The translational oscillations of a cylindrical bubble in a bounded volume of a liquid with free deformable interface

In Ref. 11 clustering representations of the position distribution of the ideal Bose gas were considered. In principle that gives rise to possibilities concerning simulations of the system of positions of the particles. But one has to take into account that in case of low temperature the clusters are very large and their origins are far from a fixed bounded volume. For that reason we will consider some estimations of the influence of these clusters on the behavior of the subsystem of particles located in a fixed bounded volume. All points in the fixed bounded volume come from a bigger volume which the estimation (5.2) in Theorem 5.2 gives on average. Several numerical simulations in dimension two are shown in Sec. 5.

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The Effect of Axial Load in the Tibia on the Response of the 90° Flexed Knee to Blunt Impacts with a Deformable Interface

10.4271/2004-22-0003 ◽

2004 ◽

Cited By ~ 3

Author(s):

Eric G. Meyer ◽

Michael T. Sinnott ◽

Roger C. Haut ◽

Gopal S. Jayaraman ◽

Walter E. Smith

Keyword(s):

Axial Load ◽

Deformable Interface

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Parameters of Quasiattractors in the Estimation of Stationary Regimes of Biological Dynamic Systems According to Compartmentae-Cluster Approach

Journal of New Medical Technologies ◽

10.12737/3327 ◽

2014 ◽

Vol 21 (1) ◽

pp. 134-137 ◽

Cited By ~ 6

Author(s):

Даянова ◽

D. Dayanova ◽

Вохмина ◽

Yu. Vokhmina ◽

Гавриленко ◽

...

Keyword(s):

Human Body ◽

Dynamic Systems ◽

State Vector ◽

Alcoholic Beverage ◽

Human Motion ◽

The State ◽

Damping Coefficient ◽

Cluster Approach ◽

Bounded Volume ◽

The Impact

In the framework of the compartmentae-cluster approach there is possibility of constructing adequate mathematical models that may be of several types supposedly stationary modes of biomechanical systems: in the traditional deterministic approach, when the state vector оf the biomechanical system have equal value and in the framework of the new theory of chaos and self-organization, when system state vector x=x(t)=const. The vector can occur within a bounded volume of the phase space of states. The message signals presented arbitrary human motion under the influence of an alcoholic beverage and the simulated signals for a given external exposure control (Ud=60 у.е.) was compared. Different values of the damping coefficient (b=1,1; b ´= 3,4) present the normal and unnormal state of human body. A comparison was made, the resulting figures and draw conclusions about the impact of damping coefficient on the size of the area of quasi-attractor. Present the state of the biological dynamical system (the human body) under alcohol effect and in normal state.

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FOCAL REGION-BASED VOLUME RENDERING

International Journal of Pattern Recognition and Artificial Intelligence ◽

10.1142/s0218001406004909 ◽

2006 ◽

Vol 20 (05) ◽

pp. 665-677 ◽

Cited By ~ 2

Author(s):

JIANLONG ZHOU ◽

ZHIYAN WANG ◽

KLAUS D. TÖNNIES

Keyword(s):

Volume Rendering ◽

Contextual Information ◽

Focal Region ◽

Ray Casting ◽

Volumetric Data ◽

Data Set ◽

Volume Of Interest ◽

Bounded Volume ◽

Volume Ray Casting ◽

Main Components

In this paper, a new approach named focal region-based volume rendering for visualizing internal structures of volumetric data is presented. This approach presents volumetric information through integrating context information as the structure analysis of the data set with a lens-like focal region rendering to show more detailed information. This feature-based approach contains three main components: (i) A feature extraction model using 3D image processing techniques to explore the structure of objects to provide contextual information; (ii) An efficient ray-bounded volume ray casting rendering to provide the detailed information of the volume of interest in the focal region; (iii) The tools used to manipulate focal regions to make this approach more flexible. The approach provides a powerful framework for producing detailed information from volumetric data. Providing contextual information and focal region renditions at the same time has the advantages of easy to understand and comprehend volume information for the scientist. The interaction techniques provided in this approach make the focal region-based volume rendering more flexible and easy to use.

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