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Mathematical and Computational Applications, Volume 27, Issue 5

2022 October - 14 articles

Cover Story: Formation and evolution of biological transport networks, such as leaf venation in plants, can be modeled as a constrained energy minimization problem. In the continuum description, the corresponding gradient flow leads to an elliptic-parabolic system of partial differential equations. The local network conductivity can be formulated either as a vector field or a symmetric positive definite tensor field. We compare numerically the two approaches and offer results of systematic simulations which provide insights into how these two formulations differ. View this paper
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Articles (14)

  • Feature Paper
  • Article
  • Open Access
3 Citations
3,090 Views
16 Pages

Comparison of Two Aspects of a PDE Model for Biological Network Formation

  • Clarissa Astuto,
  • Daniele Boffi,
  • Jan Haskovec,
  • Peter Markowich and
  • Giovanni Russo

We compare the solutions of two systems of partial differential equations (PDEs), seen as two different interpretations of the same model which describes the formation of complex biological networks. Both approaches take into account the time evoluti...

  • Article
  • Open Access
3 Citations
5,928 Views
11 Pages

Graph Theory Approach to COVID-19 Transmission by Municipalities and Age Groups

  • Pedro Machado,
  • Sofia J. Pinheiro,
  • Vera Afreixo,
  • Cristiana J. Silva and
  • Rui Leitão

The COVID-19 pandemic remains a global problem that affects the health of millions of people and the world economy. Identifying how the movement of people between regions of the world, countries, and municipalities and how the close contact between i...

  • Article
  • Open Access
1 Citations
2,049 Views
13 Pages

The objective of this paper is to study a new mathematical model describing the human immunodeficiency virus (HIV). The model incorporates the impacts of cytotoxic T lymphocyte (CTL) immunity and antibodies with trilinear growth functions. The bounde...

  • Article
  • Open Access
2 Citations
2,262 Views
16 Pages

In traditional density peak clustering, when the density distribution of samples in a dataset is uneven, the density peak points are often concentrated in the region with dense sample distribution, which is easy to affect clustering accuracy. Under t...

  • Article
  • Open Access
2 Citations
2,873 Views
17 Pages

28 September 2022

Reliable quantification of pulmonary arterial pressure is essential in the diagnostic and prognostic assessment of a range of cardiovascular pathologies, including rheumatic heart disease, yet an accurate and routinely available method for its quanti...

  • Article
  • Open Access
25 Citations
3,311 Views
16 Pages

A SARS-CoV-2 Fractional-Order Mathematical Model via the Modified Euler Method

  • Ihtisham Ul Haq,
  • Mehmet Yavuz,
  • Nigar Ali and
  • Ali Akgül

26 September 2022

This article develops a within-host viral kinetics model of SARS-CoV-2 under the Caputo fractional-order operator. We prove the results of the solution’s existence and uniqueness by using the Banach mapping contraction principle. Using the next...

  • Article
  • Open Access
7 Citations
3,278 Views
20 Pages

23 September 2022

In this paper, we focus on investigating the performance of the mathematical software program Maple and the programming language MATLAB when using these respective platforms to compute the method of steps (MoS) and the Laplace transform (LT) solution...

  • Article
  • Open Access
2 Citations
2,307 Views
13 Pages

19 September 2022

Here, our main aim is to examine the impacts of Dufour and Soret in a radiative Darcy–Forchheimer flow. Ohmic heating and the dissipative features are outlined. The characteristics of the thermo-diffusion and diffusion-thermo effects are addres...

  • Article
  • Open Access
1 Citations
2,984 Views
14 Pages

16 September 2022

A proper understanding of the porous structure of packed beds of spheres is imperative in the analysis and design of the processes involving fluid flow and heat and mass transfer. The radial variation in porosity is of specific interest. When the pos...

  • Article
  • Open Access
1 Citations
3,056 Views
22 Pages

Spectral Analysis of the Finite Element Matrices Approximating 3D Linearly Elastic Structures and Multigrid Proposals

  • Quoc Khanh Nguyen,
  • Stefano Serra-Capizzano,
  • Cristina Tablino-Possio and
  • Eddie Wadbro

14 September 2022

The so-called material distribution methods for topology optimization cast the governing equation as an extended or fictitious domain problem, in which a coefficient field represents the design. In practice, the finite element method is typically use...

  • Review
  • Open Access
51 Citations
18,096 Views
24 Pages

A Review of Artificial Intelligence and Machine Learning for Incident Detectors in Road Transport Systems

  • Samuel Olugbade,
  • Stephen Ojo,
  • Agbotiname Lucky Imoize,
  • Joseph Isabona and
  • Mathew O. Alaba

13 September 2022

Road transport is the most prone to accidents, resulting in significant fatalities and injuries. It also faces a plethora of never-ending problems, such as the frequent loss of lives and valuables during an accident. Appropriate actions need to be ta...

  • Article
  • Open Access
2 Citations
3,094 Views
13 Pages

Furniture Style Compatibility Estimation by Multi-Branch Deep Siamese Network

  • Ayumu Taisho,
  • Keiko Ono,
  • Erina Makihara,
  • Naoya Ikushima and
  • Sohei Yamakawa

As demands for understanding visual style among interior scenes increase, estimating style compatibility is becoming challenging. In particular, furniture styles are difficult to define due to their various elements, such as color and shape. As a res...

  • Article
  • Open Access
5 Citations
2,539 Views
16 Pages

Reasonable trajectory planning is the precondition for the parafoil airdrop system to achieve autonomous accurate homing, and safe landing. To successfully realize the self-homing of the parafoil airdrop system, a new trajectory optimization design s...

  • Article
  • Open Access
1 Citations
1,987 Views
17 Pages

An Optimal Iterative Technique for Multiple Root Finder of Nonlinear Problems

  • Ramandeep Behl,
  • Sonia Bhalla,
  • Fouad Mallawi and
  • Majed Aali Alsulami

In this paper, an optimal higher-order iterative technique to approximate the multiple roots of a nonlinear equation has been presented. The proposed technique has special properties: a two-point method that does not involve any derivatives, has an o...

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Math. Comput. Appl. - ISSN 2297-8747