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			<titleStmt><title level='a'>Sound Out the Deep Clarity: Super-Resolution Photoacoustic Imaging at Depths</title></titleStmt>
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				<publisher>IEEE</publisher>
				<date>12/01/2024</date>
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				<bibl> 
					<idno type="par_id">10576835</idno>
					<idno type="doi">10.1109/TUFFC.2024.3451986</idno>
					<title level='j'>IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control</title>
<idno>0885-3010</idno>
<biblScope unit="volume">71</biblScope>
<biblScope unit="issue">12: Breaking the Resolution</biblScope>					

					<author>Nanchao Wang</author><author>Junjie Yao</author>
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			<abstract><ab><![CDATA[Photoacoustic imaging (PAI), also known as optoacoustic imaging, is a hybrid imaging modality that combines the rich contrast of optical imaging with the deep penetration of ultrasound imaging. Over the past decade, PAI has been increasingly utilized in biomedical studies, providing high-resolution high-contrast images of endogenous and exogenous chromophores in various fundamental and clinical research. However, PAI faces challenges in achieving high imaging resolution and deep tissue penetration simultaneously, limited by the optical and acoustic interactions with tissues. Overcoming these limitations is crucial for maximizing the potential of PAI for biomedical applications. Recent advances in super-resolution PAI have opened new possibilities for achieving high imaging resolution at greater depths. This review provides a comprehensive summary of these promising strategies, highlights their representative applications, envisions the potential future directions, and discusses the broader impact on biomedical imaging.]]></ab></abstract>
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<div xmlns="http://www.tei-c.org/ns/1.0"><head>I. INTRODUCTION</head><p>hotoacoustic (PA) imaging (PAI) is a hybrid technology that synergizes optical imaging and ultrasound (US) imaging to provide high-resolution, high-contrast images of biological tissues <ref type="bibr">[1]</ref><ref type="bibr">[2]</ref><ref type="bibr">[3]</ref><ref type="bibr">[4]</ref><ref type="bibr">[5]</ref>. Compared to other imaging modalities, PAI can offers greater imaging depth than optical microscopy modalities (e.g., optical coherence tomography and confocal microscopy), better functional and molecular sensitivity than conventional ultrasound imaging, and uses non-ionizing radiation unlike X-ray CT and PET/SPECT. Despite its relatively short history in biomedical imaging, PAI has rapidly advanced in the last decades, driven by its capabilities of multiscale imaging that spans from organelles and cells to tissues and organs <ref type="bibr">[2,</ref><ref type="bibr">3,</ref><ref type="bibr">6]</ref>. Based on its imaging principles, PAI can be classified into two categories: photoacoustic microscopy (PAM) and photoacoustic computed tomography (PACT). PAM is further grouped into optical-resolution PAM (OR-PAM) and acoustic-resolution PAM (AR-PAM) <ref type="bibr">[3]</ref>. OR-PAM provides the best imaging resolution and operates in the optical ballistic regime, by tightly focusing the laser beam within one optical transport mean free path (~1 mm in soft tissues) <ref type="bibr">[3,</ref><ref type="bibr">7]</ref>. In contrast, AR-PAM functions in the optical diffusive regime by focusing the acoustic detection, allowing for greater penetration depths (~3-5 mm) <ref type="bibr">[3,</ref><ref type="bibr">8]</ref>. PACT uses wide-field optical excitation with diffused light illumination and US transducer arrays to acquire data simultaneously, achieving rapid cross-sectional or volumetric imaging at centimeter-level penetration depth <ref type="bibr">[2,</ref><ref type="bibr">5]</ref>. The generated acoustic waves from the imaging target are processed with various image reconstruction algorithms (e.g., delay-and-sum, filtered back projection, model-based reconstruction, time reversal, etc.) <ref type="bibr">[9]</ref>.