Optimal modeling of an arterial system

DOI10.1016/0025-5564(82)90128-6zbMath0488.92011OpenAlexW2143109526MaRDI QIDQ1166457

Nestor Distefano, Estela S. de Llinas

Publication date: 1982

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(82)90128-6

zbMATH Keywords

nonlinear modelscross sectionwave speedVolterra integralnonlinear hyperbolic partial differential equationsLax-Wendroff schemeaortic blood flowarterial taperGauss-Newton techniqueoptimal modeling of arterial system

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) System identification (93B30) Finite difference methods for boundary value problems involving PDEs (65N06) Discrete approximations in optimal control (49M25) Physiological, cellular and medical topics (92Cxx)

Cites Work

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• Distortion of the arterial pulse
• Nonlinear processes in engineering. Dynamic programming. Invariant imbedding. Quasilinearization. Finite elements. System identification. Optimization
• Critical Reynolds number for a spherical particle in plane Couette flow
• Numerical solution of quasi-conservative hyperbolic systems - the cylindrical shock problem
• On the one-dimensional theory of blood flow in the larger vessels
• An Algorithm for Least-Squares Estimation of Nonlinear Parameters
• Some Numerical Aspects in the Identification of a Class of Nonlinear Viscoelastic Materials

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