dorsal/arxiv
View SchemaFractional diffusion modeling of ion channel gating
| Authors | Igor Goychuk, Peter Hanggi |
|---|---|
| Categories | |
| ArXiv ID | physics/0407105 |
| URL | https://arxiv.org/abs/physics/0407105 |
| DOI | 10.1103/PhysRevE.70.051915 |
| Journal | Phys. Rev. E 70, 051915 (2004) |
Abstract
An anomalous diffusion model for ion channel gating is put forward. This scheme is able to describe non-exponential, power-law like distributions of residence time intervals in several types of ion channels. Our method presents a generalization of the discrete diffusion model by Millhauser, Salpeter and Oswald [Proc. Natl. Acad. Sci. USA 85, 1503 (1988)] to the case of a continuous, anomalous slow conformational diffusion. The corresponding generalization is derived from a continuous time random walk composed of nearest neighbor jumps which in the scaling limit results in a fractional diffusion equation. The studied model contains three parameters only: the mean residence time, a characteristic time of conformational diffusion, and the index of subdiffusion. A tractable analytical expression for the characteristic function of the residence time distribution is obtained. In the limiting case of normal diffusion, our prior findings [Proc. Natl. Acad. Sci. USA 99, 3552 (2002)] are reproduced. Depending on the chosen parameters, the fractional diffusion model exhibits a very rich behavior of the residence time distribution with different characteristic time-regimes. Moreover, the corresponding autocorrelation function of conductance fluctuations displays nontrivial features. Our theoretical model is in good agreement with experimental data for large conductance potassium ion channels.
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"abstract": "An anomalous diffusion model for ion channel gating is put forward. This\nscheme is able to describe non-exponential, power-law like distributions of\nresidence time intervals in several types of ion channels. Our method presents\na generalization of the discrete diffusion model by Millhauser, Salpeter and\nOswald [Proc. Natl. Acad. Sci. USA 85, 1503 (1988)] to the case of a\ncontinuous, anomalous slow conformational diffusion. The corresponding\ngeneralization is derived from a continuous time random walk composed of\nnearest neighbor jumps which in the scaling limit results in a fractional\ndiffusion equation. The studied model contains three parameters only: the mean\nresidence time, a characteristic time of conformational diffusion, and the\nindex of subdiffusion. A tractable analytical expression for the characteristic\nfunction of the residence time distribution is obtained. In the limiting case\nof normal diffusion, our prior findings [Proc. Natl. Acad. Sci. USA 99, 3552\n(2002)] are reproduced. Depending on the chosen parameters, the fractional\ndiffusion model exhibits a very rich behavior of the residence time\ndistribution with different characteristic time-regimes. Moreover, the\ncorresponding autocorrelation function of conductance fluctuations displays\nnontrivial features. Our theoretical model is in good agreement with\nexperimental data for large conductance potassium ion channels.",
"arxiv_id": "physics/0407105",
"authors": [
"Igor Goychuk",
"Peter Hanggi"
],
"categories": [
"physics.bio-ph",
"q-bio.BM"
],
"doi": "10.1103/PhysRevE.70.051915",
"journal_ref": "Phys. Rev. E 70, 051915 (2004)",
"title": "Fractional diffusion modeling of ion channel gating",
"url": "https://arxiv.org/abs/physics/0407105"
},
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