</p><p>Despite its impressive development over decades, PAI faces several physical and practical challenges. One major challenge is the tradeoff between imaging resolution and penetration depth <ref type="bibr">[3,</ref><ref type="bibr">5,</ref><ref type="bibr">6]</ref>. OR-PAM can achieve optical diffraction-limited resolution (micrometer level) to reveal fine structures of organelles and cells, but it is confined to a relatively superficial region of biological tissue (approximately 1 mm of depth). AR-PAM, with its ability to penetrate a few millimeters into tissue, provides detailed information on deep vascular networks or surface organs of small animals and humans, although its lateral resolution (tens of &#956;m) is inferior to that of OR-PAM. PAM techniques often suffer from degraded resolutions in outof-focus regions <ref type="bibr">[3]</ref>. PACT can perform deep tissue imaging at centimeter depth beyond the reach of typical optical imaging modalities. However, the spatial resolution of PACT is usually worse than PAM, ranging from a few hundred micrometers to millimeters <ref type="bibr">[2,</ref><ref type="bibr">5]</ref>. This resolution limitation is mainly limited by the inherent acoustic diffraction and the transducer geometry. Thus, the resolution of PAI is approximately limited by the optical diffraction for OR-PAM or the acoustic diffraction for AR-PAM and PACT. In practice, it is challenging for a PAI implementation to achieve both high resolution and deep penetration. Achieving super-resolution (SR) at depths is thus highly desired for advancing various biomedical applications of PAI. In this review, we summarize recent advances in super-resolution PAI research, particularly for imaging deep biological tissues, including localizationbased methods, fluctuation-based methods, illuminationmodification-based methods, PSF-enhancement-based methods, and reconstruction-based methods (Fig. <ref type="figure">1</ref>). We provide an overview of their technological strategies, and discuss future directions.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>II. LOCALIZATION-BASED METHODS</head><p>Inspired by localization-based super-resolution fluorescence imaging techniques <ref type="bibr">[10,</ref><ref type="bibr">11]</ref>, ultrasound localization microscopy (ULM) has enabled sub-diffraction images of microvascular structures in deep tissues <ref type="bibr">[12]</ref>. Similarly, localization techniques can be adapted by PAI to achieve superresolution <ref type="bibr">[13]</ref>. Localization-based SR-PAI tracks the central positions of flowing agents in the blood vessels that are smaller than system's spatial resolution. Successful application of this technique requires the exogenous or endogenous contrast agents to be small enough to navigate narrow microvessels and sparsely distribute to minimize overlapping, which would otherwise degrade the image quality. Additionally, these agents must produce strong PA signals that stand out against background tissues. Balancing the sparsity of the contrast agents with high signal-to-noise ratio (SNR) is crucial for localization-based SR-PAI. Both exogenous and endogenous contrast agents have been explored by localization-based SR-PAI. Highlights &#8226; This review presents a comprehensive summary of super-resolution photoacoustic imaging (SR PAI) methods. &#8226; Representative methods are included: localization-based methods, fluctuation-based methods, illuminationmodification-based methods, PSF-enhancement-based methods, and reconstruction-based methods.</p><p>&#8226; This paper highlights the corresponding applications, envisions the potential future directions, and discusses the broader impact on biomedical imaging.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>A. Exogenous contrast agent</head><p>In 2017, Vilov et al. first demonstrated the feasibility of using exogenous contrast agents for SR-PACT <ref type="bibr">[14]</ref>. They localized individual optical absorbers to achieve 2D superresolution imaging beyond the acoustic diffraction limit. This proof-of-concept study was performed using a microfluidic channel system with 10-&#956;m absorbing beads mimicking blood vessels (Fig. <ref type="figure">2a</ref>). A 15 MHz linear capacitive micromachined ultrasonic transducer array acquired 2D PACT images, and by localizing individual absorbers, they achieved a spatial accuracy of better than 1/10 of the acoustic wavelength. Furthermore, De&#225;n-Ben et al. extended this idea to 3D PACT using a 2D transducer array <ref type="bibr">[13]</ref>, where sparsely distributed 30&#956;m absorbing microspheres were used as the tracking targets (Fig. <ref type="figure">2b</ref>). A 220-&#956;m diameter knot was imaged by a 256channel 4-MHz spherical 2D transducer array. While the knot was not resolved in the conventional PACT image, the localization PACT clearly delineated the knot shape. Notably, the localization images not only showed significant improvements in spatial resolution but also enhanced the visibility of limited-view structures.