A MATHEMATICAL MODEL FOR AN AUTOMATED SYSTEM OF MEDICAL DIAGNOSTICS

Authors

DOI:

https://doi.org/10.37943/15VKHJ9410

Keywords:

IT in medicine, diagnostic model, mathematical decision-making method, modeling

Abstract

One of the primary focuses of the Republic of Kazakhstan concerning sustainable and stable improvements in the well-being of its population is the advancement of the healthcare sector. A mathematical model for an automated medical diagnostics system integrates machine learning algorithms, statistical models, and decision trees to analyze patient data and facilitate accurate diagnoses. This model enables healthcare professionals to enhance the efficiency and reliability of medical diagnostics by leveraging advanced computational techniques. These distinguishing features can be incorporated by developing a mathematical model for diagnosing diseases, enabling precise identification, and guiding appropriate treatment strategies.

Machine learning algorithms play a crucial role in automated systems for medical diagnostics. An ensemble of multiple algorithms, such as combining decision trees with gradient boosting or using a combination of neural networks and traditional machine learning, can yield improved diagnostic accuracy and robustness. Predicting the progression of diseases is a crucial aspect of healthcare, enabling personalized interventions and improved patient outcomes. A mathematical approach can facilitate this prediction by monitoring changes in diagnostic results aligned with the severity of symptoms, which inherently vary over the observation period. By employing mathematical modeling techniques, healthcare professionals gain valuable insights into disease progression, supporting informed decision-making and tailored treatments.

In conclusion, developing a mathematical model for an automated medical diagnostics system, incorporating machine learning algorithms, statistical models, and decision trees, significantly contributes to healthcare. These models enhance the accuracy, efficiency, and personalization of medical diagnoses. Additionally, mathematical models aid in the differential diagnosis of challenging conditions and provide predictions regarding disease progression, ultimately benefiting patient care and treatment outcomes.

References

Rokach, L. (2010). Pattern classification using ensemble methods. World Scientific PublishingISBN: 978-981-12-0195-0. https://www.doi.org/10.1142/11325

Boose, J.H., & Gaines, B.R. (1988). Knowledge acquisition tools for expert systems. London: Academic Press

Balogh E.P., & Miller, B.T. (2015). The National Academies of Sciences. Improving Diagnosis in HealthCare. Washington: National Academies Press

Singh, S.P., & Singh, S. (2014). Application of fuzzy logic in medical Diagnosis: a review. International Journal of Computer Science and Mobile Computing, 3(3), 181-187. https://www.doi.org/10.11648/j.net.20190702.15

Topol, E. (2019). How Artificial Intelligence Can Make Healthcare Human Again. PublisherBasic Books, ISBN-139781541644649.

Beleites, C., Salzer, R., & Sergo, V. (2018). Validation of soft classification models using partial class memberships: An extended concept of sensitivity & co. for the derivation of optimized cut-offs. Journal of Chemometrics, 32(5).

Choi, E., Bahadori, M. T., Schuetz, A., Stewart, W. F., & Sun, J. (2020). Predicting disease progression using multi-modal deep learning. Nature Communications, 11(1), 1-9. https://www.doi.org/10.1038/s41467-020-17057-0

Liu, Y., Wu, R., & Yang, A. (2023). Research on Medical Problems Based on Mathematical Models. Mathematics 2023, 11, 2842. https://doi.org/10.3390/math11132842

Danchenko, O., Bedrii, D., Haidaienko, O., Bielova,O., Kravchenko, O., & Kuzminska, Y. (2021). Mathematical support of theinformation system for decisionsupport in the sphere ofhealthcare. Scientific Journal of Astana ITUniversity, (6), 23-37 https://doi.org/10.37943/AITU.2021.89.31.003

Schwenzer, M., Ay, M., Bergs, T., & Abel, D. (2021). Review on model predictive control: anengineering perspective. The International Journal of Advanced Manufacturing Technology117, 1327-1349. https://doi.org/10.1007/s00170-021-07682-3

Stanovsky, O.L., Kolesnikova, K.V., Lebedeva, O.Yu., & Heblov, I. (2015). Dynamic models in the method of project management. Eastern-European Journal of Enterprise Technologies, 6(3(78), 46–52. https://doi.org/10.15587/1729-4061.2015.55665

Ma, Y., Mazumdar, M., & Dasgupta, A. (2019). How to build and interpret a machine learning model for classification in diagnostic medicine? Journal of clinical and translational research, 4(2), 78-88.

Bellman, R.E., & Zadeh, L.A. (1970). Decision-making in a fuzzy environment. Management Science, 17(4), B-141-B-164.

