Computational Models on Graphs for the Nonlinear Hyperbolic System of Equations

2004 ◽  
Author(s):  
Alexander S. Kholodov ◽  
Yaroslav A. Kholodov
Keyword(s):  
Hyperbolic System ◽  
Human Body ◽  
Partial Derivative ◽  
Computational Models ◽  
Heavy Traffic ◽  
Large River ◽  
System Of Equations ◽  
Information Flows ◽  
Flood Water ◽  
Nonlinear Hyperbolic System

The problems in the form of nonlinear partial derivative equations on graphs (nets, trees) arise in different applications. As the examples of such models we can name the circulatory and respiratory systems of the human body, the model of heavy traffic in the big cities, the model of flood water and pollution propagation in the large river systems, the model of bar structures and frames behavior under the different impacts, the model of the intensive information flows in the computer networks and others.

Modeling and Reconstruction of Multi-Fidelity Traumatic Head Injury due to Blunt Impact

2017 ◽  
Author(s):  
X. Gary Tan ◽  
Amit Bagchi
Keyword(s):  
Brain Injury ◽  
Human Body ◽  
Computational Models ◽  
Head Model ◽  
High Fidelity ◽  
Human Body Model ◽  
Body Model ◽  
Blunt Impact ◽  
Real Scenario ◽  
The Brain

Traumatic brain injury (TBI) is one of the most common injuries to service members in recent conflicts. Computational models can offer insights in understanding the underlying mechanism of brain injury, which lead to the crucial development of effective personal protective equipment designed to prevent or mitigate the TBI. Historically many computational models were developed for the brain injury study. However, these models use relatively coarse mesh with a less detailed head anatomy. Many models consider the head only and thus cannot properly model the real scenario, i.e., accidental fall, blunt impact or blast loading. A whole-body finite element model can represent the real scenario but is very expensive to use. By combining the high-fidelity human head model with an articulated human body model, we developed the computational multi-fidelity human models to investigate the blunt- and blast-related TBI efficiently. A high-fidelity computational head model was generated from the high resolution image data to accurately reproduce the complex musculoskeletal and tissue structure of the head. The fast-running articulated human body model is based on the multi-body dynamics and was used to reconstruct the accidental falls. By utilizing the kinematics and force and moment at the joint of the articulated human body model, we can realistically simulate the blunt impact and assess the brain injury using the high-fidelity head model.

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