3 papers
math.PR2018
Dynamic Bounds on Stochastic Chemical Kinetic Systems Using Semidefinite Programming
Garrett R. Dowdy, Paul I. Barton
Applying the method of moments to the chemical master equation (CME) appearing in stochastic chemical kinetics often leads to the so-called closure problem. Recently, several autho…
math.OC2018
An improved multi-parametric programming algorithm for flux balance analysis of metabolic networks
Amir Akbari, Paul I. Barton
Flux balance analysis has proven an effective tool for analyzing metabolic networks. In flux balance analysis, reaction rates and optimal pathways are ascertained by solving a line…
math.DS2016
Directed Self-Assembly of Linear Nanostructures by Optimal Control of External Electrical Fields
Arash Komaee, Paul I. Barton
An optimal control strategy is developed to construct nanostructures of desired geometry along line segments by means of directed self-assembly of charged particles. Such a control…