Special Issue "Mathematical Aspects of Computational Biology and Bioinformatics"

Submission Deadline: 15 October 2021 (closed)
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


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 on Computational Biology and Bioinformatics" 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
  • Sensitivity Analysis of COVID-19 in Mediterranean Island
  • Abstract The aim of this study is to examine the progress of the worldwide pandemic Covid-19. As authors, we have decided to analyze the situation of COVID-19 on Mediterranean island with accurate data. For this purpose, a mathematical model is constructed and proposed by dividing the whole population into sensible and suitable compartments. The study captures the dates February 01 till May 15, 2021. For the control of the spread of disease, vaccination and infection rates are compared and calculated. During calculations and comparison, MatLab software is used. All of the data that are used are taken from the Ministry of… More
  •   Views:95       Downloads:77        Download PDF

  • Near Future Perspective of ESBL-Producing Klebsiella pneumoniae Strains Using Mathematical Modeling
  • Abstract While antibiotic resistance is becoming increasingly serious today, there is almost no doubt that more challenging times await us in the future. Resistant microorganisms have increased in the past decades leading to limited treatment options, along with higher morbidity and mortality. Klebsiella pneumoniae is one of the significant microorganisms causing major public health problems by acquiring resistance to antibiotics and acting as an opportunistic pathogen of healthcare-associated infections. The production of extended spectrum beta-lactamases (ESBL) is one of the resistance mechanisms of K. pneumoniae against antibiotics. In this study, the future clinical situation of ESBL-producing K. pneumoniae was investigated in… More
  •   Views:107       Downloads:88        Download PDF

  • Fractional Analysis of Dynamical Novel COVID-19 by Semi-Analytical Technique
  • Abstract This study employs a semi-analytical approach, called Optimal Homotopy Asymptotic Method (OHAM), to analyze a coronavirus (COVID-19) transmission model of fractional order. The proposed method employs Caputo's fractional derivatives and Reimann-Liouville fractional integral sense to solve the underlying model. To the best of our knowledge, this work presents the first application of an optimal homotopy asymptotic scheme for better estimation of the future dynamics of the COVID-19 pandemic. Our proposed fractional-order scheme for the parameterized model is based on the available number of infected cases from January 21 to January 28, 2020, in Wuhan City of China. For the considered… More
  •   Views:319       Downloads:271        Download PDF

  • Numerical Solutions of a Novel Designed Prevention Class in the HIV Nonlinear Model
  • Abstract The presented research aims to design a new prevention class (P) in the HIV nonlinear system, i.e., the HIPV model. Then numerical treatment of the newly formulated HIPV model is portrayed handled by using the strength of stochastic procedure based numerical computing schemes exploiting the artificial neural networks (ANNs) modeling legacy together with the optimization competence of the hybrid of global and local search schemes via genetic algorithms (GAs) and active-set approach (ASA), i.e., GA-ASA. The optimization performances through GA-ASA are accessed by presenting an error-based fitness function designed for all the classes of the HIPV model and its corresponding… More
  •   Views:404       Downloads:412        Download PDF

  • Solution of Modified Bergman Minimal Blood Glucose-Insulin Model Using Caputo-Fabrizio Fractional Derivative
  • Abstract Diabetes is a burning issue in the whole world. It is the imbalance between body glucose and insulin. The study of this imbalance is very much needed from a research point of view. For this reason, Bergman gave an important model named-Bergman minimal model. In the present work, using Caputo-Fabrizio (CF) fractional derivative, we generalize Bergman’s minimal blood glucose-insulin model. Further, we modify the old model by including one more component known as diet D(t), which is also essential for the blood glucose model. We solve the modified model with the help of Sumudu transform and fixed-point iteration procedures. Also,… More
  •   Views:517       Downloads:366        Download PDF

  • A Binomial Model Approach: Comparing the R0 Values of SARS-CoV-2 rRT-PCR Data from Laboratories across Northern Cyprus
  • Abstract Northern Cyprus has implemented relatively strict measures in the battle against the outbreak of severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). The measures were introduced at the beginning of the COVID-19 pandemic, in order to prevent the spread of the disease. One of these measures was the use of two separate real-time reverse transcription polymerase chain reaction (rRT-PCR) tests for SARS-CoV-2 referred to as the double screening procedure, which was adopted following the re-opening of the sea, air and land borders for passengers after the first lockdown. The rRT-PCR double screening procedure involved reporting a negative rRT-PCR test which was… More
  •   Views:420       Downloads:369        Download PDF

  • Modeling Dysentery Diarrhea Using Statistical Period Prevalence
  • Abstract Various epidemics have occurred throughout history, which has led to the investigation and understanding of their transmission dynamics. As a result, non-local operators are used for mathematical modeling in this study. Therefore, this research focuses on developing a dysentery diarrhea model with the use of a fractional operator using a one-parameter Mittag–Leffler kernel. The model consists of three classes of the human population, whereas the fourth one belongs to the pathogen population. The model carefully deals with the dimensional homogeneity among the parameters and the fractional operator. In addition, the model was validated by fitting the actual number of dysentery… More
  •   Views:454       Downloads:452        Download PDF

  • Regarding on the Fractional Mathematical Model of Tumour Invasion and Metastasis
  • Abstract In this paper, we analyze the behaviour of solution for the system exemplifying model of tumour invasion and metastasis by the help of q-homotopy analysis transform method (q-HATM) with the fractional operator. The analyzed model consists of a system of three nonlinear differential equations elucidating the activation and the migratory response of the degradation of the matrix, tumour cells and production of degradative enzymes by the tumour cells. The considered method is graceful amalgamations of q-homotopy analysis technique with Laplace transform (LT), and Caputo–Fabrizio (CF) fractional operator is hired in the present study. By using the fixed point theory, existence… More
  •   Views:1102       Downloads:689        Download PDF

  • Dynamical Transmission of Coronavirus Model with Analysis and Simulation
  • Abstract COVID-19 acts as a serious challenge to the whole world. Epidemiological data of COVID-19 is collected through media and web sources to analyze and investigate a system of nonlinear ordinary differential equation to understand the outbreaks of this epidemic disease. We analyze the diseases free and endemic equilibrium point including stability of the model. The certain threshold value of the basic reproduction number R0 is found to observe whether population is in disease free state or endemic state. Moreover, the epidemic peak has been obtained and we expect a considerable number of cases. Finally, some numerical results are presented which… More
  •   Views:709       Downloads:632        Download PDF