scholarly journals Stability Analysis of Mathematical Modeling of Interaction between Target Cells and COVID-19 Infected Cells

2021 ◽  
Vol 10 (2) ◽  
pp. 123-127
Author(s):  
Sugiyanto Sugiyanto ◽  
Mansoor Abdul Hamid ◽  
Alya Adianta ◽  
Hanny Puspha Jayanti ◽  
Muhammad Ja'far Luthfi
Keyword(s):  
Mathematical Model ◽  
Stability Analysis ◽  
Target Cells ◽  
Effective Surface ◽  
Cycle Number ◽  
Virus Particles ◽  
Opposite Sequence ◽  
Infected Cells ◽  
The Stability ◽  
The One

The stability analysis in this mathematical model was related to the infection of the Coronavirus Disease 2019 (Covid-19). In this mathematical model there were two balance points, namely the point of balance free from Covid-19 and the one infected with Covid-19. The stability of the equilibrium point was influenced by all parameters, i.e. target cells die during each cycle, number of target cells at  = 0, target cells infected during each cycle based on virion unit density, effective surface area of the network, the ratio of the number of virus particles to the number of virions, infected cells die during each cycle, the number of virus particles produced by each infected cell during each cycle, and virus particles die during each cycle. In the simulation model, immunity is divided into high, medium and low immunity. For high, moderate and low immunity, respectively, the highest number of target cells is in high, medium and low immunity, whereas for the number of infected cells and the number of Covid-19, it is in the opposite sequence of the number of target cells.

Walking Stability Analysis of Multi-Legged Crablike Robot over Slope

2013 ◽  
Vol 572 ◽  
pp. 636-639
Author(s):  
Xi Chen ◽  
Gang Wang
Keyword(s):  
Mathematical Model ◽  
Stability Analysis ◽  
Stability Criterion ◽  
Stability Margin ◽  
Static Stability ◽  
Matlab Simulation ◽  
And Performance ◽  
The Stability ◽  
The Mathematical Model ◽  
The Relationship

This paper deals with the walking stability analysis of a multi-legged crablike robot over slope using normalized energy stability margin (NESM) method in order to develop a common stabilization description method and achieve robust locomotion for the robot over rough terrains. The robot is simplified with its static stability being described by NESM. The mathematical model of static stability margin is built so as to carry out the simulation of walking stability over slope for the crablike robot that walks in double tetrapod gait. As a consequence, the relationship between stability margin and the height of the robots centroid, as well as its inclination relative to the ground is calculated by the stability criterion. The success and performance of the stability criterion proposed is verified through MATLAB simulation and real-world experiments using multi-legged crablike robot.

Modeling and Stability Analysis of Hydraulic System for Wave Simulation

2013 ◽  
Vol 291-294 ◽  
pp. 1934-1939
Author(s):  
Jian Jun Peng ◽  
Yan Jun Liu ◽  
Yu Li ◽  
Ji Bin Liu
Keyword(s):  
Mathematical Model ◽  
Stability Analysis ◽  
Mathematical Models ◽  
Hydraulic System ◽  
Simulation System ◽  
Displacement Sensor ◽  
Schematic Diagram ◽  
Wave Simulation ◽  
The Stability ◽  
The Mathematical Model

This thesis put forward a hydraulic wave simulation system based on valve-controlled cylinder hydraulic system, which simulated wave movement on the land. The mathematical model of valve-controlled symmetric cylinder was deduced and the mathematical models of servo valve, displacement sensor and servo amplifier were established according to the schematic diagram of the hydraulic system designed, on the basis of which the mathematical model of hydraulic wave simulation system was obtained. Then the stability of the system was analyzed. The results indicated that the system was reliable.

Stability and Construction of Caverns for The Disposal Of Cemented Low-And Medium-Level Wastes

1981 ◽  
Vol 11 ◽  
Author(s):  
W. Raab ◽  
C. Frohn ◽  
M.W. Schmidt
Keyword(s):  
Stability Analysis ◽  
Vertical Axis ◽  
Short Term ◽  
Advantages And Disadvantages ◽  
Medium Level ◽  
Practical Engineering ◽  
The Stability ◽  
The One ◽  
Salt Caverns

ABSTRACTThe geomechanical and mining-technological aspects of the construction of salt caverns as disposal chambers have been investigated during project phase 2, completed by mid 1981. With a view towards the stability analysis of such a cavern, FEM-estimates have been carried out and evaluated. From these it can be derived that- a rotational ellipsoid would be the most suitable shape- its dimensions should be 82 m (vertical axis) and 42 m (horizontal axis)- the distance (safety pillar) between the neighbouring caverns should be 170 m (vertical) and 180 m (horizontal).For practical engineering purposes the rotational ellipsoid can be modified into a cylinder with conic bottom and top. The numerical model simulated the short term as well as the long term characteristics of the surrounding salt rocks. The short term characteristics were assessed by an elastic approach, the long term characteristics by a rheological model. The input parameters have been determined by means of laboratory tests on ASSE rock salt.In a second step the characteristics of partially and completely filled caverns were simulated. It was shown clearly that deformation of the salt rock comes to a halt when counteracted by the filling.Based upon the results of the stability analysis, investigations were made to find out a suitable mining technique for the construction of the cavern. Solution mining and conventional development by means of drilling and blasting have been studied alternatively. Since both methods have their advantages and disadvantages a decision in favour of the one or the other cannot be made until the actual site has been defined.

scholarly journals A Mathematical Model of the Transition from the Normal Hematopoiesis to the Chronic and Accelerated Acute Stages in Myeloid Leukemia

