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A Mathematical Model of Acute Response of Parathyroid Hormone to Changes in Plasma Ionized Calcium in Normal Humans

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dc.contributor.advisorYossi Chait
dc.contributor.advisorChristopher V. Hollot
dc.contributor.authorShrestha, Rajiv P
dc.contributor.departmentUniversity of Massachusetts Amherst
dc.contributor.departmentMechanical Engineering
dc.date2023-09-22T19:30:48.000
dc.date.accessioned2024-04-26T20:38:01Z
dc.date.available2024-04-26T20:38:01Z
dc.date.issued2008-01-01
dc.date.submitted2008-May
dc.description.abstractA complex bio-mechanism, referred to as calcium homeostasis, regulates plasma ionized calcium (Ca++) concentration in the human body to within a narrow physiologic range which is crucial for maintaining normal physiology and metabolism. Various metabolic disorders and pathologic conditions originate from acute and/or chronic disturbances/disorders in calcium homeostatic system. This system relies on numerous sub-systems which operate in different time-scales ranging from minutes to weeks. In this thesis we focus on a particular sub-system that operates on the time-scale of minutes; the dynamics involves the response of the parathyroid glands to acute changes in plasma Ca++ concentration. We develop a two-pool, linear time-varying model describing the dynamics of the sub-system. We show that this model can predict dynamics observed in clinical tests of induced hypo- and hyper-calcemia in normal humans. In addition, we develop a new protocol for the construction of a Ca-PTH reverse sigmoid curve based on the mathematical model. This protocol removes deficiencies in current protocols in that the resulting curve is invariant with respect to the subject's axis dynamics and calcium clamp test dynamics.
dc.description.degreeMaster of Science (M.S.)
dc.identifier.doihttps://doi.org/10.7275/491878
dc.identifier.urihttps://hdl.handle.net/20.500.14394/44623
dc.relation.urlhttps://scholarworks.umass.edu/cgi/viewcontent.cgi?article=1163&context=theses&unstamped=1
dc.source.statuspublished
dc.subjectMechanical engineering
dc.subjectMathematical Model
dc.subjectPTH response
dc.subjectCalcium homeostasis
dc.subjectReverses-sigmoid curve
dc.subjectMathematics
dc.titleA Mathematical Model of Acute Response of Parathyroid Hormone to Changes in Plasma Ionized Calcium in Normal Humans
dc.typeopen
dc.typearticle
dc.typethesis
digcom.contributor.authorisAuthorOfPublication|email:rshresth@engin.umass.edu|institution:University of Massachusetts Amherst|Shrestha, Rajiv P
digcom.identifiertheses/118
digcom.identifier.contextkey491878
digcom.identifier.submissionpaththeses/118
dspace.entity.typePublication
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