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Meshkat, Nicolette; Sullivant, Seth; Eisenberg, Marisa Identifiability results for several classes of linear compartment models. (English) Zbl 1336.92004 Bull. Math. Biol. 77, No. 8, 1620-1651 (2015). MSC: 92B05 PDF BibTeX XML Cite \textit{N. Meshkat} et al., Bull. Math. Biol. 77, No. 8, 1620--1651 (2015; Zbl 1336.92004) Full Text: DOI arXiv Link OpenURL
El Kahlaoui, O.; Rachik, M.; Yousfi, N.; Laklahech, M.; Idrissi Kacemi, O. On the analysis of a biological system: compartment model approach. (English) Zbl 1143.92309 Appl. Math. Sci., Ruse 1, No. 41-44, 2001-2022 (2007). MSC: 92C30 49N90 93B05 93A30 PDF BibTeX XML Cite \textit{O. El Kahlaoui} et al., Appl. Math. Sci., Ruse 1, No. 41--44, 2001--2022 (2007; Zbl 1143.92309) OpenURL
Ogden, R. Todd; Tarpey, Thaddeus Estimation in regression models with externally estimated parameters. (English) Zbl 1169.62384 Biostatistics 7, No. 1, 115-129 (2006). MSC: 62P10 62N02 62F40 62J99 PDF BibTeX XML Cite \textit{R. T. Ogden} and \textit{T. Tarpey}, Biostatistics 7, No. 1, 115--129 (2006; Zbl 1169.62384) Full Text: DOI OpenURL
Hamasaki, Toshimitsu; Goto, Masashi Power-transformation model to additivity in regression. (English) Zbl 1081.62044 Behaviormetrika 32, No. 2, 111-125 (2005). MSC: 62J02 62F10 62J05 PDF BibTeX XML Cite \textit{T. Hamasaki} and \textit{M. Goto}, Behaviormetrika 32, No. 2, 111--125 (2005; Zbl 1081.62044) Full Text: DOI OpenURL
Selinski, Silvia Bayes estimation of toxicokinetic parameters in a four-stage hierarchical model. (English) Zbl 1002.62085 Dortmund: Univ. Dortmund, Department of Statistics, 207 p. (2001). MSC: 62P10 62F15 PDF BibTeX XML Cite \textit{S. Selinski}, Bayes estimation of toxicokinetic parameters in a four-stage hierarchical model. Dortmund: Univ. Dortmund, Department of Statistics (2001; Zbl 1002.62085) OpenURL
Kundu, Debasis; Mitra, Amit Estimating the parameters of the linear compartment model. (English) Zbl 0938.62060 J. Stat. Plann. Inference 70, No. 2, 317-334 (1998). MSC: 62H12 62J05 65D10 93E10 62F25 PDF BibTeX XML Cite \textit{D. Kundu} and \textit{A. Mitra}, J. Stat. Plann. Inference 70, No. 2, 317--334 (1998; Zbl 0938.62060) Full Text: DOI OpenURL
Feng, Dagan; DiStefano, Joseph J. III An algorithm for identifiable parameters and parameter bounds for a class of cascaded mammillary models. (English) Zbl 0827.92014 Math. Biosci. 129, No. 1, 67-93 (1995). MSC: 92C45 93B30 92B05 93A30 PDF BibTeX XML Cite \textit{D. Feng} and \textit{J. J. DiStefano III}, Math. Biosci. 129, No. 1, 67--93 (1995; Zbl 0827.92014) Full Text: DOI OpenURL
Mahaffy, Joseph M.; Jorgensen, David A.; Vanderheyden, Robert L. Stability results for a model of repression with external control. (English) Zbl 0779.92009 Q. Appl. Math. 50, No. 3, 415-435 (1992). Reviewer: S.Curteanu (Iaşi) MSC: 92C40 93C95 93C20 PDF BibTeX XML Cite \textit{J. M. Mahaffy} et al., Q. Appl. Math. 50, No. 3, 415--435 (1992; Zbl 0779.92009) Full Text: DOI OpenURL
Gonin, René; Money, Arthur H. Nonlinear \(L_ p\)-norm estimation. (English) Zbl 0701.62073 Statistics: Textbooks and Monographs, 100. New York etc.: Marcel Dekker, Inc. viii, 300 p. $ 119.50 (1989). Reviewer: H.Nyquist MSC: 62J02 65C99 62-02 62-04 PDF BibTeX XML Cite \textit{R. Gonin} and \textit{A. H. Money}, Nonlinear \(L_ p\)-norm estimation. New York etc.: Marcel Dekker, Inc. (1989; Zbl 0701.62073) OpenURL
