Piezoelectric effects in biological tissues

Telega, J. J.; Wojnar, R

Artykuł - szczegóły

Tytuł artykułu

Piezoelectric effects in biological tissues

Autorzy

Telega J. J. , Wojnar R

Treść / Zawartość

Pełne teksty:

Pobierz

Identyfikatory

Warianty tytułu

Zjawisko piezoelektryczne w biologii tkanek

Języki publikacji

Abstrakty

The aim of this paper is to analyze different contibutions and differents points of view concerning the meaning of the piezoelectric effect in the bone. It is now obvious that this effect is overhelming in dry bone. In wet bone more important are streaming potentials.

Analizujemy różne prace i różne punkty widzenia dotyczące zjawiska piezoelektrycznego w kości i jego znaczenia dla biologii tej tkanki. Zjawisko to obserwowane wyraźnie w kości suchej, odgrywa według ostatnich badań mniejszą niż sądzono początkowo rolę w procesach adaptacyjnych kości żywej. Tym niemniej własności piezoelektryczne są istotne dla różnych procesów biologicznych.

Słowa kluczowe

bone piezoelectricity

Wydawca

Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej

Czasopismo

Journal of Theoretical and Applied Mechanics

Rocznik

2002

Tom

Vol. 40 nr 3

Strony

723--759

Opis fizyczny

Bibliogr. 163 poz., rys.

Twórcy

autor

Telega J. J.