</p><p>The first in-vivo localization PACT of mouse brain cortical vessels was demonstrated by Zhang et al. in 2019 <ref type="bibr">[15]</ref>. Using a 512-channel 5-MHz ring-array, they employed dyed droplets filled with near-infrared dye IR-780 iodide (Fig. <ref type="figure">2c</ref>). The dye had a molar extinction coefficient 300 times greater than that of hemoglobin at 780 nm, facilitating the localization of isolated droplets. This technique enabled the separation of vessels 25 &#956;m apart, achieving a six-fold improvement in spatial resolution.</p><p>Continuing this effort, De&#225;n-Ben et al. employed a 512channel 2D transducer array for imaging in-vivo mouse brain with ischemic stroke <ref type="bibr">[16]</ref>. They used 5-&#956;m dichloromethanebased microdroplets with optical absorption several orders of magnitude higher than that of hemoglobin at near-infrared wavelengths, enabling single-particle localization in vivo. This approach resulted in non-invasive 3D microangiography of the mouse brain with a resolution better than 20 &#956;m. Functional imaging of blood oxygenation and blood flow was also demonstrated (Fig. <ref type="figure">2d</ref>), showing a significant decrease in microvascular density and flow speed induced by ischemic stroke.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>B. Endogenous contrast agent</head><p>Red blood cells (RBCs) can also be used as localization targets to enhance the spatial resolution of PAI. In 2019, Kim et al. applied the localization OR-PAM technique to improve resolution and overcome the limited depth-of-focus <ref type="bibr">[17]</ref>. Taking advantage of the high signal to noise ratio (SNR) and high frame rate, OR-PAM images captured the locations of individual RBCs, achieving a 2.5-fold improvement in spatial resolution in vivo (Fig. <ref type="figure">3a</ref>). To address the limited temporal resolution of the localization approach, Kim et al. proposed a deep neural network technique to enhance the tracking speed of localization OR-PAM (Fig. <ref type="figure">3b</ref>) <ref type="bibr">[18]</ref>. This method allowed for constructing SR images with fewer raw images, which is also applicable for localization PACT.</p><p>Besides, the strong optical absorption of melanin at ~660 nm provides high contrast over the background signals, which can be used for tracking and localizing circulating melanoma cells. In 2020, Yang et al. reported a high-speed photoacoustic topography with an ergodic relay, providing high-throughput wide-field volumetric imaging with a single-element ultrasound detector <ref type="bibr">[19]</ref>. In this work, tracking and localizing flowing melanoma cells was demonstrated in the mouse brain in vivo (Fig. <ref type="figure">3c</ref>), leveraging the high imaging speed of the system. This technique enabled the separation of vessels 300 nm apart, an 83-fold improvement in spatial resolution.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>III. FLUCTUATION-BASED METHODS</head><p>Originally developed to improve the resolution of conventional fluorescence microscopy, the statistical analysis of temporal signal fluctuations provides a novel way to achieve sub-diffraction resolution. This method, known as superresolution optical fluctuation imaging (SOFI) <ref type="bibr">[20]</ref>, has since been adapted for SR-PAI. Specifically, analyzing high-order fluctuations in PA signals can resolve optically absorbing structures beyond the acoustic diffraction limit. Signal fluctuations can be introduced by two methods: external speckle illumination and fluctuating signal sources. </p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>A. External speckle illumination</head><p>In optical imaging, using external speckle illumination to introduce signal fluctuations is a common practice <ref type="bibr">[21]</ref>. The statistical analysis of signal fluctuation typically involves