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Many plotting and numerical analysis methods have been developed to calculate the binding constant of unlabeled ligand from the displacement experiments. However, a common problem with these plotting methods is that the equation transformations inevitably result in non\u2010standard error distribution, and thus simple linear regression can not be used to extract correct values for the parameters. In the case of the numerical analysis methods, one would be faced with the possible existence of multiple solutions. In this paper, the exact mathematical expression for describing competitive binding of two different ligands to a protein molecule is presented in terms of the total concentrations of species in the system. Thus, using a commercially available non\u2010linear regression program, all unknown parameters for describing this system can be determined by fitting the experimental data to the algebraically explicit equation without any data transformations. The distribution curves of all the species in the system can also be constructed with this equation. It is particularly useful for the cases in which the concentrations of all the species in the system are comparable to each other.<\/jats:p>","DOI":"10.1016\/0014-5793(95)00062-e","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T09:45:33Z","timestamp":1027590333000},"page":"111-114","source":"Crossref","is-referenced-by-count":356,"title":["An exact mathematical expression for describing competitive binding of two different ligands to a protein molecule"],"prefix":"10.1002","volume":"360","author":[{"given":"Zhi-Xin","family":"Wang","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2003,8,5]]},"reference":[{"key":"e_1_2_1_2_1","doi-asserted-by":"crossref","unstructured":"A Fersht 1985 Freeman New York 185 191","DOI":"10.3817\/0985065185"},{"key":"e_1_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0076-6879(85)17024-2"},{"key":"e_1_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0076-6879(85)17023-0"},{"key":"e_1_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1042\/bj0940023C"},{"key":"e_1_2_1_6_1","doi-asserted-by":"publisher","DOI":"10.1021\/jm00125a002"},{"key":"e_1_2_1_7_1","doi-asserted-by":"publisher","DOI":"10.1016\/0003-2697(92)90381-G"},{"key":"e_1_2_1_8_1","first-page":"6654","volume-title":"Proc. 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