Mathematical framework for current density imaging due to discharge of electro-muscular disruption devices

Jeehyun Lee; Jin Keun Seo; Eung Je Woo

ESAIM: Mathematical Modelling and Numerical Analysis (2007)

  • Volume: 41, Issue: 3, page 447-459
  • ISSN: 0764-583X

Abstract

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Electro-muscular disruption (EMD) devices such as TASER M26 and X26 have been used as a less-than-lethal weapon. Such EMD devices shoot a pair of darts toward an intended target to generate an incapacitating electrical shock. In the use of the EMD device, there have been controversial questions about its safety and effectiveness. To address these questions, we need to investigate the distribution of the current density J inside the target produced by the EMD device. One approach is to develop a computational model providing a quantitative and reliable analysis about the distribution of J. In this paper, we set up a mathematical model of a typical EMD shock, bearing in mind that we are aiming to compute the current density distribution inside the human body with a pair of inserted darts. The safety issue of TASER is directly related to the magnitude of |J| at the region of the darts where the current density J is highly concentrated. Hence, fine computation of J near the dart is essential. For such numerical simulations, serious computational difficulties are encountered in dealing with the darts having two different very sharp corners, tip of needle and tip of barb. The boundary of a small fishhook-shaped dart inside a large computational domain and the presence of corner singularities require a very fine mesh leading to a formidable amount of numerical computations. To circumvent these difficulties, we developed a multiple point source method of computing J. It has a potential to provide effective analysis and more accurate estimate of J near fishhook-shaped darts. Numerical experiments show that the MPSM is just fit for the study of EMD shocks.

How to cite

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Lee, Jeehyun, Seo, Jin Keun, and Woo, Eung Je. "Mathematical framework for current density imaging due to discharge of electro-muscular disruption devices." ESAIM: Mathematical Modelling and Numerical Analysis 41.3 (2007): 447-459. <http://eudml.org/doc/250066>.

@article{Lee2007,
abstract = { Electro-muscular disruption (EMD) devices such as TASER M26 and X26 have been used as a less-than-lethal weapon. Such EMD devices shoot a pair of darts toward an intended target to generate an incapacitating electrical shock. In the use of the EMD device, there have been controversial questions about its safety and effectiveness. To address these questions, we need to investigate the distribution of the current density J inside the target produced by the EMD device. One approach is to develop a computational model providing a quantitative and reliable analysis about the distribution of J. In this paper, we set up a mathematical model of a typical EMD shock, bearing in mind that we are aiming to compute the current density distribution inside the human body with a pair of inserted darts. The safety issue of TASER is directly related to the magnitude of |J| at the region of the darts where the current density J is highly concentrated. Hence, fine computation of J near the dart is essential. For such numerical simulations, serious computational difficulties are encountered in dealing with the darts having two different very sharp corners, tip of needle and tip of barb. The boundary of a small fishhook-shaped dart inside a large computational domain and the presence of corner singularities require a very fine mesh leading to a formidable amount of numerical computations. To circumvent these difficulties, we developed a multiple point source method of computing J. It has a potential to provide effective analysis and more accurate estimate of J near fishhook-shaped darts. Numerical experiments show that the MPSM is just fit for the study of EMD shocks. },
author = {Lee, Jeehyun, Seo, Jin Keun, Woo, Eung Je},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Electro-muscular disruption (EMD) device; electrical current density; Maxwell equations; non-smooth boundary; elliptic partial differential equations; corner singularity.},
language = {eng},
month = {8},
number = {3},
pages = {447-459},
publisher = {EDP Sciences},
title = {Mathematical framework for current density imaging due to discharge of electro-muscular disruption devices},
url = {http://eudml.org/doc/250066},
volume = {41},
year = {2007},
}

TY - JOUR
AU - Lee, Jeehyun
AU - Seo, Jin Keun
AU - Woo, Eung Je
TI - Mathematical framework for current density imaging due to discharge of electro-muscular disruption devices
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2007/8//
PB - EDP Sciences
VL - 41
IS - 3
SP - 447
EP - 459
AB - Electro-muscular disruption (EMD) devices such as TASER M26 and X26 have been used as a less-than-lethal weapon. Such EMD devices shoot a pair of darts toward an intended target to generate an incapacitating electrical shock. In the use of the EMD device, there have been controversial questions about its safety and effectiveness. To address these questions, we need to investigate the distribution of the current density J inside the target produced by the EMD device. One approach is to develop a computational model providing a quantitative and reliable analysis about the distribution of J. In this paper, we set up a mathematical model of a typical EMD shock, bearing in mind that we are aiming to compute the current density distribution inside the human body with a pair of inserted darts. The safety issue of TASER is directly related to the magnitude of |J| at the region of the darts where the current density J is highly concentrated. Hence, fine computation of J near the dart is essential. For such numerical simulations, serious computational difficulties are encountered in dealing with the darts having two different very sharp corners, tip of needle and tip of barb. The boundary of a small fishhook-shaped dart inside a large computational domain and the presence of corner singularities require a very fine mesh leading to a formidable amount of numerical computations. To circumvent these difficulties, we developed a multiple point source method of computing J. It has a potential to provide effective analysis and more accurate estimate of J near fishhook-shaped darts. Numerical experiments show that the MPSM is just fit for the study of EMD shocks.
LA - eng
KW - Electro-muscular disruption (EMD) device; electrical current density; Maxwell equations; non-smooth boundary; elliptic partial differential equations; corner singularity.
UR - http://eudml.org/doc/250066
ER -

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