Kasper, D.L., Fauci, A.S., Hauser, S.L., Longo, D.L., Jameson, J.L., & Loscalzo, J. (2018). Harrison’s Principles of Internal Medicine, 20th Edition. McGraw Hill Professional.

Huang, M. L., & Hung, S. Y. (2012). Applying machine learning to medical Diagnosis. Intelligent Information Management, 4(5), 210-219. https://www.doi.org/10.14293/S2199-1006.1.SOR-.PPHMKA6.v1

Kampen, A. H. C., Moerland, P. D., Schmitz, U., & Wolkenhauer, O. (2016). Taking Bioinformatics to Systems Medicine. In Systems Medicine (pp. 17-41). Methods in Molecular Biology (Vol. 1386). https://www.doi.org/10.1007/978-1-4939-3283-2_2

Funfgeld, L., Zwingenberger, V., & Harke, G. (2019). Differential diagnostics in infants from a manual medicine perspective. SPRINGER HEIDELBERG, 57(4), 247-253. https://www.doi.org/10.1007/s00337-019-0555-1

Taboada, M., Des, J., Mira, J., & Marin, R. (2001). Diagnosis systems in medicine with reusable knowledge components. IEEE Intelligent systems, 16(6), 68-73. https://www.doi.org/10.1109/5254.972093

Euler, L. (1836). Thesolutionofproblemsrelatedtothegeometryofthesite. Sci. Imp. Petrop., – №8. 128-140p

Choi, E., Bahadori, M.T., & Kulas, J.A. (2017). A survey of methods for explaining black box models. ACM Computing Surveys (CSUR), 50(6), 1-42, https://www.doi.org/10.1145/3236009

Wang, X., Chused, A., Elhadad, N., Friedman, C., & Markatou, M.A. (2008). Automated knowledge acquisition from clinical reports. AMIA Annu Symp Proc. 2008. p. 783-7. PMCID: PMC2656103

Paik, S.H., & Kim, D.J. (2019). Smart Healthcare Systems and Precision Medicine. In Advances in Experimental Medicine and Biology (Vol. 1192, pp. 263-279). Ed. Kim, Y.K. https://www.doi.org/10.1007/978-981-32-9721-0_13

Disease-Symptom Knowledge Database. (2010). Source from: https://people.dbmi.columbia.edu/~friedma/Projects/DiseaseSymptomKB/index.html

The pre-trained data for using the Glove model. (2018). Source from: https://figshare.com/s/00d69861786cd0156d81

Thang, C., Cooper, E.W., Hoshino, Y., Kamei, K., Torra, V., Narukawa, Y., & Miyamoto, S. (2005). A decision support system for rheumatic evaluation and treatment in oriental medicine using fuzzy logic and neural network. In Proceedings of the 2nd International Conference Modeling Decisions for Artificial Intelligence (pp. 399-409).

Ton J. Cleophas, Aeilko H. Zwinderman. (2016). Machine Learning in Medicine - a Complete Overview. 978-3-319-38638 6Published. https://doi.org/10.1007/978-3-319-15195-3

Kenji Suzuki, Yisong Chen. (2018). Artificial Intelligence in Decision Support Systems for Diagnosis in Medical Imaging, Springer International Publishing

M.G. Kahn, W. (2019). An expert system for culture-based infection control surveillance. PubMed Central (PMC). Available at: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2248498/.

Nurmaganbetova М.О., Nurmaganbetov D.Е., MyrzakerimovaА.B. (2017) mathematical model of diagnosisusing the rules of fuzzy inference p.493, International journal of applied and fundamental research, https://s.applied-research.ru/pdf/2017/2017_4_3.pdf

Keles, A., & Keles, A. (2008). ESTDD: Expert system for thyroid diseases diagnosis. Expert Systems with Applications, 34(1), 242-246. https://www.doi.org/10.1016/j.eswa.2006.09.028

Multiclassifier of acute cystitis and/or nephritis. (2021). Source from: https://www.kaggle.com/code/sasakitetsuya/multiclassifier-of-acute-cystitis-and-or-nephritis

Ichino, M. (2008). Dataset Information: Transcription profiling of rat model of pyelonephritis. Source from: https://www.omicsdi.org/dataset/arrayexpress-repository/E-GEOD-7087

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Published

2023-09-30

How to Cite

Myrzakerimova, A., Kolesnikova, K. ., & Nurmaganbetova, M. (2023). A MATHEMATICAL MODEL FOR AN AUTOMATED SYSTEM OF MEDICAL DIAGNOSTICS. Scientific Journal of Astana IT University, 15(15), 71–84. https://doi.org/10.37943/15VKHJ9410

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