Mathematical Models


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Mathematical Models
10101031030700Mathematical ModelsIn this chapter we present a method for modeling causal, continuous-time, finite-dimensional, dynamic systems. A mathematical model, corresponding to two conceptual models in the form of component diagrams, is derived based on component descriptions and natural or empirical laws. The state variable representation, in its most general formulation, captures the behavior of SISO and MIMO systems, and of static and dynamic, linear and nonlinear, and time-invariant and time-variant systems. Numerical integration and simulation of state variable models is straightforward, and state variable models can be derived from conceptual models of biomedical sys…
Citation
Willem van Meurs, Ph.D.,: Modeling and Simulation in Biomedical Engineering: Applications in Cardiorespiratory Physiology. Mathematical Models, Chapter (McGraw-Hill Professional, 2011), AccessEngineering Export