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MATHEMATICAL ASPECTS OF THE ULTRAVIOLET PHOTOCHEMISTRY OF PYRIMIDINE DINUCLEOSIDE PHOSPHATES
Author(s) -
Brown I. H.,
Johns H. E.
Publication year - 1967
Publication title -
photochemistry and photobiology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.818
H-Index - 131
eISSN - 1751-1097
pISSN - 0031-8655
DOI - 10.1111/j.1751-1097.1967.tb08746.x
Subject(s) - kinetics , ultraviolet , dimer , exponential function , pyrimidine , chemistry , differential equation , photochemistry , mathematics , physics , stereochemistry , mathematical analysis , organic chemistry , optics , classical mechanics
A mathematical formulation of the Kinetics of dimner and hydrate formation in pyrimidine dinucleosides upon ultraviolet (u.v.) radiatin is presented. The formulation allows for the possibilities of forming a number of types of dimers each with different cross sections for formtion and reversal, and of forming photo‐irreversible products such as hydrates. The general differential equations descrbinjg the kinetics are solved in terms of a series of exponential terms which are functions of all the cross sections. The way in which any given species of hotoproduct is dependent upon the cross sections is illustrted in several examples. The results have been used to predict the maximum amount of dirner which may be produced for a given set of cross sections and the exposure at which this maximum is expected. The conditions under which dimers may be detected in a mixture of parent and dimer upon re‐irradiation at short wavelengths are examined in terms of the differential equations.