformation linearly independent magnitude mathematical nonlinear numerical methods obtain one-compartment ordinary differential equations ouabain output parameters particular solution periodic function phase Plot power spectrum pressure signal principle of superposition PROBLEM SET represents result roundoff error rule Runge-Kutta second-order shift shows sine sinusoid solve steady-state step response Substitute Taylor series theorem tion transfer function truncation error two-compartment unit impulse volume of distribution