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Mathematical Aspects of Computational Biology and Bioinformatics-II

Submission Deadline: 15 September 2024 (closed) View: 390

Guest Editors

Prof. Dumitru Baleanu, Cankaya University, Turkey; Instiute of Space Sciences, Romania
Dr. Carla M. A. Pinto, Polytechnic of Porto, Portugal
Dr. Sunil Kumar, National Institute of Technology, India

Summary

Recent years have witnessed unprecedented progress in computational biology and biosciences. Our society is eager to see basic research quickly translated into longer and better quality of life through deeper understanding of disease mechanisms and better medical treatment. Accordingly, many topics from computational biology and bioscience have been given high priority in the research. This special issue (SI) highlights mathematical and computational approaches, to examine central problems of the computational biological sciences. The essential target of this special issue is to focus on computational biology - work that uses mathematical approaches to gain biological understanding or explain biological phenomena. Research papers should either provide biological insight as a result of mathematical analysis or identify and open up challenging new types of mathematical problems that derive from biological knowledge. New mathematical ideas, techniques, and results in a biological context are welcome in this proposed special issue. Research areas of mathematical biology covered include, but are not restricted to, cell biology, physiology, development, neurobiology, genetics and population genetics, population biology, ecology, behavioural biology, evolution, epidemiology, immunology, molecular biology, bio fluids, DNA and protein structure and function.

This special issue is mainly focused to address a wide range of the theory and applications of fractional-order derivatives and fractional-order integrals in different directions of mathematical biology. We invite authors to contribute original research articles for the special issue "Mathematical Aspects of Computational Biology and Bioinformatics-II" in the following potential topics that include, but are not limited to:

• Biomodelling

• Genomics

• Neuroscience

• Evolutionary biology

• Cancer computational biology

• Neuropsychiatry

• Image analysis

• Statistical network modelling

• Dynamic pathway modelling

• Protein structure

• Synthetic Biology and Molecular Programming

• Modelling on infectious disease models

• Fractional calculus and its applications on computational biology

• Biophysics, systems biology and computational biology

Published Papers

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Open Access

ARTICLE

A Dynamical Study of Modeling the Transmission of Typhoid Fever through Delayed Strategies
Muhammad Tashfeen, Fazal Dayan, Muhammad Aziz Ur Rehman, Thabet Abdeljawad, Aiman Mukheimer
CMES-Computer Modeling in Engineering & Sciences, Vol.141, No.2, pp. 1419-1446, 2024, DOI:10.32604/cmes.2024.053242
（This article belongs to the Special Issue: Mathematical Aspects of Computational Biology and Bioinformatics-II)
Abstract This study analyzes the transmission of typhoid fever caused by Salmonella typhi using a mathematical model that highlights the significance of delay in its effectiveness. Time delays can affect the nature of patterns and slow down the emergence of patterns in infected population density. The analyzed model is expanded with the equilibrium analysis, reproduction number, and stability analysis. This study aims to establish and explore the non-standard finite difference (NSFD) scheme for the typhoid fever virus transmission model with a time delay. In addition, the forward Euler method and Runge-Kutta method of order 4 (RK-4)… More >

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ARTICLE

Numerical Analysis of Bacterial Meningitis Stochastic Delayed Epidemic Model through Computational Methods
Umar Shafique, Mohamed Mahyoub Al-Shamiri, Ali Raza, Emad Fadhal, Muhammad Rafiq, Nauman Ahmed
CMES-Computer Modeling in Engineering & Sciences, Vol.141, No.1, pp. 311-329, 2024, DOI:10.32604/cmes.2024.052383
（This article belongs to the Special Issue: Mathematical Aspects of Computational Biology and Bioinformatics-II)
Abstract Based on the World Health Organization (WHO), Meningitis is a severe infection of the meninges, the membranes covering the brain and spinal cord. It is a devastating disease and remains a significant public health challenge. This study investigates a bacterial meningitis model through deterministic and stochastic versions. Four-compartment population dynamics explain the concept, particularly the susceptible population, carrier, infected, and recovered. The model predicts the nonnegative equilibrium points and reproduction number, i.e., the Meningitis-Free Equilibrium (MFE), and Meningitis-Existing Equilibrium (MEE). For the stochastic version of the existing deterministic model, the two methodologies studied are transition… More >

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577

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269
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ARTICLE

A Collocation Technique via Pell-Lucas Polynomials to Solve Fractional Differential Equation Model for HIV/AIDS with Treatment Compartment
Gamze Yıldırım, Şuayip Yüzbaşı
CMES-Computer Modeling in Engineering & Sciences, Vol.141, No.1, pp. 281-310, 2024, DOI:10.32604/cmes.2024.052181
（This article belongs to the Special Issue: Mathematical Aspects of Computational Biology and Bioinformatics-II)
Abstract In this study, a numerical method based on the Pell-Lucas polynomials (PLPs) is developed to solve the fractional order HIV/AIDS epidemic model with a treatment compartment. The HIV/AIDS mathematical model with a treatment compartment is divided into five classes, namely, susceptible patients (S), HIV-positive individuals (I), individuals with full-blown AIDS but not receiving ARV treatment (A), individuals being treated (T), and individuals who have changed their sexual habits sufficiently (R). According to the method, by utilizing the PLPs and the collocation points, we convert the fractional order HIV/AIDS epidemic model with a treatment compartment into… More >

