Modeling the effects of parathyroid hormone and calcitonin on calcium homeostasis

Inthira Chaiya; Chontita Rattanakul; Sahattaya Rattanamongkonkul; Wannapa Panitsupakamon; Sittipong Ruktamatakul

Modeling the effects of parathyroid hormone and calcitonin on calcium homeostasis

Inthira Chaiya
, Chontita Rattanakul
, Sahattaya Rattanamongkonkul
, Wannapa Panitsupakamon
, Sittipong Ruktamatakul

Mahidol University
Commission on Higher Education
Burapha University
Silpakorn University
Kasetsart University

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	456-465
Number of pages	10
Journal	International Journal of Mathematics and Computers in Simulation
Volume	7
Issue number	6
Publication status	Published - 2013
Externally published	Yes

Keywords

Calcitonin
Calcium homeostasis
Mathematical model
Parathyroid hormone

Cite this

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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.",

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AU - Chaiya, Inthira

AU - Rattanakul, Chontita

AU - Rattanamongkonkul, Sahattaya

AU - Panitsupakamon, Wannapa

AU - Ruktamatakul, Sittipong

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

KW - Calcitonin

KW - Calcium homeostasis

KW - Mathematical model

KW - Parathyroid hormone

UR - https://www.scopus.com/pages/publications/84886716242

M3 - Article

AN - SCOPUS:84886716242

SN - 1998-0159

VL - 7

SP - 456

EP - 465

JO - International Journal of Mathematics and Computers in Simulation

JF - International Journal of Mathematics and Computers in Simulation

IS - 6

ER -

Modeling the effects of parathyroid hormone and calcitonin on calcium homeostasis

Abstract

Keywords

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