Application of Advanced Mathematical Techniques to Healthcare and Medicine

A special issue of Bioengineering (ISSN 2306-5354). This special issue belongs to the section "Biosignal Processing".

Deadline for manuscript submissions: 20 March 2025 | Viewed by 5155

Special Issue Editor

Special Issue Information

Dear Colleagues,

The application of mathematics and engineering to healthcare and medicine is gaining momentum as the mutual benefits of this collaboration become increasingly obvious. The aim of this themed issue is to give a general view of the current research on the application of advanced mathematical methods to medicine, as well as to show how these techniques can help in important aspects such as understanding, prediction, correlation, diagnosis, treatment and data processing. This Special Issue will provide a forum to discuss exciting research on applying various kinds of advanced mathematical techniques such as neural networks, data mining, feature selection, imaging data processing, correlation analysis, etc., to mental health care, physical health care and medicine fields in a broad sense.

Dr. Ehsan Nazemi
Guest Editor

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Keywords

  • neural networks
  • computational intelligence
  • data mining correlation
  • feature selection
  • diagnosing
  • treatment
  • imaging data processing
  • mental health
  • physical healthcare
  • medicine
  • prediction
  • recognition
  • imaging systems
  • numerical methods

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Published Papers (2 papers)

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Research

14 pages, 2506 KiB  
Article
Optimal Feature Selection-Based Dental Caries Prediction Model Using Machine Learning for Decision Support System
by In-Ae Kang, Soualihou Ngnamsie Njimbouom and Jeong-Dong Kim
Bioengineering 2023, 10(2), 245; https://doi.org/10.3390/bioengineering10020245 - 13 Feb 2023
Cited by 8 | Viewed by 2389
Abstract
The high frequency of dental caries is a major public health concern worldwide. The condition is common, particularly in developing countries. Because there are no evident early-stage signs, dental caries frequently goes untreated. Meanwhile, early detection and timely clinical intervention are required to [...] Read more.
The high frequency of dental caries is a major public health concern worldwide. The condition is common, particularly in developing countries. Because there are no evident early-stage signs, dental caries frequently goes untreated. Meanwhile, early detection and timely clinical intervention are required to slow disease development. Machine learning (ML) models can benefit clinicians in the early detection of dental cavities through efficient and cost-effective computer-aided diagnoses. This study proposed a more effective method for diagnosing dental caries by integrating the GINI and mRMR algorithms with the GBDT classifier. Because just a few clinical test features are required for the diagnosis, this strategy could save time and money when screening for dental caries. The proposed method was compared to recently proposed dental procedures. Among these classifiers, the suggested GBDT trained with a reduced feature set achieved the best classification performance, with accuracy, F1-score, precision, and recall values of 95%, 93%, 99%, and 88%, respectively. Furthermore, the experimental results suggest that feature selection improved the performance of the various classifiers. The suggested method yielded a good predictive model for dental caries diagnosis, which might be used in more imbalanced medical datasets to identify disease more effectively. Full article
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18 pages, 484 KiB  
Article
Interaction of Virus in Cancer Patients: A Theoretical Dynamic Model
by Veli B. Shakhmurov, Muhammet Kurulay, Aida Sahmurova, Mustafa Can Gursesli and Antonio Lanata
Bioengineering 2023, 10(2), 224; https://doi.org/10.3390/bioengineering10020224 - 7 Feb 2023
Cited by 2 | Viewed by 1758
Abstract
This study reports on a phase-space analysis of a mathematical model of tumor growth with the interaction between virus and immune response. In this study, a mathematical determination was attempted to demonstrate the relationship between uninfected cells, infected cells, effector immune cells, and [...] Read more.
This study reports on a phase-space analysis of a mathematical model of tumor growth with the interaction between virus and immune response. In this study, a mathematical determination was attempted to demonstrate the relationship between uninfected cells, infected cells, effector immune cells, and free viruses using a dynamic model. We revealed the stability analysis of the system and the Lyapunov stability of the equilibrium points. Moreover, all endemic equilibrium point models are derived. We investigated the stability behavior and the range of attraction sets of the nonlinear systems concerning our model. Furthermore, a global stability analysis is proved either in the construction of a Lyapunov function showing the validity of the concerned disease-free equilibria or in endemic equilibria discussed by the model. Finally, a simulated solution is achieved and the relationship between cancer cells and other cells is drawn. Full article
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