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Mathematics, Volume 9, Issue 15

2021 August-1 - 124 articles

Cover Story: β-adrenergic receptor stimulation (β-ARS) is a critical physiological mechanism of the human heart. It regulates cardiac function in stress conditions and during exercise and plays a crucial role in multiple heart diseases. Despite its importance, only a small number of computational studies to date have addressed the mathematical modelling of β-ARS. This feature review describes the latest progress in multiscale modelling and simulation to incorporate β-ARS signalling in mathematical models of cardiac function. It outlines applications and the main scientific advances of these multiscale frameworks in the study of cardiac pathology, together with an outlook on future directions of research for their improvement, and to further progress these models to a clinical environment. View this paper.
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Articles (124)

  • Article
  • Open Access
24 Citations
4,074 Views
14 Pages

28 July 2021

In this paper, a finite time thermodynamic model of high temperature proton exchange membrane fuel cell (HT-PEMFC) is established, in which the irreversible losses of polarization and leakage current during the cell operation are considered. The infl...

(This article belongs to the Special Issue Mathematical Modeling and Simulation in Mechanics and Dynamic Systems)
  • Article
  • Open Access
80 Citations
24,193 Views
34 Pages

Predator–Prey Models: A Review of Some Recent Advances

  • Érika Diz-Pita and
  • M. Victoria Otero-Espinar

28 July 2021

In recent years, predator–prey systems have increased their applications and have given rise to systems which represent more accurately different biological issues that appear in the context of interacting species. Our aim in this paper is to give a...

(This article belongs to the Section E3: Mathematical Biology)
  • Article
  • Open Access
133 Citations
41,658 Views
17 Pages

28 July 2021

The current COVID-19 pandemic has affected every aspect of consumer behavior—their expenses, investments, and financial reserves, as well as their financial and social wellbeing. As a consequence of different restrictions, consumers and their shoppin...

(This article belongs to the Special Issue Business and Economics Mathematics)
  • Article
  • Open Access
63 Citations
16,936 Views
18 Pages

Multi-Transformer: A New Neural Network-Based Architecture for Forecasting S&P Volatility

  • Eduardo Ramos-Pérez,
  • Pablo J. Alonso-González and
  • José Javier Núñez-Velázquez

28 July 2021

Events such as the Financial Crisis of 2007–2008 or the COVID-19 pandemic caused significant losses to banks and insurance entities. They also demonstrated the importance of using accurate equity risk models and having a risk management function able...

(This article belongs to the Special Issue Applications of Quantitative Methods in Business and Economics Research)
  • Article
  • Open Access
9 Citations
4,233 Views
12 Pages

27 July 2021

Object detection and segmentation can improve the accuracy of image recognition, but traditional methods can only extract the shallow information of the target, so the performance of algorithms is subject to many limitations. With the development of...

  • Article
  • Open Access
2 Citations
2,677 Views
14 Pages

27 July 2021

Network representation learning aims to learn low-dimensional, compressible, and distributed representational vectors of nodes in networks. Due to the expensive costs of obtaining label information of nodes in networks, many unsupervised network repr...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
4 Citations
3,284 Views
16 Pages

The Machine-Part Cell Formation Problem with Non-Binary Values: A MILP Model and a Case of Study in the Accounting Profession

  • Jose Joaquin del Pozo-Antúnez,
  • Francisco Fernández-Navarro,
  • Horacio Molina-Sánchez,
  • Antonio Ariza-Montes and
  • Mariano Carbonero-Ruz

27 July 2021

The traditional machine-part cell formation problem simultaneously clusters machines and parts in different production cells from a zero–one incidence matrix that describes the existing interactions between the elements. This manuscript explores a no...

(This article belongs to the Special Issue Application of Mathematical Methods to Economics, Management, Finance and Social Problems)
  • Article
  • Open Access
25 Citations
4,140 Views
14 Pages

27 July 2021

The semi-circular bend (SCB) specimen is widely used to measure fracture toughness of brittle materials such as rock. In this work, the stress field, fracture process zone (FPZ), and crack propagation velocity of SCB specimen are analyzed during the...

