Model of dissolution in the framework of tissue engineering and drug delivery
- 229 Downloads
Dissolution phenomena are ubiquitously present in biomaterials in many different fields. Despite the advantages of simulation-based design of biomaterials in medical applications, additional efforts are needed to derive reliable models which describe the process of dissolution. A phenomenologically based model, available for simulation of dissolution in biomaterials, is introduced in this paper. The model turns into a set of reaction–diffusion equations implemented in a finite element numerical framework. First, a parametric analysis is conducted in order to explore the role of model parameters on the overall dissolution process. Then, the model is calibrated and validated versus a straightforward but rigorous experimental setup. Results show that the mathematical model macroscopically reproduces the main physicochemical phenomena that take place in the tests, corroborating its usefulness for design of biomaterials in the tissue engineering and drug delivery research areas.
KeywordsDissolution Reaction–diffusion equations Computational simulation Tissue engineering Drug delivery
This work was supported by the Ministry of Economy and Competitiveness of the State General Administration of Spain under the Grant MAT2015-71284-P. The authors would like to thank technician M. Sánchez for assistance in the manufacture and dissolution of the green pellets.
Compliance with ethical standards
Conflict of interest
The authors declare that they have no conflict of interest.
- Carman PC (1937) Fluid flow through granular beds. Trans Inst Chem Eng 15:150–166Google Scholar
- Hench LL, Stanley HR, Clark AE, Hall M, Wilson J (1991) Dental application of bioglass implant. In: Bonfield E, Hastings GW, Tanner KE (eds) Bioceramics, vol 4. Butterworth Heinemann, Oxford, pp 232–238Google Scholar
- Hench LL, West JK (1996) Biological applications of bioactive glasses. Life Chem Rep 13:187–241Google Scholar
- Reddy JN (1993) An introductory course to the finite element method, 2nd edn. McGraw-Hill, BostonGoogle Scholar
- Yamamuro T (1990) Reconstruction of the iliac crest with bioactive glass-ceramic prostheses. In: Yamamuro T, Hench LL, Wilson J (eds) Handbook of bioactive ceramics: 1. Bioactive glasses and glass-ceramics. CRC Press, Boca Raton, pp 335–342Google Scholar