Dynamical Aspects of Corona Virus Infection

2021 ◽  
Author(s):  
Jens Christian Larsen
Keyword(s):  
Mathematical Model ◽  
Virus Infection ◽  
Stable Equilibrium ◽  
Enzyme Inhibitor ◽  
Three Dimensional ◽  
Viral Rna ◽  
Dimensional Model ◽  
Virion Assembly ◽  
N Protein ◽  
Corona Virus

In this paper, we consider five mathematical models of corona virus infection. The first model is a mathematical model of corona virus entry. The second model is a mathematical model for interactions of virus N-protein and viral RNA. Here, we prove that phosphorylated N protein increases the affinity of viral RNA. The third model is a mathematical model of virion assembly. It is a six-dimensional model. But there is an invariant three-dimensional submodel, which we can prove has a positive stable equilibrium. The fourth model is a model of an enzyme inhibitor that blocks viral replication. The fifth model is a model of a virus and a vaccine.

Design of Synchronous Machine Model Based on PRO/E and Dynamic Simulation

2012 ◽  
Vol 246-247 ◽  
pp. 1220-1225
Author(s):  
You Kun Zhong
Keyword(s):  
Mathematical Model ◽  
Dynamic Simulation ◽  
Three Dimensional ◽  
Transmission System ◽  
Synchronous Machine ◽  
Dimensional Model ◽  
Transmission Performance ◽  
Three Dimensional Model ◽  
Machine Model ◽  
Working Principle

With the increasing of the number of cars, people are also getting higher and higher demands on the performance of the car, and especially pay attention to the improvement and optimization of automobile transmission system. The transmission is a key part of automobile transmission system, and transmission performance and stability depend on the synchronous machine, so in order to make the vehicle transmission system with higher efficiency, it is necessary to study the synchronous machine. On the basis of elaborating synchronous machine working principle, the use of dynamics theory to establish mathematical model of synchronous machine system, and to carry out the simulation of synchronous machine three-dimensional model in PRO/E environment, then the use of virtual prototype technology to optimize the parameters of synchronous machine, thereby improving the performance of synchronous machine.

scholarly journals A tool for multi-scale modelling of the renal nephron

2011 ◽  
Vol 1 (3) ◽  
pp. 417-425 ◽  
Author(s):  
David P. Nickerson ◽  
Jonna R. Terkildsen ◽  
Kirk L. Hamilton ◽  
Peter J. Hunter
Keyword(s):  
Mathematical Model ◽  
Spatial Scales ◽  
Three Dimensional ◽  
Scale Model ◽  
Model Description ◽  
Dimensional Model ◽  
Three Dimensional Model ◽  
One Dimensional ◽  
Multi Scale ◽  
The Mathematical Model

We present the development of a tool, which provides users with the ability to visualize and interact with a comprehensive description of a multi-scale model of the renal nephron. A one-dimensional anatomical model of the nephron has been created and is used for visualization and modelling of tubule transport in various nephron anatomical segments. Mathematical models of nephron segments are embedded in the one-dimensional model. At the cellular level, these segment models use models encoded in CellML to describe cellular and subcellular transport kinetics. A web-based presentation environment has been developed that allows the user to visualize and navigate through the multi-scale nephron model, including simulation results, at the different spatial scales encompassed by the model description. The Zinc extension to Firefox is used to provide an interactive three-dimensional view of the tubule model and the native Firefox rendering of scalable vector graphics is used to present schematic diagrams for cellular and subcellular scale models. The model viewer is embedded in a web page that dynamically presents content based on user input. For example, when viewing the whole nephron model, the user might be presented with information on the various embedded segment models as they select them in the three-dimensional model view. Alternatively, the user chooses to focus the model viewer on a cellular model located in a particular nephron segment in order to view the various membrane transport proteins. Selecting a specific protein may then present the user with a description of the mathematical model governing the behaviour of that protein—including the mathematical model itself and various simulation experiments used to validate the model against the literature.

The Research on Three-Dimensional Model of Non-Circular Gear

2012 ◽  
Vol 479-481 ◽  
pp. 953-956
Author(s):  
Guo Xing Sun ◽  
Chuan Qiong Sun ◽  
Qiang Liu
Keyword(s):  
Mathematical Model ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Gear Tooth ◽  
Three Dimensional ◽  
Tooth Profile ◽  
Dimensional Model ◽  
Three Dimensional Model ◽  
Element Analysis ◽  
The Mathematical Model

According to the principles of engagement and the mathematical model of non-circular gear tooth profile, the tooth profile of non-circular gear is draw. Then the three-dimensional model of the non-circular gear is created in Pro/E three-dimensional software to provide the basis for a non-circular gear motion analysis, dynamic analysis and finite element analysis.

Three-Dimensional Model for Virtual Surgical Simulation, during Complex Skull Base Surgery and Aneurysm Surgery

Skull Base ◽  
2008 ◽  
Vol 18 (S 01) ◽  
Author(s):  
Akio Morita ◽  
Toshikazu Kimura ◽  
Shigeo Sora ◽  
Kengo Nishimura ◽  
Hisayuki Sugiyama ◽  
...  
Keyword(s):  
Skull Base ◽  
Surgical Simulation ◽  
Skull Base Surgery ◽  
Three Dimensional ◽  
Aneurysm Surgery ◽  
Dimensional Model ◽  
Three Dimensional Model
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