| Kinetics of the lamellar and hexagonal phase transitions in phosphatidylethanolamine. Time-resolved x-ray diffraction study using a microwave-induced temperature jump Biophysical Journal, Volume 58, Issue 1, 1 July 1990, Pages 21-29 M. Caffrey, R.L. Magin, B. Hummel and J. Zhang Abstract The kinetics of the thermotropic lamellar gel (L beta')/lamellar liquid crystal (L alpha) and L alpha/inverted hexagonal (HII) phase transitions in fully hydrated dihexadecylphosphatidylethanolamine (DHPE) have been studied. Measurements were made by using time-resolved x-ray diffraction (TRXRD) to monitor progress of the transitions. In these studies microwave energy at 2.5 GHz was used to increase the sample temperature rapidly and uniformly through the phase transition regions. The L beta'/L alpha and L alpha/HII transitions of DHPE were examined under active microwave heating and passive cooling. The transitions were found to be repeatable and reversible, and to have an upper bound on the time required to complete the transition of less than 3 s. Regardless of the direction of the transition, both phase transitions appeared to be two-state with no accumulation of intermediates to within the sensitivity limits of the TRXRD method. The rate and amplitude of the temperature jump can be controlled by regulating microwave radiation input power. A temperature jump rate of 29 degrees C/s was obtained at a final microwave power setting of 120 W. Comparisons between previously reported fluid flow (Caffrey, M. 1985. Biochemistry. 24:4826–4844) and microwave heating studies suggest that the determination of limiting transit times will require faster heating. Abstract | PDF (1509 kb) |
| High Field/High Frequency Saturation Transfer Electron Paramagnetic Resonance Spectroscopy: Increased Sensitivity to Very Slow Rotational Motions Biophysical Journal, Volume 86, Issue 6, 1 June 2004, Pages 3940-3950 Eric J. Hustedt and Albert H. Beth Abstract Saturation transfer electron paramagnetic resonance (ST-EPR) spectroscopy has been employed to characterize the very slow microsecond to millisecond rotational dynamics of a wide range of nitroxide spin-labeled proteins and other macromolecules in the past three decades. The vast majority of this previous work has been carried out on spectrometers that operate at X-band (∼9GHz) microwave frequency with a few investigations reported at Q-band (∼34GHz). EPR spectrometers that operate in the 94–250-GHz range and that are capable of making conventional linear EPR measurements on small aqueous samples have now been developed. This work addresses potential advantages of utilizing these same high frequencies for ST-EPR studies that seek to quantitatively analyze the very slow rotational dynamics of spin-labeled macromolecules. For example, the uniaxial rotational diffusion (URD) model has been shown to be particularly applicable to the study of the rotational dynamics of integral membrane proteins. Computational algorithms have been employed to define the sensitivity of ST-EPR signals at 94, 140, and 250GHz to the correlation time for URD, to the amplitude of constrained URD, and to the orientation of the spin label relative to the URD axis. The calculations presented in this work demonstrate that these higher microwave frequencies provide substantial increases in sensitivity to the correlation time for URD, to small constraints in URD, and to the geometry of the spin label relative to the URD axis as compared with measurements made at X-band. Moreover, the calculations at these higher frequencies indicate sensitivity to rotational motions in the 1–100-ms time window, particularly at 250GHz, thereby extending the slow motion limit for ST-EPR by two orders of magnitude relative to X- and Q-bands. Abstract | Full Text | PDF (207 kb) |
| Microwave dielectric relaxation in muscle. A second look Biophysical Journal, Volume 29, Issue 2, 1 February 1980, Pages 271-281 K.R. Foster, J.L. Schepps and H.P. Schwan Abstract The dielectric permittivity and conductivity of muscle fibers from the giant barnacle, Balanus nubilus, have been measured at 1, 25, and 37 degrees C, between 10 MHz and 17 GHz. The dominant microwave dielectric relaxation process in these fibers is due to dipolar relaxation of the tissue water, which shows a characteristic relaxation frequency equal to that of pure water, ranging from 9 GHz (1 degree C) to 25 GHz (37 degree C). The total permittivity decrease, epsilon 0 -- epsilon infinity, due to this process accounts for approximately 95% of the water content of the tissue; thus, the major fraction of tissue water is dielectrically identical to the pure fluid on a picosecond time scale. A second dielectric process contributes significantly to the tissue dielectric properties between 0.1 and 1--5 GHz, and arises in part form Maxwell-Wagner effects due to the electrolyte content of the tissue, and in part from dielectric relaxation of the tissue proteins themselves. Abstract | PDF (672 kb) |
Copyright © 2006 The Biophysical Society. All rights reserved.
