Microscopic description of DNA thermal denaturation

A class of individual-based models

“…We show that the class corresponds to the partially integral stochastic semigroups and under some more restrictive assumptions leads to the stability result. We discuss possible applica-tions of the general theory such as redistribution of individuals - [10], thermal denaturation of DNA [7], and tendon healing process - [11].…”

“…In Ref. [7] some aspects of deoxyribonucleic acid DNA thermal denaturation process (cf. [23], [24], [2]) were considered.…”

“…Ref. [7] is a continuing the idea of [8] where a preliminary mesoscopic (kinetic) model was discussed. In Ref.…”

“…In Ref. [7] a new, more adequate, model that takes into account at the individual (microscopic) level the time evolution of the probability distribution of the state of all hydrogen bonds. Two types of bonds (with two and three hydrogen bonds) and the direct dependence on the temperature are included in the model.…”

“…In particular under some rather restrictive assumptions we observe that any, even non-factorized, initial probability density tends in the evolution to a factorized equilibrium probability density - [16]. We discuss possible applications of the general theory such as redistribution of individuals -[10], thermal denaturation of DNA [7], and tendon healing process - [11].…”