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Solution of large compartmental models using numerical transform inversion

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Publication:1097186
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DOI10.1007/BF02458858zbMath0634.92001WikidataQ52609792 ScholiaQ52609792MaRDI QIDQ1097186

Bruce A. Luxon

Publication date: 1987

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)


zbMATH Keywords

metabolismcompartmental modelsinversion algorithmbiochemistrynumerical inversion of the Laplace transformCompartmental models``stiff differential equationsbile acid transportGear's backward differentiation methodlinear coefficientsstiff test problems


Mathematics Subject Classification ID

Control/observation systems governed by ordinary differential equations (93C15) Large-scale systems (93A15) Computational methods for problems pertaining to biology (92-08) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)




Cites Work

  • Unnamed Item
  • Numerical inversion of the Laplace transform: a survey and comparison of methods
  • Numerical solution of ordinary differential equations
  • A User’s View of Solving Stiff Ordinary Differential Equations
  • Nineteen Dubious Ways to Compute the Exponential of a Matrix
  • Numerical inversion of Laplace transforms by weighted least-squares approximation


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