PT  - JOURNAL ARTICLE
AU  - Muir J. Morrison
AU  - Justin B. Kinney
TI  - Modeling multi-particle complexes in stochastic chemical systems
AID  - 10.1101/045435
DP  - 2016 Jan 01
TA  - bioRxiv
PG  - 045435
4099  - http://biorxiv.org/content/early/2016/03/23/045435.short
4100  - http://biorxiv.org/content/early/2016/03/23/045435.full
AB  - Large complexes of classical particles play central roles in biology, in polymer physics, and in other disciplines. However, physics currently lacks mathematical methods for describing such complexes in terms of component particles, interaction energies, and assembly rules. Here we describe a Fock space structure that addresses this need, as well as diagrammatic methods that facilitate the use of this formalism. These methods can dramatically simplify the equations governing both equilibrium and non-equilibrium stochastic chemical systems. A mathematical relationship between the set of all complexes and a list of rules for complex assembly is also identified.