Journal
MATHEMATICS
Volume 11, Issue 13, Pages -Publisher
MDPI
DOI: 10.3390/math11132842
Keywords
mathematical models; machine learning; differential equations; medical research
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Mathematical modeling is crucial in the medical field as it enhances the understanding and exploration of physiological and pathological processes in the human body. It facilitates accurate medical predictions and diagnoses through neural network, machine learning, and statistical models. The applications of mathematical modeling range from simulating the cardiovascular system to analyzing medical images, screening and optimizing active compounds in drug development, and mining and analyzing medical data for disease risk assessment and prediction. Overall, mathematical modeling has become an integral part of modern medical research.
Mathematical modeling can help the medical community to more fully understand and explore the physiological and pathological processes within the human body and can provide more accurate and reliable medical predictions and diagnoses. Neural network models, machine learning models, and statistical models, among others, have become important tools. The paper details the applications of mathematical modeling in the medical field: by building differential equations to simulate the patient's cardiovascular system, physicians can gain a deeper understanding of the pathogenesis and treatment of heart disease. With machine learning algorithms, medical images can be better quantified and analyzed, thus improving the precision and accuracy of diagnosis and treatment. In the drug development process, network models can help researchers more quickly screen for potentially active compounds and optimize them for eventual drug launch and application. By mining and analyzing a large number of medical data, more accurate and comprehensive disease risk assessment and prediction results can be obtained, providing the medical community with a more scientific and accurate basis for decision-making. In conclusion, research on medical problems based on mathematical models has become an important part of modern medical research, and great progress has been made in different fields.
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