(This article belongs to the Special Issue Numerical Analysis and Scientific Computing)
  • Article
  • Open Access
19 Citations
3,760 Views
12 Pages

27 July 2021

This paper presents a novel third-order super-twisting-like integral sliding mode controller (3-ISMC) for trajectory tracking of nanopositioning applications. Different from traditional sliding mode control methods presenting with chattering problems...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
38 Citations
9,311 Views
15 Pages

Trading Cryptocurrencies as a Pandemic Pastime: COVID-19 Lockdowns and Bitcoin Volume

  • Alexander Guzmán,
  • Christian Pinto-Gutiérrez and
  • María-Andrea Trujillo

27 July 2021

This paper examines the impact of COVID-19 lockdowns on Bitcoin trading volume. Using data from Apple mobility trends and several time-series econometric models, we find that investors became active participants during the COVID-19 pandemic period an...

(This article belongs to the Special Issue Mathematical and Statistical Methods Applications in Finance)
  • Article
  • Open Access
7 Citations
8,822 Views
14 Pages

27 July 2021

The purpose of this research was to develop a measurement scale, the Pet Affection Scale (PAS), to understand owners’ personalities and attachment to their pets. The data were collected through two waves. There were 401 valid data collected from the...

(This article belongs to the Special Issue Recent Advances of Computational Statistics in Industry and Business)
  • Article
  • Open Access
6 Citations
4,339 Views
23 Pages

Decision Support System for Evaluating Suitable Job Applicants

  • Bogdan Walek,
  • Ondrej Pektor and
  • Radim Farana

27 July 2021

This paper describes a novel approach in the area of evaluating suitable job applicants for various job positions, and specifies typical areas of requirement and their usage. Requirements for this decision-support system are defined in order to be us...

(This article belongs to the Special Issue Multi-Criteria Optimization Models and Applications)
  • Article
  • Open Access
10 Citations
3,342 Views
16 Pages

Acoustics of Fractal Porous Material and Fractional Calculus

  • Zine El Abiddine Fellah,
  • Mohamed Fellah,
  • Nicholas O. Ongwen,
  • Erick Ogam and
  • Claude Depollier

27 July 2021

In this paper, we present a fractal (self-similar) model of acoustic propagation in a porous material with a rigid structure. The fractal medium is modeled as a continuous medium of non-integer spatial dimension. The basic equations of acoustics in a...

(This article belongs to the Special Issue Fractals, Fractional Calculus and Applied Statistics)
  • Feature Paper
  • Article
  • Open Access
1 Citations
2,219 Views
18 Pages

Randomized Simplicial Hessian Update

  • Árpád Bűrmen,
  • Tadej Tuma and
  • Jernej Olenšek

27 July 2021

Recently, a derivative-free optimization algorithm was proposed that utilizes a minimum Frobenius norm (MFN) Hessian update for estimating the second derivative information, which in turn is used for accelerating the search. The proposed update formu...

(This article belongs to the Special Issue Optimization Theory and Applications)
  • Article
  • Open Access
7 Citations
3,810 Views
26 Pages

Impact Dynamics Analysis of Mobile Mechanical Systems

  • Sorin Dumitru,
  • Andra Constantin,
  • Cristian Copilusi and
  • Nicolae Dumitru

27 July 2021

The current paper focuses on the impact phenomenon analysis, in the case of multi-body mechanical systems undergoing fast motion, due to the presence of some manufacturing and mounting errors or due to some accident during the transport mechanical sy...

(This article belongs to the Special Issue Dynamical Systems and Their Applications (DSTA) — In Memory of Prof. Dr. José A. Tenreiro Machado)
  • Article
  • Open Access
4,630 Views
26 Pages

Three-Stage Numerical Solution for Optimal Control of COVID-19

  • Luis Vargas Tamayo,
  • Vianney Mbazumutima,
  • Christopher Thron and
  • Léonard Todjihounde

27 July 2021

In this paper, we present a three-stage algorithm for finding numerical solutions for optimal control problems. The algorithm first performs an exhaustive search through a discrete set of widely dispersed solutions which are representative of large s...

