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Abstract: Many problems in bioscience for which observations are reported in the literature can be modelled by suitable functional differential equations incorporating a delay, parameterized by parameters p1 ,p2 ,: : :,pL . Given such observations (which usually contain error or `noise'), we may determine the parameters fp i g by fitting the model equations to the data and optimizing a measure of best fit. Our aim in this paper is to produce a new method to estimate (i) the sensitivity of the state... (Update)
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BibTeX entry: (Update)
C.T.H. Baker and F.A. Rihan, Sensitivity analysis of parameters in modelling with delay-differential equation, MCCM Tech. Rep., 349 ISSN 1360-1725, Univerity of Manchester (1999). http://citeseer.ist.psu.edu/baker00sensitivity.html More
@techreport{ baker99sensitivity,
author = "Christopher T. H. Baker and Fathalla A. Rihan",
title = "Sensitivity Analysis of Parameters in Modelling With Delay-Differential Equations",
number = "No. 349",
address = "Manchester, England",
pages = "22",
year = "1999",
url = "citeseer.ist.psu.edu/baker00sensitivity.html" }
Citations (may not include all citations):95 Kronecker Products and Matrix Calculus in System Theory (context) - Brewer - 1978
63 Nonlinear Regression Analysis and its Applications (context) - Bates, Watts - 1988
59 Nonlinear Parameter Estimation (context) - Bard - 1974
33 Family of embedded Runge-Kutta formulae (context) - Dormand, Prince - 1980
26 Issues in the Numerical Solution of Evolutionary Delay Diffe.. - Baker, Paul et al. - 1995
14 Runge-Kutta Methods for Functional Differential Equations (context) - Paul - 1992
12 Explicit Runge-Kutta Methods for Numerical Solution of Singu.. - Paul, Baker - 1992
12 Mathematical Model of Antiviral Immune-Response (context) - Marchuk, Romanyukha et al. - 1991
11 Software for Numerical Solution of Systems of Functional Dif.. (context) - Neves, Thompson - 1992
10 Automatic Integration of Functional Differential Equations: .. (context) - Neves - 1975
10 Pitfalls in Parameter Estimation for Delay Differential Equa.. - Baker, Paul - 1997
10 Numerical Treatment of Delay Differential Equations by Hermi.. (context) - Oberle, Pesch - 1981
10 A User-Guide to Archi - An Explicit Runge-Kutta Code for Sol.. - Paul - 1997
9 Nonlinear Regression Modeling (context) - Ratkowsky - 1983
9 Mathematical Model of Antiviral Immune-Response-III - Influe.. (context) - Bocharov, Romanyukha - 1994
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