jtelega@ippt.gov.pl

Institute of Fundamental Technological Research, Warsaw

autor

Wojnar R

Institute of Fundamental Technological Research, Warsaw

Bibliografia

1. ANDERSON J.C., ERIKSSON C, 1968, Electrical properties of wet collagen, Nature, 218, 166-68
2. ANDERSON J.C., ERIKSSON C, 1970, Piezoelectric properties of dry and wet bone, Nature, 227, 491-92
3. ASCENZI A., BENVENUTI A., 1977, Evidence of a state of initial stress in osteonic lamellae, J. Biomechanics, 10, 447-53
4. ASHERO G., GIZDULICH P., MANGO F., 1999, Statistical characterization of piezoelectric coefficient cfo in cow bone, J. Biomechanics, 32, 573-77
5. ASTBURY, W.T., 1933, Some problems in the X-ray analysis of the structure of animal hairs and other protein fibres, Trans. Faraday Soc, 29, 193-211
6. ATHENSTAEDT H., 1970, Permanent longitudinal electric polarization and pyroclectric behavior of the collagenous structures and nervous tissue in man and other verterbrates, Nature, 228, 830-34
7. AVDEEV Yu.A., REGIRER S.A., 1979, Mathematical model of bone tissue as a poroelastic piezoelectric material, Mekh. Kompozitnykh Materyalou, No. 5, 851-55, in Russian
8. BASSET C.A.L., 1964, Bone biodynamics, ed. by H.M. Frost, Little & Brown, Boston, MA
9. BASSET C.A.L., 1965, Electrical effects in bone, Scient. Am., 213, 18-25
10. BASSETT C.A.L., 1968, Biological significance of piezoelectricity, Cale. Tiss. Res., 1, 252-272
11. BASSETT C.A.L., 1971, Biophysical principles affecting bone structure, in: The biochemistry and physiology of bone, Vol. 3, 1-76, ed. by G.H. Bourne, 2nd Edition, Academic Press, New York
12. BASSET C.A.L., BECKER R.O., 1962, Gencration of electric potentials by bone in response to mechanical stress, Science, 137, 1063-1064
13. BASSET C.A.L., PAWLUK R.J., BECKER R.O., 1964, Effects of electric currents on bone in vivo, Nature, 204, 652-654
14. BAZHENOV V.A., 1961, Piezoelectric properties of wood, Consultants Bureau, New York, N.Y.
15. BAZHENOV V.A., KONSTANTINOVA V.P., 1950, P'iezoelektricheskiye svoystva drevesiny, Doklady Akad. Nauk SSSR, 71, 283-286
16. BEAN B.P., 1989, Classes of calcium channels in vertebrate cells, Ann. Rev. Physioi, 51, 367-384
17. BECKER R.O., BASSET C.A.L., BACHMAN C.H., 1964, Bioelectrical factors controlling bone structure, Bone biodynamics, ed. by H.M. Frost, Little Brown, Boston, 209-232
18. BERRIDGE M.J., 1993, Inositol trisphosphate and calcium signalling, Nature, 361, 315-325
19. BHAGAVANTAM S., 1966, Crystal symmetry and physical properties, Academic Press, London
20. BIELSKI W., TELEGA J.J., 1997, Effective properties of geomaterials: rocks and porous media, Publ. Institute of Geophysics Polish Academy of Sciences, A-26, 285, Warsaw
21. BIOT M.A., 1955, Theory of elasticity and consolidation for a porous anisotropic solid, J. Appl. Phys., 26, 182-185
22. BLACK J., KOROSTOFF E., 1974, Strain-related potentials in living bone, N. Y. Acad. Sci, 238, 95-120
23. BOURNE G.H., 1971, Phosphate and calcification, in: The biochemistry and physiology of bone, Vol. 2, ed. by G.H. Bourne, Academic Press, New York, 79-120
24. BRADIN M., BAIRSTOW A.G., BEIDER I., RITTER B.G., 1966, Electrical and piezoclectrical properties of dental hard tissues, Nature, 212, 1565-1566
25. BRADY M.M., SYMONS S.A., STUCHLY S.S., 1981, Dielectric behavior of selected animal tissues in vitro at freąuencies from 2 to 4 GHz, IEEE Trans. Biomed. Engng., BME-28, 305-307
26. BRIGHTON C.T., BLACK J., POLLACK S.R., 1979, Electrical properties ofbone and cartilage, Grune and Stratton, New York
27. BRIGHTON C.T., FISHER J.R. JR, LEVINE S.E., CORSETTI J.R., REILLY T., LANDSMAN A.S., WILLIAMS J.L., THIBAULT L.R., 1996, The biochemical pathway mediating the proliferative response of bone cells to a mechanical stimulus. A beginning to an understanding of Wolff's Law, J. Bone Joint Surg. Am 78, 1337-47
