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Mathematical and Computational Applications, Volume 28, Issue 6

2023 December - 10 articles

Cover Story: A method for the analysis of super-resolution microscopy images is presented. This method is based on the analysis of stochastic trajectories of particles moving on the membrane of a cell with the assumption that the properties of this membrane determine this motion. Thus, this method aims to recover the membrane's structural properties by solving an inverse problem governed by the Fokker–Planck equation related to the stochastic trajectories. Results of numerical experiments demonstrate the proposed method's ability to reconstruct the potential of a cell membrane using synthetic data similar to those captured using super-resolution microscopy of luminescent activated proteins. View this paper
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Articles (10)

  • Article
  • Open Access
1 Citations
2,422 Views
17 Pages

14 December 2023

A method for the analysis of super-resolution microscopy images is presented. This method is based on the analysis of stochastic trajectories of particles moving on the membrane of a cell with the assumption that this motion is determined by the prop...

  • Article
  • Open Access
3 Citations
2,921 Views
21 Pages

Chemical vapor deposition (CVD) is a common industrial process that incorporates a complex combination of fluid flow, chemical reactions, and surface deposition. Understanding CVD processes requires rigorous and costly experimentation involving multi...

  • Article
  • Open Access
1 Citations
2,046 Views
19 Pages

30 November 2023

In the present paper, the process of estimating the important statistical properties of extreme wind loads on structures is investigated by considering the effect of large variability. In fact, for the safety design and operating conditions of struct...

  • Article
  • Open Access
2 Citations
2,420 Views
8 Pages

22 November 2023

The extended Fisher–Kolmogorov (EFK) equation is an important model for phase transitions and bistable phenomena. This paper presents some fast explicit numerical schemes based on the integrating factor Runge–Kutta method and the Fourier...

  • Article
  • Open Access
7 Citations
2,056 Views
16 Pages

15 November 2023

This article derives approximate formulations for Rayleigh waves on a coated orthorhombic elastic half-space with a prescribed vertical load acting as an elastic Winkler foundation. In addition, perfect continuity conditions are imposed between the c...

  • Article
  • Open Access
7 Citations
1,922 Views
20 Pages

Fractional Hermite–Hadamard-Type Inequalities for Differentiable Preinvex Mappings and Applications to Modified Bessel and q-Digamma Functions

  • Muhammad Tariq,
  • Hijaz Ahmad,
  • Asif Ali Shaikh,
  • Sotiris K. Ntouyas,
  • Evren Hınçal and
  • Sania Qureshi

The theory of convexity pertaining to fractional calculus is a well-established concept that has attracted significant attention in mathematics and various scientific disciplines for over a century. In the realm of applied mathematics, convexity, par...

  • Article
  • Open Access
5 Citations
3,102 Views
23 Pages

The preventive measures taken to curb the spread of COVID-19 have emphasized the importance of wearing face masks to prevent potential infection with serious diseases during daily activities or for medical professionals working in hospitals. Due to t...

  • Article
  • Open Access
3 Citations
2,908 Views
21 Pages

Model-Based Assessment of Elastic Material Parameters in Rheumatic Heart Disease Patients and Healthy Subjects

  • Mary A. Familusi,
  • Sebastian Skatulla,
  • Jagir R. Hussan,
  • Olukayode O. Aremu,
  • Daniel Mutithu,
  • Evelyn N. Lumngwena,
  • Freedom N. Gumedze and
  • Ntobeko A. B. Ntusi

Non-invasive measurements are important for the development of new treatments for heart failure, which is one of the leading causes of death worldwide. This study aimed to develop realistic subject-specific computational models of human biventricles...

  • Article
  • Open Access
1 Citations
2,066 Views
16 Pages

Modelization of Low-Cost Maneuvers for an Areostationary Preliminary Mission Design

  • Marta M. Sánchez-García,
  • Gonzalo Barderas and
  • Pilar Romero

The aim of this paper is to analyze the determination of interplanetary trajectories from Earth to Mars to evaluate the cost of the required impulse magnitudes for an areostationary orbiter mission design. Such analysis is first conducted by solving...

  • Article
  • Open Access
2 Citations
2,304 Views
18 Pages

An innovative cascade predictor is presented in this study to forecast the state of recurrent neural networks (RNNs) with delayed output. This cascade predictor is a chain-structured observer, as opposed to the conventional single observer, and is ma...

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Math. Comput. Appl. - ISSN 2297-8747