A mathematical model of bone remodeling process: Effect of vitamin D

Sahattaya Rattanamongkonkul; Wannapa Kunpasuruang; Sittipong Ruktamatakul; Chontita Rattanakul

A mathematical model of bone remodeling process: Effect of vitamin D

Sahattaya Rattanamongkonkul
, Wannapa Kunpasuruang
, Sittipong Ruktamatakul
, Chontita Rattanakul

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

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

5 Citations (Scopus)

Abstract

We propose a system of differential equations in order to investigate bone remodeling process based on the effect of vitamin D. The model is then analyzed by using singular perturbation technique in order to identify different dynamic behaviors exhibited by the model. Numerical simulations are also carried out to support our theoretical predictions. Both of theoretical and numerical results show that the model can exhibit a periodic behavior corresponds to the pulsatile serum level of vitamin D observed in the clinical evidence.

Original language	English
Pages (from-to)	489-498
Number of pages	10
Journal	International Journal of Mathematics and Computers in Simulation
Volume	5
Issue number	6
Publication status	Published - 2011
Externally published	Yes

Keywords

Bone formation
Bone resorption
Mathematical model
Singular perturbation
Vitamin D

Cite this

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title = "A mathematical model of bone remodeling process: Effect of vitamin D",

abstract = "We propose a system of differential equations in order to investigate bone remodeling process based on the effect of vitamin D. The model is then analyzed by using singular perturbation technique in order to identify different dynamic behaviors exhibited by the model. Numerical simulations are also carried out to support our theoretical predictions. Both of theoretical and numerical results show that the model can exhibit a periodic behavior corresponds to the pulsatile serum level of vitamin D observed in the clinical evidence.",

keywords = "Bone formation, Bone resorption, Mathematical model, Singular perturbation, Vitamin D",

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T2 - Effect of vitamin D

AU - Rattanamongkonkul, Sahattaya

AU - Kunpasuruang, Wannapa

AU - Ruktamatakul, Sittipong

AU - Rattanakul, Chontita

PY - 2011

Y1 - 2011

N2 - We propose a system of differential equations in order to investigate bone remodeling process based on the effect of vitamin D. The model is then analyzed by using singular perturbation technique in order to identify different dynamic behaviors exhibited by the model. Numerical simulations are also carried out to support our theoretical predictions. Both of theoretical and numerical results show that the model can exhibit a periodic behavior corresponds to the pulsatile serum level of vitamin D observed in the clinical evidence.

AB - We propose a system of differential equations in order to investigate bone remodeling process based on the effect of vitamin D. The model is then analyzed by using singular perturbation technique in order to identify different dynamic behaviors exhibited by the model. Numerical simulations are also carried out to support our theoretical predictions. Both of theoretical and numerical results show that the model can exhibit a periodic behavior corresponds to the pulsatile serum level of vitamin D observed in the clinical evidence.

KW - Bone formation

KW - Bone resorption

KW - Mathematical model

KW - Singular perturbation

KW - Vitamin D

UR - https://www.scopus.com/pages/publications/80055030833

M3 - Article

AN - SCOPUS:80055030833

SN - 1998-0159

VL - 5

SP - 489

EP - 498

JO - International Journal of Mathematics and Computers in Simulation

JF - International Journal of Mathematics and Computers in Simulation

IS - 6

ER -

A mathematical model of bone remodeling process: Effect of vitamin D

Abstract

Keywords

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