ON PROPERTIES OF SOLUTIONS TO EQUATIONS ARISING WHILE MODELING CRYOCHEMICAL SYNTHESIS OF FORMACEUTICAL NANOFORMS

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Resumo

For a nonlinear second order ordinary differential equation, arising while mathematical modeling cryochemical synthesis of medicinal nanoforms, the behavior of its positive monotonic solutions is studied as well as the existence, uniqueness and properties of solutions of various boundary value problems with fixed and free boundaries.

Sobre autores

I. Astashova

Lomonosov Moscow State University; Plekhanov Russian University of Economics

Email: irina.astashova@math.msu.ru
Москва

Yu. Morozov

Lomonosov Moscow State University; Bauman Moscow State Technical University

Email: yunmor@mail.ru
Москва

A. Filinovsky

Lomonosov Moscow State University; Bauman Moscow State Technical University

Email: alexey.filinovskiy@math.msu.ru
Москва

G. Chechkin

Lomonosov Moscow State University

Email: chechkin@mech.math.msu.su
Москва

T. Shabatina

Lomonosov Moscow State University; Bauman Moscow State Technical University

Email: tsh@kinet.chem.msu.ru
Москва

Bibliografia

  1. Melnikov, M.Ya., Trahtenberg, L.I., Shabatin V.P. [et al.], Sintez i funkcional’nye svojstva gibridnyh nanoform bioaktivnyh i lekarstvennyh veshchestv (Synthesis and Functional Properties of Hybrid Pharmacologigal and Bioactive Nanoparticles), Moscow: Tehnosphera, 2019.
  2. Cryochemically obtained nanoforms of antimicrobial drug substance dioxidine and their physicochemical and structural properties / T.I. Shabatina, O.I. Vernaya, V.P. Shabatin [et al.] // Crystals. — 2018. — V. 8, № 7. — P. 1-15.
  3. Cryochemical modification, activity, and toxicity of dioxidine nanoforms / O.I. Vernaya, V.P. Shabatin, T.I. Shabatina [et al.] // Russ. J. Phys. Chem. A. — 2017. — V. 91, № 2. — P. 229-232.
  4. New forms of old drugs: improving without changing / S. Domingos, V. Andre, S. Quaresma [et al.] // J. Pharm. Pharmacol. — 2015. — V. 67, № 6. — P. 830-846.
  5. Sergeev, G.B. Nanochemistry / G.B. Sergeev, K.J. Klabunde. — 2nd edn. — Amsterdam : Elsevier, 2013. — 372 p.
  6. Verma, S. Quality by design approach to understand the process of nanosuspension preparation / S. Verma, R. Gokhale, D.J. Burgess // Int. J. Pharm. — 2009. — V. 377, № 1-2. — P. 185-198.
  7. Cryosynthesis of nanosized drug substances / Y.N. Morozov, A.Y. Utekhina, V.P. Shabatin [et al.] // Russ. J. Gen. Chem. — 2014. — V. 84, № 5. — P. 1010-1017.
  8. Pharmaceutical nanoparticles formation and their physico-chemical and biomedical properties / T.I. Shabatina, Ya.A. Gromova, O.I. Vernaya [et al.] // Pharmaceuticals. — 2024. — V. 17, № 587. — P. 1-20.
  9. Mathematical modeling of cryochemical formation of medicinal substances in nanoforms. The role of temperature and dimensional parameters / I.V. Astashova, G.A. Chechkin, A.V. Filinovskiy [et al.] // WSEAS Transactions on Biology and Biomedicine. — 2023. — V. 20. — P. 213-221.
  10. Makhatar, N.A.M. Flow reversal of fully developed combined convection in a vertical channel with boundary condition of a third kind / N.A.M. Makhatar, M.M.A. Lee, N.L.M. Fauzi // J. Adv. Res. Fluid Mech. Therm. Sci. — 2022. — V. 91, № 1. — P. 56-68.
  11. Astashova, I.V., Morozov, Yu.N., Filinovskij, A.V. [et al.], O matematicheskom modelirovanii kriohimicheskogo sinteza lekarstvennyh nanoform, Differ. Uravn., 2024, vol. 60, no. 6, pp. 859–861.
  12. Astashova, I.V. On periodic solutions to a nonlinear dynamical system from one-dimensional cold plasma model / I.V. Astashova, K.N. Belikova // Funct. Differ. Equat. — 2022. — № 3-4. — P. 7-15.
  13. Astashova, I. On the controllability problem with pointwise observation for the parabolic equation with free convection term / I. Astashova, A. Filinovskiy // WSEAS Transactions on Systems and Control. — 2019. — V. 14. — P. 224-231.
  14. Astashova, I. On maintaining optimal temperatures in greenhouses / I. Astashova, D. Lashin, A. Filinovskiy // WSEAS Transactions on Circuits and Systems. — 2016. — V. 15, № 23. — P. 198-204.
  15. Astashova, I. Mathematical models of epidemics in closed populations and their visualization via web application PHAPL / I. Astashova, V. Chebotaeva, A. Cherepanov // WSEAS Transactions on Biology and Biomedicine. — 2018. — V. 15, № 12. — P. 112-118.
  16. Chechkin, G.A. On the Eringen model for nematic liquid crystals / G.A. Chechkin, T.S. Ratiu, M.S. Romanov // Comptes Rendus, Mecanique. — 2021. — V. 349, № 1. — P. 21-27.

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