Application of mathematical methods in pharmacology
Aigerym MazakovaAigMazak@outlook.comFaculty of Information TechnologyAl-Farabi Kazakh National UniversityAlmaty, 050040, Republic of KazakhstanView full profile → , Sholpan JomartovajomartSholp@outlook.comFaculty of Mechanics and MathematicsAl-Farabi Kazakh National UniversityAlmaty, 050040, Republic of KazakhstanView full profile → , *Talgat MazakovCorresponding authortalgatmazakov6@gmail.comDepartment of Mathematics and MechanicsAl-Farabi Kazakh National UniversityAlmaty, 050040, Republic of KazakhstanView full profile → , Gulzat ZiyatbekovaZiyatgulz@hotmail.comFaculty of Information TechnologyAl-Farabi Kazakh National UniversityAlmaty, 050040, Republic of KazakhstanView full profile → , Aisulu Tursynbaiaisulbai@hotmail.comFaculty of Information TechnologyAl-Farabi Kazakh National UniversityAlmaty, 050040, Republic of KazakhstanView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Nov 2023
- Published Online:
- 30 Sep 2024
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-1897
- Pages:
- 1421–1435
Abstract
Keywords
Subject Classifications
References
[1] I. M. Chamseddine and K. A. Rejniak, “Hybrid modeling frameworks of tumor development and treatment,” WIREs Syst. Biol. Med., vol. 12, no. 1, e1461 (2020).
[2] N. Aliyev and S. Muhammadjonov, “The role of mathematics education in the professional training of medical workers. The importance of mathematics for a health worker,” Bull. of Teach. of New Uzbekistan, vol. 1, no. 2, pp. 39-42 (2023).
[3] P. Dogra, J.D. Butner, S. Nizzero, J.R. Ramirez, A. Noureddine, M.J. Pelaez, D. Elganainy, Z. Yang, A.D. Le, S. Goel, H.S. Leong, E.J. Koay, C.J. Brink., “Image-guided mathematical modeling for pharmacological evaluation of nanomaterials and monoclonal antibodies,” WIREs Nanomed. Nanobiotech., vol. 12, no. 5, e1628 (2020).
[4] F.R. Pinu, D.J. Beale, A.M,Paten, K. Kouremenos, S. Swarup, H.J. Schirra, D. Wishart “Systems biology and multi-omics integration: Viewpoints from the metabolomics research community,” Metabolites, vol. 9, no. 4, p. 76 (2019).
[5] G.V. Zaychenko, N.O. Karpenko, E.A. Striga, O.S. Sinitsyna, “Pharmacological management of menopausal disorders: The phytoestrogenes (review),” Probl. Endokrin. Patol., vol. 2018, no. 4, pp. 65-74 (2018).
[6] K.S. Sakibaev, D.B. Nikityuk, I.N. Atabaev, A.E. Sattarov, M.K. Nuruev. “Somatotypological features of the physique of ethnic Kyrgyz women of different ages,” Asia Life Sci., vol. 22, no. 2, pp. 185-200 (2020).
[7] K.N. Alam, M.S. Khan, A.R. Dhruba, M.M. Khan, J.F. Al-Amri, M. Masud, M. Rawashdeh. “Deep learning-based sentiment analysis of COVID-19 vaccination responses from Twitter data,” Comput. Math. Methods in Med., vol. 1, p. 4321131 (2021).
[8] R. Hamamoto, K. Suvarna, M. Yamada, K. Kobayashi, N. Shinkai, M. Miyake, M. Takahashi, S. Jinnai, R. Shimoyama, A. Sakai, K. Takasawa, A. Bolatkan, K. Shozu, A. Dozen, H. Machino, S. Takahashi, K. Asada, M. Komatsu, J. Sese, S. Kaneko. “Application of artificial intelligence technology in oncology: Towards the establishment of precision medicine,” Cancers, vol. 12, no. 12, p. 3532 (2020).
[9] A.A. Zhakupova, K.B. Biyashev, B.K. Biyashev, S.E. Ermagambetova, G.M. Nurgozhayeva. “Performance test of the drug enterocol,” J. Pharm. Sci. Res., vol. 9, no. 10, pp. 1941-1942 (2017).
[10] Ye. Levitin, O. Kryskiv, O. Lisovets, A. Koval. “Magnetically controlled medicine for the treatment of sinusitis,” Azerbaijan Pharm. Pharmacother. J., vol. 21, no. 2, pp. 20-24 (2021).
[11] J.P. Higgins, J.A. Lopez-Lopez, B.J. Becker, S.R. Davies, S. Dawson, J.M. Grimshaw, L.A. McGuinness, T. H M Moore, E.A. Rehfuess, J. Thomas, D.M. Caldwell. “Synthesising quantitative evidence in systematic reviews of complex health interventions,” BMJ Global Health, vol. 4, e000858 (2019).
