Dynamic Model Building Using Optimal Identification Strategies, with Applications in Bioprocess Engineering

Balsa‐Canto, Eva; Banga, Julio R.; García, Míriam R.

doi:10.1002/9783527631209.ch73

Cited by 1 publication

(1 citation statement)

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“…Another difficulty in the acceptability of ion channel models is related to parameter identifiability. A model is said to have structurally unidentifiable parameters when multiple parameters are equally powerful in explaining observed data in noise-free perfect experiments [5,36,2]. Since it is well-known that a large segment of ion-channel models in the literature lack parameter identifiability in noise experiments [12], fundamental studies of structural identifiability are scarce due to the difficulty of solving the associated symbolic set of equations [8,9].…”

Section: Introductionmentioning

confidence: 99%

Biological mechanism and identifiability of a class of stationary conductance model for Voltage-gated Ion channels

Francis¹,

García²,

Mason³

et al. 2013

Preprint

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The physiology of voltage gated ion channels is complex and insights into their gating mechanism is incomplete. Their function is best represented by Markov models with relatively large number of distinct states that are connected by thermodynamically feasible transitions. On the other hand, popular models such as the one of Hodgkin and Huxley have empirical assumptions that are generally unrealistic. Experimental protocols often dictate the number of states in proposed Markov models, thus creating disagreements between various observations on the same channel. Here we aim to propose a limit to the minimum number of states required to model ion channels by employing a paradigm to define stationary conductance in a class of ion-channels. A simple expression is generated using concepts in elementary thermodynamics applied to protein conformational transitions. Further, it matches well many published channel current-voltage characteristics and parameters of the model are found to be identifiable and easily determined from usual experimental protocols.

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