28. BRIGHTON C.T., SCIIAFFER J.L., SHAPIRO D.B., TANG J.J.S., CLARK CC, 1991, Proliferation and macromolecular synthesis by rat calvarial bone cells grown in various oxygen tension, J. Orthop. Res., 9, 847-854
29. BRIGHTON C.T., SENNETT B.J., FARMER J.C, ET AL., 1992, The inositol phosphate pathway as a mediator in the celi proliferative response of rat calvarial bone cells to cyclical biaxial mechanical strain, J. Orthop. Res., 10, 385-393
30. BUR A.J., 1975, Piezoelectric measurements on bone as a function of temperature and humidity, Buli. Am. Phys. Soc, 20, 483
31. BUR A. J., 1976, Measurements of the dynamie piezoelectric properties of bone as a function of temperature and humidity, J. Biomechanics, 9, 495-507
32. BUSCH S., DOLHAINE H., DUCHESNE A., HEINZ S., HOCHREIN O., LAERI F., PODEBRAD O., VIETZE U., WEILAND T., KNIEP R., 1999, Biomimetic morphogenesis of fiuorapatite-gelatin composites: fractal growth, the question of intrinsic electric fields, core/shell assemblies, hollow spheres and reorganization of denaturated collagen, Eur. J. Inorg. Chem., 10, 1643-1653
33. CADY W.G., Piezoelectricity, Dover, New York 1964
34. CHAKKALAKAL D.A., JOHNSON M.W., HARPER R.A., KATZ J.L., 1980, Dielectric properties of fluid saturated bone, IEEE Trans. Biomed. Engng., BME-27, 95-100
35. COCHRAN G.V.B., PAWLUK R.J., BASSETT C.A.L., 1968, Electromechanical characteristics of bone under physiologic moisture conditions, Clin. Orthop., 58, 249-270
36. COLE K.S., Li CH.-L., BAK A.F., 1969, Electrical analogues for tissues, Experimental Neurology, 24, 459-473
37. COOK H.F., 1941, The dielectric behaviour of some types of human tissue at microwave frequencies, Brit. J. Appl. Phys., 2, 295-304
38. CORSETTI J.R., LEVINE S.E., POLLACK S.R., BRIGHTON C.T., 1992, En-hanced proliferation of cultured bone cells by a capacitevely coupled electric field, Trans. Bioelec. Repair and Growth Soc, 11, 36
39. CowiN S.C. (EDIT.), 2001, Bone Mechanics Handbook, CRC Press, Boca Raton
40. COWIN S.C, MOSS-SALENTIJN L., MOSS M.L., 1991, Candidates for the me-chanosensory system in bone, J. Biomech. Engng., 113, 191-197
41. CROLET J.M., AOUBIZA B., MEUNIER A., 1993, Compact bone: numerical simulation of mechanical characteristics, J. Biomechanics, 26, 677-687
26. BRIGHTON C.T., BLACK J., POLLACK S.R., 1979, Electrical properties ofbone and cartilage, Grune and Stratton, New York
27. BRIGHTON C.T., FISHER J.R. JR, LEVINE S.E., CORSETTI J.R., REILLY T., LANDSMAN A.S., WILLIAMS J.L., THIBAULT L.R., 1996, The biochemical pathway mediating the proliferative response of bone cells to a mechanical stimulus. A beginning to an understanding of Wolff's Law, J. Bone Joint Surg. Am 78, 1337-47
28. BRIGHTON C.T., SCIIAFFER J.L., SHAPIRO D.B., TANG J.J.S., CLARK CC, 1991, Proliferation and macromolecular synthesis by rat calvarial bone cells grown in various oxygen tension, J. Orthop. Res., 9, 847-854
29. BRIGHTON C.T., SENNETT B.J., FARMER J.C, ET AL., 1992, The inositol phosphate pathway as a mediator in the celi proliferative response of rat calvarial bone cells to cyclical biaxial mechanical strain, J. Orthop. Res., 10, 385-393
30. BUR A.J., 1975, Piezoelectric measurements on bone as a function of temperature and humidity, Buli. Am. Phys. Soc, 20, 483
31. BUR A. J., 1976, Measurements of the dynamie piezoelectric properties of bone as a function of temperature and humidity, J. Biomechanics, 9, 495-507
32. BUSCH S., DOLHAINE H., DUCHESNE A., HEINZ S., HOCHREIN O., LAERI F., PODEBRAD O., VIETZE U., WEILAND T., KNIEP R., 1999, Biomimetic morphogenesis of fiuorapatite-gelatin composites: fractal growth, the question of intrinsic electric fields, core/shell assemblies, hollow spheres and reorganization of denaturated collagen, Eur. J. Inorg. Chem., 10, 1643-1653
33. CADY W.G., Piezoelectricity, Dover, New York 1964
