Abstract
Calcium is essential for human. Apart from providing skeletal strength, calcium also plays important role in a wide range of biological functions. In this paper, calcium homeostasis, the mechanism that maintains the serum calcium level to be in the normal range, is investigated mathematically. A mathematical model is formulated to incorporate the effects of parathyroid hormone, vitamin D and time delay on calcium homeostasis. The conditions on the model parameters for which a periodic solution exists are then derived by means of Hopf bifurcation theorem. Moreover, various kinds of dynamic behavior of the model are also investigated numerically.
| Original language | English |
|---|---|
| Pages (from-to) | 398-405 |
| Number of pages | 8 |
| Journal | International Journal of Mathematics and Computers in Simulation |
| Volume | 7 |
| Issue number | 5 |
| Publication status | Published - 2013 |
Keywords
- Calcium homeostasis
- Parathyroid hormone
- Time delay
- Vitamin D
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