(This article belongs to the Special Issue Advances in Markovian Dynamic and Stochastic Optimization Models in Diverse Application Areas)
  • Article
  • Open Access
4 Citations
3,427 Views
9 Pages

27 July 2021

The objective of this paper is to define one class of plane curves with arc-length parametrization. To accomplish this, we constructed a novel class of special polynomials and special functions. These functions form a basis of L2(R) space and some of...

(This article belongs to the Special Issue Applied Mathematics and Solid Mechanics)
  • Article
  • Open Access
13 Citations
5,970 Views
17 Pages

27 July 2021

Test case generation is an important process in software testing. However, manual generation of test cases is a time-consuming process. Automation can considerably reduce the time required to create adequate test cases for software testing. Genetic a...

(This article belongs to the Special Issue Mathematics in Software Reliability and Quality Assurance)
  • Article
  • Open Access
19 Citations
2,727 Views
23 Pages

26 July 2021

Integral inequalities for ℘-convex functions are established by using a generalised fractional integral operator based on Raina’s function. Hermite–Hadamard type inequality is presented for ℘-convex functions via generalised fractional integral opera...

(This article belongs to the Special Issue Analytic and Geometric Inequalities: Theory and Applications)
  • Article
  • Open Access
4 Citations
4,714 Views
17 Pages

A Revisited Conceptual Change in Mathematical-Physics Education from a Neurodidactic Approach: A Pendulum Inquiry

  • Julio Ballesta-Claver,
  • María Fernanda Ayllón Blanco and
  • Isabel Angustias Gómez Pérez

26 July 2021

Learning physics today contains a strong algebraic component, which does not contribute to making an effective conceptual change due to several misunderstandings and misconceptions that students have. Inquiry-based science education methodology (IBSE...

(This article belongs to the Special Issue Inclusive Mathematics Education and Basic Academic Skills: Language and Numeracy)
  • Article
  • Open Access
11 Citations
3,546 Views
15 Pages

26 July 2021

This paper is concerned with the optimal investment strategy for a defined contribution (DC) pension plan. We assumed that the financial market consists of a risk-free asset and a risky asset, where the risky asset is subject to the Ornstein–Uhlenbec...

  • Article
  • Open Access
27 Citations
5,753 Views
21 Pages

26 July 2021

This study addresses a multi-objective stochastic solid transportation problem (MOSSTP) with uncertainties in supply, demand, and conveyance capacity, following the Weibull distribution. This study aims to minimize multiple transportation costs in a...

  • Article
  • Open Access
13 Citations
4,211 Views
23 Pages

26 July 2021

After a major seismic event, structural safety inspections by qualified experts are required prior to reoccupying a building and resuming operation. Such manual inspections are generally performed by teams of two or more experts and are time consumin...

(This article belongs to the Special Issue Deep Learning and Machine Learning Mathematical Models for Computer Assisted Diagnostic Systems)
  • Article
  • Open Access
27 Citations
3,364 Views
13 Pages

26 July 2021

This year, we introduced the concept of infra soft topology as a new generalization of soft topology. To complete our analysis of this space, we devote this paper to presenting the concepts of infra soft connected and infra soft locally connected spa...

(This article belongs to the Special Issue Fuzzy Topology)
  • Article
  • Open Access
1 Citations
2,506 Views
23 Pages

Out-of-Sample Prediction in Multidimensional P-Spline Models

  • Alba Carballo,
  • María Durbán and
  • Dae-Jin Lee

26 July 2021

The prediction of out-of-sample values is an interesting problem in any regression model. In the context of penalized smoothing using a mixed-model reparameterization, a general framework has been proposed for predicting in additive models but withou...

(This article belongs to the Special Issue Methodological and Applied Contributions on Stochastic Modelling and Forecasting)
  • Article
  • Open Access
3 Citations
2,556 Views
25 Pages

Optimal Control of Insect Populations

  • Anderson L. Albuquerque de Araujo,
  • José L. Boldrini,
  • Roberto C. Cabrales,
  • Enrique Fernández-Cara and
  • Milton L. Oliveira

26 July 2021

We consider some optimal control problems for systems governed by linear parabolic PDEs with local controls that can move along the domain region Ω of the plane. We prove the existence of optimal paths and also deduce the first order necessary optima...

