Computation of algebraic system from self-assembly
Qing Jun Luo · University of Southern California Digital Library · 2015
We are interested in finding real positive solutions to posynomial systems of the form: [equation] with a_sj set R and pi_j, c_3 set R_>0. These systems arise in the study of algorithmic self-assembly. A positive solution of p=(p_1,...,p_m) to such a system corresponds to an equilibrium of a reversible self-assembly system. It has been proven that the real positive solution to such a system is unique when the underlying polytope: [equation] has a real positive point.