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Mathematical and Computational Applications, Volume 30, Issue 1

2025 February - 20 articles

Cover Story: The balance between the production and drainage of aqueous humor (AH) in the human eye determines the value of its intraocular pressure (IOP). Since elevated IOP is an established risk factor for glaucoma, the second leading cause of blindness worldwide, the purpose of this study was to understand the relation between a volume change in ciliary epithelial cells and AH production. Volume-averaging the equations representing cell cytoplasm as a homogeneous mixture of water and solutes allowed us to obtain a reduced-order model (ROM) of cell volume dynamics, retaining the main system features at an affordable cost. Our simulations suggest that charged proteins and the sodium–potassium pump have a significant impact on cell volume change and AH production. This encourages the use of the ROM as a supporting tool to prevent and cure ocular diseases. View this paper
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Articles (20)

  • Article
  • Open Access
1 Citations
1,165 Views
15 Pages

Control Strategy of a Rotating Power Flow Controller Based on an Improved Hybrid Particle Swarm Optimization Algorithm

  • Ziyang Zhang,
  • Jiaoxin Jia,
  • Waseem Aslam,
  • Abubakar Siddique and
  • Fahad R. Albogamy

As the proportion of renewable energy sources integrated into the power grid increases, it imposes significant volatility on the grid, leading to uneven load distribution across certain transmission lines. Rotating Power Flow Controllers (RPFCs) base...

  • Article
  • Open Access
1 Citations
1,827 Views
22 Pages

Vibration Control of Light Bridges Under Moving Loads Using Nonlinear Semi-Active Absorbers

  • Hamed Saber,
  • Farhad S. Samani,
  • Francesco Pellicano,
  • Moslem Molaie and
  • Antonio Zippo

The dynamic response of light bridges to moving loads presents significant challenges in controlling vibrations that can impact on the structural integrity and the user comfort. This study investigates the effectiveness of nonlinear semi-active absor...

  • Article
  • Open Access
2 Citations
1,081 Views
21 Pages

Mode Shape Projection for Damage Detection of Laminated Composite Plates

  • Morteza Saadatmorad,
  • Mohammad-Hadi Pashaei,
  • Ramazan-Ali Jafari-Talookolaei and
  • Samir Khatir

The wavelet technique has limitations in detecting damage at the edges of two-dimensional signals. This weakness arises from the nature of the wavelet transform procedure, which shifts the signal by differencing the signal’s pair arrays in the...

  • Article
  • Open Access
1 Citations
1,600 Views
20 Pages

In this study, a novel symbolic regression-based empirical equation has been developed to compute the joint roughness coefficient (JRC) value based on the statistical parameters of rock joints. The symbolic regression was adopted to map the nonlinear...

  • Article
  • Open Access
2 Citations
1,526 Views
32 Pages

Stratified Metamodeling to Predict Concrete Compressive Strength Using an Optimized Dual-Layered Architectural Framework

  • Geraldo F. Neto,
  • Bruno da S. Macêdo,
  • Tales H. A. Boratto,
  • Tiago Silveira Gontijo,
  • Matteo Bodini,
  • Camila Saporetti and
  • Leonardo Goliatt

Concrete is one of the most commonly used construction materials worldwide, and its compressive strength is the most important mechanical property to be defined at the time of structural design. Establishing a relationship between the amount of each...

  • Article
  • Open Access
5 Citations
2,370 Views
29 Pages

This study presents a mathematical model to describe the transmission dynamics of malaria in a highly endemic region, with a focus on vaccination and vaccine-induced immunity as primary control measures. By determining the basic reproduction number (...

  • Feature Paper
  • Article
  • Open Access
1,917 Views
12 Pages

Analysis of Primary Healthcare Indicators

  • Ana Leonor Saraiva,
  • Cristiana J. Silva,
  • Jorge Cabral,
  • José Pedro Antunes,
  • Paula Rama,
  • Sofia J. Pinheiro and
  • Vera Afreixo

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 c...

  • Feature Paper
  • Article
  • Open Access
2 Citations
1,649 Views
38 Pages

Reduced-Order Model for Cell Volume Homeostasis: Application to Aqueous Humor Production

  • Riccardo Sacco,
  • Greta Chiaravalli,
  • Giovanna Guidoboni,
  • Anita Layton,
  • Gal Antman,
  • Keren Wood Shalem,
  • Alice Verticchio,
  • Brent Siesky and
  • Alon Harris

The ability of a cell to keep its volume constant irrespective of intra- and extracellular conditions is essential for cellular homeostasis and survival. The purpose of this study is to elaborate a theoretical model of cell volume homeostasis and to...

