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Bibliografia
[1]. Klee M., Plonsey R. “Stimulation of spheroidal cells – the role of cell shape”. IEEE Trans. Biomed. Eng. 23:347-354, 1976.
[2]. EN580.635 “Bioelectromagnetic phenomena” . The Johns Hopkins University. 2000
[3]. Foster K.R., Schwan H.P. “Dielectric properties of tissue and biological materials: a critical review”. Crit.Rev.Biomed.Eng. vol.17, n.1, pp. 25-103, 1989.
[4]. Cole K.S., Cole R.H. “Dispersion and absorption in dielectrics. I. Alternating current characteristics”, J. Appl. Phys., 62 R51, 1987.
[5]. Cole K.S., Cole R.H. “Dispersion and absorption in dielectrics. II. Direct current characteristics”, J. Chem. Phys., 9, 341, 1987.
[6]. Cole K.S. “Membranes, ions and impulses.”, University of California Press, Berkeley and Los Angeles, 1968.
[7]. Maxwell, Treatise on electricity and magnetism, Oxford University Press, London, 1873.
[8]. Wagner K.W., Arch Elektrotech, Berlin, 2, 271, 1914.
[9]. Fricke H. “A mathematical treatment of the electric conductivity and capacity of disperse system. I. The Electric conductivity of a suspension of homogeneous spheroids”, Phys. Rev., 24, 575, 1924.
[10]. Fricke H. “A mathematical treatment of the electric conductivity and capacity of disperse system. II. The capacity of suspension of conducting spheroids surrounded by a non-conducting for a current of low frequency”, Phys. Rev., 26, 678, 1925.
[11]. Hanay T. “Theory of the dielectric dispersion due to the interfacial polarization and its application to emulsion”, Kolloid-Z, 171, 23-31, 1960. [12]. Fricke H. “The complex conductivity of a suspension of strafied particles of
spherical cylindrical form”, J. Phys. Chem., 59, 168, 1955.
[13]. Schwan H.P. “Electrical properties of tissue and cell suspensions”, Advances in biological and medical physics., vol.V, pp. 147-209, 1957.
[14]. Schwan H.P., Morowitz H.P. “Electrical properties of the membranes of the pleuro-pneumonia-like organism”, A5969 Biophys.J., 2, 259, 1962.
- 98 -
[15]. Debye P. “Polar molecules”, Dover: New York, 45, 1929.
[16]. Schwartz G. “A theory of the low frequency dispersion of colloid particles in electrolyte solutions”, J. Phys. Chem, 66, 2636-2642, 1962.
[17]. Bernhardt J., Pauly H. “On the generation of potential differences across the membrane of ellipsoidal cells in an alternating electrical field”, Biophysic, vol.10, pp 89-98, 1973.
[18]. Cooper M. “Gap functions increase the sensitivity of tissues cells to exogenous electric field”, J. Theor. Biol., vol.111, pp 123-130, 1984.
[19]. Miller C., Henriquez C. “Three-dimensional finite element solution for biopotentials : Erythrocyte in an applied field”, IEEE Trans. Biomed. Eng., vol.35, pp 712-718, 1988.
[20]. Kotnik, T., F. Bobanovič e D. Miklavčič. “Sensitivity of transmembrane voltage induced by electric fields – A theoretical analysis”. Bioelectrochem. Bioenerg. , 43:285-291, 1997.
[21]. Kotnik T., e D. Miklavčič, “Analytical description of transmembrane voltage induced by electric fields on spheroidal cells“. Biophys.J.. 79:670-679, 2000. [22]. Simonson T., C.L. Brooks III, “Charge screening and the dielectric constants
insights from molecular dynamics“. J. Am. Chem., 118:8452-8458, 1996. [23]. Foster K.R., Schwan H.P. “Dielectric properties of tissue”. Handbook of
biological effects of electromagnetic fields” 2nd Ed.Boca Raton: CRC press, pp. 535-580, 1995.
