Browsing School of Mathematics, Statistics and Applied Mathematics by Title
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Measuring the linear and nonlinear elastic properties of brain tissue with shear waves and inverse analysis
(Springer, 20150220)We use supersonic shear wave imaging (SSI) technique to measure not only the linear but also the nonlinear elastic properties of brain matter. Here, we tested six porcine brains ex vivo and measured the velocities of the ... 
Mechanical characterization of brain tissue in compression at dynamic strain rates
(Elsevier, 20120302)Traumatic brain injury (TBI) occurs when local mechanical load exceeds certain tolerance levels for brain tissue. Extensive research has been done previously for brain matter experiencing compression at quasistatic loading; ... 
Mechanical characterization of brain tissue in simple shear at dynamic strain rates
(Elsevier, 201312)During severe impact conditions, brain tissue experiences a rapid and complex deformation, which can be seen as a mixture of compression, tension and shear. Diffuse axonal injury (DAI) occurs in animals and humans when ... 
Mechanical characterization of brain tissue in tension at dynamic strain rates
(Elsevier, 20120910)Mechanical characterization of brain tissue at high loading velocities is crucial for modeling Traumatic Brain Injury (TBI). During severe impact conditions, brain tissue experiences compression, tension and shear. Limited ... 
Mechanical properties of excised human skin
(Springer Verlag, 2010)In this study we have investigated in influence of location, gender and orientation on the deformation characteristics of 55 samples of human excised skin. Uniaxial tensile tests were carried out at a strain rate of ... 
Methodical fitting for mathematical models of rubberlike materials
(The Royal Society Publishing, 20170208)A great variety of models can describe the nonlinear response of rubber to uniaxial tension. Yet an indepth understanding of the successive stages of large extension is still lacking. We show that the response can be ... 
Minimal characteristic bisets and finite groups realizing RuizViruel exotic fusion systems
(Elsevier, 2011)Continuing our previous work (Park, 2010) [2], we determine a minimal left characteristic biset X for every exotic fusion system FF on the extraspecial group S of order 73 and exponent 7 discovered by Ruiz and Viruel (2004) ... 
Mining social networks using heat diffusion processes for marketing candidates selection
(ACM, 2008)Social Network Marketing techniques employ preexisting social networks to increase brands or products awareness through wordofmouth promotion. Full understanding of social network marketing and the potential candidates ... 
The mod 2 cohomology rings of SL2 of the imaginary quadratic integers
(Elsevier ScienceDirect, 20150928)We establish general dimension formulae for the second page of the equivariant spectral sequence of the action of the SL2 groups over imaginary quadratic integers on their associated symmetric space. By way of doing this, ... 
Modified multiplicative decomposition model for tissue growth: Beyond the initial stressfree state
(Elsevier, 20180519)The multiplicative decomposition model is widely employed for predicting residual stresses and morphologies of biological tissues due to growth. However, it relies on the assumption that the tissue is initially in a ... 
Monstrous and Generalized Moonshine and Permutation Orbifolds
(2008)We consider the application of permutation orbifold constructions towards a new possible understanding of the genus zero property in Monstrous and Generalized Moonshine. We describe a theory of twisted Hecke operators in ... 
Multiples of Pfister forms
(Elsevier, 20160301)The isotropy of multiples of Pfister forms is studied. Some classical results are recalled and their consequences presented, with certain of these statements being previously known but hitherto unpublished. In particular, ... 
NHDC and PHDC: Nonpropagating and propagating heat diffusion classifiers
(12th International Conference on Neural Information Processing, 2005)Abstract  By imitating the way that heat flows in a medium with a geometric structure, we propose two novel classification algorithms, Nonpropagating Heat Diffusion Classifier (NHDC) and Propagating Heat Diffusion ... 
Noninvasive evaluation of skin tension lines with elastic waves
(Wiley, 20171120)Background: Since their discovery by Karl Langer in the 19th Century, Skin Tension Lines (STLs) have been used by surgeons to decide the location and orientation of an incision. Although these lines are patientspecific, ... 
Nonprincipal surface waves in deformed incompressible materials
(Elsevier, 2005)The Stroh formalism is applied to the analysis of infinitesimal surface wave propagation in a statically, finitely and homogeneously deformed isotropic halfspace. The free surface is assumed to coincide with one of the ... 
Nonlinear correction to the Euler buckling formula for compressed cylinders with guidedguided end conditions
(Springer, 201102)Euler's celebrated buckling formula gives the critical load N for the buckling of a slender cylindrical column with radius B and length L as N/([pi]^3 B^2 )=(E/4)(B/L)^2, where E is Young's modulus. Its derivation relies ... 
Nonlinear Euler buckling
(Royal Society Publishing, 200811)The buckling of hyperelastic incompressible cylindrical tubes of arbitrary length and thickness under compressive axial load is considered within the framework of nonlinear elasticity. Analytical and numerical methods for ... 
Nonlinear transverse waves in deformed dispersive solids
(Elsevier, 2008)We present a phenomenological approach to dispersion in nonlinear elasticity. A simple, thermomechanically sound, constitutive model is proposed to describe the (nondissipative) properties of a hyperelastic dispersive ... 
A note about waves in dissipative and dispersive solids
(World Scientific, 2008)We study shear waves propagating in a special viscoelastic model proposed first by Fosdick and Yu in 1996. We deduce an asymptotic approximation which reduces the full balance equations to a system of evolution equations ... 
A note on element centralizers in finite Coxeter groups
(De Gruyter, 20110829)The normalizer NW(WJ) of a standard parabolic subgroup WJ of a finite Coxeter group W splits over the parabolic subgroup with complement NJ consisting of certain minimal length coset representatives of WJ in W. In ...