calculating high-order statistical moments, such as the second or third cumulants, of the fluctuated signal intensity over time. For PAI, multiple speckle illumination was first introduced by Gateau et al. in 2013 <ref type="bibr">[22]</ref>, although no SR-PAI was demonstrated in this initial work. The first demonstration of SR-PAI using speckle illumination was reported by <ref type="bibr">Chaigne et al. in 2016 [23]</ref>. They generated scattered light by rotating a ground glass diffuser to illuminate black polyethylene beads embedded in an agarose gel block (Fig. <ref type="figure">4a</ref>). Using a 4-MHz, 128-channel linear array, they experimentally showed that second-order signal fluctuations in PAI improved resolution by about 1.4 times for sparsely distributed beads.</p><p>Murray et al. later presented a similar method for enhancing PAI spatial resolution with speckle illumination <ref type="bibr">[24]</ref>. Randomized speckle patterns were produced by a rotating optical diffuser. The reconstruction method exploited the joint sparsity of sound sources. Using a single 90-MHz focused transducer and a translation stage, their experiments with alpaca fibers showed a resolution enhancement of at least two times. Liu et al. investigated the theoretical resolution limit for this method, demonstrating that &gt;2-fold improvement could be achieved with tailored super-Rayleigh speckle <ref type="bibr">[25]</ref>. Notably, conventional SOFI with high-order statistical analysis can introduce significant artifacts with insufficient image frames. Hojman et al. proposed an approach using dynamic speckle illumination combined with a compressed sensing computational reconstruction framework <ref type="bibr">[26]</ref>. This method considered the system response and target sparsity. Their results showed that this compressed sensing method not only enhanced spatial resolution but also reduced the required number of frames, offering advantages over conventional highorder SOFI (Fig. <ref type="figure">4b</ref>). However, no in-vivo SR-PAI based on external speckle imaging has been reported to date. One  challenge is the strong scattering of biological tissues, which results in the fully-developed speckles at the scale of optical wavelengths. Such fine speckle patterns may not introduce detectable signal fluctuations.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>B. Endogenous fluctuating sources</head><p>Surpassing the acoustic diffraction limit by exploiting inherent temporal fluctuations, such as those induced by the flowing RBCs, is also possible. Chaigne et al. first demonstrated the potential for SR-PAI through numerical and phantom studies <ref type="bibr">[27]</ref>. The flowing particles and whole human blood enabled contrast-agent-free resolution improvement and background reduction. Experimental demonstrations included imaging parallel microfluidic channels with absorbing particles or whole human blood with physiological concentrations (Fig. <ref type="figure">5a</ref>).</p><p>In 2020, Vilov et al. provided the first in vivo demonstration of SR-PAI by leveraging the randomness introduced by RBC flowing <ref type="bibr">[28]</ref>. Concurrently, theoretical predictions and Monte Carlo simulations demonstrated that second-order fluctuation images could significantly mitigate the limited-view issues. Using a customized 256-channel spherical transducer array operating at 8 MHz, they acquired 768 in-situ images of the microvasculature in a chicken embryo chorioallantoic membrane model (Fig. <ref type="figure">5b</ref>). Fluctuation images with prior singular value decomposition (SVD) filtering showed resistance to pulse energy fluctuations in both simulations and experiments. Typically, the largest singular values correspond to clutter signals (slow-moving blood or stationary tissue), while smaller singular values are associated with blood flow (fast-moving blood). Godefroy et al. expanded the similar concept to multispectral photoacoustic fluctuation imaging to enable quantitative molecular imaging, such as measuring blood oxygenation <ref type="bibr">[29]</ref>. They also integrated ultrasound power Doppler imaging to provide complementary information about blood flow dynamics. Using a sparse linear transducer array with 256 elements, the in-vivo experiments on chicken embryos demonstrated enhanced resolution and contrast in both ultrasound and photoacoustic images of blood vasculature. This included oxygen saturation and directional power Doppler information (Fig. <ref type="figure">5c</ref>). The lateral and axial resolution of traditional PAI are 0.18 mm and 0.27 mm, respectively. The resolution of fluctuation-based SR PAI is improved by &#8730;2 according to the SOFI theory <ref type="bibr">[29]</ref>.