Parameter Redundancy and Identifiability, by Diana Cole
نویسندگان
چکیده
منابع مشابه
Parameter Identifiability and Redundancy: Theoretical Considerations
BACKGROUND Models for complex biological systems may involve a large number of parameters. It may well be that some of these parameters cannot be derived from observed data via regression techniques. Such parameters are said to be unidentifiable, the remaining parameters being identifiable. Closely related to this idea is that of redundancy, that a set of parameters can be expressed in terms of...
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BACKGROUND Heidenreich et al. (Risk Anal 1997 17 391-399) considered parameter identifiability in the context of the two-mutation cancer model and demonstrated that combinations of all but two of the model parameters are identifiable. We consider the problem of identifiability in the recently developed carcinogenesis models of Little and Wright (Math Biosci 2003 183 111-134) and Little et al. (...
متن کاملAddressing parameter identifiability by model-based experimentation.
Mathematical description of biological processes such as gene regulatory networks or signalling pathways by dynamic models utilising ordinary differential equations faces challenges if the model parameters like rate constants are estimated from incomplete and noisy experimental data. Typically, biological networks are only partially observed. Only a fraction of the modelled molecular species is...
متن کاملDynamic compensation, parameter identifiability, and equivariances
A recent paper by Karin et al. introduced a mathematical notion called dynamical compensation (DC) of biological circuits. DC was shown to play an important role in glucose homeostasis as well as other key physiological regulatory mechanisms. Karin et al. went on to provide a sufficient condition to test whether a given system has the DC property. Here, we show how DC can be formulated in terms...
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BACKGROUND AND SCOPE Differential equation systems modeling biochemical reaction networks can only give quantitative predictions, when they are in accordance with experimental data. However, even if a model can well recapitulate given data, it is often the case that some of its kinetic parameters can be arbitrarily chosen without significantly affecting the simulation results. This indicates a ...
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ژورنال
عنوان ژورنال: Journal of Agricultural, Biological and Environmental Statistics
سال: 2021
ISSN: 1085-7117,1537-2693
DOI: 10.1007/s13253-021-00441-7