  • Article
  • Open Access
4 Citations
1,541 Views
22 Pages

Cyber–Physical System Attack Detection and Isolation: A Takagi–Sugeno Approach

  • Angel R. Guadarrama-Estrada,
  • Gloria L. Osorio-Gordillo,
  • Rodolfo A. Vargas-Méndez,
  • Juan Reyes-Reyes and
  • Carlos M. Astorga-Zaragoza

This paper presents an approach for designing a generalized dynamic observer (GDO) aimed at detecting and isolating attack patterns that compromise the functionality of cyber–physical systems. The considered attack patterns include denial-of-se...

  • Article
  • Open Access
3 Citations
1,662 Views
22 Pages

In this paper, we present novel seasonal carrying capacity prey–predator models with a general functional response, which is that of Crowley–Martin. Seasonality effects are classified into two categories: sudden and periodic perturbations...

  • Article
  • Open Access
4 Citations
1,301 Views
21 Pages

In this study, the solution of the buckling problem of axially loaded laminated cylindrical shells consisting of functionally graded (FG) nanocomposites in elastic and thermal environments is presented within extended first-order shear deformation th...

  • Article
  • Open Access
3 Citations
3,235 Views
15 Pages

Enhanced Forecasting of Equity Fund Returns Using Machine Learning

  • Fabiano Fernandes Bargos and
  • Estaner Claro Romão

This paper aims to explore the integration of machine learning with risk and return performance measures, to provide a data-driven approach to identifying opportunities in equity funds. We built a dataset with 72 performance measures in the columns c...

  • Article
  • Open Access
6 Citations
1,531 Views
26 Pages

Today, cloud computing is a widely used technology that provides a wide range of services to numerous sectors around the world. This technology depends on the interaction and cooperation of virtual machines (VMs) to complete various computing tasks,...

  • Article
  • Open Access
1 Citations
1,354 Views
13 Pages

In this study, a new hybrid method based on the generalized finite difference method (GFDM) and radial basis function (RBF) neural network technologies is developed to solve the inverse problems of surface anomalous diffusion. Specifically, the GFDM...

  • Article
  • Open Access
11 Citations
1,540 Views
21 Pages

The primary purpose of this work is to provide a new fractional boundary element method (BEM) formulation to solve thermal stress wave propagation problems in anisotropic materials. In the Laplace domain, the fundamental solutions to the governing eq...

  • Article
  • Open Access
9 Citations
1,426 Views
12 Pages

This paper explores the vibration behaviour of an elastically constrained graphene origami-enabled auxetic metamaterial beam subject to a harmonic external force. The effective mechanical properties of the metamaterial are approximated using a microm...

  • Article
  • Open Access
17 Citations
1,794 Views
24 Pages

Economic Peaks and Value-at-Risk Analysis: A Novel Approach Using the Laplace Distribution for House Prices

  • Jondeep Das,
  • Partha Jyoti Hazarika,
  • Morad Alizadeh,
  • Javier E. Contreras-Reyes,
  • Hebatallah H. Mohammad and
  • Haitham M. Yousof

In this article, a new extension of the standard Laplace distribution is introduced for house price modeling. Certain important properties of the new distribution are deducted throughout this study. We used the new extension of the Laplace model to c...

  • Article
  • Open Access
1 Citations
1,225 Views
16 Pages

A kind of finite difference Hermite WENO (HWENO) method is presented in this paper to deal with convection-dominated convection-diffusion equations in uniform grids. The benefit of the HWENO method is its compactness, allowing great accuracy to be at...

  • Article
  • Open Access
3 Citations
1,745 Views
24 Pages

Data-Driven Fault Diagnosis in Water Pipelines Based on Neuro-Fuzzy Zonotopic Kalman Filters

  • Esvan-Jesús Pérez-Pérez,
  • Yair González-Baldizón,
  • José-Armando Fragoso-Mandujano,
  • Julio-Alberto Guzmán-Rabasa and
  • Ildeberto Santos-Ruiz

This work presents a data-driven approach for diagnosing sensor faults and leaks in hydraulic pipelines using neuro-fuzzy Zonotopic Kalman Filters (ZKF). The approach involves two key steps: first, identifying the nonlinear pipeline system using an a...

  • Article
  • Open Access
4 Citations
2,302 Views
26 Pages

Advanced Hybrid Brain Tumor Segmentation in MRI: Elephant Herding Optimization Combined with Entropy-Guided Fuzzy Clustering

  • Baiju Karun,
  • Arunprasath Thiyagarajan,
  • Pallikonda Rajasekaran Murugan,
  • Natarajan Jeyaprakash,
  • Kottaimalai Ramaraj and
  • Rakhee Makreri

Accurate and early detection of brain tumors is essential for improving clinical outcomes and guiding effective treatment planning. Traditional segmentation techniques in MRI often struggle with challenges such as noise, intensity variations, and com...

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Math. Comput. Appl. - ISSN 2297-8747