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Modeling multi-particle complexes in stochastic chemical systems

Morrison, Muir J. and Kinney, Justin B. (2016) Modeling multi-particle complexes in stochastic chemical systems. . (Submitted)

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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.

Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
Morrison, Muir J.0000-0002-0768-7234
Kinney, Justin B.0000-0003-1897-3778
Additional Information:The copyright holder for this preprint is the author/funder. It is made available under a CC-BY-ND 4.0 International license. Dated: March 23, 2016. We thank Rob Phillips for inspiring our work on this problem, as well as Jané Kondev, Ilya Nemenman, and Bruce Stillman for helpful discussions. The work of MJM was supported by NSF Graduate Fellowship DGE-1144469. JBK acknowledges support from the Simons Center for Quantitative Biology at Cold Spring Harbor Laboratory.
Funding AgencyGrant Number
NSF Graduate Research FellowshipDGE-1144469
Cold Spring Harbor LaboratoryUNSPECIFIED
Record Number:CaltechAUTHORS:20160418-091105140
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:66232
Deposited By: Tony Diaz
Deposited On:18 Apr 2016 16:16
Last Modified:10 Nov 2021 23:55

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