Hodgkin's and Huxley's own assessments of their "quantitative description" of nerve membrane current

Alan Hodgkin's and Andrew Huxley's mid-20th century work on the ionic currents generating neuron action potentials stands among that century's great scientific achievements. Unsurprisingly, that case has attracted widespread attention from neuroscientists, historians and philosophers of science. In this paper, I do not propose to add any new insights into the vast historical treatment of Hodgkin's and Huxley's scientific discoveries in that much- discussed episode. Instead, I focus on an aspect of it that hasn't received much attention: Hodgkin's and Huxley's own assessments about what their famous "quantitative description" accomplished. The "Hodgkin-Huxley model" is now widely recognized as a foundation of contemporary computational neuroscience. Yet Hodgkin and Huxley expressed serious caveats about their model and what it added to their scientific discoveries, as far back as their (1952d), in which they first presented their model. They were even more critical of its accomplishments in their Nobel Prize addresses a decade later. Most notably, as I argue here, some worries they raised about their quantitative description seem still to be relevant to current work in ongoing computational neuroscience.