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>IV. ILLUMINATION-MODIFICATION-BASED METHODS</head><p>The PAM's lateral resolution degrades significantly outside the depth of focus (DoF) of the optical or acoustic beam <ref type="bibr">[3]</ref>. In Gaussian beam-based OR-PAM, there is an inherent trade-off between lateral resolution and DoF. Similarly, acoustic diffraction limits the lateral resolution of AR-PAM. To address these challenges, various illumination-modification methods have been proposed to extend the DoF while maintaining lateral resolution for PAM. Technically speaking, external speckle imaging could also be categorized as illuminationmodification-based methods.</p><p>However, almost all implementations of the external speckle imaging primarily aim for resolution enhancement for PACT rather than improving DoF for PAM, and it relies more on the stochastic analysis of fluctuating signals.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>A. Structured illumination</head><p>Structured illumination is a well-known super-resolution technique widely used in optical microscopy <ref type="bibr">[30,</ref><ref type="bibr">31]</ref>. In PAM, structured illumination helps overcome limitations by downconverting high-frequency spatial components into the system's passband. The first structured-illumination PAM system was demonstrated by Liang et al. in 2014 using a digital micromirror device (DMD) <ref type="bibr">[32]</ref>, inspired by the spectral Fourier-multiplexing method <ref type="bibr">[33]</ref>. The DMD served as an illumination pattern encoder to produce discrete Fourier modulation patterns for each spatial element, enabling the decoding of the spatial distribution of optical absorption.</p><p>Yang et al. proposed a new technique called motionless volumetric spatially invariant resolution PAM <ref type="bibr">[34]</ref>, which combines 2D Fourier-spectrum optical excitation with singleelement depth-resolved PA (Fig. <ref type="figure">6a</ref>). The propagationinvariant sinusoidal fringes generated by the DMD achieved the spatially-invariant lateral resolution. Amjadian et al. proposed a similar structured-illumination PAM system <ref type="bibr">[35]</ref>. Later, Amjadian et al. proposed a modified structured illumination setup to improve the lateral resolution alongside depth of view and imaging speed <ref type="bibr">[36]</ref>. In this setup, instead of single-position focused illumination, plane wave illumination was adopted, and its amplitude was modulated with sinusoidal fringes to enhance the captured spectrum and lateral resolution (Fig. <ref type="figure">6b</ref>). Consequently, the resultant acoustic pressure waves were acquired by a 2D planar transducer array. Another structured-illumination PAM was reported by modifying the phase-shifting method in 2022 <ref type="bibr">[37]</ref>. Structured-illumination with a three-phase-shifting method can improve the resolution by two folds. Here, a modified three-phase-shifting method is used to generate the second harmonics of the fringes and double the spectral shift.</p><p>Multifocal structured illumination PAM was proposed by Chen et al. that involves using a grid of focused optical spots to illuminate the tissue surface <ref type="bibr">[38]</ref>. It combined the illumination method of PAM (multiple focal spots scanned with an acoustooptic deflector) with the detection method of PACT (semispherical transducer array) to accelerate the imaging speed. The multifocal illumination pattern is generated by a beam splitting grating, and the images are subsequently formed by inverse reconstruction methods. Multifocal structured illumination PAM has achieved high-resolution, high-speed, and wide-field imaging with a lateral resolution of 28 &#956;m and an imaging speed of 12.5 s.