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Imaging cancer with photoacoustic radar

MAY 01, 2017
An 80-year-old technology best known for locating planes in the sky is inspiring new methods to spot tumors before they become malignant.

DOI: 10.1063/PT.3.3554

Cancer is a classic example of a disease that must be diagnosed early to be effectively treated or cured. Responsible for one in every four American deaths, it is the second leading cause of death in the US and a major health problem worldwide. Technological advancement, increased cancer awareness, and an aging, increasingly susceptible population have spurred the development of a host of early detection modalities, including magnetic resonance imaging, ultrasound, positron emission tomography, x-ray imaging, and optical—or biophotonic—imaging. Yet current diagnostic imaging technologies are too complex and expensive for widespread use, expose patients to hazardous radiation, or aren’t sensitive enough to detect nascent tumors.

In the past decade, photoacoustic (PA) imaging, in which subsurface tissue is excited with light and then imaged with ultrasound, has emerged as a promising complement to those technologies. It lacks the hazardous high magnetic fields of MRI and the ionizing radiation of x-ray imaging and positron emission tomography; it can image several centimeters beneath the skin, well below the millimeter depths typical of purely optical methods such as optical coherence tomography; and it can distinguish between blood-rich tumors and normal tissue with a contrast of up to 450%—better than clinical ultrasound, MRI, and x-ray mammography. 1 , 2 (Contrast is the ability to differentiate between a feature and its surroundings, whereas resolution is the ability to differentiate between two closely spaced features.) No other imaging technology in use today is more sensitive to the presence of angiogenetic tumors—those that develop blood vessels to feed their growth.

PA imaging is not without its limitations, however. It lacks the spatial resolution and sensitivity of MRI. And it is largely reliant on bulky, expensive pulsed lasers marked by low pulse-repetition frequency—traits that could limit both its availability in remote communities and its use in clinical settings, which require real-time image generation.

A recent variation of PA imaging, currently in the preclinical phase, mitigates some of those shortcomings. Known as photoacoustic radar (PAR) imaging, it allows one to achieve resolution, contrast, and depth penetration similar to that of conventional PA imaging, except using inexpensive, continuous-wave diode lasers. The newly developed method draws inspiration from an unlikely source: the same technology used to track storms, detect missiles, and locate planes in the sky.

Getting under the skin

Biological tissue is notoriously difficult to image. It is profusely scattering and largely impenetrable by visible light. To make matters worse, optical imaging requires that photons complete a round–trip through the turbid medium, first into the tissue and then out to the detector, at the cost of heavy attenuation and loss of resolution. Imaging in the IR is no easier given that water, the primary component of living tissue, absorbs strongly in that waveband.

PA imaging largely skirts those problems by generating images by way of an optical-to-ultrasonic energy-conversion process. A light-absorbing feature—say, blood hemoglobin or bone—absorbs photons, heats, and thermoelastically expands, thereby launching ultrasonic waves. Those waves can then be detected by transducers not unlike the ceramic devices used to collect ultrasonic images of a beating heart or a developing fetus. As a result, photons need only survive a one-way trip into the tissue sample; the return leg is performed by phonons, which are less susceptible to attenuation.

Because the ultrasonic signals are generated only in response to absorption events, resolution isn’t diminished by optical scattering. High signal-to-noise ratios can therefore be achieved by confining the PA excitation wavelengths to a so-called optical window, between 650 nm and 900 nm, in which light is strongly scattered but weakly absorbed. In that window, signal baselines remain low—at the instrumentation noise level—even as the laser field is intensified to strengthen the signal. The technique therefore exhibits good signal dynamic range; that is, it can detect signals over a large range of amplitudes spanning as much as 10 orders of magnitude.

By encoding optical contrast into ultrasound waves, PA imaging achieves contrast comparable to optical imaging, at far greater penetration depths, and spatial resolution comparable to ultrasound imaging. At the same time, the technique’s spectroscopic nature allows significantly higher specificity than conventional ultrasonic imaging.

Figure 1 includes a PA image of a rat’s brain, taken through the animal’s intact skull, along with a photograph taken after the skull was removed. Here, blood hemoglobin is the main light absorber, or chromophore, mediating light-to-ultrasound conversion. The PA image captures not only the coarse vascular structure of the cortex but also a 4-mm-long lesion on the right outer layer of the two cerebral hemispheres of the rat’s brain.

