Modelling chemistry and biology after implantation of a drug-eluting stent. Part Ⅱ: Cell proliferation
The aim of a drug eluting stent is to prevent restenosis of arteries following percutaneous balloon angioplasty. A long term goal of research in this area is to use modelling to optimise the design of these stents to maximise their efficiency. A key obstacle to implementing this is the lack of a mat...
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| Format: | Article |
| Language: | English |
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AIMS Press
2018-09-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2018050 |
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| _version_ | 1832590088239841280 |
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| author | Adam Peddle William Lee Tuoi Vo |
| author_facet | Adam Peddle William Lee Tuoi Vo |
| author_sort | Adam Peddle |
| collection | DOAJ |
| description | The aim of a drug eluting stent is to prevent restenosis of arteries following percutaneous balloon angioplasty. A long term goal of research in this area is to use modelling to optimise the design of these stents to maximise their efficiency. A key obstacle to implementing this is the lack of a mathematical model of the biology of restenosis. Here we investigate whether mathematical models of cancer biology can be adapted to model the biology of restenosis and the effect of drug elution. We show that relatively simple, rate kinetic models give a good description of available data of restenosis in animal experiments, and its modification by drug elution. |
| format | Article |
| id | doaj-art-ee93fc1d200f42f39cf81204db1a03d4 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2018-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-ee93fc1d200f42f39cf81204db1a03d42025-01-24T02:41:02ZengAIMS PressMathematical Biosciences and Engineering1551-00182018-09-011551117113510.3934/mbe.2018050Modelling chemistry and biology after implantation of a drug-eluting stent. Part Ⅱ: Cell proliferationAdam Peddle0William Lee1Tuoi Vo2College of Engineering, Mathematics, and Physical Sciences, University of Exeter, Exeter, Devon, EX4 4QF, United KingdomDepartment of Mathematics, University of Portsmouth, Winston Churchill Ave, Portsmouth PO1 2UP, United KingdomMathematics Applications Consortium for Science and Industry, University of Limerick, Castletroy, Co. Limerick, IrelandThe aim of a drug eluting stent is to prevent restenosis of arteries following percutaneous balloon angioplasty. A long term goal of research in this area is to use modelling to optimise the design of these stents to maximise their efficiency. A key obstacle to implementing this is the lack of a mathematical model of the biology of restenosis. Here we investigate whether mathematical models of cancer biology can be adapted to model the biology of restenosis and the effect of drug elution. We show that relatively simple, rate kinetic models give a good description of available data of restenosis in animal experiments, and its modification by drug elution.https://www.aimspress.com/article/doi/10.3934/mbe.2018050drug-eluting stentsdrug deliverycell proliferationmathematical modellingparameter estimation |
| spellingShingle | Adam Peddle William Lee Tuoi Vo Modelling chemistry and biology after implantation of a drug-eluting stent. Part Ⅱ: Cell proliferation Mathematical Biosciences and Engineering drug-eluting stents drug delivery cell proliferation mathematical modelling parameter estimation |
| title | Modelling chemistry and biology after implantation of a drug-eluting stent. Part Ⅱ: Cell proliferation |
| title_full | Modelling chemistry and biology after implantation of a drug-eluting stent. Part Ⅱ: Cell proliferation |
| title_fullStr | Modelling chemistry and biology after implantation of a drug-eluting stent. Part Ⅱ: Cell proliferation |
| title_full_unstemmed | Modelling chemistry and biology after implantation of a drug-eluting stent. Part Ⅱ: Cell proliferation |
| title_short | Modelling chemistry and biology after implantation of a drug-eluting stent. Part Ⅱ: Cell proliferation |
| title_sort | modelling chemistry and biology after implantation of a drug eluting stent part ii cell proliferation |
| topic | drug-eluting stents drug delivery cell proliferation mathematical modelling parameter estimation |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2018050 |
| work_keys_str_mv | AT adampeddle modellingchemistryandbiologyafterimplantationofadrugelutingstentpartiicellproliferation AT williamlee modellingchemistryandbiologyafterimplantationofadrugelutingstentpartiicellproliferation AT tuoivo modellingchemistryandbiologyafterimplantationofadrugelutingstentpartiicellproliferation |