2020 ◽  
Author(s):  
Lorand Gabriel Parajdi ◽  
Radu Precup ◽  
Eduard Alexandru Bonci ◽  
Ciprian Tomuleasa
Keyword(s):  
Mathematical Model ◽  
Stem Cells ◽  
Bone Marrow ◽  
Stability Analysis ◽  
Myeloid Leukemia ◽  
Transition Process ◽  
Two Dimensional ◽  
The Stability ◽  
Theoretical Results

A mathematical model given by a two - dimensional differential system is introduced in order to understand the transition process from the normal hematopoiesis to the chronic and accelerated acute stages in chronic myeloid leukemia. A previous model of Dingli and Michor is refined by introducing a new parameter in order to differentiate the bone marrow microenvironment sensitivities of normal and mutant stem cells. In the light of the new parameter, the system now has three distinct equilibria corresponding to the normal hematopoietic state, to the chronic state, and to the accelerated acute phase of the disease. A characterization of the three hematopoietic states is obtained based on the stability analysis. Numerical simulations are included to illustrate the theoretical results.

scholarly journals Instability of Liquid-Film Flows With Temperature-Dependent properties Down A Heated Incline

2021 ◽  
Author(s):  
Syeda Rubaida Zafar
Keyword(s):  
Mathematical Model ◽  
Free Surface ◽  
Stability Analysis ◽  
Marangoni Effect ◽  
Free Surface Flow ◽  
Surface Flow ◽  
Temperature Dependent ◽  
The Stability ◽  
Temperature Dependent Properties ◽  
Film Flows

In this thesis we investigate the stability of free-surface flow on a heated incline. We develop a complete mathematical model for the flow which captures the Marangoni effect and also accounts for changes in the properties of the fluid with temperature. We apply a linear stability analysis to determine the stability of the steady and uniform flow. The associated eigenvalue problem is solved numerically by means of a spectral colocation method.

CONVENTIONAL MODELLING APPROACH TO PREDICT THE DYNAMICS OF COVID-19

2021 ◽  
Vol 5 (2) ◽  
pp. 470-476
Author(s):  
S Bashir ◽  
I. Z. Shehu ◽  
N. Chinenye
Keyword(s):  
Mathematical Model ◽  
Stability Analysis ◽  
Basic Reproduction Number ◽  
Reproduction Number ◽  
Transmission Dynamics ◽  
The Stability ◽  
Modelling Approach

The study examined transmission dynamics of COVID-19 with conventional modelling approach. We developed a mathematical model for COVID-19 pandemic as SEQIR where I, the infected compartment is partitioned in to  and for reported and unreported group of infected individuals. Basic reproduction number has been obtained and the stability analysis was carried out. The results revealed that the disease may die out in time

Palmitoylation of influenza virus proteins

2013 ◽  
Vol 41 (1) ◽  
pp. 50-55 ◽  
Author(s):  
Michael Veit ◽  
Marina V. Serebryakova ◽  
Larisa V. Kordyukova
Keyword(s):  
Influenza Viruses ◽  
Spike Protein ◽  
Proton Channel ◽  
Membrane Rafts ◽  
Target Cells ◽  
Virus Particles ◽  
Functional Consequences ◽  
Infected Cells ◽  
Fatty Acid Species ◽  
Acylated Proteins

Influenza viruses contain two palmitoylated (S-acylated) proteins: the major spike protein HA (haemagglutinin) and the proton-channel M2. The present review describes the fundamental biochemistry of palmitoylation of HA: the location of palmitoylation sites and the fatty acid species bound to HA. Finally, the functional consequences of palmitoylation of HA and M2 are discussed regarding association with membrane rafts, entry of viruses into target cells by HA-mediated membrane fusion as well as the release of newly assembled virus particles from infected cells.

scholarly journals Stability Analysis of a Mathematical Model of Hepatitis B Virus with Unbounded Memory Control on the Immune System in the Neighborhood of the Equilibrium Free Point

Symmetry ◽  
2021 ◽  
Vol 13 (8) ◽  
pp. 1437
Author(s):  
Irina Volinsky
Keyword(s):  
Mathematical Model ◽  
Immune System ◽  
Stability Analysis ◽  
Hepatitis B Virus ◽  
Symmetry Property ◽  
Distributed Feedback ◽  
Cauchy Matrix ◽  
B Virus ◽  
Memory Control ◽  
The Stability

In the current paper, I research the influence of IL-2 therapy and I introduce the regulation by distributed feedback control with unbounded memory. The results of the stability analysis are presented. The proposed methodology in the article uses the properties of Cauchy matrix C(t,s), especially symmetry property, in order to study the behavior (stability) of the corresponding system of integro-differential equations.

scholarly journals On Stability of Pin-Jointed Beam Affected by Random Pulsating Load

2017 ◽  
Vol 71 (1-2) ◽  
pp. 63-68
Author(s):  
Jevgeòijs Carkovs ◽  
Andrejs Matvejevs
Keyword(s):  
Mathematical Model ◽  
Stability Analysis ◽  
Lyapunov Method ◽  
Longitudinal Force ◽  
Stability Conditions ◽  
The Stability

Abstract This paper deals with stability analysis of pin-jointed beams that are affected to random pulsating load. The stability conditions of a pin-jointed beam are analysed using a mathematical model of the beam characterised by longitudinal force with Poisson characteristics and applying the stochastic modification of the second Lyapunov method.

scholarly journals The stability analysis and control transmission of mathematical model for Ebola Virus

2019 ◽  
Vol 3 (2) ◽  
pp. 91-102 ◽  
Author(s):  
Muhammad Tahir ◽  
◽  
Gul Zaman ◽  
Syed Inayat Ali Shah ◽  
Sher Muhammad ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Stability Analysis ◽  
Ebola Virus ◽  
The Stability ◽  
And Control
Sign in / Sign up

Export Citation Format

Share Document