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New Trends in Biomathematics
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New Trends in Biomathematics

A special issue of Mathematical and Computational Applications (ISSN 2297-8747). This special issue belongs to the section "Natural Sciences".

Deadline for manuscript submissions: closed (31 December 2024) | Viewed by 3825

Special Issue Editors

Dr. Cristiana João Soares da Silva

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Guest Editor
1. Department of Mathematics, ISTA, Iscte-Instituto Universitário de Lisboa, Av. das Forças Armadas, 1649-026 Lisboa, Portugal
2. Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal
Interests: optimal control; calculus of variations; optimization; mathematical models for infectious diseases; application of optimal control to epidemiology; ordinary differential equations; stability; qualitative investigation and simulation of models
Special Issues, Collections and Topics in MDPI journals
Dr. Vera Afreixo

E-Mail Website
Guest Editor
Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal
Interests: probability and statistics; biostatistics; statistical genomics; bioinformatics and systems biology

Special Issue Information

Dear Colleagues,

This Special Issue aims to publish advancements and emerging trends in the interdisciplinary field of biomathematics, which integrates mathematical techniques and principles to address complex biological phenomena and medical challenges.

We invite researchers to contribute original research articles that explore innovative trends and challenges in biomathematics. Topics of interest include, but are not limited to, the following:

  • Mathematical Modeling in Biology;
  • Computational Biology;
  • Medical Statistics.

Dr. Cristiana J. da Silva
Dr. Vera Afreixo
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. Mathematical and Computational Applications 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 1400 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 in biology
  • computational biology
  • medical statistics

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Further information on MDPI's Special Issue policies can be found here.

Published Papers (3 papers)

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Research

12 pages, 2873 KiB  
Article
Analysis of Primary Healthcare Indicators
by Ana Leonor Saraiva, Cristiana J. Silva, Jorge Cabral, José Pedro Antunes, Paula Rama, Sofia J. Pinheiro and Vera Afreixo
Math. Comput. Appl. 2025, 30(1), 14; https://doi.org/10.3390/mca30010014 - 26 Jan 2025
Viewed by 749
Abstract
This study aims to analyze the relationships between various health indicators, using an exploratory graph analysis, repeated measures correlation, and cluster construction. Primary healthcare is essential for providing continuous and comprehensive care, with indicators as crucial tools to identify and improve weaknesses in [...] Read more.
This study aims to analyze the relationships between various health indicators, using an exploratory graph analysis, repeated measures correlation, and cluster construction. Primary healthcare is essential for providing continuous and comprehensive care, with indicators as crucial tools to identify and improve weaknesses in health units. Data from 41 health units in Baixo Vouga, Portugal, from January 2017 to March 2024, were analyzed. Through the database, the behavior of the indicators and health units over time was identified, along with the strongest positive and negative correlations between the indicators and their graphical illustration. Finally, through clusters, the grouping of indicators and health units was achieved. Thus, this study provides healthcare professionals with important insights for the management and continuous improvement of health units. Full article
(This article belongs to the Special Issue New Trends in Biomathematics)
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23 pages, 3275 KiB  
Article
A PDE-ODE Coupled Model for Biofilm Growth in Porous Media That Accounts for Longitudinal Diffusion and Its Effect on Substrate Degradation
by Emma Bottomley and Hermann J. Eberl
Math. Comput. Appl. 2024, 29(6), 116; https://doi.org/10.3390/mca29060116 - 11 Dec 2024
Viewed by 943
Abstract
We derive a one-dimensional macroscopic model for biofilm formation in a porous medium reactor to investigate the role of longitudinal diffusion of substrate and suspended bacteria on reactor performance. By comparing an existing base model—one without longitudinal diffusion, which was the point of [...] Read more.
We derive a one-dimensional macroscopic model for biofilm formation in a porous medium reactor to investigate the role of longitudinal diffusion of substrate and suspended bacteria on reactor performance. By comparing an existing base model—one without longitudinal diffusion, which was the point of departure for our work, to the new model—we noticed significant changes in system dynamics. Our results suggest that neglecting it can lead to underestimation of quenching length and biofilm accumulation downstream, even in the advection-dominated regime. The effects of attachment and detachment of suspended bacteria on biofilm formation and substrate degradation were also examined. In the one-dimensional model, it was found that attachment has a stronger influence on substrate depletion, which becomes more pronounced as diffusion in the pore space increases. Full article
(This article belongs to the Special Issue New Trends in Biomathematics)
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21 pages, 3240 KiB  
Article
A Mathematical Lens on the Zoonotic Transmission of Lassa Virus Infections Leading to Disabilities in Severe Cases
by Yasir Ramzan, Hanadi Alzubadi, Aziz Ullah Awan, Kamel Guedri, Mohammed Alharthi and Bandar M. Fadhl
Math. Comput. Appl. 2024, 29(6), 102; https://doi.org/10.3390/mca29060102 - 7 Nov 2024
Cited by 1 | Viewed by 1080
Abstract
This study aims to analyze the dynamics of Lassa fever transmission and its impact on the brain and spinal cord then devise and analyze preventive actions. The stability of the infection-free equilibrium point is evaluated; the model’s precision is examined using empirical data; [...] Read more.
This study aims to analyze the dynamics of Lassa fever transmission and its impact on the brain and spinal cord then devise and analyze preventive actions. The stability of the infection-free equilibrium point is evaluated; the model’s precision is examined using empirical data; and all parameters are estimated and fitted. Subsequently, the basic reproductive number is determined, and subpopulation trends are observed over time. Sensitivity analysis is conducted to identify critical drivers influencing transmission dynamics. Two-dimensional plots visualize the impact of crucial parameters on the reproductive number. Through a comprehensive literature review and case analysis, an association between Lassa fever and various disabilities is established, including conditions such as encephalitis, hearing loss, ataxia, neuropsychiatric manifestations, meningitis, seizures, and coma. Solutions are devised and analyzed to enhance early detection, treatment, and mitigation of disease. Full article
(This article belongs to the Special Issue New Trends in Biomathematics)
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