34. CHAKKALAKAL D.A., JOHNSON M.W., HARPER R.A., KATZ J.L., 1980, Dielectric properties of fluid saturated bone, IEEE Trans. Biomed. Engng., BME-27, 95-100
35. COCHRAN G.V.B., PAWLUK R.J., BASSETT C.A.L., 1968, Electromechanical characteristics of bone under physiologic moisture conditions, Clin. Orthop., 58, 249-270
36. COLE K.S., Li CH.-L., BAK A.F., 1969, Electrical analogues for tissues, Experimental Neurology, 24, 459-473
37. COOK H.F., 1941, The dielectric behaviour of some types of human tissue at microwave frequencies, Brit. J. Appl. Phys., 2, 295-304
38. CORSETTI J.R., LEVINE S.E., POLLACK S.R., BRIGHTON C.T., 1992, Enhanced proliferation of cultured bone cells by a capacitevely coupled electric field, Trans. Bioelec. Repair and Growth Soc, 11, 36
39. CowiN S.C. (EDIT.), 2001, Bone Mechanics Handbook, CRC Press, Boca Raton
40. COWIN S.C, MOSS-SALENTIJN L., MOSS M.L., 1991, Candidates for the mechanosensory system in bone, J. Biomech. Engng., 113, 191-197
41. CROLET J.M., AOUBIZA B., MEUNIER A., 1993, Compact bone: numerical simulation of mechanical characteristics, J. Biomechanics, 26, 677-687
42. DAINORA J., 1964, Piezoelectric properties of bone, M.Sc. thesis, West Virginia University, Morgantown, W.V.
43. DATE M., 1972, Piezoelectric constant in dispersed systems, Rept. Progr. Polymer Phys. Japan, 15, 385-387
44. DAVIDSON R.M., TATAKIS D.W., AUERBACH A.L., 1990, Multiple forms of mechanosensitivc ion channels in osteoblast-like celi, Pfliigers Arch., 416, 646-651
45. DAWSON T.W., STUCHLY M.A., CAPUTA K., SASTRA A., SHEPARD R.B., KAVET R., 2000, Pacemaker interference and low-frequency electric induction in humans by external fields and electrodes, IEEE Trans. Biomed. Eng., 47, 1211-1218
46. DEMIRAY H., GUZELSU N., 1977, A mixturc model for wet bones - I theory, Int. J. Engng Sci, 15, 707-718
47. ENCYCLOPAEDIA BRITANNICA, 1959, Vol. 3, William Benton Publisher, Chicago-London-Toronto, item: bone
48. ERIKSSON C., 1974, Streaming potentials and other water - dependent effects in mineralized tissue, N.Y. Acad. Sci, 238, 321-338
49. ERIKSSON C., 1976, Electrical properties of bone, in: The biochemistry and physiology of bone, Vol. 4, ed. by G.H. Bourne, Academic Press, New York, 329-384 '
50. FERRIER J., ROSS S.M., KANEHISA J., AUBIN J.E., 1986, Osteoclasts and osteoblasts migrate in opposite directions in response to a constant electrical field, J. Celi. Physioi, 129, 283-288
51. FREEMAN J.R., 1967, Dielectric properties of mineralized tissues, Trans. New York Acad. Sci. division of phys. scies, 29, 623-633
52. FROST H.M., 1973, Bone remodeling its relationship to metabolic bone dise-ases, Orthopaedic lectures, Vol. III, Charles C. Thomas, Springfield, 111
53. FUKADA E., 1968a, Mechanical deformation and electrical polarization in biological substances, Biorheology, 5, 199-208
54. FUKADA E., 1968b, Piezoelectricity as a fundamerital property of wood, Biorheology, 5, 199-208
55. FUKADA E., 1968C, Piezoelectricity in polymers and biological materials, Ultrasonics, 6, 229-234
56. FUKADA E., 1974, Piezoelectric properties of organie polymers, N.Y. Acad. Sci, 238, 7-25
57. FUKADA E., HARA K., 1969, Piezoelectric effect in blood vessel walls, J. Phys. Soc. Japan, 26, 777-780
58. FUKADA E., TAKASHITA S., 1971, Piezoelectric constant in oriented 0 form polypeptides, Jap. J. Appl. Phys., 10, 722-726
59. FUKADA E., YASUDA I., 1957, On the piezoelectric effect of bone, J. Phys. Soc. Japan, 12, 1158-1162
60 FUKADA E., YASUDA I., 1959, Progres in Polymer Physics in Japan, 2, 101
61. FUKADA E., YASUDA I., 1964, Piezoelectric effects in collagen, Jap. J. Appl. Physics, 3, 117-121
62. GEIGER R.V., BERK B.C., ALEXANDER R.W., NEREM R.M., 1992, Flow-induced calcium transients in single endothelial cells; spatial and tcmporal ana-lysis, Am. J. Physioi, 262, C1411-C1417
