Search PubMedSearch

PubMed · 7207431

Hyperthermia with implanted electrodes.

Abstract

A general solution is given for the steady state form of the heat conduction equation applied to a simple tumor model which is imagined as being heated by means of electrical currents flowing between metallic electrodes. The model assumes a homogeneous tumor with no bloodflow. The solution for the special case of constant temperature and potential at the surface of the heated volume is examined in detail. The solution shows that there exists, independent of the particular tumor and electrode geometry, a close relationship between the steady state temperature distribution and the electrical potential. Among the more important implications of this relationship are that equipotential surfaces within the heated volume are also isothermal surfaces and that no areas of excessive heat at or near any sharp edges or corners of the electrodes should develop, despite the high electric field intensity. Based on the theory, a procedure is outlined which might greatly facilitate the determination of temperature distributions in phantoms. Finally, the usefulness and the limitations of the theoretical models in clinical hyperthermia are discussed.

Explore related subjects

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

I A Brezovich, J H Young. Hyperthermia with implanted electrodes.. https://doi.org/10.1118/1.594911

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related citations

Changes in the passive electrical properties of human stratum corneum due to electroporation.

The stratum corneum (SC) is the main barrier to molecular and ionic transport across mammalian skin and has been extensively studied by others at low voltages (U(skin)(t) < 10 V) in order to partially characterize the skin. Here we use one or more exponential pulses (tau pulse = 1 ms) and a temperature of 25 +/- 2 degrees C and found that the low voltage passive electrical properties (impedance) change rapidly and significantly if these pulse result in U(skin),0 > 40 V. In contrast, the dynamic resistance (describing passive electrical behavior in a nonlinear range) changes dramatically by application of pulses between 40 V and 80 V and then it settles at levels between 50 omega and 100 omega. We also found that recovery of the low voltage electrical parameters after pulsing depends mainly on the voltage, and, for multiple pulse protocols, on the number of pulses. For single pulses of U(skin),0 approximately 90 V or less the electrical recovery was almost complete, returning to within 0.90 of the pre-pulse value. In contrast, larger pulses result progressively in decreased recovery. The recovery for pulses > 90 V revealed several characteristic times, suggesting the involvement of different processes. For multiple pulses with U(skin),0 > 130 V almost no recovery of the transdermal resistance, R(skin), was evident (returning to < 0.10 of pre-pulse values), i.e., essentially permanent changes in the stratum corneum occurred. This is similar to that of single bilayer membrane electroporation, for which a transition from reversible to irreversible behavior occurs as transmembrane voltage is increased. Thus, these results are consistent with the hypothesis that 'high-voltage' pulses cause electroporation within the SC, i.e., that elevated transmembrane voltage result in creation of new aqueous pathways ('pores') across SC lipid regions.

Electric Conductivity

Black lipid membranes of tetraether lipids from Thermoplasma acidophilum.

Black lipid membranes were formed of tetraether lipids from Thermoplasma acidophilum and compared to the bilayer forming lipids diphytanoylphosphatidylcholine and diphythanylglucosylglycerol. Bilayer-forming lipids varied in thickness of black lipid membranes due to the organic solvent used. Measurements of the specific membrane capacitance (Cm = 0.744 microF/cm2) showed that the membrane-spanning tetraether lipids from Thermoplasma acidophilum form a monolayer of a constant thickness of 2.5-3.0 nm no matter from which solvent. This finding corresponds to the results of Gliozzi et al. for the lipids of another archaebacterium, Sulfolobus solfataricus. Black lipid membranes were formed at room temperature with a torus from bilayer-forming lipids, however, the torus could also be formed by the tetraether-lipid itself at room temperature and at defined concentration. In these stable black lipid membranes, conductance was measured in the presence of valinomycin, nonactin, and gramicidin. At 10(-7) M concentration, valinomycin mediated higher conductance in membranes from tetraether lipids (200-1200 microS/cm2) than from bilayer-forming lipids (125-480 microS/cm2). Nonactin, at 10(-6) M concentration, mediated a 6-fold higher conductance in a tetraether lipid membrane than in a bilayer, whereas conductance, in the presence of 5 x 10(-11) M gramicidin could reach higher values in bilayers than in tetraether lipid monolayers of comparable thickness. Monensin did not increase the conductance of black lipid membranes from tetraether lipids under all conditions applied in our experiments. Poly(L-lysine) destroyed black lipid membranes. Lipopolysaccharides from Thermoplasma acidophilum were not able to form stable black lipid membranes by themselves. The lipopolysaccharide complexes from Thermoplasma acidophilum and from Escherichia coli decreased the valinomycin-mediated conductance of monolayer and bilayer membranes. This influence was stronger than that of the polysaccharide dextran.

Electric Conductivity