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Figure 1. Photoacoustic tomography can be used to noninvasively image tissue deep beneath the skin of rats and other mammals. (a) In typical setups, a laser pulse irradiates a submerged target; blood hemoglobin and other chromophores in the biological tissue absorb laser light, thermoelastically expand, and generate ultrasound echo pulses; and an ultrasound transducer detects the echoes with delay times and phases that depend on the precise locations of the chromophores and the positioning of the transducer. (b) A 1-megapixel photoacoustic tomography image of a rat’s cerebral cortex—taken with the skin and skull intact—shows the same vasculature and superficial lesion as (c) a photograph taken after the skull was removed. (Adapted from X. Wang et al., Nat. Biotechnol. 21, 803, 2003, doi:10.1038/nbt839 .)

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The PA image was obtained using a Q-switched, pulsed neodymium-doped yttrium aluminum garnet laser operating at 532 nm. (Although that wavelength lies outside the optical window, it nevertheless provides good penetrability through the skull.) Such lasers, with peak powers on the order of megawatts, are typical in PA imaging and are often combined with an optical parametric oscillator for wavelength tuning. They are preferred due to their high energy content and excellent signal-to-noise ratios, and their wavelength tunability allows for multispectral imaging. Pulse durations of Q-switched lasers are often less than 10 ns, short enough that one can safely ignore the effects of heat and stress diffusion on the thermoelastic energy-conversion process. The resulting reconstructed image can therefore be interpreted as a replica of the tissue’s optical absorption profile.

Although the durations of Q-switched laser pulses are short, the repetition rates are slow, typically 10–20 Hz. That cadence usually means only two or three scanned PA images can be generated per minute. That’s a major drawback in clinical settings, where in vivo imaging requires rates of roughly 20 images per second. 3 Recently, several groups have developed transducer-array-based cylindrical scanners that provide two-dimensional images at real-time frame rates. 4 Also, pulsed fiber lasers with kilohertz repetition rates, millijoule pulse energies, and pulse durations of 10–220 ns have become available commercially. 5 The fiber lasers can provide average powers of around 20 W and, because of their high beam quality, can produce PA images with lateral spatial resolution of less than 10 µm using pulse energies of just a few tens of microjoules—a safe exposure according to Laser Institute of America standards. 6

What’s old is new

A promising adaptation of PA imaging borrows from the principles and technology of radar. The word “radar” was originally an acronym, for radio detection and ranging, but the technology has become so widespread in the 80 years since it was introduced that much like “laser,” it is now a standard English noun. 7 Ultrasonic radars, used mainly underwater, have come to be known as sonars, for sound navigation and ranging.

The physical principles underlying radar are simple and are conveniently illustrated in the ultrasound case: A transmitter emits acoustic energy, some of which reflects off a target and returns as an echo to the source location, where it is picked up by a transducer array, hydrophone, or some other receiver. If the speed of propagation of the acoustic wave field is known, one can estimate the distance and the direction of the target based on the time τ elapsed between the emission of the signal and the arrival of the echo.

If the signal is a simple pulse, the technique closely parallels conventional PA imaging—except that in PA imaging, an optical signal returns as an acoustic echo. However, many radar and sonar technologies, such as early warning radar and radar altimeters used to guide landing aircraft, use continuous-wave sources with special modulation patterns involving multifrequency waveforms. Modulation strategies include signal phase manipulation, waveform-engineered pulses, and binary phase coding. 8 One can cross-correlate the detected ultrasound with the modulated signal to identify the true signal echo and the location of the target. That cross-correlation, or matched filtering, vastly increases the signal-to-noise ratio. (See the box on page 47.)

Box. Matched filtering and pulse compression

Conventional photoacoustic imaging uses powerful lasers to locate light-absorbing structures in soft biological tissue by detecting the delay time τ between the emission of a pulsed optical signal V0(t) and the detection of its ultrasonic echo. By encoding the signal with frequency modulations and using a cross-correlation to identify its echo, one can achieve similar resolution with weaker, longer pulses. In radar terminology, the approach is known as matched filtering.

The cross-correlation function B(t τ) of the photoacoustic pressure response recorded by an ultrasonic transducer is expressed in frequency-domain signal representation as B(t τ) = 1 2π | V~ 0 ( ω ) | 2 e i ω ( t τ ) dω .

The highest signal-to-noise ratio is achieved for time t = τ such that the filter frequency response H(ω) is equal to V~0*(ω)eiωτ, where V~0(ω) is the signal spectrum, and the tilde denotes the Fourier transform. 7 In essence, the matched filter adjusts phases of individual frequency components, which results in a tall, narrow spike in B at time t = τ.

