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A delay-differential equations model of calcium homeostasis: Effects of parathyroid hormone and vitamin D

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dc.contributor.authorInthira Chaiyaen_US
dc.contributor.authorChontita Rattanakulen_US
dc.contributor.authorSahattaya Rattanamongkonkulen_US
dc.contributor.authorWannapa Panitsupakamonen_US
dc.contributor.authorSittipong Ruktamatakulen_US
dc.contributor.otherMahidol Universityen_US
dc.date.accessioned2018-10-19T04:50:56Z
dc.date.available2018-10-19T04:50:56Z
dc.date.issued2013-11-04en_US
dc.description.abstractCalcium is essential for human. Apart from providing skeletal strength, calcium also plays important role in a wide range of biological functions. In this paper, calcium homeostasis, the mechanism that maintains the serum calcium level to be in the normal range, is investigated mathematically. A mathematical model is formulated to incorporate the effects of parathyroid hormone, vitamin D and time delay on calcium homeostasis. The conditions on the model parameters for which a periodic solution exists are then derived by means of Hopf bifurcation theorem. Moreover, various kinds of dynamic behavior of the model are also investigated numerically.en_US
dc.identifier.citationInternational Journal of Mathematics and Computers in Simulation. Vol.7, No.5 (2013), 398-405en_US
dc.identifier.issn19980159en_US
dc.identifier.other2-s2.0-84886709352en_US
dc.identifier.urihttps://repository.li.mahidol.ac.th/handle/20.500.14594/31609
dc.rightsMahidol Universityen_US
dc.rights.holderSCOPUSen_US
dc.source.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84886709352&origin=inwarden_US
dc.subjectComputer Scienceen_US
dc.subjectMathematicsen_US
dc.titleA delay-differential equations model of calcium homeostasis: Effects of parathyroid hormone and vitamin Den_US
dc.typeArticleen_US
dspace.entity.typePublication
mu.datasource.scopushttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84886709352&origin=inwarden_US

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