https://wikimd.org/index.php?action=history&feed=atom&title=Schild_equationSchild equation - Revision history2026-04-26T14:11:29ZRevision history for this page on the wikiMediaWiki 1.44.2https://wikimd.org/index.php?title=Schild_equation&diff=6347884&oldid=prevPrab: CSV import2025-02-25T21:10:58Z<p>CSV import</p>
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<p><b>New page</b></p><div>'''Schild equation''' is a mathematical model used in the field of [[pharmacology]] to quantify the effect of [[antagonists]] on the action of [[agonists]] in drug-receptor interactions. Named after the British pharmacologist [[P.A. Schild]], this equation is a fundamental tool in the study of [[drug interactions]] and [[receptor theory]].<br />
<br />
== Overview ==<br />
<br />
The Schild equation is derived from the [[Cheng-Prusoff equation]] and is used to determine the potency of an antagonist by measuring its ability to inhibit the action of an agonist. The equation is expressed as:<br />
<br />
: ''r = [B]/(K_B(1+[A]/K_A))''<br />
<br />
where:<br />
* ''r'' is the dose ratio (the concentration of agonist in the presence of antagonist divided by the concentration of agonist in the absence of antagonist)<br />
* ''[B]'' is the concentration of antagonist<br />
* ''K_B'' is the equilibrium dissociation constant of the antagonist<br />
* ''[A]'' is the concentration of agonist<br />
* ''K_A'' is the equilibrium dissociation constant of the agonist<br />
<br />
== Applications ==<br />
<br />
The Schild equation is widely used in pharmacology to study the effects of drugs on the body. It allows researchers to quantify the potency of an antagonist and to compare the effectiveness of different drugs. This information is crucial in the development of new medications and in understanding how drugs interact with the body.<br />
<br />
== Limitations ==<br />
<br />
While the Schild equation is a powerful tool, it has its limitations. It assumes that the antagonist does not change the affinity of the agonist for the receptor, which is not always the case. Furthermore, it assumes that the antagonist and agonist bind to the same site on the receptor, which may not be true for all drug-receptor interactions.<br />
<br />
== See also ==<br />
* [[Cheng-Prusoff equation]]<br />
* [[Pharmacodynamics]]<br />
* [[Receptor theory]]<br />
<br />
== References ==<br />
<references /><br />
<br />
[[Category:Pharmacology]]<br />
[[Category:Mathematical modeling]]<br />
[[Category:Drug discovery]]<br />
[[Category:Equations]]<br />
<br />
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