A simple example of an encoded waveform is a linear frequency-swept modulation (LFM) pattern called a chirp, in which angular frequency gradually shifts from some starting value ω1 to an ending value ω2. In photoacoustic radar (PAR) imaging, the ultrasound response to a chirped signal of duration Tch is compressed to a narrow peak by delaying different frequency components by times controlled by the modulation pattern (pulse compression).

The width of the chirp’s autocorrelation function A(t) serves as a measure of the axial resolution of the PAR system; the narrower the autocorrelation function, the higher the axial resolution. For a chirped signal, that autocorrelation function can be derived analytically: 16 A (t) = 12 S 0 2 T ch 2 π m ( t τ ) sin [ π m ( t τ ) T ch ( 1 ( t τ ) T ch ) ] cos [ ω 0 ( t τ ) ] , where S0 is the signal amplitude; ω0 = (ω1 ω2)/2 is the chirp’s central modulation angular frequency; and m = bTch2/2π is the time–bandwidth product, where b is the frequency sweep rate. In an ideal matched filter, the gain factor in the signal-to-noise ratio is equal to m.

The figure shows the autocorrelation function 17 for two identical LFM chirps (shown in the top right corner) having Tch = 1 ms, ω1 = 1 MHz, ω2 = 5 MHz, and time delay τ = 13.3 µs. (The y-axis values are normalized with respect to the peak amplitude.) The time–bandwidth product m is approximately 4000, which gives an amplitude gain of about 63 and effectively compresses the pulse length to 250 ns. That pulse compression is a characteristic property of radars; the PAR response to a phase-encoded signal with a given effective pulse length is roughly equivalent to the conventional response to a noncoded pulse of the same duration. To obtain a pressure response that maps directly to the absorption profile of a subsurface light absorber, the effective pulse length must be shorter than the thermal and stress confinement times, which, for spatial resolution of 0.4 mm in soft tissue, are 0.29 s and 268 ns, respectively. 18 Together, matched filtering and pulse compression improve the signal-to-noise ratio in photoacoustic radars by approximately three orders of magnitude.

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For 20th-century radar technologists, continuous-wave radar offered a strategic advantage: It made radar cheaper, less complicated to manufacture and operate, more compact, and portable. Applied to photoacoustic imaging, it has a similar upside. It allows one to achieve resolutions comparable to those of conventional PA imaging using signals that are more than three orders of magnitude weaker. 9 Submillimeter axial resolution—or range resolution, as it’s known in radar terminology—can be obtained with compact diode lasers having peak powers of 20 W or less compared with the megawatt outputs required of conventional PA imaging.

The cross-correlation processing greatly suppresses baseline noise and improves on PA imaging’s dynamic range. Noise due to tissue-scattered photons impinging on the transducer is largely absent from the PA radar response, because such an event would show up in cross-correlation with a delay time of τ = 0, well ahead of any cross-correlation peaks caused by genuine subsurface chromophore responses.

A major advantage of the frequency-domain character of the PAR signal is that the cross-correlation function B(t τ) is complex. From the function’s spatial distribution, one can reconstruct two images: an amplitude image (from the sum of the squares of the real and imaginary parts) that maps the magnitude of ultrasonic-wave generation and a phase image (from the ratio of the imaginary and real parts) related to the depth of the ultrasound-generating features. The phase image often yields superior resolution and higher localization of subsurface features.

Another practical advantage of the frequency-domain character of PAR imaging is that image reconstruction can be done by algorithms similar to those of conventional clinical ultrasonic imagers. That adaptability simplifies the integration of PAR technology with commercial ultrasound systems. It also facilitates the coregistration, or superposition, of functional PAR images with ultrasound images. A PAR image showing, say, the presence of blood in a region or organ can be superimposed on an ultrasound image showing underlying structure to provide better spatial context and to more clearly delineate the boundaries of the blood-rich region.

However, the PAR technique isn’t immune to scattering. Above 5 MHz, ultrasound strongly attenuates in soft tissue, and therefore PAR imaging deeper than 1–2 cm can be performed only with modulation frequencies in the range of 1–5 MHz. Those frequencies produce relatively low resolution compared with high-frequency, near-surface PA applications and those that use multitransducer array detectors. Still, the image quality, spatial resolution, and contrast are comparable to those of similarly deep subsurface images produced with MRI and with pulsed-laser PA imagers such as the Twente Photoacoustic Mammoscope at the University of Twente in Enschede, the Netherlands. 10

