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Mathematical and Computational Applications, Volume 28, Issue 3

2023 June - 15 articles

Cover Story: In Mexico, breast cancer is the first cause of death in women, becoming a health problem. We used deep learning techniques to discriminate between healthy and breast cancer patients based on the banding patterns obtained from the western blot strip images of the autoantibody response to tumor line antigens. The reaction of antibodies to tumor antigens occurs early in tumorigenesis, years before clinical symptoms. It is proposed to evolve a convolutional neural network (CNN) to find a suitable architecture to achieve competitive ranking, taking western blot images as input. The CNN obtained reached 90.67% accuracy, 90.71% recall, 95.34% specificity, and 90.69% precision in classifying healthy, benign breast pathology, and breast cancer classes. View this paper
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Articles (15)

  • Article
  • Open Access
2 Citations
3,325 Views
20 Pages

Inducing Perceptual Dominance with Binocular Rivalry in a Virtual Reality Head-Mounted Display

  • Julianne Blignaut,
  • Martin Venter,
  • David van den Heever,
  • Mark Solms and
  • Ivan Crockart

Binocular rivalry is the perceptual dominance of one visual stimulus over another. Conventionally, binocular rivalry is induced using a mirror-stereoscope—a setup involving mirrors oriented at an angle to a display. The respective mirror planes...

  • Article
  • Open Access
3 Citations
3,144 Views
13 Pages

Developing a Robust Bioventing Model

  • Mohammad Khodabakhshi Soureshjani and
  • Richard G. Zytner

Bioventing is a widely recognized technique for the remediation of petroleum hydrocarbon-contaminated soil. In this study, the objective was to identify an optimal mathematical model that balances accuracy and ease of implementation. A comprehensive...

  • Article
  • Open Access
2 Citations
2,052 Views
13 Pages

Evolutionary Selection of a Set of Association Rules Considering Biological Constraints Describing the Prevalent Elements in Bacterial Vaginosis

  • María Concepción Salvador-González,
  • Juana Canul-Reich,
  • Rafael Rivera-López,
  • Efrén Mezura-Montes and
  • Erick de la Cruz-Hernandez

Bacterial Vaginosis is a common disease and recurring public health problem. Additionally, this infection can trigger other sexually transmitted diseases. In the medical field, not all possible combinations among the pathogens of a possible case of B...

  • Article
  • Open Access
9 Citations
2,183 Views
20 Pages

A class of zipper fractal functions is more versatile than corresponding classes of traditional and fractal interpolants due to a binary vector called a signature. A zipper fractal function constructed through a zipper iterated function system (IFS)...

  • Article
  • Open Access
1,757 Views
13 Pages

Internal diffusion limited aggregation (IDLA) is a random aggregation model on a graph G, whose clusters are formed by random walks started in the origin (some fixed vertex) and stopped upon visiting a previously unvisited site. On the Sierpinski gas...

  • Article
  • Open Access
5 Citations
2,839 Views
11 Pages

Neuroevolution of Convolutional Neural Networks for Breast Cancer Diagnosis Using Western Blot Strips

  • José-Luis Llaguno-Roque,
  • Rocio-Erandi Barrientos-Martínez,
  • Héctor-Gabriel Acosta-Mesa,
  • Tania Romo-González and
  • Efrén Mezura-Montes

Breast cancer has become a global health problem, ranking first in incidences and fifth in mortality in women around the world. In Mexico, the first cause of death in women is breast cancer. This work uses deep learning techniques to discriminate bet...

  • Editorial
  • Open Access
4 Citations
2,007 Views
3 Pages

Numerical and Evolutionary Optimization 2021

  • Marcela Quiroz-Castellanos,
  • Luis Gerardo de la Fraga,
  • Adriana Lara,
  • Leonardo Trujillo and
  • Oliver Schütze

This Special Issue was inspired by the 9th International Workshop on Numerical and Evolutionary Optimization (NEO 2021) held—due to the COVID-19 pandemic—as an online-only event from 8 to 10 September 2021 [...]

  • Article
  • Open Access
2 Citations
1,881 Views
15 Pages

Robust and computationally efficient numeric algorithms are required to simulate the sintering process of complex ceramic components by means of the finite element method. This work focuses on a thermodynamically consistent sintering model capturing...

  • Article
  • Open Access
1 Citations
2,287 Views
18 Pages

This paper introduced a comparison method for three explicitly defined intermediate encoding methods in generative design for two-dimensional soft robotic units. This study evaluates a conventional genetic algorithm with full access to removing eleme...

  • Article
  • Open Access
7 Citations
3,700 Views
31 Pages

Routing, Modulation Level, and Spectrum Assignment in Elastic Optical Networks—A Serial Stage Approach with Multiple Sub-Sets of Requests Based on Integer Linear Programming

  • Luis Víctor Maidana Benítez,
  • Melisa María Rosa Villamayor Paredes,
  • José Colbes,
  • César F. Bogado-Martínez,
  • Benjamin Barán and
  • Diego P. Pinto-Roa

This paper addresses serialized approaches of the routing, modulation level, and spectrum assignment (RMLSA) problem in elastic optical networks, using multiple sequential sub-sets of requests, under Integer Linear Programming (ILP). The literature h...

  • Article
  • Open Access
1 Citations
2,344 Views
10 Pages

Images or paintings with homogeneous colors may appear dull to the naked eye; however, there may be numerous details in the image that are expressed through subtle changes in color. This manuscript introduces a novel approach that can uncover these c...

  • Feature Paper
  • Review
  • Open Access
1 Citations
3,476 Views
23 Pages

This is a brief survey of selected results obtained using the “transversality method” developed for studying parametrized families of fractal sets and measures. We mostly focus on the early development of the theory, restricting ourselves...

  • Article
  • Open Access
1 Citations
2,859 Views
15 Pages

The Use of Computational Fluid Dynamics for Assessing Flow-Induced Acoustics to Diagnose Lung Conditions

  • Khanyisani Mhlangano Makhanya,
  • Simon Connell,
  • Muaaz Bhamjee and
  • Neil Martinson

Pulmonary diseases are a leading cause of illness and disability globally. While having access to hospitals or specialist clinics for investigations is currently the usual way to characterize the patient’s condition, access to medical services...

  • Article
  • Open Access
4 Citations
4,846 Views
9 Pages

The distribution of the sum of negative binomial random variables has a special role in insurance mathematics, actuarial sciences, and ecology. Two methods to estimate this distribution have been published: a finite-sum exact expression and a series...

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Math. Comput. Appl. - ISSN 2297-8747