Dynamical Modelling of Bone Formation and Resorption under Impulsive Estrogen Supplement: Effects of Parathyroid Hormone and Prolactin
Osteoporosis, a bone metabolic disease, is one of the major diseases occurring in aging population especially in postmenopausal women. A system of impulsive differential equations is developed in this paper in order to investigate the effects of parathyroid hormone and prolactin on bone-forming cell...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2021/5435876 |
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| author | Supassorn Aekthong Chontita Rattanakul |
| author_facet | Supassorn Aekthong Chontita Rattanakul |
| author_sort | Supassorn Aekthong |
| collection | DOAJ |
| description | Osteoporosis, a bone metabolic disease, is one of the major diseases occurring in aging population especially in postmenopausal women. A system of impulsive differential equations is developed in this paper in order to investigate the effects of parathyroid hormone and prolactin on bone-forming cells, namely, osteoblasts, and bone-resorbing cells, namely, osteoclasts, under the impulsive estrogen supplement. The theoretical analysis of the developed model is carried out so that we obtain the conditions on the system parameters in which the stability and permanence of the model can occur. Computer simulations are also provided to illustrate the theoretical predictions. |
| format | Article |
| id | doaj-art-3661e22f2adc4e7aa0f17b759ef97d0b |
| institution | Kabale University |
| issn | 1687-0425 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-3661e22f2adc4e7aa0f17b759ef97d0b2025-02-03T01:30:33ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252021-01-01202110.1155/2021/5435876Dynamical Modelling of Bone Formation and Resorption under Impulsive Estrogen Supplement: Effects of Parathyroid Hormone and ProlactinSupassorn Aekthong0Chontita Rattanakul1Department of MathematicsDepartment of MathematicsOsteoporosis, a bone metabolic disease, is one of the major diseases occurring in aging population especially in postmenopausal women. A system of impulsive differential equations is developed in this paper in order to investigate the effects of parathyroid hormone and prolactin on bone-forming cells, namely, osteoblasts, and bone-resorbing cells, namely, osteoclasts, under the impulsive estrogen supplement. The theoretical analysis of the developed model is carried out so that we obtain the conditions on the system parameters in which the stability and permanence of the model can occur. Computer simulations are also provided to illustrate the theoretical predictions.http://dx.doi.org/10.1155/2021/5435876 |
| spellingShingle | Supassorn Aekthong Chontita Rattanakul Dynamical Modelling of Bone Formation and Resorption under Impulsive Estrogen Supplement: Effects of Parathyroid Hormone and Prolactin International Journal of Mathematics and Mathematical Sciences |
| title | Dynamical Modelling of Bone Formation and Resorption under Impulsive Estrogen Supplement: Effects of Parathyroid Hormone and Prolactin |
| title_full | Dynamical Modelling of Bone Formation and Resorption under Impulsive Estrogen Supplement: Effects of Parathyroid Hormone and Prolactin |
| title_fullStr | Dynamical Modelling of Bone Formation and Resorption under Impulsive Estrogen Supplement: Effects of Parathyroid Hormone and Prolactin |
| title_full_unstemmed | Dynamical Modelling of Bone Formation and Resorption under Impulsive Estrogen Supplement: Effects of Parathyroid Hormone and Prolactin |
| title_short | Dynamical Modelling of Bone Formation and Resorption under Impulsive Estrogen Supplement: Effects of Parathyroid Hormone and Prolactin |
| title_sort | dynamical modelling of bone formation and resorption under impulsive estrogen supplement effects of parathyroid hormone and prolactin |
| url | http://dx.doi.org/10.1155/2021/5435876 |
| work_keys_str_mv | AT supassornaekthong dynamicalmodellingofboneformationandresorptionunderimpulsiveestrogensupplementeffectsofparathyroidhormoneandprolactin AT chontitarattanakul dynamicalmodellingofboneformationandresorptionunderimpulsiveestrogensupplementeffectsofparathyroidhormoneandprolactin |