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Mathematics, Volume 10, Issue 18

September-2 2022 - 192 articles

Cover Story: In this paper, we present a mathematical model to investigate the effect of NK cells on oncolytic virotherapy. Particularly, we focused on the minimum condition for NK cells to be activated in terms of parameters and how the activation of NK cells interacts and changes the dynamics among cancer, infected cancer cells and oncolytic virus. Analytic works for the existence and stability conditions of equilibrium points are provided. Numerical results are in good agreement with analytic solutions. Our numerical results show that equilibrium points can be created or destroyed by the activation of NK cells in a dynamical system and suggest that the balance between the bursting rate of the virus and the activation rate of NK cells is a crucial factor for successful OV therapy. View this paper
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Articles (192)

  • Article
  • Open Access
4 Citations
1,988 Views
18 Pages

19 September 2022

This paper studies an alternating direction implicit orthogonal spline collocation (ADIOSC) technique for calculating the numerical solution of the hyperbolic integrodifferential problem with a weakly singular kernel in the two-dimensional domain. Th...

  • Article
  • Open Access
14 Citations
2,509 Views
14 Pages

Multiple Degradation Skilled Network for Infrared and Visible Image Fusion Based on Multi-Resolution SVD Updation

  • Gunnam Suryanarayana,
  • Vijayakumar Varadarajan,
  • Siva Ramakrishna Pillutla,
  • Grande Nagajyothi and
  • Ghamya Kotapati

19 September 2022

Existing infrared (IR)-visible (VIS) image fusion algorithms demand source images with the same resolution levels. However, IR images are always available with poor resolution due to hardware limitations and environmental conditions. In this correspo...

  • Article
  • Open Access
7 Citations
2,078 Views
12 Pages

h-Almost Ricci–Yamabe Solitons in Paracontact Geometry

  • Uday Chand De,
  • Mohammad Nazrul Islam Khan and
  • Arpan Sardar

18 September 2022

In this article, we classify h-almost Ricci–Yamabe solitons in paracontact geometry. In particular, we characterize para-Kenmotsu manifolds satisfying h-almost Ricci–Yamabe solitons and 3-dimensional para-Kenmotsu manifolds obeying h-almo...

  • Article
  • Open Access
17 Citations
8,244 Views
27 Pages

18 September 2022

Recent years have witnessed the intensive development of live streaming E-commerce, an emerging business mode. Although it contributes to economic growth, various forms of chaos show up and disturbs the market order. Therefore, from 1 July 2020, the...

  • Article
  • Open Access
1 Citations
2,221 Views
17 Pages

On Comprehension of Genetic Programming Solutions: A Controlled Experiment on Semantic Inference

  • Boštjan Slivnik,
  • Željko Kovačević,
  • Marjan Mernik and
  • Tomaž Kosar

18 September 2022

Applied to the problem of automatic program generation, Genetic Programming often produces code bloat, or unexpected solutions that are, according to common belief, difficult to comprehend. To study the comprehensibility of the code produced by Genet...

  • Article
  • Open Access
5 Citations
2,227 Views
13 Pages

18 September 2022

This paper proposes a new fractional-order model reference adaptive control (FOMRAC) framework for a fractional-order multivariable system with parameter uncertainty. The designed FOMRAC scheme depends on a fractional-order nonlinear scalar update la...

  • Article
  • Open Access
11 Citations
3,202 Views
21 Pages

Model Predictive Control for Stabilization of DC Microgrids in Island Mode Operation

  • Duberney Murillo-Yarce,
  • Sebastián Riffo,
  • Carlos Restrepo,
  • Catalina González-Castaño and
  • Alejandro Garcés

18 September 2022

DC microgrid (DCMG) is a promising technology for integrating distributed resources, such as solar generation and energy storage devices, that are intrinsically DC. Recently, model predictive control (MPC) is one of the control techniques that has be...

  • Article
  • Open Access
6 Citations
2,534 Views
15 Pages

18 September 2022

Force tracking control for hydraulic series elastic actuators (SEAs) is the demand in robots interacting with the surrounding world. However, the inherent nonlinearities and uncertainties of the hydraulic system, as well as the unknown environment, m...

  • Article
  • Open Access
6 Citations
2,105 Views
22 Pages

17 September 2022

The evaluation of rockburst damage potential plays a significant role in managing rockburst risk and guaranteeing the safety of personnel. However, it is still a challenging problem because of its complex mechanisms and numerous influencing factors....

  • Article
  • Open Access
1 Citations
1,819 Views
20 Pages

17 September 2022

The object under investigation is a controllable linear stochastic differential system affected by some external statistically uncertain piecewise continuous disturbances. They are directly unobservable but assumed to be a continuous-time Markov chai...

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Mathematics - ISSN 2227-7390