Show simple item record

dc.contributor.advisorDiniz Behn, Cecilia
dc.contributor.authorStack, Nora E. H.
dc.date.accessioned2019-06-14T15:39:21Z
dc.date.accessioned2022-02-03T13:18:13Z
dc.date.available2020-06-04T15:39:27Z
dc.date.available2022-02-03T13:18:13Z
dc.date.issued2019
dc.identifierStack_mines_0052E_11725.pdf
dc.identifierT 8716
dc.identifier.urihttps://hdl.handle.net/11124/173059
dc.descriptionIncludes bibliographical references.
dc.description2019 Spring.
dc.description.abstractThe adult human circadian pacemaker has an intrinsic period just over 24 h that entrains to a 24 h day by environmental cues such as light, eating, and exercise. Dynamic phenomenological mathematical models of the human circadian pacemaker have been developed to simulate the pacemaker's response to light. These models have been widely used for applications such as minimizing jet lag and optimizing experimental protocol design. This thesis is focused on applying mathematical models to account for the interindividual differences that are inherently present in humans and therefore also in circadian data. We optimized an experimental protocol to ensure robust performance across individuals with varying intrinsic circadian periods. Next, we developed novel MCMC-based methodology to use phase shift data to determine the mean intrinsic circadian period of a group of study participants. Finally, we investigated parameter sensitivity of a circadian pacemaker model and applied this knowledge to an adolescent data set where distinct behavior within the cohort was observed. This thesis highlights the utility of human circadian pacemaker models in a variety of contexts and establishes new insights into properties of these models and their influence on behavior.
dc.format.mediumborn digital
dc.format.mediumdoctoral dissertations
dc.languageEnglish
dc.language.isoeng
dc.publisherColorado School of Mines. Arthur Lakes Library
dc.rightsCopyright of the original work is retained by the author.
dc.subjectdata analysis
dc.subjecthuman circadian rhythms
dc.subjectcircadian pacemaker
dc.subjectmathematical modeling
dc.subjectexperimental protocol design
dc.titleApplying mathematical models of human circadian rhythms for experimental design and data analysis
dc.typeText
dc.contributor.committeememberPankavich, Stephen
dc.contributor.committeememberLeiderman, Karin
dc.contributor.committeememberNorrgran, Cynthia
dcterms.embargo.terms2020-06-04
dcterms.embargo.expires2020-06-04
thesis.degree.nameDoctor of Philosophy (Ph.D.)
thesis.degree.levelDoctoral
thesis.degree.disciplineApplied Mathematics and Statistics
thesis.degree.grantorColorado School of Mines
dc.rights.accessEmbargo Expires: 06/04/2020


Files in this item

Thumbnail
Name:
Stack_mines_0052E_11725.pdf
Size:
3.029Mb
Format:
PDF

This item appears in the following Collection(s)

Show simple item record