Mathematical Methods and Machine Learning in Biology

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Mathematical Biology".

Deadline for manuscript submissions: 30 June 2024 | Viewed by 1376

Special Issue Editors


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Guest Editor
Department of Mathematics, University of Kentucky, Lexington, KY 40506, USA
Interests: numerical analysis; mathematical biology; machine leaning; data analysis

E-Mail Website
Guest Editor
Department of Mathematics, University of Kentucky, Lexington, KY 40506, USA
Interests: machine learning; data analysis; mathematical biology; quantitative systems pharmacology; numerical analysis

Special Issue Information

Dear Colleagues,

In recent years, the combination of computing power and an increase in biological data sets has led to a breakthrough in the applications of machine learning (ML) techniques in mathematical modeling applied to biology and medicine. Mathematical models based on analytical concepts such as differential geometry, differential equations, persistent homology, and graph theory have been widely used to describe various biological processes and can be combined with advanced ML algorithms to help interpret biomedical data produced by high-throughput genomics and proteomics projects. Over a noticeably brief period, mathematics-based ML methods have made a remarkable impact on multiple fields of biology, including medical image analysis, predictions of disease outbreaks, protein structure predictions, protein–ligand binding affinity predictions, and drug design. This Special Issue provides a unique opportunity for researchers from academia and industry to present their new and unpublished work and to promote future studies in an emerging field such as applying mathematics-based ML models to highly diverse biological data.

Dr. Md Masud Rana
Dr. Duc Duy Nguyen
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • mathematical modeling
  • machine learning
  • molecular biology
  • bioinformatics
  • drug design

Published Papers (1 paper)

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Research

26 pages, 477 KiB  
Article
Exploring the Molecular Interaction of PCOS and Endometrial Carcinoma through Novel Hyperparameter-Optimized Ensemble Clustering Approaches
by Pınar Karadayı Ataş
Mathematics 2024, 12(2), 295; https://doi.org/10.3390/math12020295 - 16 Jan 2024
Cited by 1 | Viewed by 964
Abstract
Polycystic ovary syndrome (PCOS) and endometrial carcinoma (EC) are gynecological conditions that have attracted significant attention due to the higher prevalence of EC in patients with PCOS. Even with this proven association, little is known about the complex molecular pathways that connect PCOS [...] Read more.
Polycystic ovary syndrome (PCOS) and endometrial carcinoma (EC) are gynecological conditions that have attracted significant attention due to the higher prevalence of EC in patients with PCOS. Even with this proven association, little is known about the complex molecular pathways that connect PCOS to an increased risk of EC. In order to address this, our study presents two main innovations. To provide a solid basis for our analysis, we have first created a dataset of genes linked to EC and PCOS. Second, we start by building fixed-size ensembles, and then we refine the configuration of a single clustering algorithm within the ensemble at each step of the hyperparameter optimization process. This optimization evaluates the potential performance of the ensemble as a whole, taking into consideration the interactions between each algorithm. All the models in the ensemble are individually optimized with the suitable hyperparameter optimization method, which allows us to tailor the strategy to the model’s needs. Our approach aims to improve the ensemble’s performance, significantly enhancing the accuracy and robustness of clustering outcomes. Through this approach, we aim to enhance our understanding of PCOS and EC, potentially leading to diagnostic and treatment breakthroughs. Full article
(This article belongs to the Special Issue Mathematical Methods and Machine Learning in Biology)
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