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199
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ARTICLE

Numerical Treatments for Crossover Cancer Model of Hybrid Variable-Order Fractional Derivatives
Nasser Sweilam, Seham Al-Mekhlafi, Aya Ahmed, Ahoud Alsheri, Emad Abo-Eldahab
CMES-Computer Modeling in Engineering & Sciences, Vol.140, No.2, pp. 1619-1645, 2024, DOI:10.32604/cmes.2024.047896
（This article belongs to the Special Issue: Mathematical Aspects of Computational Biology and Bioinformatics-II)
Abstract In this paper, two crossover hybrid variable-order derivatives of the cancer model are developed. Grünwald-Letnikov approximation is used to approximate the hybrid fractional and variable-order fractional operators. The existence, uniqueness, and stability of the proposed model are discussed. Adams Bashfourth’s fifth-step method with a hybrid variable-order fractional operator is developed to study the proposed models. Comparative studies with generalized fifth-order Runge-Kutta method are given. Numerical examples and comparative studies to verify the applicability of the used methods and to demonstrate the simplicity of these approximations are presented. We have showcased the efficiency of the proposed More >

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347
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ARTICLE

Aggravation of Cancer, Heart Diseases and Diabetes Subsequent to COVID-19 Lockdown via Mathematical Modeling
Fatma Nese Efil, Sania Qureshi, Nezihal Gokbulut, Kamyar Hosseini, Evren Hincal, Amanullah Soomro
CMES-Computer Modeling in Engineering & Sciences, Vol.140, No.1, pp. 485-512, 2024, DOI:10.32604/cmes.2024.047907
（This article belongs to the Special Issue: Mathematical Aspects of Computational Biology and Bioinformatics-II)
Abstract The global population has been and will continue to be severely impacted by the COVID-19 epidemic. The primary objective of this research is to demonstrate the future impact of COVID-19 on those who suffer from other fatal conditions such as cancer, heart disease, and diabetes. Here, using ordinary differential equations (ODEs), two mathematical models are developed to explain the association between COVID-19 and cancer and between COVID-19 and diabetes and heart disease. After that, we highlight the stability assessments that can be applied to these models. Sensitivity analysis is used to examine how changes in… More >

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356
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ARTICLE

A Hybrid SIR-Fuzzy Model for Epidemic Dynamics: A Numerical Study
Muhammad Shoaib Arif, Kamaleldin Abodayeh, Yasir Nawaz
CMES-Computer Modeling in Engineering & Sciences, Vol.139, No.3, pp. 3417-3434, 2024, DOI:10.32604/cmes.2024.046944
（This article belongs to the Special Issue: Mathematical Aspects of Computational Biology and Bioinformatics-II)
Abstract This study focuses on the urgent requirement for improved accuracy in disease modeling by introducing a new computational framework called the Hybrid SIR-Fuzzy Model. By integrating the traditional Susceptible-Infectious-Recovered (SIR) model with fuzzy logic, our method effectively addresses the complex nature of epidemic dynamics by accurately accounting for uncertainties and imprecisions in both data and model parameters. The main aim of this research is to provide a model for disease transmission using fuzzy theory, which can successfully address uncertainty in mathematical modeling. Our main emphasis is on the imprecise transmission rate parameter, utilizing a three-part… More >

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334
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ARTICLE

A Stochastic Model to Assess the Epidemiological Impact of Vaccine Booster Doses on COVID-19 and Viral Hepatitis B Co-Dynamics with Real Data
Andrew Omame, Mujahid Abbas, Dumitru Baleanu
CMES-Computer Modeling in Engineering & Sciences, Vol.138, No.3, pp. 2973-3012, 2024, DOI:10.32604/cmes.2023.029681
（This article belongs to the Special Issue: Mathematical Aspects of Computational Biology and Bioinformatics-II)
Abstract A patient co-infected with COVID-19 and viral hepatitis B can be at more risk of severe complications than the one infected with a single infection. This study develops a comprehensive stochastic model to assess the epidemiological impact of vaccine booster doses on the co-dynamics of viral hepatitis B and COVID-19. The model is fitted to real COVID-19 data from Pakistan. The proposed model incorporates logistic growth and saturated incidence functions. Rigorous analyses using the tools of stochastic calculus, are performed to study appropriate conditions for the existence of unique global solutions, stationary distribution in the More >

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Mathematical Aspects of Computational Biology and Bioinformatics-II

Guest Editors

Summary

Published Papers

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559

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205

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577

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269

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278

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199

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807

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347

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700

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356

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831

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334

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652

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499

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