63. GJELSVIK A., 1973, Bone remodelłing and piezoelectricity - I, II, J. Biomecha-nics, 6, 69-77, 187-193
64. GOES S.C., FIGUEIRO S.D., DE PAIVA J.A.C., SOMBRA A.S.B., 1999, Piezoelectric and dielectric properties of collagen films, Phys. Status Solidi A, 176, 1077-83
65. GUNDJIAN A. A., CHEN H.L., 1974, Standardization and interpretation of the electromechanical properties of bone, IEEE Trans. Biomed. Engng., BME-21, 177-182
66. GRODZINSKY A.J., 1983, Ełectrochemical and physicochemical properties of connective tissue, CRC Critical Reviews in Biomedical Engineering, 9, 133-199
67. GROSS D., WILLIAMS W.S., 1982, Streaming potential and the electromechanical response of physiologically moist bone, J. Biornechanics, 15, 277-295
68. GRYNKIEWICZ R.M., POENIE M., TSIEN R.Y., 1985, Flow-induced calcium transients in single endothelial cells: spatial and temporal analysis, J. Biol. Chem., 280, 6, 3440-3450
69. GiJZELSU N., 1978, A piezoelectric model for dry bone tissue, J. Biornechanics, 11, 257-267
70. GUZELSU N., DEMIRAY H., 1979, Recent advances Electromechanical properties and related models of bone tissues A review, Int. J. Engng Sci., 17, 813-851
71. GUZELSU N., SAHA S., 1984, Electro-mechanical behavior of wet bone - part I: theory, J. Biomech. Engng., 106, 249-261
72. GUZELSU N., SAHA S., 1984, Electro-mechanical behavior of wet bone - part II: wave propagation, J. Biomech. Engng., 106, 262-271
73. HE Y., GRINELLI F., 1994, Stress relaxation of fibroblasts activates a cyclic AMP signaling pathway, J. Celi Biol, 126, 2, 457-464
74. HERRING G.M., 1971, in: The biochemistry and physiology of bone, Vol. 1, ed. by G.H. Bourne, pp. 127-189, 2nd cdition, Academic Press, New York
75. HILCZER B., MAŁECKI J., 1986, Electrets, PWN Warszawa and Elsevier Amsterdam
76. HOLLAND R., 1967, Representation od dielectric, elastic and piezoelectric losses by complex coefficients, IEEE Trans. Sonics Ultrason., SU-14, 18-20
77. HOLMES D.J.S., 1979, Quasi-hexagonal molecular packing in collagen fibrils, Nature, 282, 878-880
78. HOUSE S., 2000, Applied electric field in the treatment of bone fractures, last modified: October 23, 2000, http://www.wpi.edu/ gro-vers/PH3301/emtharpy/SallyHouse/SallyHouse.html
79. HUNG C.T., ALLEN F.D., POLLACK S.R., BRIGHTON C.T., 1996a, What is the role of the convective current density in the real-timc calcium response of cultured bone cells to fluid flow?, J. Biomechanics, 29, 1403-1409
80. HUNG C.T., ALLEN F.D., POLLACK S.R., BRIGHTON C.T., 1996b, Intracellural Ca2+ stores and extracellular Ca2+ are reąuired in the real-time Ca2+ response of bone cells experiencing fluid flow, J. Biomechanics, 29, 1411-1417
81. HUNG C.T., POLLACK S.R., REILLY T.M., BRIGHTON C.T., 1995, Real-time calcium response of cultured bone cells to fluid flows, Clin. Orthop., 313, 256-269
82. HUNTER R.J., 1981, Charge and potential distribution aat intefaces, in: Zeta potential in colloid science - principles and applications, Academic Press, London-New York-Orlando, pp. 11-58
83. JENDRUCKO R.J., CHENG C.J., HYMAN W.A., 1977, The distribution of induced electrical acitivity in bent long bone, J. Biomechanics, 10, 493-503
84. JOHNSON M.W., KATZ J.L., 1987, Electromechanical effects in bone, in: Hand-book of Bioengineering, Edit. R. Skalak and S. Chien, Mc Graw Hill, New York, 3.1-3.11
85. JOHNSON M.W., CHAKKALAKAL D.A., HARPER R.A., KATZ J.L., 1980a, Comparison of the electromechanical effects in wet and dry bone, J. Biomecha¬nics, 13, 437-442
86. JOHNSON M.W., WILLIAMS W.S., GROSS D., 1980b, Ceramic models for piezoelectricity in dry bone, J. Biomechanics, 13, 565-573
87. JONES D.B., BINGMANN D., 1991, How do osteoblasts respond to mechanical stimulation?, Cells materials, 1, 329-340
88. KATZ J.L., 1971, Hard tissue as a compositc materiał. I. Bounds on the elastic behavior, J. Biomechanics. 4, 455-473
