Approximations for Semi-Markov Single Ion Channel Models

Susan M. Pitts
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Susan M. Pitts: University of Cambridge

Chapter Chapter 6 in Semi-Markov Models and Applications, 1999, pp 103-115 from Springer

Abstract: Abstract We consider a semi-Markov framework for the openings and closures of a single ion channel, incorporating time interval omission, as in [2]. Using a functional approach, we give theoretical results that yield approximation formulae for the relevant semi-Markov kernels, and which may be used to obtain approximation formulae for various other quantities of interest built on these semi-Markov kernels. This work generalises earlier work [8] in an alternating renewed setting, and extends the methodology of the functioned approach to multidimensional problems.

Keywords: Time interval omission; Fréchet derivatives. (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4613-3288-6_6

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DOI: 10.1007/978-1-4613-3288-6_6

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