Mathematical Model for Estimating Parameters of Swelling Drug Delivery Devices in a Two-Phase Release
Abstract
:1. Introduction
2. Mathematical Solution for Drug Release from a Swelling Device
2.1. One-Phase Model
2.2. Two-Phase Model
2.3. Algorithm for the Two-Phase Model
- Step 1
- Input the experimental data with discrete value .Time, : .Devices’ radius, : .Fractional drug release, : .
- Step 2
- Find the determined growth parameter, , such that it minimises
- Step 3
- Output the determined growth parameter, . Use for the next step.
- Step 4
- Find such that it minimisesIf , then , and .
- Step 5
- Output the optimal parameters, , , and , and stop.
3. The Experiment
3.1. Drug Loading
3.2. Drug Release
4. Results and Discussion
4.1. Model Test for Device Swelling
4.2. Model Test on Drug Release Profiles
5. Conclusions
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
References
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Device | Growth Parameter, | Least-Squares Error |
---|---|---|
208035 | 1.49918 | 0.27483 |
307035 | 1.17298 | 0.44279 |
406035 | 1.16996 | 0.25559 |
Devices | One-Phase Model | Two-Phase Model | ||
---|---|---|---|---|
(mm/s) | () | () | (s) | |
208035 | 1.30515 | 7.37805 | 2.22787 | 7200 |
307035 | 8.58865 | 3.25908 | 1.49489 | 7200 |
406035 | 5.10114 | 7.90305 | 9.35150 | 7200 |
Device | ||
---|---|---|
() | () | |
208035 | 0.20984 | 0.14669 |
307035 | 0.14255 | 0.14895 |
406035 | 0.07102 | 0.15310 |
Device | One-Phase Model | Two-Phase Model |
---|---|---|
208035 | 0.06429 | 0.01237 |
307035 | 0.08800 | 0.00477 |
406035 | 0.13910 | 0.01015 |
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Setapa, A.; Ahmad, N.; Mohd Mahali, S.; Mohd Amin, M.C.I. Mathematical Model for Estimating Parameters of Swelling Drug Delivery Devices in a Two-Phase Release. Polymers 2020, 12, 2921. https://doi.org/10.3390/polym12122921
Setapa A, Ahmad N, Mohd Mahali S, Mohd Amin MCI. Mathematical Model for Estimating Parameters of Swelling Drug Delivery Devices in a Two-Phase Release. Polymers. 2020; 12(12):2921. https://doi.org/10.3390/polym12122921
Chicago/Turabian StyleSetapa, Amanina, Naveed Ahmad, Shalela Mohd Mahali, and Mohd Cairul Iqbal Mohd Amin. 2020. "Mathematical Model for Estimating Parameters of Swelling Drug Delivery Devices in a Two-Phase Release" Polymers 12, no. 12: 2921. https://doi.org/10.3390/polym12122921