Effects of vitamin D and time delay on bone resorption and bone formation: Mathematical modeling approach
A mathematical model proposed by Rattanamongkonkul et al. [1] is modified here to study the effects of both vitamin D and time delay. Hopf bifurcation theorem is then applied to derive the conditions on the model parameters for which a periodic so lution exists. Computer simulation is also carried o...
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th-mahidol.143872018-06-11T11:57:26Z Effects of vitamin D and time delay on bone resorption and bone formation: Mathematical modeling approach Chontita Rattanakul Mahidol University Commission on Higher Education Mathematics A mathematical model proposed by Rattanamongkonkul et al. [1] is modified here to study the effects of both vitamin D and time delay. Hopf bifurcation theorem is then applied to derive the conditions on the model parameters for which a periodic so lution exists. Computer simulation is also carried out in order to support our theoretical result. Both theoretical and numerical results show that a periodic behavior observed clinically in the level of vitamin D can be expected in our model. Moreover, different kinds of dynamic behavior are investigated numerically. 2018-06-11T04:57:26Z 2018-06-11T04:57:26Z 2012-12-01 Article International Journal of Mathematical Models and Methods in Applied Sciences. Vol.6, No.7 (2012), 873-884 19980140 2-s2.0-84871630856 https://repository.li.mahidol.ac.th/handle/123456789/14387 Mahidol University SCOPUS https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84871630856&origin=inward |
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Mathematics Chontita Rattanakul Effects of vitamin D and time delay on bone resorption and bone formation: Mathematical modeling approach |
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A mathematical model proposed by Rattanamongkonkul et al. [1] is modified here to study the effects of both vitamin D and time delay. Hopf bifurcation theorem is then applied to derive the conditions on the model parameters for which a periodic so lution exists. Computer simulation is also carried out in order to support our theoretical result. Both theoretical and numerical results show that a periodic behavior observed clinically in the level of vitamin D can be expected in our model. Moreover, different kinds of dynamic behavior are investigated numerically. |
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Mahidol University |
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Mahidol University Chontita Rattanakul |
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Article |
| author |
Chontita Rattanakul |
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Chontita Rattanakul |
| title |
Effects of vitamin D and time delay on bone resorption and bone formation: Mathematical modeling approach |
| title_short |
Effects of vitamin D and time delay on bone resorption and bone formation: Mathematical modeling approach |
| title_full |
Effects of vitamin D and time delay on bone resorption and bone formation: Mathematical modeling approach |
| title_fullStr |
Effects of vitamin D and time delay on bone resorption and bone formation: Mathematical modeling approach |
| title_full_unstemmed |
Effects of vitamin D and time delay on bone resorption and bone formation: Mathematical modeling approach |
| title_sort |
effects of vitamin d and time delay on bone resorption and bone formation: mathematical modeling approach |
| publishDate |
2018 |
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https://repository.li.mahidol.ac.th/handle/123456789/14387 |
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