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| {{Orphan|date=June 2011}}
| | My name is Tyson Hiller. ӏ life іn Camelon (Greɑt Britain).<br><br>Review mƴ web-site :: web рage - [http://afljerseys3.jigsy.com/ his response] - |
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| The '''Hille equation''' relates the maximum ionic [[Electrical conductance|conductance]] of an [[ion channel]] to its length and [[radius]] (or [[diameter]]), with the commonly used version implicitly takes into account a hemispherical cap.<ref name="Hille book 2001">{{cite book | title=Ion channels of excitable membranes' | publisher=Sinauer Associates | author=Hille, Bertil | year=2001 | location=Sunderland, MA | isbn=0-88214-320-2 {{Please check ISBN|reason=Check digit (2) does not correspond to calculated figure.}}}}</ref> As it is ultimately based on a macroscopic continuum model, it does not take into account molecular interactions, and real conductances are often several times less than the predicted maximal flux.
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| ==Assumptions and Derivations==
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| ==Equation==
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| [[File:HilleEqnParameters.svg|thumb|right|Parameters in the Hille equation.]]
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| The Hille equation predicts the following maximum conductance <math>g</math> for a pore with length <math>l</math>, radius <math>a</math>, in a solvent with resistivity <math>\rho</math>:
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| <math>\frac{1}{g} = (l+\pi\frac{a}{2}) \times{} \frac{\rho}{\pi{}a^2}</math>
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| Rearranging the terms, the maximal flux based on length <math>l</math> and diameter <math>d</math> can be shown to be:
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| <math>\frac{1}{g} = \frac{l\rho}{(\pi{}(\frac{d}{2})^2)} + \frac{\rho}{d}</math>
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| ==Physical Implications==
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| {{Empty section|date=June 2011}}
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| ==References==
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| {{reflist}}
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| {{DEFAULTSORT:Hille Equation}}
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| [[Category:Ion channels]] | |
| [[Category:Electrophysiology]]
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Latest revision as of 16:46, 2 July 2014
My name is Tyson Hiller. ӏ life іn Camelon (Greɑt Britain).
Review mƴ web-site :: web рage - his response -