[24]. Bordi F., Cametti C., Di Biaso. “Determination of cell membrane passive electrical properties using frequency domain dielectric spectroscopy technique. A new approach.“ BBA, 1028, 201-4, 1990.
[25]. Kang X.K., Li L.W., Leong M.S., Kooi P.S. “Specific absorption rate distributions in a multilayered spheroidal human head model exposed to mobile dipoles.” Radio Science, vol.35, pp. 247-256, 2000.
[26]. Gandhi O.P., Lazzi G., Furse C.M.., “Electromagnetic absorption in the human head and neck for mobile telephones a 835 e 1900 MHz.” IEEE Trans. Microwave theory and tech., vol.44, pp. 1884-1897, 1996.
[27]. Okoniewski M., Stuchly M.A., “Modeling of interaction of electromagnetic field from a cellular telephone with hearing aids” IEEE Trans. Microwave theory and tech., vol.46, pp. 1686-1693, 1998.
L.Tramonte
Tesi di Laurea: ‘Un modello di cellula biologica…’
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[28]. Mangoud M.A., Abd-Alhameed A., Excell P.S., “Simulation of human interaction with mobile telephones using hybrid techniques over coupled domains.” IEEE Trans. Microwave theory and tech., vol.48, pp. 422-431, 2000.
[29]. Fear E.C., Stuchly M.A., “Modelling biological cells exposed to electric fields.” M.A.Sc. dissertation, Univ. of Victoria, Canada, Aug.1997.
[30]. Brauer J.R., Lizalek G.C., MacNeal B.E., Neuner J.C. “MSC/EMAS” User’s Manual, vol. 3.2.MacNeal-Schwendler Corp. Los Angeles, CA, 1995. [31]. Fear E.C., Stuchly M.A., “Modeling assemblies of biological cells exposed to
electric fields.” IEEE Trans. Biomedical engineering., vol.45, pp. 1259-1271, 1998.
[32]. Gailey P.C., “Comparison of voltage signals induced by power frequency fields to thermal electrical noise at the cell membrane.” Ph.D.thesis, Univ. of Utah, Salt Lake City, 1996.
[33]. Jerry R. A., Popel A. S., Brownell W. E., “Potential distribution for a spheroidal cell having a conductive membrane in an electric field.” IEEE Trans. Biomed. Eng., vol. 43, pp. 970–972, Set. 1996.
[34]. Monorchio A. “Appunti di compatibilità elettromagnetica.” Disponibili al sito http://ing.unipi.it/homepages/agostino.monorchio.
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Indice
Introduzione
... 1 1. .Capitolo 1
... 5 1.1. Modello cellulare ... 5 1.2. Proprietà dielettriche ... 71.2.1. Definizioni e concetti di base ... 8
1.2.2. Teoria generale del rilassamento ...10
1.2.3. Distribuzione dei tempi di rilassamento ...14
1.2.4. Meccanismi di rilassamento dielettrico ...19
2.
Capitolo 2
...272.1. Determinazione della tensione di transmembrana ...28
2.2. Calcolo potenziale cellule sferoidali ...32
2.2.1. Cellula Sferica ...32
2.2.2. Cellula Sferoide “Prolate” ...35
2.2.3. Cellula Sferoide “Oblate” ...38
2.3. Variazione della tensione di transmembrana con deformazioni elettromeccaniche ...40
3.
Capitolo 3
...433.1. Modelli e metodo di analisi ...44
3.2. Risultati e verifiche ...49
3.2.1. Catene e cellule allungate ...50
3.2.2. Catene lunghe di cellule ...54
3.2.3. Cellule e catene perpendicolari al campo ...57
3.2.5. Proprietà dei gaps... 59
4.
Capitolo 4
... 634.1. Cenni sul “Metodo delle differenze finite nel dominio del tempo” ... 63
4.2. Descrizione del software ... 67
4.2.1. Creazione di un progetto... 67