Biophysical Journal, Volume 91, Issue 4, 1413-1423, 15 August 2006
doi:10.1529/biophysj.106.084111
Nucleic Acids
Anan B. Copty
,
, Yair Neve-Oz, Itai Barak, Michael Golosovsky and Dan Davidov
The Racah Institute of Physics, The Hebrew University of Jerusalem, Jerusalem, Israel
Address reprint requests to A. B. Copty, Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904, Israel. Tel.: 972-02-658-4637; Fax: 972-2-561-7805.The ever-increasing number of cellular phones, base stations, digital mobile communication systems, and other portable devices operating at microwave frequencies, motivates the scientific community to deeply understand the mechanism of interaction between microwave radiation and biological systems. One powerful approach to this problem is studying the effect of microwave irradiation on protein conformation.
There is substantial evidence that the microwave radiation effect on biomolecules in solution and living tissues cannot be entirely reduced to macroscopic heating. In particular, Bohr and Bohr 1 have recently argued for the existence of the unique microwave effect in their experiments with folding/unfolding of the β-lactoglobulin under microwave irradiation; De Pomerai et al. 2,3 claimed very specific kinetics of green fluorescent protein reporter induction in PC161 worms under prolonged exposure to microwaves; Porcelli et al. 4 have shown a nonthermal irreversible inactivation of some enzymes after extended exposure to 10.4GHz microwave radiation; Mancinelli et al. 5 have demonstrated slower refolding kinetics of tuna myoglobin protein due to prolonged exposure at 1.95GHz at a nonthermal level; and Hamad-Schifferli et al. 6 reported microwave heating of solution-based DNA with attached gold particles where the effective temperature of the DNA exceeded the solution temperature by 13°C. However, when the biomolecule is in the crystalline form, the effect of microwave irradiation is indistinguishable from conventional heating 7.
The theoretical analysis of microwave interaction with biological systems does not leave many possibilities for the nonthermal microwave effect on biological systems. In particular, Adair 8 showed that the resonance excitation of biological molecules in solution at microwave frequencies is highly improbable. Foster 9 demonstrated that thermal gradients on the nanometric scale are exceedingly small. The recent overviews 9,10 summarize possible mechanisms of microwave interaction with biological systems. A thorough analysis of possible microwave interaction with proteins in solution can also be found in Weissenborn et al. 7.
Most of the experimental works in this area compare the properties of the sample before and after microwave irradiation, i.e., they focus on irreversible effects. Only a few works study the properties of biomolecules and tissues during microwave irradiation 1,6,11. In particular, Gellermann et al. 11 used proton nuclear magnetic resonance frequency shift as a real-time sensor of the tissue temperature under RF-exposure. A similar task can be done with the fluorescing proteins which are known for their great asset of monitoring chemical and biological processes 12. Our idea is to study the effect of microwave radiation on the fluorescence of such proteins in solution in real time.
For this purpose, we chose the green fluorescent protein (GFP). This molecule has a very specific structure. Indeed, in the folded state it has a barrel shape, where the walls of the barrel are composed of several antiparallel β-sheets connected to α-helical stretches. One of these stretches extends to the interior of the β-barrel and forms the fluorescent chromophore, which is a p-hydroxybenzylidene-imidazolidinone generated by cyclization and oxidation of the Ser-Tyr-Gly sequence at positions 65, 66, and 67 13. These three amino acids and their interaction with neighboring residues determine the fluorescent properties of GFP and its mutant forms. In our particular experiments we used a mutant named enhanced GFP (or EGFP), which contains two amino-acid substitutions at positions 64 and 65 14. The chromophore in EGFP is permanently ionized and it is found in a hydrophobic region where it is well-protected by the β-structure from external solvents. The EGFP fluorescence is high in the folded state and is insignificant in the unfolded state 15. The high quantum yield at ambient temperature—60%—is related to the rigid attachment of the chromophore inside the barrel, which prevents nonradiative decay of the excited state 16. Nevertheless, the EGFP fluorescence at ambient temperature shows weak temperature dependence 16,17,18. In particular, upon increasing the temperature, the fluorescence intensity decreases and the spectrum is red-shifted. This is usually attributed to increased thermal motion of side chains 19. Therefore, the measurement of the red-shift provides a way to estimate the local temperature of the protein molecule.
