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Mathematical and Computational Applications, Volume 27, Issue 2

April 2022 - 15 articles

Cover Story: We implemented stochastic recurrent neural networks (Boltzmann machines) for automated cell tracking in image sequences of growing bacterial populations to minimize task-specific costs. These new non-linear functionals were inferred from data, with key parameters determined numerically with an innovative algorithm. This approach enables good identification of cell divisions and efficient cell tracking in tightly packed cell populations, reaching cell registration accuracies ranging from 90% to 100% per frame when applied to images of E. Coli populations in microfluidic traps, as well as image sequences of simulated bacterial colonies. View this paper
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Articles (15)

  • Article
  • Open Access
9 Citations
3,307 Views
14 Pages

On the Prediction of Evaporation in Arid Climate Using Machine Learning Model

  • Mansura Jasmine,
  • Abdolmajid Mohammadian and
  • Hossein Bonakdari

Evaporation calculations are important for the proper management of hydrological resources, such as reservoirs, lakes, and rivers. Data-driven approaches, such as adaptive neuro fuzzy inference, are getting popular in many hydrological fields. This p...

  • Feature Paper
  • Article
  • Open Access
6 Citations
4,359 Views
26 Pages

Benchmarking Regridding Libraries Used in Earth System Modelling

  • Sophie Valcke,
  • Andrea Piacentini and
  • Gabriel Jonville

Components of Earth system models (ESMs) usually use different numerical grids because of the different environments they represent. Therefore, a coupling field sent by a source model has to be regridded to be used by a target model. The regridding h...

  • Article
  • Open Access
11 Citations
4,490 Views
13 Pages

Nadarajah–Haghighi Lomax Distribution and Its Applications

  • Vasili B. V. Nagarjuna,
  • Rudravaram Vishnu Vardhan and
  • Christophe Chesneau

Over the years, several researchers have worked to model phenomena in which the distribution of data presents more or less heavy tails. With this aim, several generalizations or extensions of the Lomax distribution have been proposed. In this paper,...

  • Article
  • Open Access
4 Citations
2,971 Views
25 Pages

Applications of ANFIS-Type Methods in Simulation of Systems in Marine Environments

  • Aakanksha Jain,
  • Iman Bahreini Toussi,
  • Abdolmajid Mohammadian,
  • Hossein Bonakdari and
  • Majid Sartaj

ANFIS-type algorithms have been used in various modeling and simulation problems. With the help of algorithms with more accuracy and adaptability, it is possible to obtain better real-life emulating models. A critical environmental problem is the dis...

  • Article
  • Open Access
2 Citations
3,249 Views
14 Pages

In Vivo Validation of a Cardiovascular Simulation Model in Pigs

  • Moriz A. Habigt,
  • Jonas Gesenhues,
  • Maike Stemmler,
  • Marc Hein,
  • Rolf Rossaint and
  • Mare Mechelinck

Many computer simulation models of the cardiovascular system, of varying complexity and objectives, have been proposed in physiological science. Every model needs to be parameterized and evaluated individually. We conducted a porcine animal model to...

  • Article
  • Open Access
5 Citations
3,121 Views
16 Pages

Image Segmentation with a Priori Conditions: Applications to Medical and Geophysical Imaging

  • Guzel Khayretdinova,
  • Christian Gout,
  • Théophile Chaumont-Frelet and
  • Sergei Kuksenko

In this paper, we propose a method for semi-supervised image segmentation based on geometric active contours. The main novelty of the proposed method is the initialization of the segmentation process, which is performed with a polynomial approximatio...

  • Article
  • Open Access
10 Citations
3,228 Views
17 Pages

Theoretical and Computational Results of a Memory-Type Swelling Porous-Elastic System

  • Adel M. Al-Mahdi,
  • Mohammad M. Al-Gharabli and
  • Mohamed Alahyane

In this paper, we consider a memory-type swelling porous-elastic system. First, we use the multiplier method to prove explicit and general decay results to solutions of the system with sufficient regularities. These decay results are established unde...

  • Article
  • Open Access
19 Citations
2,919 Views
15 Pages

The phenomenon of convective flow with heat and mass transfer has been studied extensively due to its applications in various fields. The effects of nonlinear thermal radiation (NLTR), slip, thermal-diffusion (Soret) and diffusion-thermo (Dufour) on...

  • Article
  • Open Access
15 Citations
6,588 Views
18 Pages

Evaluation of Machine Learning Algorithms for Early Diagnosis of Deep Venous Thrombosis

  • Eduardo Enrique Contreras-Luján,
  • Enrique Efrén García-Guerrero,
  • Oscar Roberto López-Bonilla,
  • Esteban Tlelo-Cuautle,
  • Didier López-Mancilla and
  • Everardo Inzunza-González

Deep venous thrombosis (DVT) is a disease that must be diagnosed quickly, as it can trigger the death of patients. Nowadays, one can find different ways to determine it, including clinical scoring, D-dimer, ultrasonography, etc. Recently, scientists...

  • Feature Paper
  • Article
  • Open Access
4 Citations
3,285 Views
18 Pages

Variable Decomposition for Large-Scale Constrained Optimization Problems Using a Grouping Genetic Algorithm

  • Guadalupe Carmona-Arroyo,
  • Marcela Quiroz-Castellanos and
  • Efrén Mezura-Montes

Several real optimization problems are very difficult, and their optimal solutions cannot be found with a traditional method. Moreover, for some of these problems, the large number of decision variables is a major contributing factor to their complex...

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Math. Comput. Appl. - ISSN 2297-8747Creative Common CC BY license