89. KIETIS B.P., LINGĘ D., PAKALNIS S. and VALKUNAS L., 1998, Piezoelectric model of energy conversion in bacteriorhodopsin, Lith. Phys. J., 38, 270-5. Translation of: Liet. Fiz. Z., 38, 313-19 (1998)
90. KOROSTOFF E., 1977, Stress generated potentials in bone: relationship to pie-zoelectricity of collagen, J. Biomechanics, 10, 41-44
91. Korostoff E., 1979, Linear piezoelectric model for characterizing stress generated potentials in bone, J. Biomechanics, 12, 335-347
92. KOSTERICH J.D., FOSTER K.R., POLLACK S.R., 1984, Dielectric properties of fluid saturated bone: effect of variation in conductivity of immersion fluid, IEEE Trans. Biomed. Engng., 31, 369-374
93. KUDRIAVTSEV B.A., 1978, Mechanics of piezoelectric materials, in: Rogi Nauki i Tekhniki. Mekhanika tverdogo deformiruemogo tela, 14, 5-66, in Russian
94. KUMMER B.K.F., 1972, in: Biomechanics, ed. by Y.C. Fung, N. Perrone and M. Anliker, Prentice-Hall, New York, 237-271
95. LAKES R.S., HARPER P.A., KATZ J.L., 1977, Dielectric relaxation in cortical bone, ./. Appl. Phys., 48, 808-811
96. LANDAU L.D., LlFSHiTS E.M., 1982, Elektrodynamics of continuous media, Nauka, Moskva, in Russian
97. LANG S.B., 1966, Pyroelectric effect in bone and tendon, Nature, 212, 704-705
98. LANG S.B., 1969, Thermal expansion coefficients and the primary and secondary pyroelectric coefficients of animal bone, Nature, 224, 798-799
99. LANYON L.E., 1992, Osteocytes, strain detcction, bone modeling and rernodcling, Calcif. Tissue Int., 53, Suppl. 1, S102-S107
100. LEKSZYCKI T., TELEGA J.J., 2002, Progress in functional adaptation of tissues and remodclling. Part I and II, Eng. Trans., in press
101. LIBOFF A.R., FURST M., 1974, Pyroelectric effects in collagenous structures, N.Y. Acad. Sci., 238, 26-35
102. LIBOFF A.R., SHAMOS M.H., 1973, Solid state physics of bone, in: Biological mineralization, ed. by I. Zipkin, Wiley, New York, Chapter 14, 335-395
103. LIBOFF A.R., SHAMOS M.H., DEVIRGILIO W., 1971, The piezoelectric moduli of bone, 15th Ann. Biophys. Soc. Meet., New Orleans
104. LORICH D.G., BRIGHTONE C.T., CORSETTI J.R., POLLACK S.R., 1993, Role of prostaglandin E2 on bone celi proliferation in response to a capacitevely coupled electric field, Trans. Orthop. Res. Soc, 18, 179
105. MARINO A.A., BECKER R.O., 1975, Piezoelectricity in hydrated bone and tendon, Nature, 253, 627-628
106. MARINO A.A., ROSSON J., GONZALEZ E., JONES L., FUKADA E., 1988, Quasistatic charge interaction in bone, J. Electrostatics, 21, 347-360
107. MAROUDAS A., 1968, Physicochemical propcrties of cartilage in the light of ion cxchange theory, Biophysical J., 8, 575-594
108. MARTIN A.J.P., 1941, Triboelectricity in wood and hair, Proc. Phys. Soc, 53, 186-189
109. MCELHANEY J.H., 1967, (1968) The charge distribution of the human femur due to load, J. Bone and Joint Surgery, 49-A, 1561-1571
110. MCLEAN F.C., 1955, Bone, Scientific American, 192, 2, 84-91
111. MCLEOD K.J., DONAHUE H.J., FONTAINE M.A., RUBIN C.T., 1993, Celi density effects on the interaction of electric fields with cells in vitro, in: Electricity and magnetism in biology and medicine, ed. by M. Blank, San Francisco Press, San Francisco, pp. 291-294
112. MICHEL CC, 1988, Capillary permeability and how it may change, J. Physioi, 404, 1-29
113. MINDLIN R.D., 1961, On the eąuations of motion of piezoelectric crystals, in: Problems of continuum mechanics, ed. by J.R.M. Radok, Society for Industrial and Applied Mathematics, Philadelphia, pp. 282-290
114. PELTIER, L.F., 1981, A brief historical note on the use of electricity in the treatment of fractures, Clin. Orthop., 161, Nov.-Dec. 4-7
115. PETHIG R., 1979, Dielectric and electronic properties of biological materials, J. Wiley, Chichester
116. PETROV N., 1975, Electro-mechanical intcractions in physiologic wet bones, Bulgarian Academy of Sciences, Biomechanics, 2, 31-42