In this work we study the effect of microwave irradiation on the intensity and spectrum of the EGFP fluorescence in solution. Since the EGFP fluorescence is a very sensitive monitor of its structure, changes under microwave irradiation can be detected in real-time.
The enhanced form of the green fluorescent protein (EGFP) (BD Clontech, Mountain View, CA) was cloned into pDest17 vector (Invitrogen, Carlsbad, CA). The EGFP gene was cloned downstream to a 6×His affinity tag, so that the expressed protein contains six histidines at the N-terminal of the protein. The vector was expressed in Escherichia coli BL21 pLysS cells (Novagen, Merck Biosciences, Princeton, NJ), using standard induction condition procedures. This was done as follows: cells were grown to OD600=0.6 and induced with 0.4mM isopropyl-d-thiogalactopyranoside. The cells were then grown at 37°C and harvested after 16h. The cells pellet was dissolved in lysis buffer (50mM Tris-HCl, pH 8.0, 0.3MNaCl, 10mMMgSO4, 10mM imidazole, 10% glycerol, and 1mM PMSF) and lysed using an M-110EHI microfluidizer processor (Microfluidics, Newton, MA). The protein was affinity-purified on nickel-NTA beads (Qiagen, Hilden, Germany) columns, using the AKTA Explorer FPLC (Amersham Pharmacia Biotech, Uppsala, Sweden). The protein was eluted in 50mM Tris-HCl, pH 8.3, 0.3MNaCl containing 250mM imidazole, and dialyzed in 20mM Tris-HCl, pH 8.0, and 50mMNaCl at 4°C. The final concentration of the protein in solution was 0.84mg/ml.
The EGFP fluorescence was excited by a 488-nm Argon laser (Fig. 1). The laser beam is directed across a transparent 2-mm diameter glass pipette with the buffer solution containing the EGFP. The fluorescence is picked up with a collecting lens mounted at 45° with respect to the laser beam. The optical fiber connects the lens to a monochromator, which is followed by a photomultiplier and a photon counter. The fluctuations in the incident laser intensity are monitored by a reference photodetector.
To perform microwave irradiation we chose a localized microwave applicator. Its advantages over a conventional microwave cavity or microwave oven are: 1), the applicator and the sample are decoupled; 2), low and controllable microwave power can be used; and 3), only a small part of the sample can be irradiated. An additional advantage of our setup is that it is versatile and allows measurements at varying power/frequency in the continuous and pulse modes. For narrowband measurements we used a special 8.5GHz probe based on a narrow rectangular aperture microfabricated on the convex surface of the sapphire dielectric resonator 20. For the broadband measurements we used an unmatched coaxial tip.
The microwave probe is brought to the distance of 100μm above the glass pipette in such a way that the probe’s apex aims directly on to the laser-illuminated region. The operating frequency of the probe is 8.53GHz and the bandwidth in the presence of the sample is typically 0.3GHz. Under proper matching the reflectivity of the probe is <−20dB. The microwave energy is supplied from the HP-83623A synthesizer. In the absence of the sample, most of the input energy is dissipated in the probe while ≈10% of the input energy is radiated. At resonance, the microwave energy circulating in the probe is predominantly a reactive one. Since the probe is an open resonator, a considerable part of the reactive energy is concentrated in the near-field zone. When the sample is mounted there, it strongly absorbs the microwave energy. In comparison to an open waveguide, our probe allows for squeezing microwave radiation to the sub-wavelength size. Therefore, the irradiated volume is of submillimeter size. Since the wavelength of the 8.5GHz microwave radiation in free space is 3.5cm while the probe-sample distance is <0.25mm, the irradiated region is entirely within the near-field zone of our probe where the microwave electric field may be considered as static.