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>B. Bessel beam</head><p>The Bessel beam, generated by an axicon lens, generally offers a longer DoF than a Gaussian beam and maintains a consistent lateral resolution over an extended depth range. This makes Bessel beams advantageous for enhancing image resolution in the out-of-focus regions. The Bessel-beam-based PAM system can be easily modified from a Gaussian-beambased PAM by replacing the optical illumination setup <ref type="bibr">[39,</ref><ref type="bibr">40]</ref>. Park et al. developed a reflection-mode switchable subwavelength Bessel-beam and Gaussian-beam PAM system (Fig. <ref type="figure">7a</ref>), confirming that the DoF of Bessel-beam PAM is significantly longer than that of Gaussian-beam PAM. However, a major drawback of Bessel-beam PAM is the strong sidelobes. To address this issue, blind deconvolution and Gr&#252;neisen relaxation effect were employed. Using these methods, Jiang et al. </p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>C. Focus-shifting lens</head><p>A conventional approach to address the short DoF issue in OR-PAM is to mechanically shift the optical focus. However, this method often decreases the imaging speed <ref type="bibr">[42]</ref>. To overcome this, Kim et al. proposed to use a dielectrooptofluidic lens (DOL) that can change its focal length by electrically adjusting the lens-acting liquid level (Fig. <ref type="figure">7b</ref>) <ref type="bibr">[43]</ref>. This method demonstrated an extended DoF and maximized the PA signal through focal length adjustments. Another technique is to use a tunable acoustic gradient (TAG) lens, which can swiftly change its effective focal length. In 2017, Yang et al. demonstrated an OR-PAM system utilizing a TAG lens to extend the DoF to 750 &#956;m <ref type="bibr">[44]</ref>. The TAG lens consists of a cylindrical piezoelectric shell filled with silicone oil, with its focal length adjustable according to the applied sinusoidal signal.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>V. PSF-ENHANCEMENT-BASED METHODS</head><p>Biological tissue can distort the optical wavefront and cause optical aberration as light propagates through, making it challenging to maintain high spatial resolution in PAM of deep tissues. Large aberrations in high numerical-aperture objective lenses exacerbate this issue. Since the performance of OR-PAM depends on the quality of the system's point spread function (PSF), it suffers from degradations in both PA signal amplitude and spatial resolution when imaging at depths. To address these challenges, adaptive optics (AO) and other PSFenhancement techniques have been introduced to improve image quality. Generally, AO not only helps to improve lateral resolution but also enhances the imaging contrast by narrowing optical focus. Additionally, using photoswithchable chromophores or non-linear optical effects can also help highlight the center of PSF via differential signals.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>A. Adaptive optics</head><p>The first report to introduce AO into OR-PAM was published in 2010 <ref type="bibr">[45]</ref>, aiming to correct the wavefront distortions of the illuminating light. This was achieved by using a close-loop AO system consisting of a 141-element MEMSbased deformable mirror and a Shack-Hartmann wavefront sensor operating at 15 Hz. This setup achieved a lateral resolution of better than 2.5 &#181;m using a low NA objective lens. In 2013, Caravaca-Aguirre et al. demonstrated transmissive AO OR-PAM through a scattering medium <ref type="bibr">[46]</ref>, by using a spatial light modulator to control the input light wavefront. Conkey et al. further demonstrated SR-PAI through a scattering wall using photoacoustic signal as the feedback for wavefront optimization (Fig. <ref type="figure">8a</ref>) <ref type="bibr">[47]</ref>, showing improved resolutions in ex vivo samples. In 2022, Notsuka implemented in vivo OR-PAM imaging based on transmissive AO <ref type="bibr">[48]</ref>. The system used a low-frequency ultrasound transducer with a compact transmissive AO device. The AO device is composed of three layers of liquid-crystal molecules sandwiched between glass substrates. This setup improved lateral resolution by 115% in the mouse ear (Fig. <ref type="figure">8b</ref>). In 2024, Shen et al. developed acoustic-feedback wavefront-adapted PAM to dynamically compensate for tissue-induced light aberration at depths in zebra fish embryos and mouse ears (Fig. <ref type="figure">8c</ref>) <ref type="bibr">[49]</ref>.