The Hodgkin–Huxley Equations

Part of the Interdisciplinary Applied Mathematics book series (IAM, volume 35)


All living cells have an electrical voltage, or potential difference, between their inside and outside. Since the cell’s membrane is what separates the inside from the outside, this potential difference is referred to as the membrane potential. In mathematical terms, the membrane potential V M is defined as
$${V }_{\mathrm{M}} = {V }_{\mathrm{in}} - {V }_{\mathrm{out}},$$
where V in is the potential on the inside of the cell and V out is the potential on the outside. This will change during an action potential, for example.


Membrane Potential Planck Equation Nernst Equation Cable Equation Squid Axon 
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© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Dept. MathematicsUniversity of PittsburghPittsburghUSA
  2. 2.Dept. MathematicsOhio State UniversityColumbusUSA

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