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Mathematical and Computational Applications, Volume 29, Issue 4

2024 August - 24 articles

Cover Story: Finite element modeling has become one of the main tools necessary for understanding cardiovascular homeostasis and lesion progression. The accuracy of such simulations significantly depends on the precision of material parameters, which are obtained via the mechanical characterization process, i.e., experimental testing and material parameter estimation using the optimization process. The process of mounting specimens on the machine often introduces slight preloading to avoid sagging and to ensure perpendicular orientation with respect to the loading axes. As such, the reference configuration proposes non-zero forces at zero-state displacements. This error further extends to material parameters’ estimation where initial loading is usually manually annulled. In this work, we have developed a new computational procedure that includes prestretches during mechanical characterization. View this paper
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Articles (24)

  • Article
  • Open Access
7 Citations
3,865 Views
28 Pages

Numerical Modelling of Corrugated Paperboard Boxes

  • Rhoda Ngira Aduke,
  • Martin P. Venter and
  • Corné J. Coetzee

Numerical modelling of corrugated paperboard is quite challenging due to its waved geometry and material non-linearity which is affected by the material properties of the individual paper sheets. Because of the complex geometry and material behaviour...

(This article belongs to the Special Issue Current Problems and Advances in Computational and Applied Mechanics (AfriComp6))
  • Article
  • Open Access
2 Citations
2,533 Views
22 Pages

This study investigates the dynamic behavior of an SIRS epidemic model in discrete time, focusing primarily on mathematical analysis. We identify two equilibrium points, disease-free and endemic, with our main focus on the stability of the endemic st...

(This article belongs to the Collection Mathematical Modelling of COVID-19)
  • Article
  • Open Access
6 Citations
1,986 Views
15 Pages

Estimation of Anthocyanins in Heterogeneous and Homogeneous Bean Landraces Using Probabilistic Colorimetric Representation with a Neuroevolutionary Approach

  • José-Luis Morales-Reyes,
  • Elia-Nora Aquino-Bolaños,
  • Héctor-Gabriel Acosta-Mesa and
  • Aldo Márquez-Grajales

The concentration of anthocyanins in common beans indicates their nutritional value. Understanding this concentration makes it possible to identify the functional compounds present. Previous studies have presented color characterization as two-dimens...

(This article belongs to the Special Issue New Trends in Computational Intelligence and Applications 2023)
  • Article
  • Open Access
8 Citations
4,871 Views
20 Pages

In this work, interval type-2 and type-3 fuzzy systems were designed, of Mamdani and Sugeno types, for time series prediction. The aggregation performed by the type-2 and type-3 fuzzy systems was carried out by using the results of an optimized ensem...

(This article belongs to the Section Engineering)
  • Article
  • Open Access
7 Citations
2,922 Views
19 Pages

Dynamical Properties of Perturbed Hill’s System

  • Mohammed K. Ibrahim,
  • Taha Rabeh and
  • Elbaz I. Abouelmagd

In this work, some dynamical properties of Hill’s system are studied under the effect of continued fraction perturbation. The locations and kinds of equilibrium points are identified, and it is demonstrated that these points are saddle points a...

  • Article
  • Open Access
1,614 Views
26 Pages

The Latent Space Perspicacity and Interpretation Enhancement (LS-PIE) framework enhances dimensionality reduction methods for linear latent variable models (LVMs). This paper extends LS-PIE by introducing an optimal latent discovery strategy to autom...

(This article belongs to the Special Issue Current Problems and Advances in Computational and Applied Mechanics (AfriComp6))
  • Article
  • Open Access
4 Citations
2,376 Views
13 Pages

It is costly and time-consuming to design and manufacture functional polyurethane heart valve prototypes, to evaluate and comprehend their hemodynamic behaviour. To enhance the rapid and effective design of replacement heart valves, to meet the minim...

(This article belongs to the Special Issue Current Problems and Advances in Computational and Applied Mechanics (AfriComp6))
  • Article
  • Open Access
4 Citations
3,369 Views
8 Pages

Accurate Analytical Approximation for the Bessel Function J2(x)

  • Pablo Martin,
  • Juan Pablo Ramos-Andrade,
  • Fabián Caro-Pérez and
  • Freddy Lastra

We obtain an accurate analytic approximation for the Bessel function J2(x) using an improved multipoint quasirational approximation technique (MPQA). This new approximation is valid for all real values of the variable x, with a maximum absolute error...

  • Article
  • Open Access
3 Citations
2,216 Views
20 Pages

Mathematical Structure of RelB Dynamics in the NF-κB Non-Canonical Pathway

  • Toshihito Umegaki,
  • Naoya Hatanaka and
  • Takashi Suzuki

This study analyzed the non-canonical NF-κB pathway, which controls functions distinct from those of the canonical pathway. Although oscillations of NF-κB have been observed in the non-canonical pathway, a detailed mechanism explaining th...

  • Article
  • Open Access
1,917 Views
24 Pages

Accurate assessment and prediction of mandible shape are fundamental prerequisites for successful orthognathic surgery. Previous studies have predominantly used linear models to predict lower facial structures from facial landmarks or measurements; t...

(This article belongs to the Special Issue Current Problems and Advances in Computational and Applied Mechanics (AfriComp6))
  • Article
  • Open Access
1,451 Views
10 Pages

In this paper, Lie symmetries and Noether symmetries along with the corresponding conservation laws are derived for weakly nonlinear dispersive magnetohydrodynamic wave equations, also known as the triple degenerate derivative nonlinear Schrödin...