(This article belongs to the Special Issue Numerical Analysis and Scientific Computing)
  • Article
  • Open Access
7 Citations
4,931 Views
23 Pages

The Mathematics of Quasi-Diffusion Magnetic Resonance Imaging

  • Thomas R. Barrick,
  • Catherine A. Spilling,
  • Matt G. Hall and
  • Franklyn A. Howe

26 July 2021

Quasi-diffusion imaging (QDI) is a novel quantitative diffusion magnetic resonance imaging (dMRI) technique that enables high quality tissue microstructural imaging in a clinically feasible acquisition time. QDI is derived from a special case of the...

(This article belongs to the Special Issue Fractional Calculus in Magnetic Resonance)
  • Article
  • Open Access
3 Citations
2,402 Views
11 Pages

26 July 2021

In this article, we prove integral formulas for a Riemannian manifold equipped with a foliation F and a unit vector field N orthogonal to F, and generalize known integral formulas (due to Brito-Langevin-Rosenberg and Andrzejewski-Walczak) for foliati...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
4 Citations
2,496 Views
31 Pages

26 July 2021

This manuscript studies a double fractional extended p-dimensional coupled Gross–Pitaevskii-type system. This system consists of two parabolic partial differential equations with equal interaction constants, coupling terms, and spatial derivatives of...

(This article belongs to the Special Issue Numerical Analysis and Scientific Computing)
  • Article
  • Open Access
11 Citations
5,206 Views
20 Pages

Multi-Objective Optimization of Plastics Thermoforming

  • António Gaspar-Cunha,
  • Paulo Costa,
  • Wagner de Campos Galuppo,
  • João Miguel Nóbrega,
  • Fernando Duarte and
  • Lino Costa

26 July 2021

The practical application of a multi-objective optimization strategy based on evolutionary algorithms was proposed to optimize the plastics thermoforming process. For that purpose, in this work, differently from the other works proposed in the litera...

(This article belongs to the Special Issue Evolutionary Algorithms in Engineering Design Optimization)
  • Article
  • Open Access
12 Citations
3,963 Views
39 Pages

25 July 2021

Maximising profit is an important target for industries in a competitive world and it is possible to achieve this by improving the system availability. Engineers have employed many techniques to improve systems availability, such as adding redundant...

(This article belongs to the Special Issue Evolutionary Algorithms in Engineering Design Optimization)
  • Article
  • Open Access
3 Citations
2,233 Views
11 Pages

Bounds on the Rate of Convergence for MtX/MtX/1 Queueing Models

  • Alexander Zeifman,
  • Yacov Satin and
  • Alexander Sipin

25 July 2021

We apply the method of differential inequalities for the computation of upper bounds for the rate of convergence to the limiting regime for one specific class of (in)homogeneous continuous-time Markov chains. Such an approach seems very general; the...

(This article belongs to the Special Issue Stability Problems for Stochastic Models: Theory and Applications II)
  • Article
  • Open Access
2 Citations
2,066 Views
19 Pages

24 July 2021

The main purpose of this paper is to use the multiple twisted Bernoulli polynomials and their interpolation functions to construct multiple twisted Dedekind type sums. We investigate some properties of these sums. By use of the properties of multiple...

(This article belongs to the Section A: Algebra and Logic)
  • Article
  • Open Access
4 Citations
3,533 Views
17 Pages

On State Occupancies, First Passage Times and Duration in Non-Homogeneous Semi-Markov Chains

  • Andreas C. Georgiou,
  • Alexandra Papadopoulou,
  • Pavlos Kolias,
  • Haris Palikrousis and
  • Evanthia Farmakioti

24 July 2021

Semi-Markov processes generalize the Markov chains framework by utilizing abstract sojourn time distributions. They are widely known for offering enhanced accuracy in modeling stochastic phenomena. The aim of this paper is to provide closed analytic...

(This article belongs to the Special Issue Markov and Semi-markov Chains, Processes, Systems and Emerging Related Fields)
  • Article
  • Open Access
4,242 Views
37 Pages

Size Effects in Finite Element Modelling of 3D Printed Bone Scaffolds Using Hydroxyapatite PEOT/PBT Composites

  • Iñigo Calderon-Uriszar-Aldaca,
  • Sergio Perez,
  • Ravi Sinha,
  • Maria Camara-Torres,
  • Sara Villanueva,
  • Carlos Mota,
  • Alessandro Patelli,
  • Amaia Matanza,
  • Lorenzo Moroni and
  • Alberto Sanchez

24 July 2021

Additive manufacturing (AM) of scaffolds enables the fabrication of customized patient-specific implants for tissue regeneration. Scaffold customization does not involve only the macroscale shape of the final implant, but also their microscopic pore...

