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Mathematical and Computational Applications, Volume 29, Issue 6

December 2024 - 27 articles

Cover Story: Due to the extreme complexity of Alzheimer’s disease, mathematical models, if deemed reliable, can be used to test medical hypotheses. In this context, it is important to understand how and τ proteins interact and spread. Here, we are interested in studying the spreading of misfolded τ and we present four different mathematical models on networks. The models differ in both the choice of network and diffusion operator. Through comparison with clinical data on τ concentration, obtained with careful multimodal analysis techniques, we show that some models are more adequate than others to simulate the dynamics of the protein. This type of study may suggest that, when it comes to modeling certain pathologies, the choice of the mathematical setting must be made with great care if comparison with clinical data are considered decisive. View this paper
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Articles (27)

  • Article
  • Open Access
1,744 Views
15 Pages

19 December 2024

The classification of red blood cells (RBCs) or erythrocytes into three categories based on their shape, normal, sickle-shaped, and those with other deformations, has proven to be a crucial tool in diagnosing and managing sickle cell disease (SCD). M...

  • Article
  • Open Access
804 Views
13 Pages

18 December 2024

An exact numerical and approximate analytical description of solitary acoustic pulses with a large difference in spatial gradients of parameters in different directions has been obtained in viscous liquids using this small parameter. The method of sp...

  • Article
  • Open Access
1 Citations
1,141 Views
18 Pages

17 December 2024

Biochemical reaction systems in a cell exhibit stochastic behaviour, owing to the unpredictable nature of the molecular interactions. The fluctuations at the molecular level may lead to a different behaviour than that predicted by the deterministic m...

  • Article
  • Open Access
1 Citations
1,753 Views
16 Pages

New Metaheuristics to Solve the Internet Shopping Optimization Problem with Sensitive Prices

  • Miguel A. García-Morales,
  • José Alfredo Brambila-Hernández,
  • Héctor J. Fraire-Huacuja,
  • Juan Frausto,
  • Laura Cruz,
  • Claudia Gómez and
  • Alfredo Peña-Ramos

14 December 2024

In this research, two new methods for solving the Internet shopping optimization problem with sensitive prices are proposed, incorporating adaptive adjustment of control parameters. This problem is classified as NP-hard and is relevant to current ele...

  • Article
  • Open Access
3 Citations
1,245 Views
27 Pages

Design of Dual-Channel Supply Chain Network Based on the Internet of Things Under Uncertainty

  • Hamed Nozari,
  • Hossein Abdi,
  • Agnieszka Szmelter-Jarosz and
  • Seyyed Hesamoddin Motevalli

12 December 2024

In this paper, a mathematical model of a dual-channel supply chain network (DCSCN) based on the Internet of Things (IoT) under uncertainty is presented, and its solution using algorithms based on artificial intelligence such as genetic algorithm (GA)...

  • Article
  • Open Access
3 Citations
1,665 Views
29 Pages

12 December 2024

Alzheimer’s disease (AD) is a degenerative disorder characterized by progressive cognitive decline and memory loss. The few contemporary therapies may ease symptoms and/or slow down AD progression but cannot cure the disease. The orally adminis...

  • Article
  • Open Access
1,631 Views
23 Pages

11 December 2024

We derive a one-dimensional macroscopic model for biofilm formation in a porous medium reactor to investigate the role of longitudinal diffusion of substrate and suspended bacteria on reactor performance. By comparing an existing base model—one...

  • Article
  • Open Access
1,205 Views
12 Pages

Recent studies have shown that by using channel-correlation and cosparsity in a centralized framework, the accuracy of reconstructing multichannel EEG signals can be improved. A single-channel electroencephalogram (EEG) signal is intrinsically non-sp...

  • Article
  • Open Access
1,210 Views
22 Pages

A Novel Hybrid Computational Technique to Study Conformable Burgers’ Equation

  • Abdul-Majeed Ayebire,
  • Atul Pasrija,
  • Mukhdeep Singh Manshahia and
  • Shelly Arora

A fully discrete computational technique involving the implicit finite difference technique and cubic Hermite splines is proposed to solve the non-linear conformable damped Burgers’ equation with variable coefficients numerically. The proposed...

  • Feature Paper
  • Article
  • Open Access
1 Citations
1,461 Views
18 Pages

A Network-Based Study of the Dynamics of and τ Proteins in Alzheimer’s Disease

  • Stefano Bianchi,
  • Germana Landi,
  • Camilla Marella,
  • Maria Carla Tesi,
  • Claudia Testa and
  • on behalf of the Alzheimer’s Disease Neuroimaging Initiative

Due to the extreme complexity of Alzheimer’s disease (AD), the etiology of which is not yet known, and for which there are no known effective treatments, mathematical modeling can be very useful. Indeed, mathematical models, if deemed reliable,...

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Math. Comput. Appl. - ISSN 2297-8747