(This article belongs to the Special Issue Symmetry Methods for Solving Differential Equations)
  • Article
  • Open Access
2 Citations
3,122 Views
16 Pages

The growth in academic and scientific publications has increased very rapidly. Researchers must choose a representative and significant literature for their research, which has become challenging worldwide. Usually, the paper citation number indicate...

(This article belongs to the Topic New Advances in Granular Computing and Data Mining)
  • Article
  • Open Access
12 Citations
4,632 Views
12 Pages

Unraveling Time Series Dynamics: Evaluating Partial Autocorrelation Function Distribution and Its Implications

  • Hossein Hassani,
  • Leila Marvian,
  • Masoud Yarmohammadi and
  • Mohammad Reza Yeganegi

The objective of this paper is to assess the distribution of the Partial Autocorrelation Function (PACF), both theoretically and empirically, emphasizing its crucial role in modeling and forecasting time series data. Additionally, it evaluates the de...

  • Article
  • Open Access
2 Citations
4,355 Views
16 Pages

Modeling of the Human Cardiovascular System: Implementing a Sliding Mode Observer for Fault Detection and Isolation

  • Dulce A. Serrano-Cruz,
  • Latifa Boutat-Baddas,
  • Mohamed Darouach,
  • Carlos M. Astorga-Zaragoza and
  • Gerardo V. Guerrero Ramírez

This paper presents a mathematical model of the cardiovascular system (CVS) designed to simulate both normal and pathological conditions within the systemic circulation. The model introduces a novel representation of the CVS through a change of coord...

(This article belongs to the Special Issue Numerical and Evolutionary Optimization 2024)
  • Feature Paper
  • Article
  • Open Access
1 Citations
2,897 Views
18 Pages

Computational Cost Reduction in Multi-Objective Feature Selection Using Permutational-Based Differential Evolution

  • Jesús-Arnulfo Barradas-Palmeros,
  • Efrén Mezura-Montes,
  • Rafael Rivera-López,
  • Hector-Gabriel Acosta-Mesa and
  • Aldo Márquez-Grajales

Feature selection is a preprocessing step in machine learning that aims to reduce dimensionality and improve performance. The approaches for feature selection are often classified according to the evaluation of a subset of features as filter, wrapper...

(This article belongs to the Special Issue Numerical and Evolutionary Optimization 2024)
  • Article
  • Open Access
1 Citations
2,222 Views
21 Pages

Improved Mechanical Characterization of Soft Tissues Including Mounting Stretches

  • Toni Škugor,
  • Lana Virag,
  • Gerhard Sommer and
  • Igor Karšaj

Finite element modeling has become one of the main tools necessary for understanding cardiovascular homeostasis and lesion progression. The accuracy of such simulations significantly depends on the precision of material parameters, which are obtained...

(This article belongs to the Special Issue Current Problems and Advances in Computational and Applied Mechanics (AfriComp6))
  • Article
  • Open Access
5 Citations
2,690 Views
17 Pages

Novel Results on Legendre Polynomials in the Sense of a Generalized Fractional Derivative

  • Francisco Martínez,
  • Mohammed K. A. Kaabar and
  • Inmaculada Martínez

In this article, new results are investigated in the context of the recently introduced Abu-Shady–Kaabar fractional derivative. First, we solve the generalized Legendre fractional differential equation. As in the classical case, the generalized...

  • Article
  • Open Access
4 Citations
3,461 Views
32 Pages

Online condition-monitoring techniques that are used to reveal incipient faults before breakdowns occur are typically data-driven or model-based. We propose the use of a fundamental physics-based thermofluid model of a heat pump cycle combined with d...

(This article belongs to the Special Issue Current Problems and Advances in Computational and Applied Mechanics (AfriComp6))
  • Article
  • Open Access
2 Citations
2,782 Views
15 Pages

H State and Parameter Estimation for Lipschitz Nonlinear Systems

  • Pedro Eusebio Alvarado-Méndez,
  • Carlos M. Astorga-Zaragoza,
  • Gloria L. Osorio-Gordillo,
  • Adriana Aguilera-González,
  • Rodolfo Vargas-Méndez and
  • Juan Reyes-Reyes

A H robust adaptive nonlinear observer for state and parameter estimation of a class of Lipschitz nonlinear systems with disturbances is presented in this work. The objective is to estimate parameters and monitor the performance of nonlinear p...

(This article belongs to the Special Issue Numerical and Evolutionary Optimization 2024)
  • Article
  • Open Access
18 Citations
2,778 Views
13 Pages

This article presents a pioneering mathematical model, fuzzy bipolar hypersoft (FBHS) sets, which combines the bipolarity of parameters with the fuzziness of data. Motivated by the need for a comprehensive framework capable of addressing uncertainty...

  • Review
  • Open Access
63 Citations
7,318 Views
27 Pages

The intersection of the Internet of Things (IoT) and the circular economy (CE) creates a revolutionary opportunity to redefine economic sustainability and resilience. This review article explores the intricate interplay between IoT technologies and C...

  • Article
  • Open Access
2 Citations
2,004 Views
24 Pages

Semantic segmentation is an essential process in computer vision that allows users to differentiate objects of interest from the background of an image by assigning labels to the image pixels. While Convolutional Neural Networks have been widely used...

(This article belongs to the Special Issue New Trends in Computational Intelligence and Applications 2023)
  • Article
  • Open Access
1 Citations
1,982 Views
24 Pages

Our comprehension of the real world remains perpetually incomplete, compelling us to rely on models to decipher intricate real-world phenomena. However, these models, at their pinnacle, serve merely as close approximations of the systems they seek to...

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Math. Comput. Appl. - ISSN 2297-8747