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  2. Hill equation (biochemistry) - Wikipedia

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

    The Hill equation is used extensively in pharmacology to quantify the functional parameters of a drug [citation needed] and are also used in other areas of biochemistry. The Hill equation can be used to describe dose-response relationships, for example ion channel open-probability (P-open) vs. ligand concentration.

  3. 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 ...

  4. EC50 - Wikipedia

    en.wikipedia.org/wiki/EC50

    The EC 50 represents the point of inflection of the Hill equation, beyond which increases of [A] have less impact on E. In dose response curves, the logarithm of [A] is often taken, turning the Hill equation into a sigmoidal logistic function. In this case, the EC 50 represents the rising section of the sigmoid curve.

  5. 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 ...

  6. 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]

  7. Hill equation - Wikipedia

    en.wikipedia.org/wiki/Hill_equation

    Hill equation (biochemistry) Hill differential equation This page was last edited on 28 December 2019, at 18:37 (UTC). Text is available under the Creative Commons ...

  8. Stimulus–response model - Wikipedia

    en.wikipedia.org/wiki/Stimulus–response_model

    In biochemistry and pharmacology, the Hill equation refers to two closely related equations, one of which describes the response (the physiological output of the system, such as muscle contraction) to Drug or Toxin, as a function of the drug's concentration. [12] The Hill equation is important in the construction of dose-response curves.

  9. Effective dose (pharmacology) - Wikipedia

    en.wikipedia.org/wiki/Effective_dose_(pharmacology)

    In pharmacology, an effective dose (ED) or effective concentration (EC) is the dose or concentration of a drug that produces a biological response. [1] [2] The term "effective dose" is used when measurements are taken in vivo, while "effective concentration" is used when the measurements are taken in vitro.