Nonlinear Measures of Correlation and Dimensionality Reduction with Application to Protein Motion

dc.contributor.authorHong, Nancy
dc.contributor.authorJasien, Emily
dc.contributor.authorPagan, Christopher
dc.contributor.authorXie, Daniel
dc.contributor.authorCoulibaly, Zana
dc.contributor.authorAdragni, Kofi P.
dc.contributor.authorThorpe, Ian F.
dc.date.accessioned2018-09-25T19:43:03Z
dc.date.available2018-09-25T19:43:03Z
dc.date.issued2014
dc.description.abstractThe study of allostery, a regulatory process that occurs in complex macromolecules such as proteins, is of particular interest as it has a key role in determining the function of these macromolecules. Allostery produces motional correlations that can be analyzed using different statistical methods. We implement a program in the statistical programming language R that uses polynomial regression and leave-one-out cross-validation to model relationships in data obtained from different sites in the protein, using the square root of the coefficient of determination to detect both linear and non-linear trends. The performance of the program will be studied on a simulated data set with linear and non-linear relationships and the effectiveness of the implemented methods as it relates to this problem will be assessed.en_US
dc.description.sponsorshipThese results were obtained as part of the REU Site: Interdisciplinary Program in High Performance Computing (www.umbc.edu/hpcreu) in the Department of Mathematics and Statistics at the University of Maryland, Baltimore County (UMBC) in Summer 2014. This program is funded jointly by the National Science Foundation and the National Security Agency (NSF grant no. DMS{1156976), with additional support from UMBC, the Department of Mathematics and Statistics, the Center for Interdisciplinary Research and Consulting (CIRC), and the UMBC High Performance Computing Facility (HPCF). HPCF is supported by the U.S. National Science Foundation through the MRI program (grant nos. CNS{0821258 and CNS{1228778) and the SCREMS program (grant no. DMS{0821311), with additional substantial support from UMBC. Co-author Christopher Pagan was supported, in part, by the UMBC National Security Agency (NSA) Scholars Program through a contract with the NSA. Graduate assistant Zana Coulibaly was supported during Summer 2014 by UMBC.en_US
dc.description.urihttps://userpages.umbc.edu/~gobbert/papers/REU2014Team1.pdfen_US
dc.format.extent7 pagesen_US
dc.genretechnical reporten_US
dc.identifierdoi:10.13016/M2416T337
dc.identifier.urihttp://hdl.handle.net/11603/11385
dc.language.isoen_USen_US
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Mathematics Department Collection
dc.relation.ispartofUMBC Faculty Collection
dc.relation.ispartofUMBC Student Collection
dc.relation.ispartofUMBC Computer Science and Electrical Engineering Department
dc.relation.ispartofUMBC Chemistry & Biochemistry Department
dc.relation.ispartofseriesHPCF Technical Report;HPCF-2014-11
dc.rightsThis item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.
dc.subjectUMBC High Performance Computing Facility (HPCF)en_US
dc.subjectallostery
dc.subjectcomplex macromolecules
dc.subjectmotional correlations that can be analyzed using different statistical methods
dc.subjectpolynomial regression and leave-one-out cross-validation
dc.subjectmodel relationships in data obtained from different sites in the protein
dc.titleNonlinear Measures of Correlation and Dimensionality Reduction with Application to Protein Motionen_US
dc.typeTexten_US

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