Effect of time delay on bone remodeling process

Suchanan Thongmak; Chontita Rattanakul; Sahattaya Rattanamongkonkul; Wannapa Kunpasuruang; Sittipong Ruktamatakul

Effect of time delay on bone remodeling process

Suchanan Thongmak
, Chontita Rattanakul
, Sahattaya Rattanamongkonkul
, Wannapa Kunpasuruang
, Sittipong Ruktamatakul

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

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

2 Citations (Scopus)

Abstract

We modify a mathematical model of bone remodeling process to study the effect of time delay observed clinically in the process. We then utilize the Hopf bifurcation theorem to investigate the possibility of the occurrence of periodic behavior exhibited by our model. Numerical simulation is also carried out to support our theoretical results. Theoretical and numerical results indicate that the periodic behavior observed clinically in the pulsatile secretion of parathyroid hormone can be expected in our model.

Original language	English
Pages (from-to)	536-543
Number of pages	8
Journal	International Journal of Mathematics and Computers in Simulation
Volume	5
Issue number	6
Publication status	Published - 2011
Externally published	Yes

Keywords

Bone remodeling process
Osteoblast
Osteoclast
Parathyroid hormone
Time delay

Cite this

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title = "Effect of time delay on bone remodeling process",

abstract = "We modify a mathematical model of bone remodeling process to study the effect of time delay observed clinically in the process. We then utilize the Hopf bifurcation theorem to investigate the possibility of the occurrence of periodic behavior exhibited by our model. Numerical simulation is also carried out to support our theoretical results. Theoretical and numerical results indicate that the periodic behavior observed clinically in the pulsatile secretion of parathyroid hormone can be expected in our model.",

keywords = "Bone remodeling process, Osteoblast, Osteoclast, Parathyroid hormone, Time delay",

author = "Suchanan Thongmak and Chontita Rattanakul and Sahattaya Rattanamongkonkul and Wannapa Kunpasuruang and Sittipong Ruktamatakul",

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T1 - Effect of time delay on bone remodeling process

AU - Thongmak, Suchanan

AU - Rattanakul, Chontita

AU - Rattanamongkonkul, Sahattaya

AU - Kunpasuruang, Wannapa

AU - Ruktamatakul, Sittipong

PY - 2011

Y1 - 2011

N2 - We modify a mathematical model of bone remodeling process to study the effect of time delay observed clinically in the process. We then utilize the Hopf bifurcation theorem to investigate the possibility of the occurrence of periodic behavior exhibited by our model. Numerical simulation is also carried out to support our theoretical results. Theoretical and numerical results indicate that the periodic behavior observed clinically in the pulsatile secretion of parathyroid hormone can be expected in our model.

AB - We modify a mathematical model of bone remodeling process to study the effect of time delay observed clinically in the process. We then utilize the Hopf bifurcation theorem to investigate the possibility of the occurrence of periodic behavior exhibited by our model. Numerical simulation is also carried out to support our theoretical results. Theoretical and numerical results indicate that the periodic behavior observed clinically in the pulsatile secretion of parathyroid hormone can be expected in our model.

KW - Bone remodeling process

KW - Osteoblast

KW - Osteoclast

KW - Parathyroid hormone

KW - Time delay

UR - https://www.scopus.com/pages/publications/80055036394

M3 - Article

AN - SCOPUS:80055036394

SN - 1998-0159

VL - 5

SP - 536

EP - 543

JO - International Journal of Mathematics and Computers in Simulation

JF - International Journal of Mathematics and Computers in Simulation

IS - 6

ER -

Effect of time delay on bone remodeling process

Abstract

Keywords

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