Sorek, Shaul; Bear, Jacob; Karni, Zvi Intracranial compartmental pulse-wave simulation. (English) Zbl 0641.92006 Math. Biosci. 89, No. 2, 149-159 (1988). MSC: 92Cxx 92-08 76Z05 65C20 PDF BibTeX XML Cite \textit{S. Sorek} et al., Math. Biosci. 89, No. 2, 149--159 (1988; Zbl 0641.92006) Full Text: DOI OpenURL
Bates, Douglas M.; Watts, Donald G. Nonlinear regression analysis and its applications. (English) Zbl 0728.62062 Wiley Series in Probability and Mathematical Statistics. New York etc.: John Wiley & Sons. xiv, 365 p. (1988). MSC: 62J02 62-01 PDF BibTeX XML Cite \textit{D. M. Bates} and \textit{D. G. Watts}, Nonlinear regression analysis and its applications. New York etc.: John Wiley \&| Sons (1988; Zbl 0728.62062) OpenURL
Zou, Saide The difference-quotient-\(\alpha\) ’ method for the initial estimation and initial value calculation of compartment models. (Chinese. English summary) Zbl 0633.92003 J. Biomath. 2, 119-127 (1987). MSC: 92C50 92-08 93B40 93B30 93C05 93C20 92Cxx 93C30 PDF BibTeX XML Cite \textit{S. Zou}, J. Biomath. 2, 119--127 (1987; Zbl 0633.92003) OpenURL
Nguyen Phong Chau Linear n-compartment catenary models: Formulas to describe tracer amount in any compartment and identification of parameters from a concentration- time curve. (English) Zbl 0573.93008 Math. Biosci. 76, 185-206 (1985). MSC: 93B30 92Cxx 93C05 34A55 93C15 PDF BibTeX XML Cite \textit{Nguyen Phong Chau}, Math. Biosci. 76, 185--206 (1985; Zbl 0573.93008) Full Text: DOI OpenURL
Nathanson, Michael H.; Saidel, Gerald M.; McLaren, Gordon D. Analysis of iron kinetics: Identifiability, experiment design, and deterministic interpretations of a stochastic model. (English) Zbl 0552.92009 Math. Biosci. 68, 1-21 (1984). Reviewer: J.Tóth MSC: 92Cxx 62P10 93B30 62K05 34A55 PDF BibTeX XML Cite \textit{M. H. Nathanson} et al., Math. Biosci. 68, 1--21 (1984; Zbl 0552.92009) Full Text: DOI OpenURL
Cherruault, Y.; Guerret, M. Parameters identification and optimal control in pharmacokinetics. (English) Zbl 0559.93022 Acta Appl. Math. 1, 121-150 (1983). Reviewer: S.Merrill MSC: 93B30 92Cxx 93C05 93B40 PDF BibTeX XML Cite \textit{Y. Cherruault} and \textit{M. Guerret}, Acta Appl. Math. 1, 121--150 (1983; Zbl 0559.93022) Full Text: DOI OpenURL
Plusquellec, Y.; Steimer, J. L.; Boisvieux, J. F. Can compartment models account for nonmonotonicity in pharmacokinetics? (English) Zbl 0501.92010 Math. Biosci. 58, 19-25 (1982). MSC: 92Cxx 93D25 93C05 PDF BibTeX XML Cite \textit{Y. Plusquellec} et al., Math. Biosci. 58, 19--25 (1982; Zbl 0501.92010) Full Text: DOI OpenURL
Kalaba, R. E.; Spingarn, K. Optimal inputs for blood glucose regulation parameter estimation. III. (English) Zbl 0452.92011 J. Optimization Theory Appl. 33, 267-285 (1981). MSC: 92Cxx 62P10 90C31 49M15 49M29 PDF BibTeX XML Cite \textit{R. E. Kalaba} and \textit{K. Spingarn}, J. Optim. Theory Appl. 33, 267--285 (1981; Zbl 0452.92011) Full Text: DOI OpenURL
Bailey, Norman T. J.; Duppenthaler, J. Sensitivity analysis in the modelling of infectious disease dynamics. (English) Zbl 0452.92023 J. Math. Biol. 10, 113-131 (1980). MSC: 92D25 90C31 34A30 65C20 PDF BibTeX XML Cite \textit{N. T. J. Bailey} and \textit{J. Duppenthaler}, J. Math. Biol. 10, 113--131 (1980; Zbl 0452.92023) Full Text: DOI OpenURL
Steyn, H. S. Fitting linear combinations of exponential decays by using Fourier analysis. (English) Zbl 0438.65021 Computational statistics, Proc. 4th Symp., Edinburgh 1980, 615-621 (1980). MSC: 65D10 65T40 65C99 62M05 62J02 PDF BibTeX XML OpenURL