The dynamics of reversible electron transfer reactions in Debye solvents are studied by employing two coupled diffusion-reaction equations with the rate constants depending on the reaction coordinate. The equations are solved analytically in four limiting cases: fast and slow reactions as well as wide and narrow reaction windows. A general solution for the survival probabilities is obtained by ...

The determination of the maximal ranks of a set of a given type of tensors is a basic problem both in theory and application. In statistical applications, the maximal rank is related to the number of necessary parameters to be built in a tensor model. JaJa [JA] and Sumi et. al [SMS1] developed an optimal bound theory based on Kronecker canonical form of the pencil of two matrices. Theory of mat...

Fibrinolytic protease is well known as a sub class of protease, it has an ability to degrade fibrin (Fujita et al., 1993, 1995; Jeong et al., 2001, 2004; Leonardi et al., 2002; Sumi et al., 1995; Wong et al., 2004). Fibrin is normally formed from Fibrinogen by the action of Thrombin (EC 3.4.21.5). It is sliced by plasmin (EC 3.4.21.7) which is activated from plasminogen by tissue plasminogen ac...