TY  - JOUR
T1  - A Numerical Approach for Solving Modified Epidemiological Model for Drug Release Systems
TT  - İlaç Salım Sistemleri için Modifiye Epidemiyolojik Modelin Sayısal Çözümü
AU  - Gülsu, Mustafa
AU  - Öztürk, Yalçın
AU  - Gülsu, Aydan
PY  - 2014
DA  - January
DO  - 10.17100/nevbiltek.210873
JF  - Nevşehir Bilim ve Teknoloji Dergisi
PB  - Nevşehir Hacı Bektaş Veli Üniversitesi
WT  - DergiPark
SN  - 2148-466X
SP  - 56
EP  - 64
VL  - 2
IS  - 2
LA  - en
AB  - The mathematical modeling of drug release systemshas a significant potential to facilitate product development and to helpunderstanding complex pharmaceutical dosage forms. The findings of the modeling studies can help control someof the parameters to obtain thedesired release performance.In this article, we have introduced a Chebyshev collocation method, which isbased on collocation method for solving initial-boundary value problemdescribing the Higuchi and power law.
KW  - Drug release systems
KW  - higuchi law
KW  - power law
KW  - collocation method.
N2  - İlaç salım sistemlerinin matematiksel modellemesiürün geliştirme ve karmaşık farmasötikdozaj formları anlama kolaylığısağlamada önemli bir potansiyele sahiptir. Modellemeçalışmaları bulguları, bazı parametrelerin kontrolü, istenilen salımperformanslarının elde edilmesine yardımcı olmaktadır. Bu makalede Chebyshevsıralama metodu ile taşıyıcı sistemlerden ilaç salım modeli Higuchi ve güçmodeli için nümerik sonuçlar verilmiştir.
CR  - Higuchi T., “Rate of release of medicaments from ointment bases containing drugs in suspension” J. Pharm. Sci., 50, 874–875, 1961
CR  - Pillai O., Dhanikula A. B., Panchagnula R.,”Drug delivery: an odyssey of 100 years” Current Opinion in Chemical Biology 5, 439–446, 2001
CR  - Cartensen T., J., “Modeling and data treatment in the pharmaceutical sciences” Technomic Publishing Co. Inc., Lancaster, Basel, 1996
CR  - Israel G., “In Modelli Matematici nelle Scienze Biologiche” P. ed. Edizioni Quattro Venti, Urbino, 1998
CR  - Peppas N. A., “Analysis of Fickian and non-Fickian drug release from polymers”, Pharm. Acta Helv., 60, 110–111, 1985
CR  - Ritger P. L., Peppas N. A., “A simple equation for description of solute release I. Fickian and non-Fickian release from nonswellable devices in the form of slabs spheres, cylinders or discs” J. Control. Release 5, 23–36, 1987.
CR  - Ritger P. L., Peppas N. A., “A simple equation for description of solute release II. Fickian and anomalous release from swellable devices” J. Control. Release, 5, 37–42, 1987
CR  - Siepmann J., Peppas N. A., “Modeling of drug release from delivery systems based on hydroxypropyl methylcellulose” Adv. Drug Deliv. Rev., 48, 139–157, 2001.
CR  - Gao P., Nixon P. R., Skoug J. W., “Diffusion in HPMC gels. II. Prediction of drug release rates from hydrophilic matrix extended- release dosage forms” Pharm. Res. 12, 965–971, 1995
CR  - Peppas N. A., Gurny R., Doelker E., Buri P., “Modelling of drug diffusion through swellable polymeric systems” J. Membr. Sci., 7, 241–253, 1980.
CR  - Weibull W., “A statistical distribution of wide applicability” J. Appl. Mechan. 18, 293 –297, 19 Sahte P. M., Song Y. T., Shah V. P., “In-vitro dissolution profile comparison: statistics and analysis, model dependent approach” Pharm. Res. 13, 1799–1803, 1996
CR  - Kosmidis K., Argyrakis P., Macheras P., “A Reappraisal of drug release laws using Monte Corlo simulations: the prevalence of the Weibull function” Pharm Res. 20(7), 988-95, 2003
CR  - Gülsu M., Öztürk Y., Sezer M., “A new collocation method for solution of mixed linear integrodifferential-difference equations” Appl. Math. Comp., 216, 2183-2198, 2010
CR  - Gülsu M., Öztürk Y., Sezer M., “Numerical approach for solving Volterra integro differential equations with piecewise intervals” J. Avdan. Research Appl. Math. 4(1), 23-37, 2012
CR  - Gülsu M., Öztürk Y., Sezer M., “Approximate solution of the singular-perturbation problem on Chebyshev-Gauss grid” J. Avdan. Research Diff. Equa. 3(1), 1-13, 2012
CR  - Öztürk Y., Gülsu M., “Approximate solution of linear generalized pantograph equations with variable coefficients on Chebyshev-Gauss grid” J. Avdan. Research Scie. Comp. 4(1), 36-51, 2012
CR  - Gülsu M., Öztürk Y., Sezer M., “On the solution of the Abel equation of the second kind by the shifted Chebyshev polynomials” Appl. Math. Comp. 217, 4827-4833, 2011
CR  - Body J., P., “Chebyshev and fourier spectral methods” University of Michigan, New York, 2000 Mason J., M., Handscomb D., S., “Chebyshev polynomials” Chapman and Hall/CRC, New York, 2003
UR  - https://doi.org/10.17100/nevbiltek.210873
L1  - https://dergipark.org.tr/tr/download/article-file/184762
ER  -