An analytical method to connect open curves for modeling protein-bound DNA minicircles.

ABSTRACT: We introduce an analytical method to generate the pathway of a closed protein-bound DNA minicircle. We develop an analytical equation to connect two open curves smoothly and use the derived expressions to join the ends of two helical pathways and form models of nucleosome-decorated DNA minicircles. We find that the simplest smooth connector which satisfies the boundary conditions at the end points and the length requirement for such connections to be a quartic function on the xy-plane and linear along the z-direction. This is a general method which can be used to connect any two open curves with well defined mathematical definitions as well as pairs of discrete systems found experimentally. We used this method to describe the configurations of torsionally relaxed, 360-base pa

SUBMITTER: Sabok-Sayr SA 

PROVIDER: S-EPMC9438552 | biostudies-literature | 2020 Oct

REPOSITORIES: biostudies-literature