Morrison, Muir J. and Kinney, Justin B. (2016) Modeling multi-particle complexes in stochastic chemical systems. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20160418-091105140
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Abstract
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) | |||||||||
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| 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. | |||||||||
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| Record Number: | CaltechAUTHORS:20160418-091105140 | |||||||||
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:20160418-091105140 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 66232 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 18 Apr 2016 16:16 | |||||||||
| Last Modified: | 18 Apr 2016 16:16 |
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