The inverse problems of reaction kinetics

The majority of problems of reaction kinetics can be formulated using the general scheme below. Let V be the set of (complex chemical) reactions and let A and B be nonempty sets. Let us consider the diagram  

A direct problem is attacked if, for example, the solution of a kinetic differential equation is determined either analytically or numerically, or when the qualitative properties of the solutions are investigated (in this case a subset of. (R X /I) is determined in which D(v) may belong), or when the stochastic model of a reaction is simulated. 

Solutions of all the steps of direct problems serve as tools to solve inverse problems, the theory of formal reaction kinetics is applied in such a way that it helps to draw conclusions on the mechanisms of (not necessarily chemical) processes from measurements of a component of the process. 

Here we concentrate upon a special part of direct and inverse problems  

Finally, let us mention that the general definition of the inverse problem given here is in accordance with that used in reaction kinetics (Emanuel Knorre, 1975, p. 154 Jacquez, 1972, pp. 1, 132, 152, 187, 211 Toth Erdi, 1978, pp. 303-7 Yablonskii Bykov, 1977) and that used in other sciences and mathematics (Anger, 1979, p. 107 Keller, 1976 Peil, 1979 Sverdlove, 1977 Anikonov, 1978). The importance of the notion is reflected in the fact that a new journal entitled Inverse Problems has been started in 1985. 

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Hars, V. Toth, J. (1981). On the inverse problem of reaction kinetics. Coll. Math. Soc. Janos Bolyai 30. North Holland, Amsterdam, pp. 363-79. 

Vera Hars "On the Inverse Problem of Reaction Kinetics", in Coll. 

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