Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Fotini Kariotou"'
Autor:
George Dassios, Fotini Kariotou
Publikováno v:
Abstract and Applied Analysis, Vol 2004, Iss 4, Pp 307-314 (2004)
Two main results are included in this paper. The first one deals with the leading asymptotic term of the magnetic field outside any conductive medium. In accord with physical reality, it is proved mathematically that the leading approximation is a qu
Externí odkaz:
https://doaj.org/article/24e23077c306450799b84c6f53e48904
Autor:
Fotini Kariotou, D.E. Sinikis
Publikováno v:
Journal of Mathematical Analysis and Applications. 424:1506-1529
In the present work we propose an analytical method for the algebraic calculation of the low frequency expansion of the solution of a scalar scattering problem upon a smooth starshaped scatterer. The method is based on the far field expansion theorem
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::60581bb4a4e24c9b106d99382ffab64e
https://doi.org/10.1016/j.jmaa.2014.12.008
https://doi.org/10.1016/j.jmaa.2014.12.008
Publikováno v:
Quarterly of Applied Mathematics. 70:1-24
Breast cancer is the most frequently diagnosed cancer in women. From mammography, Magnetic Resonance Imaging (MRI), and ultrasonography, it is well documented that breast tumours are often ellipsoidal in shape. The World Health Organisation (WHO) has
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2fc289d3e7d9ce3b760fb417e97981fb
https://doi.org/10.1090/s0033-569x-2011-01240-2
https://doi.org/10.1090/s0033-569x-2011-01240-2
Publikováno v:
The Quarterly Journal of Mechanics and Applied Mathematics. 60:1-25
The magnetic induction field in the exterior of an ellipsoidally inhomogeneous, four-conducting-layer model of the human head is obtained analytically up to its quadrupole approximation. The interior ellipsoidal core represents the homogeneous brain
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::344cf53782019335e8d76e9f84857033
https://doi.org/10.1093/qjmam/hbl022
https://doi.org/10.1093/qjmam/hbl022
Autor:
George Dassios, Fotini Kariotou
Publikováno v:
Quarterly of Applied Mathematics. 63:601-618
The forward problem of Magnetoencephalography for an ellipsoidal inhomogeneous shell-model of the brain is considered. The inhomogeneity enters through a confocal ellipsoidal shell exhibiting different conductivity than the one of the brain tissue. I
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9f185504913e3ea35155d4214ca45e43
https://doi.org/10.1090/s0033-569x-05-00971-2
https://doi.org/10.1090/s0033-569x-05-00971-2
Publikováno v:
Inverse Problems. 21:L1-L5
It has recently been shown by Fokas and coworkers that if the brain is approximated by a homogeneous sphere, magnetoencephalographic measurements determine only the moments of one of the three scalar functions specifying the electrochemically generat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3128c4c3820f51937fd0d464fef56fe2
https://doi.org/10.1088/0266-5611/21/2/l01
https://doi.org/10.1088/0266-5611/21/2/l01
Autor:
George Dassios, Fotini Kariotou
Publikováno v:
Quarterly of Applied Mathematics. 61:387-400
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8c6b1ae0ffba44310b19b719b6f1b023
https://doi.org/10.1090/qam/1976377
https://doi.org/10.1090/qam/1976377
Autor:
Fotini Kariotou, George Dassios
Publikováno v:
Journal of Mathematical Physics. 44:220-241
An exact analytic solution for the forward problem in the theory of biomagnetics of the human brain is known only for the (1D) case of a sphere and the (2D) case of a spheroid, where the excitation field is due to an electric dipole within the corres
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a9c1aa6a95c8944c30f64ca63909c6a3
https://doi.org/10.1063/1.1522135
https://doi.org/10.1063/1.1522135
Autor:
Fotini Kariotou, George Dassios
Publikováno v:
2011 10th International Workshop on Biomedical Engineering.
The Greenspan model is one of the most well defined mathematical approaches to the problem of tumour growth. It is built on principles of Fluid Mechanics and it has been applied to the growth of a spherical tumour. The present report attempts a gener
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6077e40d2c2a38ae82f2054a5d34888f
https://doi.org/10.1109/iwbe.2011.6079052
https://doi.org/10.1109/iwbe.2011.6079052
Publikováno v:
Advanced Topics in Scattering Theory and Biomedical Engineering.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::542d3f32f15a7e33eff0ee3ab802722e
https://doi.org/10.1142/9789814322034_0033
https://doi.org/10.1142/9789814322034_0033