(This article belongs to the Special Issue Numerical Simulation in Biomechanics and Biomedical Engineering)
  • Article
  • Open Access
4 Citations
2,760 Views
20 Pages

24 July 2021

We present an extension of a non-iterative, partitioned method previously designed and used to model the interaction between an incompressible, viscous fluid and a thick elastic structure. The original method is based on the Robin boundary conditions...

  • Article
  • Open Access
4 Citations
3,797 Views
18 Pages

Power Spectral Density Analysis of Nanowire-Anchored Fluctuating Microbead Reveals a Double Lorentzian Distribution

  • Gregor Bánó,
  • Jana Kubacková,
  • Andrej Hovan,
  • Alena Strejčková,
  • Gergely T. Iványi,
  • Gaszton Vizsnyiczai,
  • Lóránd Kelemen,
  • Gabriel Žoldák,
  • Zoltán Tomori and
  • Denis Horvath

24 July 2021

In this work, we investigate the properties of a stochastic model, in which two coupled degrees of freedom are subordinated to viscous, elastic, and also additive random forces. Our model, which builds on previous progress in Brownian motion theory,...

(This article belongs to the Special Issue Mathematical Modeling and Simulation in Mechanics and Dynamic Systems)
  • Article
  • Open Access
4 Citations
2,613 Views
22 Pages

24 July 2021

In this paper, we establish a topological framework of τ-structures to quantify the evolutionary transitions between two RNA sequence–structure pairs. τ-structures developed here consist of a pair of RNA secondary structures together with a non-cross...

(This article belongs to the Section A: Algebra and Logic)
  • Article
  • Open Access
47 Citations
4,963 Views
18 Pages

24 July 2021

We employ the quantile-coherency approach and causality-in-quantile method to revisit the roles of Bitcoin, U.S. dollar, crude oil and gold for USA, Chinese, UK, and Japanese stock markets. The main results show that the impact of global financial as...

(This article belongs to the Special Issue Mathematics and Financial Economics)
  • Article
  • Open Access
11 Citations
6,397 Views
23 Pages

23 July 2021

Introductory programming courses in science, technology, engineering, and mathematics (STEM) degrees are critical to student success throughout the students’ academic and professional route but have traditional failure and dropout rates. The number o...

  • Article
  • Open Access
27 Citations
5,013 Views
14 Pages

Analysis and Optimization of Axial Flux Permanent Magnet Machine for Cogging Torque Reduction

  • Hina Usman,
  • Junaid Ikram,
  • Khurram Saleem Alimgeer,
  • Muhammad Yousuf,
  • Syed Sabir Hussain Bukhari and
  • Jong-Suk Ro

23 July 2021

In this paper, a hexagonal magnet shape is proposed to have an arc profile capable of reducing torque ripples resulting from cogging torque in a single-sided axial flux permanent magnet (AFPM) machine. The arc-shaped permanent magnet increases the ai...

(This article belongs to the Special Issue Mathematical Approaches to Modeling, Optimally Designing, and Controlling Electric Machine)
  • Article
  • Open Access
13 Citations
3,334 Views
13 Pages

Novel Single Inverter-Controlled Brushless Wound Field Synchronous Machine Topology

  • Syed Sabir Hussain Bukhari,
  • Ali Asghar Memon,
  • Sadjad Madanzadeh,
  • Ghulam Jawad Sirewal,
  • Jesús Doval-Gandoy and
  • Jong-Suk Ro

23 July 2021

This paper proposes a novel brushless excitation topology for a three-phase synchronous machine based on a customary current-controlled voltage source inverter (VSI). The inverter employs a simple hysteresis-controller-based current control scheme th...

