WebThe Hill's equation, (1.1) has numerous applications in engineering and physics. Among them we can find some problems in mechanics, astronomy, circuits, electric conductivity of metals and cyclotrons. Hill's equation is named after the pioneering work of the mathematical astronomer George William Hill (1838–1914), see [6]. WebHill-Langmuir equation This is the important Hill-Langmuir equation. A. V. Hill was the first (in 1909) to apply the law of mass action to the relationship between ligand concentration and receptor occupancy at equilibrium and to the rate at which this equilibrium is approached. The physical chemist I. Langmuir showed a few years later that a similar …

Understanding non-linear effects from Hill-type dynamics with

WebJun 15, 2024 · The nonoscillation of Mathieu-type half-linear differential equations was investigated. The particular equation under consideration is an extension of the Mathieu equation, which has been widely applied in mechanical and electrical engineering. The investigation led to the main finding that all nontrivial solutions of the Mathieu-type half … WebLog-logistic equation (Hill equation) Weibull-type 1; Weibull-type 2; Curves with a maximum Brain-Cousens equation; Polynomials. Polynomials are the most flexible tool to describe … how big is a rhodesian ridgeback

A Hill type equation can predict target gene expression driven by …

WebThe Hill coefficient was originally devised to explain the cooperative binding of oxygen to haemoglobin (a system which has a Hill coefficient of 2.8-3.0). Hill equation: θ=[L]nKd+[L]n=[L]n(KA)n+[L]n=1(KA[L])n+1{\displaystyle \theta ={[L]^{n} \over K_{d}+[L]^{n}}={[L]^{n} \over (K_{A})^{n}+[L]^{n}}={1 \over ({K_{A} \over [L]})^{n}+1}} The Hill–Langmuir equation is a special case of a rectangular hyperbola and is commonly expressed in the following ways. , where: • is the fraction of the receptor protein concentration that is bound by the ligand, WebThe logarithmic form of equation (B) gives the Hill type equation. In equations (A) and (B), the fractional velocity is expressed with respect to the control velocity rather than the maximal velocity; and D can be the reference ligands or environmental factors rather than the restriction to the primary ligands. It is concluded that a plot of ... how big is a rhode island red chicken