Abstract
The simulation of drug release from a heterogeneous system is described in the article. Three phenomena were considered in the simulation: solvent flow through the pores of the media, drug dissolution and diffusion to the external environment. Cellular Automata (CA) were used to model the drug carrier and all processes. New diffusion algorithms were proposed. The simulation and laboratory results were compared and it was shown that they have a high level of similarity.
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References
Hildgen, P., Bertrand, N., Leclair, G.: Modeling drug release from bioerodible microspheres using a cellular automaton. International Journal of Pharmaceutics 343, 196–207 (2007)
Zygourakis, K.: Discrete simulations and bioerodible controlled release systems. Polym. Prep. ACS 30, 456–457 (1989)
Markenscoff, P.A., Zygourakis, K.: Computer-aided design of bioerodible devices with optimal release characteristics: a automata approach. Biomaterials 17, 125–135 (1996)
Göpferich, A., Siepmann, J.: Mathematical modeling of bioerodible, polymeric drug delivery systems. Advanced Drug Delivery Reviews 48, 229–247 (2001)
Heather, J., Barat, A., Ruskin, M.C.: Probabilistic methods for drug dissolution. part 2. modeling a soluble binary drug delivery system dissolving in vitro. Simulation Modeling Practice and Theory 14, 857–873 (2006)
Benoit, J., Faisant, N., Siepmann, J.: A new mathematical model quantifying drug release from bioerodible microparticles using monte carlo simulations. Pharmaceutical Research 19, 1885–1893 (2002)
Topa, P.: Network Systems Modelled by Complex Cellular Automata Paradigm. InTech (2011)
Mazo, R.M.: Brownian motion: fluctuations, dynamics and applications. Oxford University Press (2002)
Ruixia, Y., Chen, H., Zhou, X.: Modeling the drug release from 3d multi-layer microstructure with micro-chambers. In: 7th IEEE Conference on Nanotechnology, IEEE-NANO 2007, pp. 558–561 (2007)
Jun-min, C., Rui-xia, Y.: Study on structural optimalization of biodegradable polymer controlled drug release microstructure based on ca. In: IEEE International Conference on Intelligent Computing and Intelligent Systems, ICIS 2009, pp. 321–324 (2009)
Iribarne, J.V.: Atmospheric physics. Panstwowe Wydawawnictwo Naukowe (1988)
Rothman, B., Zaleski, S.: Lattice-gas cellular automata. Simple models of complex hydrodynamics. Cambridge Univ. Press (1997)
Hasslacher, B., Frisch, U., Pomeau, Y.: Lattice-gas automata for the navier-stokes equation. Physical Review Letters 56, 1505–1508 (1986)
Crank, J.: The mathematics of diffusion. Oxford University Press (1979)
Bandman, O.B.: Parallel Computing Technologies. Russian Academy of Science, vol. 1662 (1999)
Grassi, M., Colombo, I., Grassi, G., Lapasin, R.: Understanding Drug Release and Absorption Mechanisms: a physical and mathematical approach. CRC Press (2006)
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Mietła, A., Wanat, I., Wąs, J. (2012). The Application of Cellular Automata to Simulate Drug Release from Heterogeneous Systems. In: Wyrzykowski, R., Dongarra, J., Karczewski, K., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2011. Lecture Notes in Computer Science, vol 7204. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31500-8_58
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DOI: https://doi.org/10.1007/978-3-642-31500-8_58
Publisher Name: Springer, Berlin, Heidelberg
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