Hill cooperativity (A. V. Hill 1910). Multi-site substrate binding where n > 1 indicates positive cooperativity (one binding event raises affinity for the next), n = 1 Michaelis-Menten, n < 1 negative cooperativity. Classical example:…
Hill v = V·Sⁿ/(Kⁿ+Sⁿ): n is the log-log slope at S = K
Related concepts
- Hill full framework: θ(L) = Lⁿ/(Kⁿ + Lⁿ); half-saturation at L = K; Hill slope n/4 at L = K
- Kuramoto 1975 model of N coupled phase-oscillators
- Hill muscle model
- Receptor theory
- Hemoglobin cooperativity: Hill equation Y = L^n / (K^n + L^n); n ≈ 2.8
- Allosteric feedback regulation of PFK-1 framework
- Transcription-factor cooperativity / enhancer framework
- Frank-Starling law (1895-1914)