Image reconstruction

The signal processing used to convert ultrasound transducer data into a PAR image is based on popular tomographic imaging methods. 11 It involves three steps. First, signal data are collected from the transducer array in a back-propagating, line-scanned signal collection procedure (B-mode) and stored in a computer memory. The array may be a single transducer scanned tomographically around the laser illuminated object or a collection of several transducers. Second, the complex-valued cross-correlation function Bi(t τ) is computed for each element i of the transducer array using the Fourier transforms of the transducer signal V~i(ω) and the reference signal V~r(ω) = V~0*(ω)eiωτ. The third step is B-mode image reconstruction: An image is reconstructed from the transducer data by forming multiple receiving beams and electronically steering them over the area of interest. That last, beamforming step is used to correct for differences in the signal’s arrival time at the various transducer-array elements. It is necessary to accurately reconstruct the geometry of the subsurface absorber.

An experimental setup for PAR imaging of small animals is shown schematically in figure 2. Both the laser-illuminated sample and the transducer array must be submerged in water for good ultrasonic coupling. The resulting PAR image reconstructions look very much like the angularly swept radar images familiar from weather maps, prenatal sonograms, and airport radar screens.

PTO.v70.i5.42_1.f2.jpg

Figure 2. Photoacoustic radar tomography generates high-quality images with inexpensive diode lasers by encoding the laser signals. Typically, a waveform generator converts the output of a continuous-wave diode laser into a frequency-modulated signal, which is then delivered to a submerged biological sample, say, of mouse tissue. The ultrasonic echo generated by light-absorbing elements within the tissue is detected by a transducer array and digitized. A cross-correlation process is then used to extract the signal from the noise and compute the delay time. From the amplitude, phase, and delay time, one can reconstruct the subsurface structure. The resulting images recall the familiar sights of weather maps, prenatal sonograms, and airport radar screens. (Adapted from ref. 15; image at right by Sean Choi.)

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Figure 3 shows coregistered ultrasonic and PAR images of the thigh of a mouse that was injected with cancer cells. The ultrasonic image shows the general tissue structure near a suspected tumor, and the PAR image shows an excess of blood that confirms the presence of an angiogenetic tumor. One can gauge the tumor’s spatial extent by locating it relative to the skin surface and other body parts. The image demonstrates the complementary nature of PAR and ultrasound imaging and their potential to more completely localize and identify light-absorbing features and surrounding tissues.

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Figure 3. An ultrasonic image (black and white) of the left thigh of a mouse injected with cancer cells is superimposed with a phase-filtered photoacoustic radar image (pink) of the same specimen. The inset shows regions of high blood content indicative of a developing tumor. (Adapted from ref. 15.)

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Multispectral imaging

If the spectral characteristics of the various chromophores in a tissue sample are known, one can use multispectral PA imaging to obtain spatially resolved quantitative functional information. The optical energy absorbed by a subsurface chromophore is assumed to be proportional to the product of its wavelength-dependent absorption coefficient and the energy content, or fluence, of the arriving laser pulse. That pulse, however, must pass through an overlying layer of scattering tissues and organs. Therefore, the accuracy of multispectral PA imaging is generally limited by uncertainties in the laser fluence delivered to the intended target. A recent adaptation of PAR imaging helps eliminate the effects of those uncertainties by constructing differential images created from signals of different wavelengths.

Consider, for example, the imaging of angiogenetic tumors in mice. The rapid development of a dense microvascular network in such tumors induces hypoxia, a fall in oxygenation levels. Because the oxygenated and deoxygenated forms of hemoglobin have different absorption spectra, one can determine their relative concentrations from the wavelength dependence of PAR response functions. The two forms’ molar extinction coefficients coincide at 808 nm, the so-called isosbestic point, but reach their maximum difference at 680 nm. So the PAR response shows maximum sensitivity to blood-oxygen concentration at 680 nm and virtually no sensitivity at 808 nm.

Figure 4 shows two methods for exploiting those spectral differences to enhance contrast in images of a mouse injected with a type of human carcinoma cell known as a squamous cell, for its resemblance to a fish scale. 12 The image in figure 4a was generated by subtracting two separate PAR amplitude images—one taken at 680 nm and the other at 808 nm. (The procedure is equivalent to typical methods used in multispectral PA imaging. 13 ) Oxygen levels are conventionally represented as [SO2], the ratio of oxygenated hemoglobin to total hemoglobin. A ratio of 92% is typical of healthy tissue; values significantly lower than that are shown in red in the figure and are suggestive of hypoxia, a hallmark of malignancy.