It should be noted that the solution temperature slightly rises under microwave irradiation. The temperature rise in the irradiated spot is a sensitive indicator of the microwave energy reaching the solution. We found ΔT≈3K for the microwave frequency corresponding to the resonance, and ΔT<0.1K when the microwave frequency is out of resonance of the probe. This indicates that the heating arises from the microwave absorption in solution rather than from the heat transfer through the air gap between the microwave probe and the pipette with solution.
To demonstrate the spatial distribution of the microwave electric field in probe-sample assembly we performed computer simulations using the ANSOFT HFSS solver (Ansoft, Pittsburgh, PA). We considered a simplified representation of our applicator which does not include matching elements and the coax-to-waveguide adaptor 20. The numerical model assumes a dielectrically filled circular metallic waveguide with the radius of 4mm terminated by the hemispherical metallized cap with a thin slot in the coating at the probe’s apex (Fig. 2). The slot is 100-μm wide and 5.8-mm long, the dielectric is sapphire, the incident power is 250mW, the resonance occurs at 10.2GHz and the radiation efficiency of the probe is 10%. The microwave electric field in the incident wave is oriented perpendicular to the slot. The sample is a long glass pipette (the outer diameter is 2mm; the wall thickness is 150μm, ɛglass=5.5−j 0.16) filled with aqueous solution, ɛsolution=65−j 32. We present our results, as it is accepted in the biological context, using specific absorption rate (SAR) which is proportional to
. Fig. 2 shows our numerical results. We observe that the spatial distribution of the microwave field in solution is nonuniform and the maximum SAR is achieved just beneath the probe. For the 250-mW input power (the maximum power used in our experiments) the maximum SAR is 4000W/kg.
At the next step we used ANSOFT e-physics software package (Ansoft) to simulate the temperature distribution corresponding to the SAR pattern shown in Fig. 2. The ambient temperature is 23°C, the thermal conductivities of air, solution, and glass are, correspondingly, kair=0.026W/K-m, ksolution=0.61W/K-m, and kglass=1.4W/K-m. Since the overall temperature rise is small, we neglected air convection and heat radiation. To achieve the model of reasonable size and computation time we choose the boundary conditions for the thermal model as having a constant temperature of
This constant temperature is set at the faces of the sufficiently large parallelepiped enclosing the probe-sample assembly. In particular, the constant temperature is set at the periphery of the rectangle shown in Fig. 3. We found that the thermal time constant of the setup is 19s. Fig. 3 shows the steady-state temperature distribution. The maximum temperature is achieved in the center of the pipette and just beneath the probe, as expected. The size of this hottest spot is 1.5–2mm and the temperature rise there is ΔT=3.5K (at 250mW input microwave power). Note that the heating of glass pipette is insignificant. This is consistent with our independent measurements 21,22.
To observe the temperature dependence of the EGFP fluorescence upon conventional heating and in the absence of microwave irradiation we heated the sample using either a water heat bath or a thermal resistor (Fig. 1). The temperature was measured by the thermocouple inserted into the close vicinity of the laser beam. Fig. 4 shows our results, which were not corrected for the self-absorbance. (Our independent measurements indicate that the temperature dependence of absorbance at the excitation wavelength is very weak and does not exceed 0.1%/K in the temperature range 23–40°C.) The fluorescence spectrum under 488-nm excitation is well approximated by two Lorentzians centered at ∼510nm and ∼540nm. Upon increasing the temperature the fluorescence decreases and the spectrum becomes red-shifted.
Fig. 5 displays the temperature dependence of the intensity and wavelength of the major fluorescence peak at 510nm. The intensity almost linearly decreases upon increasing temperature with the slope 0.8–0.85%/K. Peak position monotonously decreases with temperature (red-shift) with the slope Δλ/ΔT∼0.1nm/K. The decrease of the fluorescence with increasing temperature and the red-shift of ∼0.1nm/K are characteristic for the GFP 16,19. We obtained the same results in several subsequent heating/cooling cycles and did not observe irreversible changes. This is not surprising as the EGFP is a very stable protein with a high denaturation temperature of ∼80°C 23, while in the temperature range of interest (23–40°C), the irreversible changes in EGFP occur very slowly—at the timescale of several hours 19.
