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Mathematics, Volume 10, Issue 18

2022 September-2 - 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
1 Citations
2,560 Views
30 Pages

19 September 2022

Automatic Machine Learning (AML) methods are currently considered of great interest for use in the development of cyber-physical systems. However, in practice, they present serious application problems with respect to fitness computation, overfitting...

  • Article
  • Open Access
20 Citations
2,582 Views
9 Pages

19 September 2022

The family of the generalized Schrödinger equations with Kerr nonlinearity of unrestricted order is considered. The solutions of equations are looked for using traveling wave reductions. The Painlevé test is applied for finding arbitrary...

  • Article
  • Open Access
1 Citations
1,891 Views
13 Pages

On the Complexity of Stable and Biased Majority

  • Pablo Concha-Vega,
  • Eric Goles,
  • Pedro Montealegre and
  • Martín Ríos-Wilson

19 September 2022

A majority automata is a two-state cellular automata, where each cell updates its state according to the most represented state in its neighborhood. A question that naturally arises in the study of these dynamical systems asks whether there exists an...

  • Article
  • Open Access
2 Citations
3,166 Views
11 Pages

19 September 2022

Single-cell RNA sequencing (scRNA-seq) technology has been a significant direction for single-cell research due to its high accuracy and specificity, as it enables unbiased high-throughput studies with minimal sample sizes. The continuous improvement...

  • Article
  • Open Access
10 Citations
4,346 Views
27 Pages

19 September 2022

This work is devoted to the procedure for constructing of a cyclically correlated random process of a continuous argument as a mathematical model of cyclic signals in dynamic systems, which makes it possible to consistently describe cyclic stochastic...

  • Article
  • Open Access
21 Citations
2,990 Views
39 Pages

19 September 2022

In this paper, we proposed a tunicate swarm algorithm based on Tent-Lévy flight (TLTSA) to avoid converging prematurely or failing to escape from a local optimal solution. First, we combined nine chaotic maps with the Lévy flight strategy to obtain n...

  • Article
  • Open Access
4 Citations
1,780 Views
7 Pages

19 September 2022

In this paper, three forms of (2 + l)-dimensional Burgers’ equations are investigated. More general multiple solutions of these Burgers’ equations are obtained by dependent variable transformation derived using the simplified homogeneous...

  • Article
  • Open Access
18 Citations
2,332 Views
22 Pages

Entropy Analysis in MHD CNTS Flow Due to a Stretching Surface with Thermal Radiation and Heat Source/Sink

  • K. N. Sneha,
  • U. S. Mahabaleshwar,
  • Mohsen Sharifpur,
  • Mohammad Hossein Ahmadi and
  • Mohammed Al-Bahrani

19 September 2022

The consequence of magnetohydrodynamics (MHD) flow on entropy generation analysis and thermal radiation for carbon nanotubes via a stretched surface through a magnetic field has been discovered. The governing partial differential equations are altere...

  • Article
  • Open Access
12 Citations
2,379 Views
13 Pages

Fault-Tolerant Integrated Guidance and Control Design for Hypersonic Vehicle Based on PPO

  • Jia Song,
  • Yuxie Luo,
  • Mingfei Zhao,
  • Yunlong Hu and
  • Yanxue Zhang

19 September 2022

Aiming at the problem of the terminal guidance phase of hypersonic vehicles (HSV) under fault condition, and considering the existence of various uncertain parameters and actuator faults in the control system, a fault-tolerant integrated guidance and...

  • Article
  • Open Access
23 Citations
2,528 Views
21 Pages

Closed-Form Solutions in a Magneto-Electro-Elastic Circular Rod via Generalized Exp-Function Method

  • Muhammad Shakeel,
  • Attaullah,
  • Mohammed Kbiri Alaoui,
  • Ahmed M. Zidan,
  • Nehad Ali Shah and
  • Wajaree Weera

19 September 2022

In this study, the dispersal caused by the transverse Poisson’s effect in a magneto-electro-elastic (MEE) circular rod is taken into consideration using the nonlinear longitudinal wave equation (LWE), a mathematical physics problem. Using the g...