117. PFEIFFER B.H., 1977a, Local piezoelectric połarization of human cortical bone as a function of stress freąuency, J. Biomechanics, 10, 53-57
118. PFEIFFER B.H., 1977b, A model to estimate the piezoelectric połarization in the ostcon system, J. Biomechanics, 10, 487-492
119. PIEKARSKI K., 1973, Analysis of bone as a composite materiał, Int. J. Engng Sci, 11, 557-565
120. PIEŃKOWSKI D., POLLACK S.R., 1983, The origin of stress-generated potentials in fluid saturatcd bone, J. Orthop. Res., 1, 30-41
121. POLLACK S.R., PETROV N., SALZSTEIN R., BRANKOV G., BLAGOEVA R., 1984, An anatomical model for streaming potentials in osteons, J. Biomechanics, 17, 627-636
122. RAMACHANDRAN G.N., KARTHA G., 1954, Structure of collagan, Nature, 174, 269-270
123. REGLING G., 2000, Conception of a bioelectromagnetic signal system via the collagen fibril network; Biochemical conclusions and underlying coherent rae-chanism. I. Solid state effects and hierachicał bioelectrical regulation, Electro-and Magnetobiology, 19, 149-161II. Encrgetic aspects, acid and neutral proteases, and the phenomenon of coherence, ibid, 163-175
124. REICH K.M., FRANGOS J.A., 1993, Protein kinase C mediates flow-induced prostaglandin E—2 production in osteoblasts, Calcif. Tissue Int., 52, 62-66
125. REICH K.M., GAY CV., FRANGOS J.A., 1990, Fluid shear stress as a mediator of osteoblast cyclic adenosine monophosphate production, J. Celi Physioi, 143, 100-104
126. REINISH G.B., NOWICK A.S., 1975, Piezoelectric properties of bone as functions of moisturc content, Nature, 253, 626-627
127. RICE J.R., CLEARY M.P., 1976, Some basie stress diffusion solutions for fluid saturated elastie porous media with comprcssible constituents, Rev. Geophys. Space Phys., 14, 227-241
128. RUDNICKI J.W., 1985, Effect of porc fluid diffusion on deformation and failure of rock, Mechanics of Geomaterials, ed. by Z. Bażant, John Wiley and Sons, 315-347
129. SADOSHIMA J.-I., TAKAHASHI T., JAHN L., IZUMO S., 1992, Role of mechano-sensitivc ion channels, cytoskeleton, and contractile activity in stretch-induced immediate-carly genc expression and hypcrtrophy of cardiac myocytes, Proc. Natl. Acad. Sci, 89, 9905-9909
130. SALZSTEIN R.A., POLLACK S.R., 1987, Electromechanical potential in cortical bone II. Experimental analysis, J. Biomechanics, 20, 271-280
131. SALZSTEIN R.A., POLLACK S.R., MAK A.F.T., PETROV N., 1987, Electromechanical potentials in cortical bone - I. A continuum approach, J. Biome¬chanics, 20, 261-270
132. SASAKI N., ODAJIMA S., 1996, Stress-strain curve and Young's modulus of a collagen molecule as determined by the X-ray diffraction techniqc, J. Biome¬chanics, 29, 655-658
133. SATCHER R.L. JR, BUSSOLARI S.R., GIMBRONE M.A. JR, DEWEY F.C. JR, 1992, The distribution of forces on model endothelium using computational fluid dynamics, J. Biomech. Engng., 114, 309-316
134. SCHWAN H.P., 1957, Electrical properties of tissue and celi suspensions, in: Advances in Biological and Medical Physics, vol. 5, Academic, New York, 147-209
135. SCOTT G.C., KOROSTOFF E., 1990, Oscillatory and step response: electrome-chanicl phenomena in human and bovine bone, J. Biomechanics, 23, 127-143
136. SHAMOS M.H., LAVINE L.S., 1964, Physical bases for bioelectric effect in mineralized tissues, Clinical Orthopaedics and Related Research, 35, 177-188
137. SHAMOS M.H., LAVINE L.S., SHAMOS M.I., 1963, Piezoelectric effect in bone, Nature, 197, 81-81
138. SHUBNIKOV A.V., 1946, Piezoelectric teztures, Izd. AN SSSR, in Russian
139. SHUBNIKOV A.V., BELOV N.V., 1964, Coloured symmetry, Pergamon Press
140. SILLARS R.W., 1937, The properties of a dielectric containing semi-conducting particles of various shapes, J. Instn. Electr. Engrs, London, 80, 378-394
