Christopher Purcell

ORCID: 0000-0001-9869-1097
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About
Contact & Profiles
Research Areas
  • Advanced Graph Theory Research
  • Limits and Structures in Graph Theory
  • Complexity and Algorithms in Graphs
  • Graph Labeling and Dimension Problems
  • Advanced MRI Techniques and Applications
  • Optimization and Search Problems
  • Superconducting Materials and Applications
  • Functional Brain Connectivity Studies
  • Electromagnetic Scattering and Analysis
  • Geophysical and Geoelectrical Methods
  • Graph theory and applications
  • EEG and Brain-Computer Interfaces
  • Underwater Acoustics Research
  • LGBTQ Health, Identity, and Policy
  • graph theory and CDMA systems
  • Atomic and Subatomic Physics Research
  • Auction Theory and Applications
  • Non-Destructive Testing Techniques
  • Magnetic Field Sensors Techniques
  • Constraint Satisfaction and Optimization
  • Acoustic Wave Phenomena Research
  • Scientific Research and Discoveries
  • Physics of Superconductivity and Magnetism
  • Cardiac Arrhythmias and Treatments
  • Neural dynamics and brain function

University of South Florida
2023

University of West Bohemia
2018-2022

University of Wisconsin–Madison
2020

Vanderbilt University
2017-2020

Lesbian, Gay, Bisexual and Transgender Community Center
2020

Aalto University
2017

University of California, Los Angeles
2014-2015

Defence Research and Development Canada
2006-2014

University of Warwick
2012-2013

University of Vermont
2010

Abstract It is believed that the magnetoencephalogram (MEG) localizes an electrical source in brain to within several millimeters and therefore more accurate than electroencephalogram (EEG) localization, reported as 20 mm. To test this belief, localization accuracy of MEG EEG were directly compared. The signal was a dipole at known location brain; made by passing weak current pulse simulating neural through depth electrodes already implanted patients for seizure monitoring. First, MEGs EEGs...

10.1002/ana.410280613 article EN Annals of Neurology 1990-12-01

The optimal dimensions of thin coil systems three and four square coils for producing uniform magnetic fields are calculated. We find that coils, side d separation s between the outer most field distribution occurs with s/d=0.821 116 I′/I=0.512 797. I′/I is ratio currents in center to coils. With best uniformity obtained when a/d=0.128 106 b/d=0.505 492, where a distance from inner b current pair must be I′/I=0.423 514. compare produced by these each other Rubens’ five-coil system, both on...

10.1063/1.1137480 article EN Review of Scientific Instruments 1983-07-01

The accuracy with which electrical sources in the brain can be localized by using electroencephalograms measured on scalp is not well known. In this study, tests of localization were performed implanted dipolar human brain. These dipoles are created passing a weak (subthreshold) current through intracerebral electrodes brains epileptic patients for seizure monitoring. locations these accurately known from roentgenographs. First, 16 produced recorded, then inverse solutions calculated...

10.1002/ana.410290204 article EN Annals of Neurology 1991-02-01

We describe a fast and numerically effective biomagnetic inverse solution using moving dipole in realistic homogeneous torso. applied the localization model high-resolution magnetocardiographic mapping to localize noninvasively ventricular preexcitation site ten patients suffering from Wolff-Parkinson-White syndrome. In all cases, computed results were compared obtained by invasive catheter technique. Using standard-size torso average 3-D distance between noninvasive locations invasively was...

10.1109/10.83565 article EN IEEE Transactions on Biomedical Engineering 1991-07-01

LCLs or locally checkable labelling problems (e.g. maximal independent set, matching, and vertex colouring) in the LOCAL model of computation are very well-understood cycles (toroidal 1-dimensional grids): every problem has a complexity O(1), Θ(log* n), Θ(n), design optimal algorithms can be fully automated. This work develops theory LCL for toroidal 2-dimensional grids. The classes same as case: Θ(n). However, given an it is undecidable whether its n) Θ(n)

10.1145/3087801.3087833 article EN 2017-07-20

10.1038/scientificamerican032025-3uefyznfbzjwl0hhowl0xm article EN Scientific American 2025-03-01

A numerical model of a human torso was used to study and compare the effect outer torso, lung, intracavitary blood mass boundaries on body surface distribution electric potential normal component magnetic field due single current dipole placed at various locations in heart. Results are presented form isopotential isofield maps also compared semi-infinite homogenous context inverse solutions. The inclusion has large magnitudes modest effects their topology. show similar responses for X...

