Complex dynamic behavior in a viral model with delayed immune response

2007 ◽  
Vol 226 (2) ◽  
pp. 197-208 ◽  
Author(s):  
Kaifa Wang ◽  
Wendi Wang ◽  
Haiyan Pang ◽  
Xianning Liu
Keyword(s):  
Immune Response ◽  
Dynamic Behavior ◽  
Complex Dynamic

A self-oscillating gel system with complex dynamic behavior based on a time delay between the oscillations

Soft Matter ◽  
2021 ◽  
Author(s):  
Xiuchen Li ◽  
Jie Li ◽  
Zhaohui Zheng ◽  
Jinni Deng ◽  
Yi Pan ◽  
...  
Keyword(s):  
Time Delay ◽  
Dynamic Behavior ◽  
Experimental Studies ◽  
Complex Dynamic ◽  
Chemical Oscillation ◽  
Mechanical Oscillation ◽  
Behavior Based ◽  
Gel System

The time delay existing between the chemical oscillation and mechanical oscillation (C-M delay) in a self-oscillating gel (SOG) system is observable in previous experimental studies. However, how the C-M delay...

NMR Studies of Ru3(CO)10(PMe2Ph)2and Ru3(CO)10(PPh3)2and Their H2Addition Products:  Detection of New Isomers with Complex Dynamic Behavior

2001 ◽  
Vol 123 (40) ◽  
pp. 9760-9768 ◽  
Author(s):  
Damir Blazina ◽  
Simon B. Duckett ◽  
Paul J. Dyson ◽  
Brian F. G. Johnson ◽  
Joost A. B. Lohman ◽  
...  
Keyword(s):  
Dynamic Behavior ◽  
Complex Dynamic ◽  
Nmr Studies

Dynamic behavior of impurities and native components in model LSM microelectrodes on YSZ

RSC Advances ◽  
2015 ◽  
Vol 5 (106) ◽  
pp. 87679-87693 ◽  
Author(s):  
Kion Norrman ◽  
Karin Vels Hansen ◽  
Torben Jacobsen
Keyword(s):  
Energy Conversion ◽  
Dynamic Behavior ◽  
Elevated Temperatures ◽  
Complex Dynamic ◽  
Conversion Materials

Energy conversion materials exhibit complex dynamic behavior when subjected to elevated temperatures and polarization.

Complex dynamic behavior in adhesive tape peeling

1997 ◽  
Vol 11 (1) ◽  
pp. 11-28 ◽  
Author(s):  
M.C. Gandur ◽  
M.U. Kleinke ◽  
F. Galembeck
Keyword(s):  
Dynamic Behavior ◽  
Adhesive Tape ◽  
Complex Dynamic

scholarly journals The Role of the Immune Response in Chronic Marginal and Apical Periodontitis

Folia Medica ◽  
2020 ◽  
Vol 62 (2) ◽  
pp. 238-243
Author(s):  
Teodora Karteva ◽  
Neshka Manchorova-Veleva
Keyword(s):  
Immune Response ◽  
Treatment Strategies ◽  
Apical Periodontitis ◽  
Scientific Models ◽  
Comprehensive Understanding ◽  
Host Reaction ◽  
Complex Dynamic ◽  
The Impact ◽  
Marginal Periodontitis

The immune response is a complex, dynamic and strongly individual biologic network that plays an essential role in the pathogenesis of chronic apical and marginal periodontitis. Recent research in the field of periodontology has indicated that the major determinant of susceptibility to disease is the nature of the immunoinflammatory response as marginal periodontal tissue damage is thought to be primarily mediated by the host reaction. Whether the same rules apply for the development of apical periodontitis, however, remains largely unexplored. This review aims to draw parallels between the pathogenesis of chronic periodontitis of endodontic and marginal origin, outline the evidence for the destructive role of immune response in chronic marginal periodontitis and raise questions about its role in chronic apical periodontitis. It would be worthy to further explore the impact of the immune system on the characteristics and progress of these diseases and transfer some of the scientific models from the field of periodontology to the field of endodontics. Research in this area could lead to a more comprehensive understanding of the dynamics of apical and marginal periodontitis and lay the foundation of new personalized treatment strategies. 

