{ "id": "0906.4988", "version": "v1", "published": "2009-06-26T18:30:17.000Z", "updated": "2009-06-26T18:30:17.000Z", "title": "A Random Force is a Force, of Course, of Coarse: Decomposing Complex Enzyme Kinetics with Surrogate Models", "authors": [ "Christopher P. Calderon" ], "comment": "11 pages / 6 figures", "doi": "10.1103/PhysRevE.80.061118", "categories": [ "cond-mat.stat-mech", "physics.bio-ph" ], "abstract": "The temporal autocorrelation (AC) function associated with monitoring order parameters characterizing conformational fluctuations of an enzyme is analyzed using a collection of surrogate models. The surrogates considered are phenomenological stochastic differential equation (SDE) models. It is demonstrated how an ensemble of such surrogate models, each surrogate being calibrated from a single trajectory, indirectly contains information about unresolved conformational degrees of freedom. This ensemble can be used to construct complex temporal ACs associated with a \"non-Markovian\" process. The ensemble of surrogates approach allows researchers to consider models more flexible than a mixture of exponentials to describe relaxation times and at the same time gain physical information about the system. The relevance of this type of analysis to matching single-molecule experiments to computer simulations and how more complex stochastic processes can emerge from a mixture of simpler processes is also discussed. The ideas are illustrated on a toy SDE model and on molecular dynamics simulations of the enzyme dihydrofolate reductase.", "revisions": [ { "version": "v1", "updated": "2009-06-26T18:30:17.000Z" } ], "analyses": { "subjects": [ "02.50.-r", "82.39.Fk", "87.15.Vv", "87.10.Mn" ], "keywords": [ "decomposing complex enzyme kinetics", "surrogate models", "random force", "complex temporal acs", "order parameters characterizing conformational fluctuations" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review E", "year": 2009, "month": "Dec", "volume": 80, "number": 6, "pages": "061118" }, "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009PhRvE..80f1118C" } } }