2009
DOI: 10.1186/1752-0509-3-50
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Systematic identifiability testing for unambiguous mechanistic modeling – application to JAK-STAT, MAP kinase, and NF-κ B signaling pathway models

Abstract: Background: When creating mechanistic mathematical models for biological signaling processes it is tempting to include as many known biochemical interactions into one large model as possible. For the JAK-STAT, MAP kinase, and NF-κB pathways a lot of biological insight is available, and as a consequence, large mathematical models have emerged. For large models the question arises whether unknown model parameters can uniquely be determined by parameter estimation from measured data. Systematic approaches to answ… Show more

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Cited by 101 publications
(119 citation statements)
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“…As remedy for this problem methods to increase the identifiability of model parameters and to deal with unsure parameters have been developed (e.g. [35][36][37]89]). …”
Section: Quantitative Analyses Of Il-6-induced Signalingmentioning
confidence: 99%
“…As remedy for this problem methods to increase the identifiability of model parameters and to deal with unsure parameters have been developed (e.g. [35][36][37]89]). …”
Section: Quantitative Analyses Of Il-6-induced Signalingmentioning
confidence: 99%
“…Many different approaches to the problem exist including (i) Pohjanpalo's power series expansion (Pohjanpalo, 1978), (ii) application of Fliess' series expansion (Tunali & Tarn, 1987;Walter & Pronzato, 1996) (iii) application of non-linear control theory and, more specifically, non-linear observability (Hermann & Krener, 1977;Isidori, 1989;Kwatny & Blankenship, 2000), (iii) the similarity transformation approach (Denis-Vidal & Joly-Blanchard, 2004;Denis-Vidal, Joly-Blanchard, & Noiret, 2001;Tunali & Tarn, 1987), (iv) differential algebra methods (Anguelova, Karlsson, & Jirstrand, 2012;Denis-Vidal et al, 2001;Ljung & Glad, 1994;Saccomani, 2004;Saccomani, Audoly, & D'Angió, 2003;Sedoglavic, 2002), and (v) a sensitivity based analysis (Brun & Reichert, 2001;Quaiser & Mönnigmann, 2009). A summary of the various approaches can be found in a recent review paper by Miao and co-workers (Miao, Xia, Perelson, & Wu, 2011).…”
Section: Introductionmentioning
confidence: 99%
“…The mechanistic models are shown not to be identifiable using the procedure reported in [30] and the parameter identifiability test presented in [31]. Jolly act…”
Section: Tpp Ligandmentioning
confidence: 99%