Publication: Modeling the effects of parathyroid hormone and calcitonin on calcium homeostasis
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2013-11-04
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19980159
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2-s2.0-84886716242
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item.page.oaire.edition
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Mahidol University
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International Journal of Mathematics and Computers in Simulation. Vol.7, No.6 (2013), 456-465
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Inthira Chaiya, Chontita Rattanakul, Sahattaya Rattanamongkonkul, Wannapa Panitsupakamon, Sittipong Ruktamatakul (2013). Modeling the effects of parathyroid hormone and calcitonin on calcium homeostasis. Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/31614.
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Modeling the effects of parathyroid hormone and calcitonin on calcium homeostasis
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Abstract
In this paper, we propose a system of ordinary differential equations in order to describe calcium homeostasis by considering parathyroid hormone and calcitonin as two major regulating hormones. Geometric singular perturbation is utilized in order to obtain the conditions on the system parameters that differentiate various kinds of dynamic behavior. Numerical simulations are also carried out to confirm our theoretical predictions.