TY - GEN
T1 - A mathematical model of bone formation and resorption
T2 - 5th International Conference on Applied Mathematics, Simulation, Modelling, ASM'11
AU - Rattanakul, Chontita
AU - Rattanamongkonkul, Sahattaya
PY - 2011
Y1 - 2011
N2 - We propose here a nonlinear mathematical model of bone formation and resorption process accounting for the concentration of calcitonin, the population of osteoclastic cells, and that of the osteoblastic cells. Singular perturbation technique is then applied to the model in order to obtain the conditions on the system parameters for which a periodic solution exists. Numerical simulation of the model is also carried out. The result shows that the model can exhibit a periodic behavior which has been observed in the secretion pattern of calcitonin in normal individuals. The model is then modified to investigate the effects of estrogen and calcitonin treatments in osteoporosis patients.
AB - We propose here a nonlinear mathematical model of bone formation and resorption process accounting for the concentration of calcitonin, the population of osteoclastic cells, and that of the osteoblastic cells. Singular perturbation technique is then applied to the model in order to obtain the conditions on the system parameters for which a periodic solution exists. Numerical simulation of the model is also carried out. The result shows that the model can exhibit a periodic behavior which has been observed in the secretion pattern of calcitonin in normal individuals. The model is then modified to investigate the effects of estrogen and calcitonin treatments in osteoporosis patients.
KW - Bone formation
KW - Bone resorption
KW - Calcitonin
KW - Mathematical model
UR - https://www.scopus.com/pages/publications/82055200220
M3 - Conference contribution
AN - SCOPUS:82055200220
SN - 9781618040169
T3 - International Conference on Applied Mathematics, Simulation, Modelling - Proceedings
SP - 36
EP - 41
BT - Recent Researches in Applied Mathematics, Simulation and Modelling - Proceedings of the 5th International Conference on Applied Mathematics, Simulation, Modelling, ASM'11
Y2 - 14 July 2011 through 16 July 2011
ER -