  • Article
  • Open Access
3 Citations
1,839 Views
12 Pages

19 September 2022

The interest in large or extreme outliers in arrays of empirical information is caused by the wishes of users (with whom the author worked): specialists in medical and zoo geography, mining, the application of meteorology in fishing tasks, etc. The f...

  • Article
  • Open Access
9 Citations
2,698 Views
12 Pages

19 September 2022

In traditional agricultural quality control, agricultural products are screened manually and then packaged and transported. However, long-term fruit storage is challenging in tropical climates, especially in the case of cherry tomatoes. Cherry tomato...

  • Correction
  • Open Access
1,505 Views
7 Pages

19 September 2022

The author wishes to make the following corrections to this paper [1]:In Abstract, (1) “It depicts how data analytics has been used in IR for a better understanding system effectiveness” should be “It depicts how data analytics has...

  • Article
  • Open Access
5 Citations
2,434 Views
19 Pages

19 September 2022

The nonlinear bending of the sandwich plates with graphene nanoplatelets (GPLs) reinforced porous composite (GNRPC) core and two metal skins subjected to different boundary conditions and various loads, such as the concentrated load at the center, li...

  • Article
  • Open Access
10 Citations
2,084 Views
21 Pages

19 September 2022

After the research on naBL-algebras gained by the non-associative t-norms and overlap functions, inflationary BL-algebras were also studied as a recent kind of non-associative generalization of BL-algebras, which can be obtained by general overlap fu...

  • Article
  • Open Access
10 Citations
4,475 Views
15 Pages

Deep Learning Model for Global Spatio-Temporal Image Prediction

  • Dušan P. Nikezić,
  • Uzahir R. Ramadani,
  • Dušan S. Radivojević,
  • Ivan M. Lazović and
  • Nikola S. Mirkov

19 September 2022

Mathematical methods are the basis of most models that describe the natural phenomena around us. However, the well-known conventional mathematical models for atmospheric modeling have some limitations. Machine learning with Big Data is also based on...

  • Article
  • Open Access
36 Citations
6,765 Views
18 Pages

ECG Signal Features Classification for the Mental Fatigue Recognition

  • Eglė Butkevičiūtė,
  • Aleksėjus Michalkovič and
  • Liepa Bikulčienė

19 September 2022

Mental fatigue is a major public health issue worldwide that is common among both healthy and sick people. In the literature, various modern technologies, together with artificial intelligence techniques, have been proposed. Most techniques consider...

  • Article
  • Open Access
10 Citations
2,503 Views
17 Pages

19 September 2022

Due to the lack of body stability of emergency rescue vehicles, their attitude stability is insufficient and they are unable to realize working while driving, resulting in low rescue efficiency. Aiming at the water tower fire truck, which is equipped...

  • Article
  • Open Access
1 Citations
2,768 Views
25 Pages

When Is a Graded Free Complex Exact?

  • David C. Molano,
  • Javier A. Moreno and
  • Carlos E. Valencia

19 September 2022

Minimal free resolutions of a finitely generated module over a polynomial ring S=k[x], with variables x={x1,,xn} and a field k have been extensively studied. Almost all the results in the literature about minimal free resolutions give their B...

  • Article
  • Open Access
4 Citations
2,048 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
2,612 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
8 Citations
2,166 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
19 Citations
8,485 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
2,317 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
2,332 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
12 Citations
3,320 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
7 Citations
2,641 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
2,184 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
2 Citations
1,879 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...

  • Article
  • Open Access
2,694 Views
15 Pages

17 September 2022

Exchange rates are determined by factors such as interest rates, political stability, confidence, the current account on balance of payments, government intervention, economic growth and relative inflation rates, among other variables. In October 201...