10.1109/10.7268 article EN IEEE Transactions on Biomedical Engineering 1988-01-01

A noniterative numerical solution for the potentials on surfaces of a piecewise homogeneous volume conductor due to current dipole is described. This forward has been used in electric and magnetic single moving (SMD) inverse solutions that use torso model whose boundaries are specified numerically. Thus, by need not be limited simple geometric shapes; models realistic shape can used.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

10.1109/10.68213 article EN IEEE Transactions on Biomedical Engineering 1991-01-01

A description is given of the results a Key Comparison primary free-field standards for underwater acoustics at frequencies from 1 to 500kHz. This first such exercise in field acoustic calibration and measurement. Laboratories UK, Germany, USA, Russia, China, Canada, South Africa participated by calibrating three reference hydrophones, with project coordination provided National Physical Laboratory, UK. The agreement between obtained comparison was generally encouraging, values reported...

10.1121/1.2228790 article EN The Journal of the Acoustical Society of America 2006-09-01

10.1016/j.jda.2013.11.002 article EN publisher-specific-oa Journal of Discrete Algorithms 2013-11-12

Measurements of low-frequency magnetic fields produced by horizontal and vertical electric current dipoles in shallow seawater are compared to Weaver model estimates. A periodic chirp covering the band 20 500 Hz was transmitted enable coherent detection. Transmission losses were measured over ranges exceeding 700 m between source antennas an underwater tri-axial magnetometer. The field amplitudes good agreement with model.

10.1109/tap.2014.2355295 article EN IEEE Transactions on Antennas and Propagation 2014-09-10

10.1016/j.jda.2015.08.001 article EN publisher-specific-oa Journal of Discrete Algorithms 2015-08-10

Any finite simple graph $G = (V,E)$ can be represented by a collection $\mathscr{C}$ of subsets $V$ such that $uv\in E$ if and only $u$ $v$ appear together in an odd number sets $\mathscr{C}$. Let $c_2(G)$ denote the minimum cardinality collection. This invariant is equivalent to dimension faithful orthogonal representation $G$ over $\mathbb{F}_2$ closely connected rank $G$. We show $c_2 (G) \operatorname{mr}(G,\mathbb{F}_2)$ when $\operatorname{mr}(G,\mathbb{F}_2)$ odd, or forest....

10.37236/10383 article EN cc-by The Electronic Journal of Combinatorics 2022-02-24

The objective of this study was to examine how different ways describing a hypothetical tobacco-free campus policy would impact college students' perceived level support from the college. In spring 2016, we randomized 1885 undergraduate students in required course three message conditions an online survey: control (no message), wellness (emphasizing promoting health and quitting support), punitive consequences for violating policy). dependent variable organizational support. We selected...

10.3390/ijerph14080938 article EN International Journal of Environmental Research and Public Health 2017-08-20

Surface harmonic expansions are used to represent boundaries between regions of different conductivity in the human head. This facilitates calculation electric potential and magnetic field generated by neural current sources using discretized integral equations.

10.1109/10.133214 article EN IEEE Transactions on Biomedical Engineering 1991-03-01

Using a computer model of realistically shaped human torso with lungs and intraventricular blood masses, we have assessed how geometry composition affect the extracorporal magnetic field produced by current dipole in centre ventricular mass. The induction vector B arising from has been calculated at points precordial measuring grid influence boundaries qualitatively, comparing contour maps component normal to torso's frontal plane. We found that reflected relatively faithfully underlying...

10.1088/0031-9155/32/1/018 article EN Physics in Medicine and Biology 1987-01-01

10.1016/j.ipl.2013.01.022 article EN Information Processing Letters 2013-02-11

A magnetic inverse solution that uses a single current dipole in homogeneous volume conductor with realistic torso shape was tested numerically to establish the effect of noise, number measurement points, and size on localization accuracy. Seven different sites cardiological interest were selected as locations for source dipole. It found any single-component solutions, signal-to-noise ratio 100, 25 measuring points are sufficient good accuracy; just 12 needed if all three components used...

10.1109/10.256425 article EN IEEE Transactions on Biomedical Engineering 1992-01-01

A terrella developed for the undergraduate Advanced Laboratory course in University of Wisconsin-Madison Physics Department is described. Our consists a permanent magnet, mounted on pedestal vacuum chamber, surrounded by electrodes that may be biased various ways. The system can confine plasma, which may, some ways, considered as toy model plasma confined Earth's magnetosphere. axisymmetric forms region where magnitude magnetic field B 14 G ≤B≤ 550 G; typical operation, neutral gas pressure...

10.1119/10.0001318 article EN American Journal of Physics 2020-07-21

10.1007/s10878-012-9577-5 article EN Journal of Combinatorial Optimization 2012-12-04

10.1016/j.tcs.2021.05.010 article EN Theoretical Computer Science 2021-05-12
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