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dc.contributor.authorJune, Ronald K.
dc.contributor.authorCunningham, J. P.
dc.contributor.authorFyhrie, D. P.
dc.date.accessioned2015-04-02T20:56:39Z
dc.date.available2015-04-02T20:56:39Z
dc.date.issued2013-12
dc.identifier.citationJune RK, Cunningham JP, and Fyhrie DP. A novel algorithm for fitting the stretched exponential function to experimental data. Biomedical Engineering Research, 2(4) 2013.en_US
dc.identifier.issn2306-6008
dc.identifier.urihttps://scholarworks.montana.edu/xmlui/handle/1/8958
dc.description.abstractThe stretched exponential function has many applications in modeling numerous types of experimental relaxation data. However, problems arise when using standard algorithms to fit this function: we have observed that different initializations result in distinct fitted parameters. To avoid this problem, we developed a novel algorithm for fitting the stretched exponential model to relaxation data. This method is advantageous both because it requires only a single adjustable parameter and because it does not require initialization in the solution space. We tested this method on simulated data and experimental stress-relaxation data from bone and cartilage and found favorable results compared to a commonly-used Quasi-Newton method. For the simulated data, strong correlations were found between the simulated and fitted parameters suggesting that this method can accurately determine stretched exponential parameters. When this method was tested on experimental data, high quality fits were observed for both bone and cartilage stress-relaxation data that were significantly better than those determined with the Quasi-Newton algorithm.en_US
dc.subjectApplied mathematicsen_US
dc.subjectHealth sciencesen_US
dc.titleA Novel Method for Curvefitting the Stretched Exponential Function to Experimental Dataen_US
dc.typeArticleen_US
mus.citation.extentfirstpage153en_US
mus.citation.extentlastpage158en_US
mus.citation.issue4en_US
mus.citation.journaltitleBiomedical Engineering Researchen_US
mus.citation.volume2en_US
mus.identifier.categoryEngineering & Computer Scienceen_US
mus.relation.collegeCollege of Engineeringen_US
mus.relation.collegeCollege of Engineering
mus.relation.departmentMechanical & Industrial Engineering.en_US
mus.relation.universityMontana State University - Bozemanen_US


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