Biophysics: Concentration and Electric potential

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SUMMARY

The discussion focuses on calculating the electric potential required to maintain a net flux of zero across a membrane permeable to a singly charged ionic species, with a concentration ratio of 25:1 at 37°C. Key equations referenced include the electric potential formula U = KQq/r and the flux equation flux = Q/ε. The relevance of Debye length in electrolytes is highlighted as a crucial concept for solving the problem, indicating its importance in biophysical modeling of electric fields around charged species.

PREREQUISITES
  • Understanding of electric potential and flux equations in biophysics
  • Familiarity with Debye length in electrolytes
  • Basic knowledge of ionic species behavior in membranes
  • Concepts of concentration gradients and their effects on electric fields
NEXT STEPS
  • Research "Debye length in electrolytes" for its application in biophysical contexts
  • Study the implications of concentration gradients on electric potential
  • Explore the relationship between ionic concentration and membrane permeability
  • Learn about the mathematical modeling of electric fields around charged molecules
USEFUL FOR

Students and professionals in biophysics, particularly those studying membrane dynamics, ionic transport, and electric potential calculations in biological systems.

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Homework Statement



Consider a membrane which is permeable to a singly charged ionic species. If the concentration on one side is 25 times that of the other, what is the electric potential required to maintain a net flux of zero at 37C?

Homework Equations



I'm not sure:
U = KQq/r
flux = Q/ε

The Attempt at a Solution



I was using K * Q * 25Q/R

But I'm getting no where
 
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I would check check this out:

http://en.wikipedia.org/wiki/Debye_length

There are a few equations there-in that might be useful to you.

I don't know how rigorous your Biophysics course is, but I remember doing problems like this having to do with modeling the net electric field and potential in the environment around charged DNA backbones and across membranes, and these equations, and the ideas they relate to, are what I used. If I have more time, I'll see if I can be more help than this.

EDIT: In particular, the section on "Debye length in an electrolyte" would be the most relevant to your interests.
 
Last edited:
Thank you, but I don't believe the problem is that in depth. Our course isn't very mathematically heavy , so it's usually basic formulas and whatnot. I just can't think of what to do -.-
 

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