Although the EGFP fluorescence may depend on the pH value of the buffer solution, this factor is insignificant in our experiments. Indeed, in a separate experiment we measured the pH-value of our buffer solution and found that it drops from 8.3 at 24°C to 7.9 at 40°C. Since in this range of pH-values, the EGFP fluorescence is almost constant 19,24,25, the drop of fluorescence with temperature shown in Figure 4 and Figure 5 cannot be attributed to the variation in the pH of the solution.
At the next step we applied microwave irradiation and measured the fluorescence and the solution temperature simultaneously. Under CW microwave exposure at fixed frequency the fluorescence intensity is diminished and the spectrum is red-shifted (Fig. 6). When the microwave is turned off the spectrum recovers to its initial shape showing that the process is reversible. Qualitatively, this is similar to conventional heating (Fig. 4). However, microwave exposure has a larger influence on the fluorescence as will be presented throughout this work. Indeed, although Figure 4 and Figure 5 and Figure 6 look quite similar—in both cases ΔI ∼ 8%—the temperature rise in Fig. 6 is considerably lower than in Fig. 4 and the red-shift is also smaller.
What is the mechanism of the microwave-induced fluorescence change in EGFP? A considerable part of it arises from the heating of protein molecules through the thermal exchange with solution which strongly absorbs microwave energy. To quantify this trivial effect we measured the temperature of solution using a thermocouple. We found that under 250mW input power at 8.53GHz the temperature rise in the microwave-irradiated spot is ΔT∼3K. Basing on Fig. 5 we expect that this temperature rise would lead to a 3% decrease in the fluorescence intensity and to a red-shift of Δλ=0.3nm. However, we find from Fig. 6 that the fluorescence intensity decreases by >8% and the red-shift is Δλ=0.5nm.
Table 1 compares the changes of fluorescence under microwave irradiation and under conventional heating. Since under 250mW microwave exposure the solution temperature rises by ΔT=3K, we chose the same value for conventional heating as well. We calculated the intensity and red-shift corresponding to this ΔT from the Fig. 5. Table 1 shows that ∼40% of the total fluorescence decrease under microwave irradiation can be attributed to conventional heating due to microwave absorption in solution, while the residual 60% represents the specific microwave effect. We conclude that the microwave effect on EGFP fluorescence is qualitatively similar to heating (intensity decreases, red-shift appears), although quantitatively it is different. The microwave field has a larger effect on EGFP fluorescence than the heating that accompanies microwave irradiation. This is a central conclusion of our study.
The above conclusion crucially depends on the reliability of the solution temperature measurement under microwave irradiation. In this section we present several ways of measuring temperature rise in solution and analyze their limitations.
A small displacement of the thermocouple from the center of the microwave-irradiated spot may lead to the error. To address this point we performed temperature measurements under microwave irradiation at different locations of the thermocouple and found that at the distance of 1mm away from the radiating slot the temperature is almost the same as that in the irradiated spot. This is consistent with our computer simulations of the temperature distribution in the sample under microwave irradiation (Fig. 3) which shows that the maximum temperature is achieved in the 1.5×2mm spot, hence the thermocouple may be displaced by 1mm away from the laser beam.
Since the thermocouple is made of conducting wires, there is some possibility that it disturbs the microwave field in the sample. To estimate the temperature rise in solution under microwave irradiation and without using a thermocouple, we replaced the buffer solution with EGFP by the aqueous egg-white solution, which has very similar microwave and thermal properties. Since the egg-white irreversibly denaturates above 61°C it can be used as a temperature recorder, if in the process of heating the temperature elsewhere exceeds its denaturation point. We performed microwave irradiation in the geometry similar to Fig. 1 with the EGFP solution replaced by the egg-white and without laser beam. In this experiment our microwave applicator was fed using a Litton TWT power amplifier (Litton, Woodland Hills, CA). The ambient temperature is 23°C. When the input microwave power is below 5W, the egg-white remains transparent even at prolonged exposure. When the input power exceeds 5W, we observe a white opaque spot in the irradiated area. We conclude that the maximal temperature rise under Pin=5W is ΔT=61–23=38K. Since ΔT∝P (in the absence of phase transitions in the sample), we estimate that the maximum temperature rise under much smaller input power of Pin=250mW is only ΔT=1.9K. Table 2 compares this estimate to the results of computer simulations and direct measurements with the thermocouple. All three methods agree well.
