## Biomedical Systems Analysis Via Compartmental Concept |

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### Contents

Compartmental systems | 1 |

Linear analysis | 4 |

Classes of structure | 117 |

Structural properties | 185 |

Problars | 274 |

Ncnlinear analysis | 364 |

Tracer kinetics | 399 |

Sensitivity analysis | 509 |

Stochastic analysis | 600 |

680 | |

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### Common terms and phrases

analysis applied arcs branch flow rate characteristic equation chemical reactor classical linear compartmental co-workers compartment compartmental diagram compartmental state equations concentration Consider constraint control gain defined delay element digraph of Fig directed graph donor controlled drug eigenvalues equilibrium example Figure first-order donor flow rate F flow-rate fouowing given gives impulse response initial conditions input and output input flow rate input-output differential equation kinetics Laplace transform linear compartmental system mass conservation mass conservation equations mass flow rate mass/energy molar conservation equations nonlinear one-compartment system output connectable output equations output vertex oxygen parameters partment physical realisability piecewise-linear Problem quantity radioactive rate coefficients rate constants reduced digraph respective satisfy Show shown in Fig sink solution steady-state step response strongly-connected components structure subgraph Substituting system of Fig tank tissue transit delay two-compartment system uniquely identifiable vertex vertices volumetric flow rate waveforms xi(t