Superposition Properties of Independent Ion Channels
Membrane patches usually contain several ion channels of a given type. However, most of the stochastic modelling on which data analysis (in particular, estimation of kinetic constants) is currently based, relates to a single channel rather than to multiple channels. Attempts to circumvent this probl...
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Published in | Proceedings of the Royal Society of London. Series B, Containing papers of a biological character Vol. 238; no. 1291; p. 155 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
England
The Royal Society
22.11.1989
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Subjects | |
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Abstract | Membrane patches usually contain several ion channels of a given type. However, most of the stochastic modelling on which
data analysis (in particular, estimation of kinetic constants) is currently based, relates to a single channel rather than
to multiple channels. Attempts to circumvent this problem experimentally by recording under conditions where channel activity
is low are restrictive and can introduce bias; moreover, possibly important information on how multichannel systems behave
will be missed. We have extended existing theory to multichannel systems by applying results from point process theory to
derive some distributional properties of the various types of sojourn time that occur when a given number of channels are
open in a system containing a specified number of independent channels in equilibrium. Separate development of properties
of a single channel and the superposition of several such independent channels simplifies the presentation of known results
and extensions. To illustrate the general theory, particular attention is given to the types of sojourn time that occur in
a two channel system; detailed expressions are presented for a selection of models, both Markov and non-Markov. |
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AbstractList | Membrane patches usually contain several ion channels of a given type. However, most of the stochastic modelling on which data analysis (in particular, estimation of kinetic constants) is currently based, relates to a single channel rather than to multiple channels. Attempts to circumvent this problem experimentally by recording under conditions where channel activity is low are restrictive and can introduce bias; moreover, possibly important information on how multichannel systems behave will be missed. We have extended existing theory to multichannel systems by applying results from point process theory to derive some distributional properties of the various types of sojourn time that occur when a given number of channels are open in a system containing a specified number of independent channels in equilibrium. Separate development of properties of a single channel and the superposition of several such independent channels simplifies the presentation of known results and extensions. To illustrate the general theory, particular attention is given to the types of sojourn time that occur in a two channel system; detailed expressions are presented for a selection of models, both Markov and non-Markov. Membrane patches usually contain several ion channels of a given type. However, most of the stochastic modelling on which data analysis (in particular, estimation of kinetic constants) is currently based, relates to a single channel rather than to multiple channels. Attempts to circumvent this problem experimentally by recording under conditions where channel activity is low are restrictive and can introduce bias; moreover, possibly important information on how multichannel systems behave will be missed. We have extended existing theory to multichannel systems by applying results from point process theory to derive some distributional properties of the various types of sojourn time that occur when a given number of channels are open in a system containing a specified number of independent channels in equilibrium. Separate development of properties of a single channel and the superposition of several such independent channels simplifies the presentation of known results and extensions. To illustrate the general theory, particular attention is given to the types of sojourn time that occur in a two channel system; detailed expressions are presented for a selection of models, both Markov and non-Markov. |
Author | R. O. Edeson B. W. Madsen G. F. Yeo R. K. Milne |
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Snippet | Membrane patches usually contain several ion channels of a given type. However, most of the stochastic modelling on which
data analysis (in particular,... Membrane patches usually contain several ion channels of a given type. However, most of the stochastic modelling on which data analysis (in particular,... |
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StartPage | 155 |
SubjectTerms | Animals Electrophysiology Ion Channels - physiology Kinetics Mathematics Membrane Potentials Models, Biological |
Title | Superposition Properties of Independent Ion Channels |
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