  • Article
  • Open Access
1,556 Views
16 Pages

17 September 2022

For an exchange economy with a continuum of traders and a finite-dimensional commodity space under some standard assumptions, Aumann showed that the core and the set of competitive allocations (two most important solutions) coincide and Mas-Colell pr...

  • Article
  • Open Access
17 Citations
5,324 Views
25 Pages

17 September 2022

In view of prey’s delayed fear due to predators, delayed predator gestation, and the significance of intra-specific competition between predators when their populations are sufficiently large, a prey–predator population model with a densi...

  • Article
  • Open Access
95 Citations
4,208 Views
10 Pages

Soliton Solutions of Klein–Fock–Gordon Equation Using Sardar Subequation Method

  • Hamood Ur Rehman,
  • Ifrah Iqbal,
  • Suhad Subhi Aiadi,
  • Nabil Mlaiki and
  • Muhammad Shoaib Saleem

17 September 2022

The Klein–Fock–Gordon equation (KFGE), defined as the equation of relativistic wave related to NLEEs, has numerous implications for energy particle physics and is useful as a model for several types of matter, with deviation in the basic...

  • Article
  • Open Access
11 Citations
5,058 Views
15 Pages

DExMA: An R Package for Performing Gene Expression Meta-Analysis with Missing Genes

  • Juan Antonio Villatoro-García,
  • Jordi Martorell-Marugán,
  • Daniel Toro-Domínguez,
  • Yolanda Román-Montoya,
  • Pedro Femia and
  • Pedro Carmona-Sáez

17 September 2022

Meta-analysis techniques allow researchers to jointly analyse different studies to determine common effects. In the field of transcriptomics, these methods have gained popularity in recent years due to the increasing number of datasets that are avail...

  • Article
  • Open Access
5 Citations
1,926 Views
16 Pages

16 September 2022

In this paper, we study nonlocal dynamics of a nonlinear delay differential equation. This equation with different types of nonlinearities appears in medical, physical, biological, and ecological applications. The type of nonlinearity in this paper i...

  • Article
  • Open Access
1 Citations
1,775 Views
11 Pages

Mixture Modeling of Time-to-Event Data in the Proportional Odds Model

  • Xifen Huang,
  • Chaosong Xiong,
  • Jinfeng Xu,
  • Jianhua Shi and
  • Jinhong Huang

16 September 2022

Subgroup analysis with survival data are most essential for detailed assessment of the risks of medical products in heterogeneous population subgroups. In this paper, we developed a semiparametric mixture modeling strategy in the proportional odds mo...

  • Article
  • Open Access
15 Citations
1,749 Views
12 Pages

16 September 2022

In this article, we derive the above and below bounds for parameterized-type inequalities using the Riemann–Liouville fractional integral operators and limited second derivative mappings. These established inequalities generalized the midpoint-...

  • Article
  • Open Access
13 Citations
1,557 Views
14 Pages

16 September 2022

This paper is concerned with the partial anti-synchronization of the 4D financial hyper-chaotic system with periodically external disturbance. Firstly, the existence of the partial anti-synchronization problem for the nominal 4D financial system is p...

  • Article
  • Open Access
28 Citations
2,560 Views
12 Pages

Application of the Expφξ-Expansion Method to Find the Soliton Solutions in Biomembranes and Nerves

  • Attia Rani,
  • Muhammad Shakeel,
  • Mohammed Kbiri Alaoui,
  • Ahmed M. Zidan,
  • Nehad Ali Shah and
  • Prem Junsawang

16 September 2022

Heimburg and Jackson devised a mathematical model known as the Heimburg model to describe the transmission of electromechanical pulses in nerves, which is a significant step forward. The major objective of this paper was to examine the dynamics of th...

  • Article
  • Open Access
7 Citations
2,938 Views
29 Pages

16 September 2022

Multivariate modelling of economics data is crucial for risk and profit analyses in companies. However, for the final conclusions, a whole set of variables is usually transformed into a single variable describing a total profit/balance of company&rsq...