Variational Principles for Non-Material Systems Within an Arbitrary Lagrangian Eulerian Description of Motion

2020 ◽  
Author(s):  
Giuseppe Pennisi ◽  
Olivier Bauchau
Keyword(s):  
Finite Element ◽  
Dynamic Behavior ◽  
Variational Principles ◽  
Material System ◽  
Arbitrary Lagrangian Eulerian ◽  
Complex Dynamic ◽  
Eulerian Description ◽  
Material Systems ◽  
Axially Moving ◽  
Dynamic Description

Abstract Dynamics of axially moving continua, such as beams, cables and strings, can be modeled by use of an Arbitrary La-grangian Eulerian (ALE) approach. Within a Finite Element framework, an ALE element is indeed a non-material system, i.e. a mass flow occurs at its boundaries. This article presents the dynamic description of such systems and highlights the peculiarities that arise when applying standard mechanical principles to non-material systems. Starting from D’Alembert’s principle, Hamilton’s principle and Lagrange’s equations for a non-material system are derived and the significance of the additional transport terms discussed. Subsequently, the numerical example of a length-changing beam is illustrated. Energetic considerations show the complex dynamic behavior non-material systems might exhibit.

Rattlebacks for Undergraduate Engineers: Modelling Complex Behavior Using Introductory Dynamics and Numerical Methods

2018 ◽  
Author(s):  
Simon Jones ◽  
Kirby Kern
Keyword(s):  
Numerical Methods ◽  
Differential Equations ◽  
Dynamic Behavior ◽  
Reference Frame ◽  
Engineering Students ◽  
Rotary Motion ◽  
Complex Dynamic ◽  
Time Stepping ◽  
Undergraduate Engineering ◽  
Clockwise Direction

Rattlebacks are semi-ellipsoidal tops that have a preferred direction of spin. If spun in, say, the clockwise direction, the rattleback will exhibit stable rotary motion. If spun in the counter-clockwise direction, the rattleback’s rotary motion will transition to a rattling motion, and then reverse its spin resulting in clockwise rotation. This counter-intuitive dynamic behavior has long been a favored subject of study in graduate-level dynamics classes. Previous literature on rattleback dynamics offer insight into a myriad of advanced topics, including three-dimensional motion, sliding and rolling friction models, stability regions, nondimensionalization, etc. However, it is the current authors’ view that focusing on these advanced topics clouds the students’ understanding of the fundamental kinetics of the body. The goal of this paper is to demonstrate that accurately simulating rattleback behavior need not be complicated; undergraduate engineering students can accurately model the behavior using concepts from introductory dynamics and numerical methods. The current paper develops an accurate dynamic model of a rattleback from first principles. All necessary steps are discussed in detail, including computing the mass moment of inertia, choice of reference frame, conservation of momenta equations, and application of kinematic constraints. Basic numerical techniques like Gaussian quadrature, Newton-Raphson root-finding, and Runge-Kutta time-stepping are employed to solve the necessary integrals, nonlinear algebraic equations, and ordinary differential equations. Since not all undergraduate engineering students are familiar with 3D dynamics, a simpler 2D rocking semi-ellipse example is first introduced to develop the transformation matrix between an inertial reference frame and a body-fixed reference frame. This provides the framework to transition seamlessly into 3D dynamics using roll, pitch, and yaw angles, concepts that are widely understood by engineering students. In fact, when written in vector notation, the governing equations for the rocking ellipse and the spin-biased rattleback are shown to be the same, enforcing the concept that 3D dynamics need not be intimidating. The purpose of this paper is to guide a typical undergraduate engineering student through a complex dynamic simulation, and to demonstrate that he or she already has the tools necessary to simulate complex dynamic behavior. Conservation of momenta will account for the dynamics, intimidating integrals and differentials can be tackled numerically, and classic time-stepping approaches make light work of nonlinear differential equations.

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