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  2. Hill equation (biochemistry) - Wikipedia

    en.wikipedia.org/wiki/Hill_equation_(biochemistry)

    The Hill equation reflects the occupancy of macromolecules: the fraction that is saturated or bound by the ligand. [1] [2] [nb 1] This equation is formally equivalent to the Langmuir isotherm. [3] Conversely, the Hill equation proper reflects the cellular or tissue response to the ligand: the physiological output of the system, such as muscle ...

  3. Reversible Hill equation - Wikipedia

    en.wikipedia.org/wiki/Reversible_Hill_Equation

    If the enzyme is irreversible the equation turns into the simple Michaelis-Menten equation that is irreversible. When setting the equilibrium constant to infinity, the equation can be seen to revert to the simpler case where the product inhibits the reverse step. A comparison has been made between the MWC and reversible Hill equation. [9]

  4. Dose–response relationship - Wikipedia

    en.wikipedia.org/wiki/Dose–response_relationship

    The Hill equation can be used to describe dose–response relationships, for example ion channel-open-probability vs. ligand concentration. [9] Dose is usually in milligrams, micrograms, or grams per kilogram of body-weight for oral exposures or milligrams per cubic meter of ambient air for inhalation exposures. Other dose units include moles ...

  5. Hill equation - Wikipedia

    en.wikipedia.org/wiki/Hill_equation

    Upload file; Special pages; ... Hill equation may refer to Hill equation (biochemistry) Hill differential equation

  6. Absorption rate constant - Wikipedia

    en.wikipedia.org/wiki/Absorption_rate_constant

    The absorption rate constant K a is a value used in pharmacokinetics to describe the rate at which a drug enters into the system. It is expressed in units of time −1. [1] The K a is related to the absorption half-life (t 1/2a) per the following equation: K a = ln(2) / t 1/2a.

  7. Hill differential equation - Wikipedia

    en.wikipedia.org/wiki/Hill_differential_equation

    Hill's equation is an important example in the understanding of periodic differential equations. Depending on the exact shape of (), solutions may stay bounded for all time, or the amplitude of the oscillations in solutions may grow exponentially. [3] The precise form of the solutions to Hill's equation is described by Floquet theory. Solutions ...

  8. Cooperative binding - Wikipedia

    en.wikipedia.org/wiki/Cooperative_binding

    The first description of cooperative binding to a multi-site protein was developed by A.V. Hill. [4] Drawing on observations of oxygen binding to hemoglobin and the idea that cooperativity arose from the aggregation of hemoglobin molecules, each one binding one oxygen molecule, Hill suggested a phenomenological equation that has since been named after him:

  9. Floquet theory - Wikipedia

    en.wikipedia.org/wiki/Floquet_theory

    Floquet theory shows stability in Hill differential equation (introduced by George William Hill) approximating the motion of the moon as a harmonic oscillator in a periodic gravitational field. Bond softening and bond hardening in intense laser fields can be described in terms of solutions obtained from the Floquet theorem.