Applications of Nonequilibrium Response Spectroscopy to the Study of Channel Gating. Experimental Design and Optimization

Kargol, Armin; Smith, Bryan; Millonas, Mark M.

doi:10.1006/jtbi.2002.3073

Cited by 13 publications

(22 citation statements)

References 34 publications

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“…The time constant of channel relaxation to a new probability distribution depends on voltage and the temperature, but it typically is of the order of few ms. Experiments with time-variable, including rapidly fluctuating voltages have been also proposed for various purposes [36][37][38][39][40] and they only require sufficient bandwidth of the recording apparatus, faster than the time scale of channel gating kinetics. Bandwidth in excess of 5 kHz can be easily obtained with standard equipment.…”

Section: Ion Channel Electrophysiologymentioning

confidence: 99%

“…The former are achieved in response to static voltages while the latter are achieved for fluctuating voltage stimuli. The idea of remote channel control is to enhance a probability of finding channel molecules in a selected state (open, closed, or inactivated) by driving them into a non-equilibrium distribution with fluctuating electric fields [38,39] (Fig. 2).…”

Section: Ion Channel Electrophysiologymentioning

confidence: 99%

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Biomedical Applications of Multiferroic Nanoparticles

Kargol¹,

Małkiński²,

Caruntu³

2012

Advanced Magnetic Materials

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Section: Ion Channel Electrophysiologymentioning

confidence: 99%

Section: Ion Channel Electrophysiologymentioning

confidence: 99%

Biomedical Applications of Multiferroic Nanoparticles

Kargol¹,

Małkiński²,

Caruntu³

2012

Advanced Magnetic Materials

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“…The rate functions are simple exponentials (the most most commonly employed functional form for voltage-dependent rates (Zagotta et al, 1994b;Chanda and Bezanilla, 2002;Kargol et al, 2002;Piper et al, 2003)) of the form…”

Section: Casementioning

confidence: 99%

A Geometric Comparison of Single Chain Multi-State Models of Ion Channel Gating

Willms

Nelson

2008

Bull. Math. Biol.

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Multi-state models of ion channel gating have been used extensively, but choosing optimally small yet sufficiently complex models to describe particular experimental data remains a difficult task. In order to provide some insight into appropriate model selection, this paper presents some basic results about the behaviour of solutions of multi-state models, particularly those arranged in a chain formation. Some properties of the eigenvalues and eigenvectors of constant-rate multi-state models are presented. A geometric description of a three-state chain is given and, in particular, differences between a chain equivalent to an Hodgkin-Huxley model and a chain with identical rates are analyzed. One distinguishing feature between these two types of systems is that decay from the open state in the HodgkinHuxley model is dominated by the most negative eigenvalue while the identical rate chain displays a mix of modes over all eigenvalues.

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“…Following a voltage step, this equilibrium is disturbed, but the ensemble simply relaxes to a new equilibrium distribution corresponding to the new voltage value. An entirely different approach, where the voltage fluctuates on a time scale comparable to the relaxation times of the channel kinetics has been discussed [10-17]. This approach forces the channels into nonequilibrium distributions which may lead to new phenomena not observable under equilibrium conditions.…”

Section: Introductionmentioning

confidence: 99%

Wavelet-based protocols for ion channel electrophysiology

Kargol

2013

BMC Biophys

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BackgroundFluctuation-induced phenomena caused by both random and deterministic stimuli have been previously studied in a variety of contexts. They are based on the interplay between the spectro-temporal patterns of the signal and the kinetics of the system it is applied to. The aim of this study was to develop a method for designing fluctuating inputs into nonlinear system which would elicit the most desired system output and to implement the method to studies of ion channels.ResultsWe describe an algorithm based on constructing the input as a superposition of wavelets and optimizing it according to a selected cost functional. The algorithm is applied to ion channel electrophysiology where the input is the fluctuating voltage delivered through a patch-clamp experimental apparatus and the output is the whole-cell ionic current. The algorithm is optimized to aid selection of Markov models of the gating kinetics of the voltage-gated Shaker K+ channel and tested by comparison of numerically obtained ionic currents predicted by different models with experimental data obtained from the Shaker K+ channels. Other applications and optimization criteria are also suggested.ConclusionThe method described in this paper can be useful in development and testing of models of ion channel gating kinetics, developing voltage inputs that optimize certain nonequilibrium phenomena in ion channels, such as the kinetic focusing, and potentially has applications to other fields.

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Applications of Nonequilibrium Response Spectroscopy to the Study of Channel Gating. Experimental Design and Optimization

Cited by 13 publications

References 34 publications

Biomedical Applications of Multiferroic Nanoparticles

Biomedical Applications of Multiferroic Nanoparticles

A Geometric Comparison of Single Chain Multi-State Models of Ion Channel Gating

Wavelet-based protocols for ion channel electrophysiology

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