Calcium current to amount of substance units (mol)

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The discussion centers on a differential equation related to calcium ion dynamics, specifically how the calcium current (I_Ca) is converted to moles (mol) in the context of cellular processes. The first term in the equation is believed to represent this conversion, but its origin is unclear. Key variables include the valence (z), cell radius (r), Faraday's constant (F), and a rate constant (k_Ca). The equation highlights the relationship between calcium concentration ([Ca2+]) and the current, raising questions about the underlying principles. Clarification on the derivation of this term is sought to better understand the equation's context.
gjfelix2001
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Hi there... I have a differential equation with to terms:

\frac{d[Ca2+]}{dt}=f\Big(\frac{3I_{Ca}}{z 4 \pi r^3 F}-k_{Ca}[Ca2+]\Big)


I think that the first term converts the Ca2+ (density of?) current to mol units. But, where does it comes from?

z is the valence; in this case of the Ca2+, r is the radius of a cell, F is the Faraday's constant, and I_{Ca} is a Ca2+ current, or may be density of current. k_{Ca} is a rate with ms^{-1} units, and [Ca2+] is a concentration with mol units... In this case, r is the radius of a cell...

Thanks a lot...
 
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Any context to that question? It is even hard to start thinking over some equation coming out of a blue.
 
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