LATENT REFERENCES / TAG2
Hodgkin–Huxley Equations
Original title: Hodgkin-Huxley方程式
This reference note belongs to Tag2 in Latent References, an archive curated by Keigo Yoshida. Its archive region is Chaos theory · Lorenz equations. The note preserves its source text and links so that readers can trace the material behind the 3D map.
- Collection
- Tag2
- Archive region
- Chaos theory · Lorenz equations
Archived reference note
English translation of the archived note. JP shows the original text. Source links and literal code are retained; the translation does not update or independently verify the source claims.
Alan Lloyd Hodgkin and Andrew Fielding Huxley experimentally measured the opening and closing of Na+ and K+ channels during action potentials in the squid giant axon, and succeeded in representing their nonlinear dynamics mathematically, including differential equations. These are called the Hodgkin-Huxley equations. They successfully demonstrated the generation and propagation of action potentials in nerve axons using a relatively small number of parameters. They remain highly regarded for representing channel opening and closing characteristics quite accurately with relatively few parameters. The Hodgkin-Huxley equations (or Hodgkin-Huxley model), and similar models, are used in the simulations of potentials in excitable cells (neurons, cardiac muscle cells, skeletal muscles, etc.) widely performed today.
Alan Lloyd HodgkinとAndrew Fielding Huxleyはイカの巨大軸索の活動電位を、Na+チャネル、K+チャネルの開閉を実験的に測定し、開閉の非線形な動態を微分方程式を含む数式で表わす事に成功した。これをHodgkin-Huxley方程式という。比較的少ない数のパラメータで神経軸索の活動電位の発生と伝播を示す事に成功した。チャネルの開閉特性を比較的少ないパラメータでかなり正確に表すことができる点で、今でも高く評価されている。現在広く行われている興奮性細胞（神経細胞、心筋細胞、骨格筋など）の電位シミュレーションでは、Hodgkin-Huxley方程式や（Hodgkin-Huxleyモデル）、それに類似のモデルが用いられる。
Source updated 2024-01-16 · Snapshot 2026-10-08
Source links and calculated neighbors
Cosine values measure shared lexical features, not truth, agreement or identical meaning. Original reference links are labeled separately.
- Wave EquationComputed lexical cosine similarity 0.200 · shared title, text, tags and references
- Equation of MotionComputed lexical cosine similarity 0.189 · shared title, text, tags and references
- Bellman EquationComputed lexical cosine similarity 0.134 · shared title, text, tags and references
- Chaos Theory and the Lorenz EquationsComputed lexical cosine similarity 0.128 · shared title, text, tags and references
- Drake EquationComputed lexical cosine similarity 0.127 · shared title, text, tags and references
- Navier–Stokes EquationsComputed lexical cosine similarity 0.123 · shared title, text, tags and references
- Structural Equation ModelingComputed lexical cosine similarity 0.100 · shared title, text, tags and references
- Schrödinger EquationComputed lexical cosine similarity 0.095 · shared title, text, tags and references