Properties of the transfer functions of compartmental models. II

DOI10.1016/0025-5564(85)90102-6zbMath0585.92002OpenAlexW1983841857MaRDI QIDQ1071668

Joseph G. McWilliams, David H. Anderson

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0025-5564(85)90102-6

zbMATH Keywords

JacobianNewton's methodsimplex methodexistence theorem for positive solutionsnonlinear system of algebraic equationstransfer function of a linear time-invariant compartmental model

Mathematics Subject Classification ID

System identification (93B30) Linear systems in control theory (93C05) Control/observation systems governed by ordinary differential equations (93C15) General biology and biomathematics (92B05) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Model systems in control theory (93C99)

Related Items (3)

A simple solution to the compartmental structural-identifiability problem ⋮ First-order chemical reaction networks. I: Theoretical considerations ⋮ The unilateral circulation compartmental model

Cites Work

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• Properties of the transfer functions of compartmental models
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• Identifiability results on some constrained compartmental systems
• Sandwich method for finding fixed points
• Extensions of Lemke's algorithm for the linear complementarity problem
• On the structural identifiability of biological compartmental systems in a general input-output configuration
• Spectral localization of operators in Banach spaces
• Identifiability of linear and nonlinear dynamical systems
• Homotopies for computation of fixed points
• The Numerical Solution of a Nonlinear System Arising in Time Series Analysis
• The Approximation of Fixed Points of a Continuous Mapping

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