International Conference on Applied Mathematics, Simulation, Modelling - Proceedings. (2011), 54-59
Suggested Citation
Chontita Rattanakul, Sahattaya Rattanamongkonkul, Saowaros Srisuk Mathematical modeling of bone formation and resorption: Effects of parathyroid hormone and vitamin D. International Conference on Applied Mathematics, Simulation, Modelling - Proceedings. (2011), 54-59. Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/12128
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Mathematical modeling of bone formation and resorption: Effects of parathyroid hormone and vitamin D
A mathematical model is proposed here in order to investigate the effects of parathyroid hormone and vitamin D on bone formation and resorption processes. Singular perturbation technique is then applied to analyze the model. The conditions on the system parameters for which a limit cycle exists are then derived. Numerical investigation is also carried out to support our theoretical prediction. The result shows that the model can exhibits a periodic solution corresponding to the pulsatile secretion of parathyroid hormone observed in the clinical evidence.