[12] S. Shahinfar, P. Meek, and G. Falzon, “How many images do I need? Understanding how sample size per class affects deep learning model performance metrics for balanced designs in autonomous wildlife monitoring,” Ecol. Inform., vol. 57, p. 101085 (2020).
[13] T. Marynenko, T. Halenova, N. Raksha, T. Vovk, Y. Tyravska, O. Savchuk, T. Falalyeyeva, S. Fagoonee, L. Abenavoli, L. Ostapchenko. “Plasma matrix metalloproteinases (MMP-2 and MMP-9) as prognostic biomarkers in coronary heart disease,” Minerva Biotech. Biomolec. Res., vol. 34, no. 3, pp. 137-142 (2022).
[14] T. Malchi, S. Eyal, H. Czosnek, M. Shenker, and B. Chefetz. “Plant pharmacology: Insights into in-planta kinetic and dynamic processes of xenobiotics,” Crit. Rev. Environ. Sci. Tech., vol. 52, no. 19, pp. 3525-3546 (2022).
[15] A. Nilsson, J.R. Haanstra, M. Engqvist, A. Gerding, B.M. Bakker, U. Klingmüller, B. Teusink, J. Nielsen. “Quantitative analysis of amino acid metabolism in liver cancer links glutamate excretion to nucleotide synthesis,” Proceed. Nat. Acad. Sci., vol. 117, no. 19, pp. 10294-10304 (2020).
[16] J. Rabineau, A. Nonclercq, T. Leiner, P. van de Borne, P.F. Migeotte, B. Haut. “Closed-loop multiscale computational model of human blood circulation. Applications to ballistocardiography,” Front. Phys., vol. 12, p. 734311 (2021).
[17] D.A. Saribayeva, K.B. Biyashev, A. Valdovska, A.R. Sansyzbai, B.K. Biyashev. “Study antagonistic activity, the level of resistance to hydrochloric acid and bile probiotic strain Escherichia coli,” J. Pure Appl. Microbiol., vol. 9, no. 1, pp. 573-578 (2015).
[18] T. C. Chou, “Derivation and properties of Michaelis-Menten type and Hill type equations for reference ligands,” J. Theor. Biol., vol. 59, no. 2, pp. 253-276 (1976).
[19] I. Lisnyy, O. Zakalska, D. Dmytriiev, K. Dmytriiev, O. Dobrovanov. “Pre-emptive analgesia with nonsteroidal anti-inflammatory drugs randomized, double-blind placebo-controlled study,” Lekar. Obz., vol. 70, no. 5, pp. 195-202 (2021).
[20] E.L. Bradshaw, M.E. Spilker, R. Zang, L. Bansal, H. He, R.D. Jones, K. Le, M. Penney, E. Schuck, B. Topp, A. Tsai, C. Xu, M. Nijsen, J.R. Chan, “Applications of quantitative systems pharmacology in model-informed drug discovery: Perspective on impact and opportunities,” CPT: Pharmac. Syst. Pharm., vol. 8, no. 11, pp. 777-791 (2019).
[21] V. Vakil and W. Trappe, “Drug combinations: Mathematical modeling and networking methods,” Pharmaceutics, vol. 11, no. 5, p. 208 (2019).
[22] F. I. Mamedov and F. S. Vahabzadch, “Development and validation of the technique for spectrophotometric analysis of sumatriptan in substances and certain medicinal preparations,” Azerbaijan Pharm. Pharmacother. J., vol. 21, no. 1, pp. 12-18 (2021).
[23] K. Azer, C.D. Kaddi, J.S. Barrett, J.P. Bai, S.T. McQuade, N.J. Merrill, B. Piccoli, S. Neves-Zaph, L. Marchetti, R. Lombardo, S. Parolo, S.R.C. Immanuel, N.S. Baliga. “History and future perspectives on the discipline of quantitative systems pharmacology modeling and its applications,” Front. Physiol., vol. 12, p. 637999 (2021).
[24] G. Koch, M. Pfister, I. Daunhawer, M. Wilbaux, S. Wellmann, J.E. Vogt. “Pharmacometrics and machine learning partner to advance clinical data analysis,” Clin. Pharm. Ther., vol. 107, no. 4, pp. 926-933 (2020).
[25] L. Hutchinson, B. Steiert, A. Soubret, J. Wagg, A. Phipps, R. Peck, J.E. Charoin, B. Ribba. “Models and machines: How deep learning will take clinical pharmacology to the next level,” CPT: Pharmac. Syst. Pharm., vol. 8, no. 3, pp. 131-134 (2019).
[26] J. Malinzi, “Mathematical analysis of a mathematical model of chemovirotherapy: Effect of drug infusion method,” Comput. Math. Methods in Med., vol. 1, p. 7576591 (2019).