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>B. Photoswitching</head><p>Reversibly switchable fluorescent proteins can be alternated between a fluorescent and nonfluorescent state by varying the excitation wavelengths, resulting in improved spatial resolution in localization-based fluorescence imaging. This technique can be exploited in PAI to improve the contrast-to-background ratio and spatial resolution by modulating the signals of labeled tissues.</p><p>Stiel et al. first reported reversibly switchable fluorescent proteins (Dronpa and the variant Dronpa-M159T) in PAT in 2015 <ref type="bibr">[50]</ref>. They modulated PA signals to increase the contrastto-noise, although this work did not demonstrate resolution enhancement. In 2016, Yao et al. demonstrated the use of a reversibly switchable non-fluorescent bacterial phytochrome, BphP1, for super-resolution PAI <ref type="bibr">[51]</ref>. This method combined OR-PAM with efficient BphP1 photoswitching, which enabled differential imaging with substantially improved spatial resolution (Fig. <ref type="figure">9a</ref>). In this work, a series of Gaussian-shaped laser pulses at 780 nm repeatedly strike a group of ON-state BphP1 molecules, the PA signals generated by the consecutive laser pulses decrease in amplitude as more BphP1 molecules are switched off at a rate proportional to the local excitation intensity. The PA signal from the center of the excitation spot decays faster than that from the periphery, accentuating the contribution from the center. This approach was able to suppress the PA signals generated by the out-of-focus regions and consequently achieved an axial resolution of &#8764;0.4 &#956;m, &#8764;75-fold finer than that of conventional OR-PAM (Fig. <ref type="figure">9b</ref>).</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>C. Nonlinear effect</head><p>A nonlinear effect frequently used in SR-PAI is the temperature-dependent Gr&#252;neisen coefficient. The first implementation of Gr&#252;neisen relaxation PAM (GR-PAM) was reported by Wang et al. in 2014 <ref type="bibr">[52]</ref>, improving the axial resolution from 45 &#956;m to 2.3 &#956;m and the lateral resolution from 0.63 &#956;m to 0.41 &#956;m. GR-PAM delivers two identical laser  pulses with a microsecond delay, and detects the amplitude difference between the two photoacoustic signals (Fig. <ref type="figure">10a</ref>). The first laser pulse generates a photoacoustic signal and increases the temperature of the in-focus absorbers. When the second laser pulse excites the thermally-tagged absorbers within the thermal relaxation time, a stronger photoacoustic signal is produced due to the temperature dependence of the Gr&#252;neisen coefficient. The signal difference highlights the contribution from the optical focus and thus improve the axial resolution. Alternatively, a continuous-wave (CW) laser can be used for the thermal tagging between the two laser pulses, which was demonstrated for in vivo mouse brain imaging, with significant improvement in image contrast and axial resolution (Fig. <ref type="figure">10b</ref>) <ref type="bibr">[53]</ref>. Liu et al. demonstrated ultraviolet GR-PAM to provide better contrast in mouse brain slice, achieving 15-&#956;m axial resolution and 0.64-&#956;m lateral resolution <ref type="bibr">[54]</ref>. Another application of GR-PAM is to use ultraviolet thermal tagging to suppress the mid-infrared (MIR) absorption of water in fresh biological samples. Shi et al. introduced this idea in 2019 and achieved background-free MIR imaging of lipids and proteins with ultraviolet resolution, at least an order of magnitude finer than the MIR diffraction limit <ref type="bibr">[55]</ref>. Shi et al. also demonstrated that an 8.26-fold contrast enhancement is achieved for imaging swine-adipose tissue at 1.7 &#956;m in comparison to conventional PAM <ref type="bibr">[56]</ref>.</p><p>Photobleaching is another nonlinear effect explored for SR-PAI. In 2014, Yao et al. introduced photoimprint PAM (PI-PAM), based on the nonlinear photobleaching process <ref type="bibr">[57]</ref>. In PI-PAM, when a sample is illuminated by an excitation laser beam, absorbers undergo photobleaching with a bleaching rate depending on the local optical fluence. The differential image before and after photobleaching highlights the center of the optical focus (Fig. <ref type="figure">10c</ref>). The lateral resolution was improved from 200 nm to 120 nm with an oil-immersion objective lens at 532 nm (Fig. <ref type="figure">10d</ref>). Nevertheless, the photobleaching process is damaging to the samples, and may generate toxic radicals, such as reactive oxygen species, potentially interrupting cellular processes and jeopardizing cell viability.