Alan Lloyd Hodgkin
Hodgkin's name survives in this literature through two pieces of theory. One is the Goldman-Hodgkin-Katz equation, credited to Hodgkin and Katz in 1949, which relates membrane voltage to ion permeability and concentration1. The other is the Hodgkin-Huxley conductance model, which later authors treat as the basis of membrane electrical modelling3.
- Born
- 5 February 1914
- Died
- 20 December 1998
- In the library
- 0 works, named in 12 passages elsewhere
The membrane potential equation
Later papers cite the Goldman-Hodgkin-Katz equation for the claim that resting voltage depends on the permeability of each ion and on its concentrations inside and outside the cell1. Sundelacruz and colleagues used it to predict that raising extracellular potassium would depolarize stem cells2. A 2023 imaging review gives it as the standard account of why a cell has a resting potential7. In these papers the equation is a working tool, not a subject of study.
The conductance model
Law and Levin say the elementary theory of voltage changing through ion channel currents is due essentially to Hodgkin and Huxley3. They note that the squid giant axon model leaves out calcium entirely yet fits the data quite well4. Pietak and Levin describe a standard Hodgkin-Huxley style model as an equivalent circuit with differential equations for membrane conductance, and reuse its form in their simulator5.
Use beyond the nerve
Levin applies the neural equations to a wider claim, that bioelectric signaling was exploited by evolution for computation before nervous systems existed. The same passage reports that the Hodgkin-Huxley equations can be derived from first principles of information theory6. The passages show the equations being carried from squid axon work into non-excitable cells, development and cancer. They do not show Hodgkin's own experiments.
The Goldman–Hodgkin–Katz equation shows that the Vm depends on the permeability (P) and both the intracellular and extracellular concentrations of major ions (Goldman, 1943; Hodgkin and Katz, 1949):
Yang M, Brackenbury WJ, 2013 · Membrane potential and cancer progression · open at passage 2Changing the extracellular [K+] is predicted to alter Vmem according to the Goldman-Hodgkin-Katz equation.
Sundelacruz S, Levin M, Kaplan DL, 2015 · Comparison of the depolarization response of human mesenchymal stem cells from… · open at passage 7The elementary theory is due essentially to Hodgkin and Huxley [48]
Law R, Levin M, 2015 · Bioelectric memory: modeling resting potential bistability in amphibian embryos… · open at passage 10In fact, the classic squid giant axon model of Hodgkin and Huxley ignores calcium entirely and fits the data quite well.
Law R, Levin M, 2015 · Bioelectric memory: modeling resting potential bistability in amphibian embryos… · open at passage 21A standard Hodgkin–Huxley style model uses an electrical equivalent circuit equation to determine changes to current and voltage across a membrane
Pietak A, Levin M, 2016 · Exploring Instructive Physiological Signaling with the Bioelectric Tissue… · open at passage 79Neural Hodgkin-Huxley equations can be derived from first principles of information theory (Gatenby and Frieden, 2017)
Levin M, 2019 · The Computational Boundary of a "Self": Developmental Bioelectricity Drives… · open at passage 70the resting membrane potential of a cell is determined by unequal intracellular/extracellular concentrations and permeability of different ions in accordance with Goldman-Hodgkin-Katz Equation
Nikolaev DM, Mironov VN, Shtyrov AA, Kvashnin ID…, 2023 · Fluorescence Imaging of Cell Membrane Potential: From Relative Changes to… · open at passage 52