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Figure 4. Multispectral imaging of blood-oxygen levels in a mouse’s thigh reveals hypoxia—depleted oxygen levels—indicative of a malignant subsurface tumor. In amplitude images obtained (a) by subtracting two images of different wavelengths and (b) by wavelength-modulated differential photoacoustic radar (WM-DPAR), noise due to inhomogeneous laser fluence masks the tumor’s location. (Blue and red regions indicate oxygen-rich and oxygen-poor tissue, respectively.) In the corresponding phase-filtered images, (c) and (d), the laser-fluence contribution is normalized out, and the hypoxic tumor is clearly visible in the right half of the image. (Adapted from ref. 12.)

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The image in figure 4b was generated by a recently developed technique known as wavelength-modulated differential photoacoustic radar (WM-DPAR), in which the target sample is excited simultaneously at two wavelengths. 14 The 680 nm and 808 nm laser emissions are chirp modulated out of phase, and thereby effectively subtracted from each other, to suppress coherent noise and background absorption. The process corresponds to the real-time subtraction of the absorption coefficients at each wavelength and location. The lasers’ amplitude ratios and phase differences are judiciously tuned to amplify the spectral differences of the targeted hemoglobin chromophores. The signal at a known reference [SO2] level is tuned to zero to calibrate signals from other [SO2] concentrations and produce accurate quantitative hypoxia imaging and monitoring.

Both figures 4a and 4b exhibit diffuse contrast and show features that lie outside the true region of the cancerous growth, which a histological dissection revealed to be localized in the right half of the image. The WM-DPAR image shows fewer errant features; however, the unnormalized laser fluence clearly limits the reliability of tumor diagnosis.

Recall that a major advantage of PAR imaging is the existence of a phase image channel. Because phase is the ratio of quadrature and in-phase signals—each of which is proportional to laser fluence—it is independent of laser fluence. The phase channel therefore yields better spatial subsurface localization and contrast reliability than does the amplitude channel. 15 Figures 4c and 4d show the respective images obtained when sequentially subtracted PAR and WM-DPAR images are filtered with the inverse of the standard deviation of their respective phases. Both images are greatly improved, though the WM-DPAR image more accurately reproduces the location, shape, and hypoxia distribution of the tumor.

Quantitative WM-DPAR imaging of tumor hypoxia can establish the malignant nature of a tumor early, even in premalignant phases, by detecting minute changes in total hemoglobin concentration and hemoglobin oxygenation. That unique capability will potentially aid the testing of cancer drugs on small animal models and—in next-phase applications—the diagnosis of cancer in humans.

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Closing in on cancer

Fast image-acquisition frame rates, potential portability, dual phase- and amplitude-imaging capabilities, accurate depth selectivity, millimeter depth resolution, and compatibility with modern clinical ultrasonic imagers for coregistration make biomedical PAR imaging technology a convenient, inexpensive option for the diagnosis of premalignant tumors and early cancers. Derived from concepts at the interface between imaging instrumentation, signal-generation physics, and biophotonics, PAR imaging is a paradigm of integration. Just as radar has become a crucial element of military combat, PAR imaging may become an important new weapon in the battle against cancer.

The author is grateful for funding from the Natural Sciences and Engineering Research Council of Canada, the Canadian Institutes of Health Research, and the Canada Research Chairs Program.

References

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    V. G. Andreev et al., Biomedical Optoacoustics, vol. 3916, A. A. Oraevsky, ed., SPIE (2000), p. 36.

  2. 2. See, for example, A. A. Oraevsky, L. V. Wang, eds., Photons Plus Ultrasound: Imaging and Sensing 2009, vol. 7177, SPIE (2009).

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  6. 6. Laser Institute of America, American National Standard for Safe Use of Lasers, ANSI Z136.1—2007 (2007).

  7. 7. M. A. Richards, Fundamentals of Radar Signal Processing, McGraw-Hill (2005), chap. 1;
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  8. 8. B. Lashkari, A. Mandelis, Opt. Lett. 35, 1623 (2010);https://doi.org/10.1364/OL.35.001623
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  10. 10. M. Heijblom et al., Sci. Rep. 5, 11778 (2015). https://doi.org/10.1038/srep11778

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  18. 18. J. Xia, J. Yao, L. H. V. Wang, Prog. Electromagn. Res. 147, 1 (2014). https://doi.org/10.2528/PIER14032303

More about the Authors

Andreas Mandelis is a professor in the department of mechanical and industrial engineering, the department of electrical and computer engineering, and the institute of biomaterials and biomedical engineering at the University of Toronto. He is also director of the university’s Center for Advanced Diffusion-Wave and Photoacoustic Technologies and a Canada Research Chair, Tier 1.

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