To further test our temperature measurements, we measured the temperature in the whole microwave-irradiated spot simultaneously using a liquid crystal indicator and a different setup (Fig. 7). Specifically, we took a thin sheet of commercial cholesteric liquid crystal indicator which changes its color when its temperature exceeds 25°C; we put a drop of the EGFP solution on it; and monitored the changes of color of the indicator under microwave irradiation. In such a way we can characterize the temperature distribution in the EGFP layer under localized microwave irradiation. This was also done without laser illumination.
At first we verified that at an ambient temperature of 24°C and under 250mW microwave irradiation, the color of the indicator without EGFP solution does not change. This means that the microwave absorption in the indicator itself is insignificant. We then placed a small transparent drop of EGFP solution (0.2mm thickness, the radius of ∼1cm) on this indicator and irradiated it from the backside using our microwave applicator. If the temperature elsewhere exceeds 25°C we should see there a bright spot. We observed the following: at small incident microwave power (160mW) the indicator color does not change (Figure 8b). This means that the temperature rise does not exceed 1K at any location. At higher incident power (200mW) we observe a bright circular spot centered just above the applicator, as expected (Figure 8c). The rim of this spot indicates the region where the temperature is 25°C while the temperature inside the encircled area is higher. When we apply a higher incident power of 250mW, the spot becomes wider (Figure 8d) indicating the temperature increase in the inner area of the spot. The maximal temperature is achieved in the center of the spot, namely, at the region closest to the applicators apex.
At the next step we performed a similar experiment using a different liquid crystal indicator sensitive to temperature variation in the range 30–35°C. We did not observe any change in color even using our maximal microwave power of 250mW. This means that the temperature in the EGFP drop at maximum incident microwave power nowhere exceeds 30°C. In other words, under 250mW input power the temperature rise in the hottest spot is at least 1K and is certainly <6K (in fact it can be even lower, but the relatively low temperature resolution of the liquid crystal indicator does not allow to yield better estimate). This is consistent with other measurements (Table 2).
Having verified the microwave heating effects, we studied the microwave effect on the EGFP fluorescence in more details. We applied microwave irradiation at a selected input power and observed the corresponding fluorescence decay at fixed wavelength of 510nm, which corresponds to the peak of the fluorescence spectrum (Fig. 4). Then we turned the microwave off and observed the corresponding recovery. This sequence was performed at different microwave power levels as shown in Fig. 9. The fluorescence decreases upon microwave irradiation and returns back to its original level after the irradiation is turned off, i.e., the process is reversible. The fall and rise time, taken at half-height of the fluorescence decay, is t1/2=22s and does not depend on microwave power, whereas the steady-state fluorescence intensity linearly depends on microwave power. We also measured the corresponding change of temperature (not shown here) and found that the time constant for the temperature rise/drop occurred more or less on the same timescale, 22s. This agrees well with the results of computer simulations (see text above), which yield 19s. Incidentally, this timescale is close to the characteristic GFP folding/unfolding time under the action of chemical denaturants 26. It is also close to the characteristic time of photobleaching 27.
Fig. 9 also shows that the microwave effect is quite repeatable—we performed a series of experiments at varying microwave power from 250mW to 20mW and then returned back to the initial microwave power of 250mW. The fluorescence decrease in the steady state in both runs with 250mW irradiation is actually the same, 12±1%. It should be noted, however, that in the long run the microwave effect on fluorescence decreases with time due to sample degradation. However, this occurs on the much longer timescale on the order of weeks.
In a different experiment we varied the incident microwave power in steps of 0.1dBm (the dwell time is 2s) and observed the corresponding changes in the fluorescence intensity at fixed wavelength λ=510nm. These measurements were done without thermocouple. If we disregard the results obtained at very small microwave power, we find that the fluorescence intensity linearly decreases with increasing microwave power and that this short-term dependence is almost reversible.
