Dynamic scaling in the dielectric response of excised EMT-6 tumours undergoing hyperthermia.

A constant-phase-angle response (CPA) has been identified in the dielectric spectrum of EMT-6 tissues undergoing hyperthermia. A dynamic scaling relationship between the static permittivity and conductivity using the CPA frequency exponent n has been shown to occur during the destructive phase of hyperthermia. This behaviour has been attributed to the self-similar structure of the internal membrane compartments of the cells and described by means of a hierarchical circuit model. In this way the CPA exponent has been related to the convolution of internal membrane surfaces lying in between the mitochondria and the outer cell wall. The dynamic scaling is assigned to the progressive destruction of cell membranes in sequence from the outside inwards.

[1]  R. M. Hill,et al.  The fractal nature of the cluster model dielectric response functions , 1989 .

[2]  Benoit B. Mandelbrot,et al.  Fractal Geometry of Nature , 1984 .

[3]  Rakesh K. Jain,et al.  Dielectric Properties of Solid Tumors During Nonnothermia and Hyperthermia , 1984, IEEE Transactions on Biomedical Engineering.

[4]  Bernard Sapoval,et al.  Fractal electrodes and constant phase angle response: Exact examples and counter examples , 1987 .

[5]  G. Hahn,et al.  SOME HEAT TRANSFER PROBLEMS ASSOCIATED WITH HEATING BY ULTRASOUND, MICROWAVES, OR RADIO FREQUENCY * , 1980, Annals of the New York Academy of Sciences.

[6]  Liu Fractal model for the ac response of a rough interface. , 1985, Physical review letters.

[7]  D. Mcrae,et al.  The effect of hyperthermia-induced tissue conductivity changes on electrical impedance temperature mapping. , 1994, Physics in medicine and biology.

[8]  Kaplan,et al.  Effect of disorder on a fractal model for the ac response of a rough interface. , 1985, Physical review. B, Condensed matter.

[9]  S. J. Webb,et al.  Dielectric Structure and Spatial-Temporal Organisation in Cells , 1985 .

[10]  A. Bonincontro,et al.  Influence of hyperthermia, pH and culturing conditions on the electrical parameters of Chinese hamster V79 cells. , 1988, Physics in medicine and biology.

[11]  Koji Asami,et al.  Dielectric Theory of Concentrated Suspensions of Shell-Spheres in Particular Reference to the Analysis of Biological Cell Suspensions , 1979 .

[12]  H. Schwan Electrical properties of tissue and cell suspensions. , 1957, Advances in biological and medical physics.

[13]  J. G. Webster,et al.  Impedance of Skeletal Muscle from 1 Hz to 1 MHz , 1984, IEEE Transactions on Biomedical Engineering.

[14]  L. Dissado,et al.  Invariant behaviour classes for the response of simple fractal circuits , 1991 .

[15]  D. Mcrae,et al.  The dielectric parameters of excised EMT-6 tumours and their change during hyperthermia. , 1992, Physics in medicine and biology.

[16]  Y. Huang,et al.  Differences in the AC electrodynamics of viable and non-viable yeast cells determined through combined dielectrophoresis and electrorotation studies. , 1992, Physics in medicine and biology.

[17]  A. Aharony Anomalous Diffusion on Percolating Clusters , 1983 .

[18]  S. H. Liu Fractals and Their Applications in Condensed Matter Physics , 1986 .

[19]  P. Hohenberg,et al.  Theory of Dynamic Critical Phenomena , 1977 .

[20]  D. Kell,et al.  The passive electrical properties of biological systems: their significance in physiology, biophysics and biotechnology. , 1987, Physics in medicine and biology.

[21]  Gunnar A. Niklasson,et al.  Fractal aspects of the dielectric response of charge carriers in disordered materials , 1987 .

[22]  L. Dissado,et al.  Dynamic scaling and the first-order character of ferroelectric transitions , 1983 .

[23]  Dissado La,et al.  Constant-phase-angle and power-law regimes in the frequency response of a general determinate fractal circuit. , 1988 .

[24]  R. Knöchel,et al.  Dielectric properties of Co-gamma-irradiated and microwave-heated rat tumour and skin measured in vivo between 0.2 and 2.4 GHz. , 1986, Physics in medicine and biology.

[25]  K. Asami Dielectric Behavior of Yeast Cell Suspensions : Effects of Some Chemical Agents and Physical Treatments on the Plasma Membranes and the Cytoplasms , 1977 .

[26]  K. Foster,et al.  Dielectric properties of mammalian tissues from 0.1 to 100 MHz: a summary of recent data. , 1982, Physics in medicine and biology.

[27]  H. P. Schwan,et al.  Analysis of Dielectric Data: Experience Gained with Biological Materials , 1985, IEEE Transactions on Electrical Insulation.

[28]  L. Dissado,et al.  A fractal interpretation of the dielectric response of animal tissues. , 1990, Physics in medicine and biology.

[29]  T. Hanai Theory of the dielectric dispersion due to the interfacial polarization and its application to emulsions , 1960 .