To try everything Brilliant has to offer—free—for a full 30 days, visit https://brilliant.org/ArtemKirsanov . You’ll also get 20% off an annual premium subscription Socials: X/Twitter: https://x.com/ArtemKRSV Patreon: https://patreon.com/artemkirsanov My name is Artem, I'm a graduate student at NYU Center for Neural Science and researcher at Flatiron Institute (Center for Computational Neuroscience). In this video, we explore the Nobel Prize-winning Hodgkin-Huxley model, the foundational equation of computational neuroscience that reveals how neurons generate electrical signals. We break down the biophysical principles of neural computation, from membrane voltage to ion channels, showing how mathematical equations capture the elegant dance of charged particles that enables information processing. Outline: 00:00 Introduction 01:28 Membrane Voltage 04:56 Action Potential Overview 6:24 Equilibrium potential and driving force 10:11 Voltage-dependent conductance 16:50 Review 20:09 Limitations & Outlook 21:21 Sponsor: Brilliant.org 22:44 Outro References: Original 1952 paper: https://pmc.ncbi.nlm.nih.gov/articles/PMC1392413/ Great tutorial by Mark E. Nelson: http://nelson.beckman.illinois.edu/courses/physl317/part1/Lec3_HHsection.pdf This video was sponsored by Brilliant

NeuroscienceMathComputational NeuroscienceBiophyicsDifferential equationsHodgkin-Huxley modelModeling