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Mathematical modeling of bone formation and resorption: Effects of parathyroid hormone and prolactin

  • Mahidol University
  • PERDO

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We propose a mathematical model to describe the mechanism of bone formation and resorption based on the effects of parathyroid hormone and prolactin. The singular perturbation technique is then applied to analyze our model. We derived the explicit conditions on the system parameters which detect limit cycle behavior which mimics the oscillatory behavior observed in the clinical data. Finally, numerical investigation is carried out to support our theoretical analysis.

Original languageEnglish
Title of host publicationLatest Trends on Applied Mathematics, Simulation, Modelling - 4th International Conference on Applied Mathematics, Simulation, Modelling, ASM'10
Pages143-149
Number of pages7
Publication statusPublished - 2010
Externally publishedYes
Event4th International Conference on Applied Mathematics, Simulation, Modelling, ASM'10 - Corfu Island, Greece
Duration: 22 Jul 2010 → 25 Jul 2010

Publication series

NameInternational Conference on Applied Mathematics, Simulation, Modelling - Proceedings
ISSN (Print)1792-4332

Conference

Conference4th International Conference on Applied Mathematics, Simulation, Modelling, ASM'10
Country/TerritoryGreece
CityCorfu Island
Period22/07/10 → 25/07/10

Keywords

  • Bone resorption
  • Mathematical model
  • Parathyroid hormone
  • Prolactin

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