Immediately after this, and using the same measurement configuration, a thermocouple was inserted into the solution. We repeated the whole cycle and measured the temperature in the near vicinity of the microwave irradiated spot (Fig. 11). The temperature increases linearly with increasing microwave power and shows a small lag as the microwave power is decreased. Note that under maximum microwave power (250mW) the temperature rise in the irradiated spot does not exceed 3K. According to what we observe in Fig. 5, this could only produce a 3% decrease in fluorescence, although we did observe a much larger decrease at 12–14% (Fig. 10). This shows again that the microwave effect on fluorescence is not due to heating alone.
The difference between fluorescence changes arising directly from microwave irradiation and indirectly through microwave heating of the solution, can be seen in Fig. 10. Indeed, the solution temperature rise under microwave irradiation estimated from the Fig. 11 is linear in microwave power, ΔT/ΔP=12–16K/W. Fig. 5 shows that the intensity of the fluorescence peak decreases with temperature almost linearly, ΔI/ΔT=0.8–0.85%/K. Due to the red-shift, the fluorescence decrease at fixed wavelength (510nm) is stronger, ΔI510/ΔT=1.08–1.13%/K. Therefore, the expected decrease of fluorescence at 510nm, arising from microwave heating of solution, is ΔI/ΔP=13–18%/W. The crosses in Fig. 10 show expected decrease in fluorescence arising from the heating of solution. It is clearly seen that the observed microwave effect (solid and open circles) is larger and statistically different from microwave heating alone.
Following earlier works indicating the possible difference between the pulse and cw-microwave radiation 28, we studied the change of fluorescence under pulsed microwave irradiation. The pulse width is 1μs, the pulse period varied from 2 to 10μs. The microwave effect on the EGFP fluorescence decreases with increasing duty cycle (Fig. 12). We did not observe any unique effect related to the pulsed exposure as compared to the CW exposure, although at small pulsed microwave power, no effect on fluorescence has been detected.
To explore the dependence on microwave frequency, we performed similar experiments using another near-field microwave applicator: a 6.5-mm long tip protruding from a semirigid coaxial cable. In comparison to our slot-based applicator, this one is less effective and unmatched, although it allows for broadband measurements. In what follows we report our initial studies with this unmatched antenna. We irradiated the sample using 250mW incident power and varied the microwave frequency from 250MHz to 20GHz in steps of 50MHz and a dwell-time of 10s at each step. We observed the microwave effect on the temperature and on the fluorescence simultaneously (Fig. 13). Note that the dwell time at each frequency is small compared to characteristic fluorescence decay/recovery time (22s); hence, our results show only a qualitative picture.
Under microwave irradiation with this coaxial antenna the fluorescence decreases and the temperature of the EGFP solution rises (Fig. 13). Note that both dependences are qualitatively similar. The oscillations with 1.1GHz period arise from the standing waves in the antenna-feeding cable assembly. The maximum microwave effect on fluorescence is observed at 10–20GHz. This frequency range is determined by the efficiency of the antenna and by the frequency-dependent microwave absorption in the solution.
Fig. 13 yields that the ratio between the change in fluorescence and the temperature rise is ΔI/ΔT∼2–3 (%/K). This is also similar to our results presented in Table 1 and indicates that the microwave effect does not depend on the applicator type. Again, this result should be compared to that of conventional heating, which amounts to ΔI/ΔT∼1%/K. It seems that ΔI/ΔT is higher at lower microwave frequencies. The exact value of this ratio varies from sample to sample and decreases as the sample ages.
At the present time we do not have a clear understanding why microwave heating and conventional heating affect the EGFP fluorescence differently. In what follows we discuss several possible scenarios.
A recent overview by Hoz et al. 29 thoroughly discusses possible effects of microwave irradiation on organic molecules. The significant heating of biomolecules through the resonance excitation seems to be excluded. Indeed, although theoretical estimates indicate that there are mechanical resonances of long biomolecules in the gigahertz region 30, it has been shown that for the molecules in solution these vibrations are strongly damped 8.