  • Feature Paper
  • Article
  • Open Access
8 Citations
3,429 Views
18 Pages

16 September 2022

Oncolytic virotherapy (OV) is a cancer therapy utilizing lytic viruses that specifically target cancer cells for elimination. In this relatively new therapy, two contradictory observations have been made. Some studies showed that immune responses inc...

  • Article
  • Open Access
9 Citations
1,508 Views
17 Pages

16 September 2022

In this paper, we introduce a generalized Δ-implicit locally contractive condition and give some examples to support it and show its significance in fixed point theory. We prove that the mappings satisfying the generalized Δ-implicit loca...

  • Article
  • Open Access
12 Citations
2,495 Views
23 Pages

Intelligent Multi-Strategy Hybrid Fuzzy K-Nearest Neighbor Using Improved Hybrid Sine Cosine Algorithm

  • Chengfeng Zheng,
  • Mohd Shareduwan Mohd Kasihmuddin,
  • Mohd. Asyraf Mansor,
  • Ju Chen and
  • Yueling Guo

16 September 2022

The sine and cosine algorithm is a new simple and effective population optimization method proposed in recent years that has been studied in many works of literature. Based on the basic principle of the sine and cosine algorithm, this paper fully stu...

  • Article
  • Open Access
8 Citations
3,820 Views
29 Pages

The Correlation between Bone Density and Mechanical Variables in Bone Remodelling Models: Insights from a Case Study Corresponding to the Femur of a Healthy Adult

  • José Luis Calvo-Gallego,
  • Fernando Gutiérrez-Millán,
  • Joaquín Ojeda,
  • María Ángeles Pérez and
  • Javier Martínez-Reina

16 September 2022

Bone remodelling models (BRM) are often used to estimate the density distribution in bones from the loads they are subjected to. BRM define a relationship between a certain variable measuring the mechanical stimulus at each bone site and either the l...

  • Article
  • Open Access
5 Citations
2,212 Views
24 Pages

A New Parameter Choice Strategy for Lavrentiev Regularization Method for Nonlinear Ill-Posed Equations

  • Santhosh George,
  • Jidesh Padikkal,
  • Krishnendu Remesh and
  • Ioannis K. Argyros

16 September 2022

In this paper, we introduced a new source condition and a new parameter-choice strategy which also gives the known best error estimate. To obtain the results we used the assumptions used in earlier studies. Further, we studied the proposed new parame...

  • Article
  • Open Access
4 Citations
2,009 Views
7 Pages

16 September 2022

In this paper, the improved split-step θ method, named the split-step composite θ method, is proposed to study the mean-square stability for stochastic differential equations with a fixed time delay. Under the global Lipschitz and linear...

  • Article
  • Open Access
2 Citations
2,566 Views
17 Pages

Efficient Estimation and Inference in the Proportional Odds Model for Survival Data

  • Xifen Huang,
  • Chaosong Xiong,
  • Tao Jiang,
  • Junfeng Lu and
  • Jinfeng Xu

16 September 2022

In modeling time-to-event data with long-term survivors, the proportional hazards model is widely used for its easy and direct interpretation as well as the flexibility to accommodate the past information and allow time-varying predictors. This becom...

  • Article
  • Open Access
14 Citations
4,136 Views
16 Pages

16 September 2022

A synchronous homopolar motor (SHM) has a salient pole passive rotor, an excitation winding located on the stator, and no permanent magnets, which ensures high reliability and makes this type of motor a good alternative to motors traditionally used i...

  • Article
  • Open Access
3 Citations
1,953 Views
15 Pages

On Two Outer Independent Roman Domination Related Parameters in Torus Graphs

  • Hong Gao,
  • Xing Liu,
  • Yuanyuan Guo and
  • Yuansheng Yang

16 September 2022

In a graph G=(V,E), where every vertex is assigned 0, 1 or 2, f is an assignment such that every vertex assigned 0 has at least one neighbor assigned 2 and all vertices labeled by 0 are independent, then f is called an outer independent Roman dominat...

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Mathematics - ISSN 2227-7390