RUS  ENG
Full version
JOURNALS // Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva

Zhurnal SVMO, 2022, Volume 24, Number 2, Pages 200–214 (Mi svmo830)

Mathematical study of medicine diffusion from swelling chitosan film
A. O. Syromyasov, A. S. Shurshina, D. V. Galkin

References

1. G. I. Nazarenko, I. Yu. Sugurova, S. P. Glyantsev, Wound, bandage, patient: a guide for doctors and nurses, Meditsina Publ., Moscow, 2002, 472 pp. (In Russ.)
2. Y. M. Qin, “Advanced wound dressings”, Journal of the Textile Institute, 92:1 (2001), 127–138  crossref
3. E. P. Feofilova, D. V. Nemtsev, V. M. Tereshina, V. P. Kozlov, “Polyaminosaccharides of mycelial fungi: new biotechnological use and practical implications”, Applied Biochemistry and Microbiology, 32:5 (1996), 437–445 (In Russ.)
4. L. V. Gorovoi, V. N. Kosyakov, “Sorption properties of chitin and its derivatives”, Chitin and chitosan: production, properties and application, Nauka, Moscow, 2002, 217–246 (In Russ.)
5. T. P. Alekseeva A. A. Rakhmetova, O. A. Bogoslovskaya, I. P. Olkhovskaya, A. N. Levov, A. V. Ilina, V. P. Varlamov, T. A. Baytukalov, N. N. Glushchenko, “Wound healing potential of chitosan and N-sulfosuccinoyl chitosan derivatives”, Biology Bulletin, 37:4 (2010), 339–345  crossref  elib  scopus
6. E. I. Kulish, A. S. Shurshina, S. V. Kolesov, “Specific transport properties of medicinal chitosan films”, Polymer Science. Series A, 56:3 (2014), 289–295  crossref  elib  scopus
7. U. Conte, P. Colombo, A. Gazzaniga, A. La Manna, “Swelling-activated drug delivery systems”, Biomaterials, 9 (1988), 489–493  crossref  scopus
8. P. Costa, L. M. Sousa Lobo, “Modeling and comparison of dissolution profiles”, European Journal of Pharmaceutical Sciences, 13 (2003), 123–133  crossref  scopus
9. I. Katzhendler, A. Hoffman, A. Goldberger, M. Grieman, “Modeling of drug release from erodible tablets”, Journal of Pharmaceutical Sciences, 86:1 (1997), 110–115  crossref  scopus
10. P. L. Ritger, N. A. Peppas, “A simple equation for description of solute release. I. Fickian and Non-Fickian release from non-swellable devices in the form of slabs, spheres, cylinders or discs”, Journal of Controlled Release, 5 (1987), 23–26  crossref  scopus
11. P. L. Ritger, N. A. Peppas, “A simple equation for description of solute release. II. Fickian and anomalous release from swellable devices”, Journal of Controlled Release, 5 (1987), 37–42  crossref  scopus
12. S. Siepmann, N. A. Peppas, “Modeling of drug release from delivery systems based on hydroxypropylmethylcellulose (HPMC)”, Advanced Drug Delivery Reviews, 48 (2001), 139–157  crossref  scopus
13. A. O. Syromyasov, A. S. Shurshina, D. V. Galkin, “Model of diffusion of medicine that is bonded inside an organic film”, Mathematical modeling, numerical methods and software complexes named after E. V. Voskresensky, Proceedings of the VIII International Scientific Youth School-Seminar (Saransk, 2018), 150-155 (In Russ.)
14. A. O. Syromyasov, A. S. Shurshina, D. V. Galkin, “Diffusion of partly bonded medium from chitosan film with constant characteristics”, Vestnik Bashkirskogo universiteta, 23:4 (2018), 1100–1104 (In Russ.)
15. D. Hömberg, S. Lu, M. Yamamoto, “Uniqueness for an inverse problem for a nonlinear parabolic system with an integral term by one-point Dirichlet data”, Journal of Differential Equations, 266:11 (2019), 7525–7544  crossref  mathscinet  zmath  adsnasa  scopus
16. Y. Y. Chen, J. I. Frankel, M. Keyhani, “A new front surface heat flux calibration for a 1-D nonlinear thermal system with a time-varying back boundary condition”, Journal of Engineering Mathematics, 105 (2017), 157–187  crossref  mathscinet  zmath  adsnasa  scopus
17. A. F. Albu, V. I. Zubov, “Identification of thermal conductivity coefficient using a given temperature field”, Computational Mathematics and Mathematical Physics, 58:10 (2018), 1585–1599  mathnet  crossref  zmath
18. I. V. Boikov, V. A. Ryazantsev, “On the approximate method for determination of heat conduction coefficient”, Zhurnal SVMO, 21:2 (2019), 149–161 (In Russ.)  mathnet  crossref
19. S. I. Kabanikhin, M. A. Shishlenin, “Vosstanovlenie koeffitsientov, zavisyaschikh ot vremeni, v dinamicheskikh obratnykh zadachakh po nelokalnym dannym”, Marchukovskie nauchnye chteniya–2017, tr. Mezhdunar. nauch. konf., Novosibirsk, 2017, 364–369 (in Russ.)  zmath
20. T. V. Smotrina, “State of water and relaxation processes in chitosan films”, Butlerovskiye Soobshcheniya, 29:2 (2012), 98–101 (In Russ.)


© Steklov Math. Inst. of RAS, 2025