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The Racah Institute of Physics, The Hebrew University of Jerusalem, Jerusalem, Israel
Correspondence: 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; E-mail: copty{at}vms.huji.ac.il.
| ABSTRACT |
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| INTRODUCTION |
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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 ß-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 10.4 GHz microwave radiation; Mancinelli et al. (5
) have demonstrated slower refolding kinetics of tuna myoglobin protein due to prolonged exposure at 1.95 GHz 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 ß-sheets connected to
-helical stretches. One of these stretches extends to the interior of the ß-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 ß-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 temperature60%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
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.
| PROTEIN PREPARATION |
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| EXPERIMENTAL SETUP |
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The microwave probe is brought to the distance of 100 µm 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 8.53 GHz and the bandwidth in the presence of the sample is typically 0.3 GHz. Under proper matching the reflectivity of the probe is <20 dB. 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 8.5 GHz microwave radiation in free space is 3.5 cm while the probe-sample distance is <0.25 mm, 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
T
3 K for the microwave frequency corresponding to the resonance, and
T < 0.1 K 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.
| COMPUTER SIMULATIONS |
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glass = 5.5 j 0.16) filled with aqueous solution,
solution = 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 4000 W/kg.
|
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 19 s. 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 1.52 mm and the temperature rise there is
T = 3.5 K (at 250 mW input microwave power). Note that the heating of glass pipette is insignificant. This is consistent with our independent measurements (21
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| EXPERIMENTAL RESULTS |
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510 nm and
540 nm. Upon increasing the temperature the fluorescence decreases and the spectrum becomes red-shifted.
|

/
T
0.1 nm/K. The decrease of the fluorescence with increasing temperature and the red-shift of
0.1 nm/K are characteristic for the GFP (16
80°C (23
|
EGFP fluorescence under microwave irradiation
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 Figs. 4 and 6 look quite similarin both cases
I
8%the temperature rise in Fig. 6 is considerably lower than in Fig. 4 and the red-shift is also smaller.
|
T
3 K. 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 
= 0.3 nm. However, we find from Fig. 6 that the fluorescence intensity decreases by >8% and the red-shift is 
= 0.5 nm.
Table 1 compares the changes of fluorescence under microwave irradiation and under conventional heating. Since under 250 mW microwave exposure the solution temperature rises by
T = 3 K, we chose the same value for conventional heating as well. We calculated the intensity and red-shift corresponding to this
T 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.
|
Thermocouple location
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 1 mm 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 x 2 mm spot, hence the thermocouple may be displaced by 1 mm away from the laser beam.
Comparison of the microwave effect on EGFP and on the egg-white
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 5 W, the egg-white remains transparent even at prolonged exposure. When the input power exceeds 5 W, we observe a white opaque spot in the irradiated area. We conclude that the maximal temperature rise under Pin = 5 W is
T = 6123 = 38 K. Since
T
P (in the absence of phase transitions in the sample), we estimate that the maximum temperature rise under much smaller input power of Pin = 250 mW is only
T = 1.9 K. Table 2 compares this estimate to the results of computer simulations and direct measurements with the thermocouple. All three methods agree well.
|
|
1 cm) 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 (160 mW) the indicator color does not change (Fig. 8 b). This means that the temperature rise does not exceed 1 K at any location. At higher incident power (200 mW) we observe a bright circular spot centered just above the applicator, as expected (Fig. 8 c). 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 250 mW, the spot becomes wider (Fig. 8 d) 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.
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| DEPENDENCE ON MICROWAVE POWER |
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In a different experiment we varied the incident microwave power in steps of 0.1 dBm (the dwell time is 2 s) and observed the corresponding changes in the fluorescence intensity at fixed wavelength
= 510 nm. 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 (250 mW) the temperature rise in the irradiated spot does not exceed 3 K. 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 1214% (Fig. 10). This shows again that the microwave effect on fluorescence is not due to heating alone.
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T/
P = 1216 K/W. Fig. 5 shows that the intensity of the fluorescence peak decreases with temperature almost linearly,
I/
T = 0.80.85%/K. Due to the red-shift, the fluorescence decrease at fixed wavelength (510 nm) is stronger,
I510/
T = 1.081.13%/K. Therefore, the expected decrease of fluorescence at 510 nm, arising from microwave heating of solution, is
I/
P = 1318%/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 1 µs, the pulse period varied from 2 to 10 µs. 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.
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| DEPENDENCE ON MICROWAVE FREQUENCY |
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Fig. 13 yields that the ratio between the change in fluorescence and the temperature rise is
I/
T
23 (%/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
I/
T
1%/K. It seems that
I/
T is higher at lower microwave frequencies. The exact value of this ratio varies from sample to sample and decreases as the sample ages.
| DISCUSSION |
|---|
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
)
![]() | (1) |
= a2/2
is the thermal response time of the sphere, a is the radius of the sphere,
is the thermal diffusivity of the sphere, q is the volumetric heating,
is the solution density, and cp is the specific heat of the solution. Assuming that the protein molecule is a sphere of a
1.2 nm (12
= 1.43 x 107 m2/s, we find
= 5 ps. In our experimental conditions q = 4 x 107 W/m3,
= 1000 kg/m3, and cp = 4 x 103 J/kg K. We find then
T = 5 x 1011 K. Clearly such a small temperature gradient cannot account for our results. If we take into account that the heat exchange of the EGFP chromophore with the surrounding media is closer to one-dimensional, then the time constant in Eq. 1 is longer than 5 ps. The fluorescence decay after short pulse excitation (33
= 1 ns into Eq. 1 and find
T = 108 K. This value is still very small to yield observable effects. Therefore significant thermal gradients at the molecular level are highly improbable in our experiments.
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,
![]() | (2) |

a) as ST =1/T (34
is the solvent viscosity, and a is the radius of the EGFP molecule. Since we use the buffer solution with low concentration of glycerole (10%), its viscosity is small
= 1.3 cP. Therefore, we substitute
T = 3 K and ST = 1/300 K1 into Eq. 2 and find
I = 1%. This is only a small part of the observed fluorescence drop under microwave irradiation (Fig. 10).
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
200 µm2/s. The spatial scale in our experiments is set by the overlap of the laser-irradiated region and the microwave-irradiated region (0.5 mm). The size of the hot-spot is on the order of 1 mm (Figs. 2 and 3). This yields the characteristic diffusion time tdiff
103 s, which considerably exceeds the characteristic time of our experiments (22 s).
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, 115 GHz (36
,37
), as compared to the 19 GHz absorption band of pure water at room temperature. Since the frequency of our slot-based applicator is 8.53 GHz, 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 effectthe change in microwave absorption of bound water under conformational changes in the biomoleculehas 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 experiments1.8 mWis small compared to the input power of 250 mW 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.
| CONCLUSIONS |
|---|
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.
| ACKNOWLEDGEMENTS |
|---|
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.
Submitted on March 3, 2006; accepted for publication May 4, 2006.
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