General statistical-thermodynamical treatment of one-dimensional multicomponent molecular hetero-assembly in solution

Abstract

A general treatment has been developed for the multicomponent one-dimensional non-covalent molec-ular hetero-assembly in solution using transfer matrix and sequence generating function approaches. The main result is set of equations, which allows one to obtain any thermodynamical quantities of the mul-ticomponent system and, in particular, experimental observable enabling one to get all equilibrium parameters of molecular interaction. The matrix form of presentation of the key equations allows their direct incorporation into matrix-oriented mathematical software, which leads to a two orders of magni-tude increase in speed of calculation of as compared to other known approaches