141. SPIRT A.A., POLLACK S.R., 1993, Agc-rclated change in the zeta potential of bone and its influence upon endogenous electrical field strength, in: Electricity and magnetism in biology and Medicine, ed. by M. Blank, San Francisco Press, San Francisco, 693-697
142. STUCHLY M.A., STUCHLY S.S., 1980, Dielectric properties of biological substances, tabulated, J. Microwave Power, 15, 19-26
143. TELEGA J.J., 1991, Piezoelectricity and homogenization. Application to bio-mechanics, in: Continuum Models and Discrete Systems, vol. 2, ed. by G.A. Maugin, 220-229, Longman, Essex
144. TELEGA J.J., WOJNAR R., 1996, Flow of conductive fiuids through poroelastic media with piezoelectric properties, Fluid-Structure Interactions in Biomechanics, 10-13th April, Imperial College, London SW7 2AZ UK
145. TELEGA J.J., WOJNAR R., 1998, Flow of conductive fluids through poroelastic media with piezoelectric properties, J. Theor. Appl. Mech., 36, 775-794
146. TELEGA J.J., WOJNAR R., 2000, Flow of electrolyte through porous piezoelectric medium: macroscopic eąuations, C. R. Acad. Sci., Paris, 328, Serie Ilb, 225-30
147. TSAY R.-Y., WEINBAUM S., 1991, Viscous flow in a channel with periodic cross-bridging fibers: exact solution and Brinkman approximation, J. Fluid Mech., 226, 125-148
148. UKLEJEWSKI R., 1993, Electromechanical potentials in a fluid-filled cortical bone: initial stress state in osteonic lamellae, piezoelectricity and streaming potential roles - a theory, Biocybernetics and Biomedical Engng., 13, 97-112
149. UKLEJEWSKI R., 1994, Initial piezoelectric polarization of cortical bone matrix as a determinant of. the electrokinetic potential Zeta of that bone osteonic lamella as mechanoelectret, J. Biomechanics, 27, 991-992
150. WARNER M., TERENTEV E.M., 1999, The coupling of chiral chains to mechanical distortions in elastomers, Proc. R. Soc. hond., A 455, 3629-44
151. WEINBAUM S., COWIN S.C., ZENG YU, 1994, A model for the excitation of osteocytes by mechanical loading-induced bone fluid shear stresses, J. Biome¬chanics, 27, 339-360
152. WILKINSON S.J., HUKINS D.W.L., 1999, Determination of collagen fibril structure and orientation in connective tissues by X-ray diffraction, Radiat. Phys. Chem., 56, 197-204
153. WILLIAMS W.S., 1974, Sources of piezoelectricity in tendon and bone, CRC Critical Reuiews in Bioengineering, 95-118
154. WILLIAMS W.S., BREGER L., 1974, Analysis of stress distribution and piezoelectric response in cantilever bcnding of bone and tendon, Ann. N. Y. Acad. Sci., 238, 121-130
155. WILLIAMS W.S., BREGER L., 1975, Piezoelectricity in tendon and bone, J. Biomechanics, 8, 1-6
156. WILLIAMS W.S., BREGER L., JOHNSON M., 1975, Ceramic models for study of piezoelectricity in solids, J. Am. Ceram. Soc, 58, 415-417
157. WILLIAMS J.L., IANNOTI J.P., HAM A., BLEUIT J., CHEN J.H., 1994, Effects of fluid shear stress on bone cells, Biorheology, 31, 161-168
158. WOJNAR R., TELEGA J.J., 1997, Electrokinetics in dielectric porous media, Problems of environmental and damage mechanics, Proceedings of the XXXI Polish Solid Mechanics Conference, September 9-14, 1996, ed, by W. Kosiński, R. de Boer, D. Gross, IPPT PAN, Warszawa
159. WOLFF J., 1892, Das Gesetz der Transformationen der Knochen, Hirschwald, Berlin
160. YASUDA I., NOGUCHI K,, SATA T., 1955, Dynamie callus and electric callus, The Journal of Bone and Joint Surgery, 37A, 1292-1293
161. YOON H.S., KATZ J.L., 1976, Ultrasonic wave propagation in human cortical bone - III. Piezoelectric contribution, J. Biomechanics, 9, 537-540
162. ZHANG D.S., WEINBAUM S., COWIN S.C., 1998, On the calculation of bone pore water pressure due to mechanical loading, Int. J. Solids Structures, 35, 4981-4997
163. ZHELUDEV I.S., 1974, Piezoelectricity in textured media, Solid State Physics, 29, 315-359

Typ dokumentu

Bibliografia

Identyfikator YADDA

bwmeta1.element.baztech-article-BWM2-0014-0010