Open AccessUse of a Logistic Function in Expressing Kinetic Hemolysis Data
Author(s) -
Robert W. Jackson,
Scott F. Basinger,
Jean M. Werth
Publication year - 1970
Publication title -
infection and immunity
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.508
H-Index - 220
eISSN - 1070-6313
pISSN - 0019-9567
DOI - 10.1128/iai.1.2.142-145.1970
Subject(s) - lysis , lytic cycle , lysin , hemolysis , kinetic energy , cytolysis , logistic function , sigmoid function , logarithm , biology , transformation (genetics) , biophysics , physics , biological system , biochemistry , in vitro , mathematical analysis , mathematics , statistics , immunology , classical mechanics , cytotoxicity , escherichia coli , computer science , virus , bacteriophage , machine learning , gene , artificial neural network
A method of rectifying sigmoidal kinetic hemolysis curves is described. The curves are described, within limits, by the equation t = K(l/1 - l)(1/n) where t is time, K is a constant, l expresses the degree of lysis, and l/1 - l is the ratio of lysed to unlysed cells. This description holds over a wide range of red cell and lysin concentrations, provided the conditions are not substrate limited and the lysin preparation is reasonably stable. Graphical solution of the logarithmic transformation of the equation yields straight lines, and the intercepts of these lines with time ordinates may be used to define a time of initial lysis or, under suitable conditions, a time of 50% lysis. The time of initial lysis is inversely related to the lysin concentration, and thus its reciprocal may be used to precisely define units of lytic activity.