Abstract
Charged particles, namely ions, diffuse in water in the brain. There is a field of study called electro-diffusion theory concerned with the diffusion of charged particles. In this chapter, we study one electro-diffusion problem that is crucial for understanding nerve cells.
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Notes
- 1.
The more common convention is to let a positive I X denote an outward current. However, I find the sign convention that I am adopting here more natural.
Bibliography
D. Arion and D. A. Lewis, Altered expression of regulators of the cortical chloride transporters NKCC1 and KCC2 in schizophrenia, Arch. Gen. Psychiatry, 68 (2011), pp. 21–31.
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Börgers, C. (2017). The Nernst Equilibrium. In: An Introduction to Modeling Neuronal Dynamics. Texts in Applied Mathematics, vol 66. Springer, Cham. https://doi.org/10.1007/978-3-319-51171-9_2
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DOI: https://doi.org/10.1007/978-3-319-51171-9_2
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