Publication: Effects of vitamin D and time delay on bone resorption and bone formation: Mathematical modeling approach
| dc.contributor.author | Chontita Rattanakul | en_US |
| dc.contributor.other | Mahidol University | en_US |
| dc.contributor.other | Commission on Higher Education | en_US |
| dc.date.accessioned | 2018-06-11T04:57:26Z | |
| dc.date.available | 2018-06-11T04:57:26Z | |
| dc.date.issued | 2012-12-01 | en_US |
| dc.description.abstract | 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. | en_US |
| dc.identifier.citation | International Journal of Mathematical Models and Methods in Applied Sciences. Vol.6, No.7 (2012), 873-884 | en_US |
| dc.identifier.issn | 19980140 | en_US |
| dc.identifier.other | 2-s2.0-84871630856 | en_US |
| dc.identifier.uri | https://repository.li.mahidol.ac.th/handle/123456789/14387 | |
| dc.rights | Mahidol University | en_US |
| dc.rights.holder | SCOPUS | en_US |
| dc.source.uri | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84871630856&origin=inward | en_US |
| dc.subject | Mathematics | en_US |
| dc.title | Effects of vitamin D and time delay on bone resorption and bone formation: Mathematical modeling approach | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| mu.datasource.scopus | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84871630856&origin=inward | en_US |