Papers Submitted to WSEAS Conferences and WSEAS Journals: Wseas Transactions

Monday, 8 August 2011

Wseas Transactions

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The following information was submitted:

Transactions: INTERNATIONAL JOURNAL of MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES
Transactions ID Number: 17-245
Full Name: Chontita Rattanakul
Position: Assistant Professor
Age: ON
Sex: Female
Address: Department of Mathematics, Faculty of Science, Mahidol University,Bangkok, 10400
Country: THAILAND
Tel: 6687984766
Tel prefix:
Fax: 6622015343
E-mail address: sccrt@mahidol.ac.th
Other E-mails: g4136815@yahoo.com
Title of the Paper: a mathematical model of bone remodeling process:effects of parathyroid hormone and vitamin D
Authors as they appear in the Paper: Chontita Rattanakul,Sahattaya Rattanamongkonkul,Wannapa Kunpasuruang,Sittipong Ruktamatakul,Saowaros Srisuk
Email addresses of all the authors: sccrt@mahidol.ac.th,sahattay@buu.ac.th,wannapa@su.ac.th,faasspr@nontri.ku.ac.th,saowaros.srisuk@gmail.com
Number of paper pages: 10
Abstract: Parathyroid hormone and vitamin D play an important role in calcium homeostasis as well as in bone remodeling process. We propose here a system of nonlinear differential equations to describe bone remodeling process accounted for the concentrations of parathyroid hormone and vitamin D, the number of active osteoclasts and the number of active osteoblasts. We then utilize the singular perturbation technique to analyze our model in order to obtain the delineating conditions on the system parameters for which the different kinds of dynamic behavior can be occurred. The model is then investigated numerically. The theoretical and numerical results show that a periodic behavior which corresponds to the pulsatile pattern observed clinically in the levels of parathyroid hormone and vitamin D can be expected from our model.
Keywords: Bone remodeling,Mathematical model,Parathyroid hormone,Singular perturbation,Vitamin D
EXTENSION of the file: .pdf
Special (Invited) Session: mathematical modeling of bone formation and resorption:effects of parathyroid hormone and vitamin D
Organizer of the Session: 303-199
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