Since the SAR of different molecules is not the same 31, one can conceive that there might be some temperature difference between the biomolecule and solvent. However, detailed calculations show that the thermal gradient across the biomolecule is insignificant. Indeed, the maximum steady-state temperature difference between the microwave absorbing sphere and the solution is 32
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Since microwave irradiation is inhomogeneous and there is a thermal gradient (Fig. 3), we have to consider thermodiffusion. Indeed under inhomogeneous heating there is a thermal gradient which leads to the gradient of the EGFP concentration and to accompanying change in fluorescence. In the steady state,
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Diffusion of fluorescing molecules should not affect our results. Indeed, the characteristic time for diffusion is l2/D, where l is the spatial scale of the experiment. Jena and Bloomfield 35 measured diffusion coefficient of EGFP in low viscosity solution and found DGFP∼200μm2/s. The spatial scale in our experiments is set by the overlap of the laser-irradiated region and the microwave-irradiated region (0.5mm). The size of the hot-spot is on the order of 1mm (Figure 2 and Figure 3). This yields the characteristic diffusion time tdiff∼103s, which considerably exceeds the characteristic time of our experiments (22s).
The specific microwave effect that we observe here may be somehow related to microwave absorption by the water molecules attached to the EGFP barrel. Indeed, in the folded state, the EGFP contains several water molecules, which stretch from the chromophore to the barrel, as well as the layer of bound water attached to the outer surface of the barrel. The absorption band of the bound water lies at lower microwave frequencies, 1–15GHz 36,37, as compared to the 19GHz absorption band of pure water at room temperature. Since the frequency of our slot-based applicator is 8.53GHz, we are closer to the absorption band of bound water than to the absorption of free water. Therefore, the bound water attached to the EGFP barrel is heated more efficiently as compared to the ambient solution. This selective heating of bound water may lead to minute conformational changes in the EGFP molecule which affect its fluorescence. The reverse effect—the change in microwave absorption of bound water under conformational changes in the biomolecule—has been reported recently 38. (Although Taylor and van der Weide 38 used the dielectric relaxation of bound water as a reporter of conformational changes in the biomolecule and did not find the effect of microwave power, it should be noted that the maximum input microwave power in their experiments—1.8mW—is small compared to the input power of 250mW used in our setup.)
Another candidate for the specific microwave effect in EGFP might be photochemistry, which is well documented for this compound 17,39. If there is intermediate polar state or charge transfer during photochemical reaction in EGFP, the microwave can affect it 29.
An alternative route for specific microwave effect on EGFP fluorescence in solution might be the orienting effect of the microwave electric field. Indeed under polarized excitation, the fluorescence anisotropy of the aqueous GFP solution is rather strong 12. This leads to the anisotropy of the fluorescence intensity. Microwave electric field can orient fluorescing molecules and thus it can affect the fluorescence intensity in a certain direction. Presently we are verifying this hypothesis.
We report on a specific microwave effect on the fluorescence of the EGFP molecules in solution, which is distinguishable from conventional heating. The effect of microwave exposure on the fluorescence is stronger than that expected from thermal physics considerations.
As this study is performed at microwave energies well above the standard exposure limits, it cannot be directly associated with health hazards pertinent to common mobile communication devices. However, our finding that the microwave effect is not identical to conventional heating points to enhanced localized effects that cannot be detected using conventional thermometry, and which should be taken into consideration, especially for biological media containing proteins with similar structure to EGFP.
We are grateful to Nathalie Balaban for the help with GFP handling, and to Tsafi Danieli and her group, Mario Lebendiker, and Benjamin Aroeti, for guiding us in EGFP preparation. We owe many thanks to Yuri Feldman, Noam Agmon, and Dan Huppert for many fruitful discussions and suggestions. We are grateful to Fadi Sakran, Oleg Popov, and Roy Ziblat for the help in experiments.
A.C. thanks the Israeli Ministry of Science and the Deutschen Forschungsgemeinschaft for the support. We are grateful to the Forschungsgemeinschaft Funk for giving us the possibility of presenting our results in the COST-281 meeting in Stuttgart. We are grateful to the participants of this meeting for the interest in our work and for the constructive critical remarks and suggestions.
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