Multivariate Poisson random variables subject to linear integer constraints arise in several application areas, such as queuing and biomolecular networks. This note shows how to compute conditional statistics in this context, by employing WF Theory and associated algorithms. A symbolic computation package has been developed and is made freely available. A discussion of motivating biomolecular p...

Michael J. McLachlan, Ryan P. Sullivan and Huimin Zhao Center for Biophysics and Computational Biology, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA Department of Chemical and Biomolecular Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA Departments of Chemical and Biomolecular Engineering, and Chemistry, University of Illinois at Urbana-Champa...

Complexity and self-organisation are critical yet poorly understood phenomena. This project aims to develop and apply mathematical and computational approaches that will identify principles governing the emergent organisation of selforganising biomolecular systems. Computational methods for characterising the dynamics of these intrinsically complex processes will be developed and applied to pro...

riboflavin and protoporphyrin ix are two molecules that participate in oxidation and reduction reactions in the living cell. changing some functional groups of riboflavin and protoporphyrin ix can provide compounds with self-assembled monolayer properties with wide applications in designing the molecular electronic devices. in this study, the amphiphilic structure of riboflavin and protoporphyr...