(This article belongs to the Special Issue Mathematical Approaches to Modeling, Optimally Designing, and Controlling Electric Machine)
  • Article
  • Open Access
1 Citations
3,157 Views
14 Pages

Characterizing Mathematics Learning in Colombian Higher Distance Education

  • Elizabeth Martinez-Villarraga,
  • Isabel Lopez-Cobo,
  • David Becerra-Alonso and
  • Francisco Fernández-Navarro

23 July 2021

The aim of this work is to characterize the process of constructing mathematical knowledge by higher education students in a distance learning course. This was done as part of an algebra course within engineering degrees in a Colombian university. Th...

(This article belongs to the Special Issue Highlights of Research in the Didactics of Mathematics: The Insider’s Perspective)
  • Article
  • Open Access
14 Citations
7,258 Views
18 Pages

TPACK of Prospective Mathematics Teachers at an Early Stage of Training

  • Yuri Morales-López,
  • Yerlin Chacón-Camacho and
  • Wilbert Vargas-Delgado

23 July 2021

The objective of this work is to present the results of an investigation on the technological, pedagogical and content knowledge evidenced by mathematics teachers in the second year of initial training (preservice) at the Universidad Nacional, from t...

  • Article
  • Open Access
4 Citations
3,679 Views
20 Pages

Complexity Constraint in the Distributor’s Pallet Loading Problem

  • Hugo Barros,
  • Teresa Pereira,
  • António G. Ramos and
  • Fernanda A. Ferreira

23 July 2021

This paper presents a study on the complexity of cargo arrangements in the pallet loading problem. Due to the diversity of perspectives that have been presented in the literature, complexity is one of the least studied practical constraints. In this...

(This article belongs to the Special Issue Recent Process on Strategic Planning and Decision Making)
  • Article
  • Open Access
25 Citations
3,909 Views
30 Pages

A Chaotic Krill Herd Optimization Algorithm for Global Numerical Estimation of the Attraction Domain for Nonlinear Systems

  • Messaoud Aloui,
  • Faiçal Hamidi,
  • Houssem Jerbi,
  • Mohamed Omri,
  • Dumitru Popescu and
  • Rabeh Abbassi

23 July 2021

Nowadays, solving constrained engineering problems related to optimization approaches is an attractive research topic. The chaotic krill herd approach is considered as one of most advanced optimization techniques. An advanced hybrid technique is expl...

(This article belongs to the Special Issue Automatic Control and Soft Computing in Engineering)
  • Article
  • Open Access
11 Citations
3,190 Views
13 Pages

Numerical Assessment of the Structural Effects of Relative Sliding between Tissues in a Finite Element Model of the Foot

  • Marco A. Martínez Bocanegra,
  • Javier Bayod López,
  • Agustín Vidal-Lesso,
  • Andrés Mena Tobar and
  • Ricardo Becerro de Bengoa Vallejo

22 July 2021

Penetration and shared nodes between muscles, tendons and the plantar aponeurosis mesh elements in finite element models of the foot may cause inappropriate structural behavior of the tissues. Penetration between tissues caused using separate mesh wi...

(This article belongs to the Special Issue Numerical Simulation in Biomechanics and Biomedical Engineering)
  • Article
  • Open Access
1 Citations
2,369 Views
14 Pages

22 July 2021

The goal of this paper is to derive Hermite–Hadamard–Fejér-type inequalities for higher-order convex functions and a general three-point integral formula involving harmonic sequences of polynomials and w-harmonic sequences of functions. In special ca...

(This article belongs to the Special Issue Mathematical Inequalities with Applications)
  • Communication
  • Open Access
12 Citations
3,318 Views
16 Pages

High-Harmonic Injection-Based Brushless Wound Field Synchronous Machine Topology

  • Syed Sabir Hussain Bukhari,
  • Fareed Hussain Mangi,
  • Irfan Sami,
  • Qasim Ali and
  • Jong-Suk Ro

22 July 2021

This paper discusses the design and analysis of a high-harmonic injection-based field excitation scheme for the brushless operation of wound field synchronous machines (WFSMs) in order to achieve a higher efficiency. The proposed scheme involves two...

(This article belongs to the Special Issue Mathematical Approaches to Modeling, Optimally Designing, and Controlling Electric Machine)

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Mathematics - ISSN 2227-7390