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>VI. RECONSTRUCTION-BASED METHODS</head><p>Reconstruction-based methods can enhance the resolution of PAI without modifying the hardware, by leveraging advanced  mathematical, statistical, and machine learning techniques. However, most reconstruction-based SR-PAI methods rely on a priori knowledge or assumptions about the system's PSF, which may not be available or reliable in practice. Additionally, deep learning techniques may introduce 'hallucination' due to the model complexity and lack of training data.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>A. Deconvolution</head><p>Deconvolution-based image enhancement methods have been explored for PACT <ref type="bibr">[58]</ref>, OR-PAM <ref type="bibr">[59]</ref>, and AR-PAM <ref type="bibr">[60]</ref>. Typical deconvolution methods, including Richardson-Lucy (RL) deconvolution <ref type="bibr">[61]</ref> and model-based deconvolution <ref type="bibr">[62]</ref>, usually require a prior knowledge of the system PSF, which is often challenging to measure in vivo. Without knowing the PSF, blind deconvolution can be used (Fig. <ref type="figure">11a</ref>) <ref type="bibr">[63]</ref>. Because deconvolution-based SR-PAI methods do not require any hardware change, it can be coupled with other reconstruction-based resolution enhancement methods, such as synthetic-aperture focusing <ref type="bibr">[60]</ref>, and deep convolution neural network <ref type="bibr">[64]</ref>. Furthermore, deconvolution is essential to fluctuation-based SR-PAI methods, as high-order fluctuation analysis typically relies on deconvolution.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>B. Synthetic aperture focusing technique</head><p>Synthetic aperture focusing technique (SAFT) is often used in AR-PAM for enhancing lateral resolution in the out-of-focus region <ref type="bibr">[65]</ref>. The lateral resolution degradation of AR-PAM is due to the acoustic focusing rather than the optical focusing. In 2006, Li et al. first introduced SAFT in AR-PAM, assembling the PA signals originating from the same source to correct the out-of-focus distortion <ref type="bibr">[66]</ref>. Part et al. proposed a new SAFT method to further improve the resolution by using the delaymultiply-and-sum algorithm <ref type="bibr">[67]</ref>. Meanwhile, several studies have explored 2D or 3D SAFT <ref type="bibr">[68,</ref><ref type="bibr">69]</ref>. However, the out-offocus lateral resolution was still worse than that within the focus, mainly due to the assumed spherical wavefront. Deng et al. proposed an adaptive SAFT method that applies additional 1D SAFT processes in directions perpendicular to each blood vessel <ref type="bibr">[70]</ref>. In 2018, Jeon et al. presented a new 2D SAFT method that can solve the wavefront mismatch problem (Fig. <ref type="figure">11b</ref>) [71], by performing independent 1D SAFT in multiple directions.</p><p>Table. 1 Representative SR PAI techniques. Ref. Method type PAM/PACT Experimental spatial resolution Penetration depth Imaging time Major demonstrations in the reference [16] Localization-based SR-PAI using exogenous contrast PACT 20 &#956;m 2.5 mm 1 5 s In vivo transcranial mouse brain imaging [17] Localization-based SR-PAI using endogenous contrast PAM Lateral: 0.4-0.7 &#956;m Axial: 2.5 &#956;m 750 &#956;m 2 1.6 s (single position) In vivo microvasculatures PAI in small animals (e.g., mouse ear, mouse eye, mouse brain, etc.) [23] Fluctuation-based SR-PAI using external speckle illumination PACT 140-160 &#956;m Not applicable 10 s Ex vivo absorbing microbead imaging [29] Fluctuation-based SR-PAI using endogenous fluctuating sources PACT Lateral: 127 &#956;m Axial: 191 &#956;m 3 5 mm 4 ~10 s (including multispectral PAI and ultrasound imaging) In vivo integrated 3D sO2 and Doppler imaging on chicken embryos [34] Illumination-modification-based SR-PAI using structured illumination PAM Lateral: 1.9 &#956;m Axial: 19 &#956;m 1mm 5 21 s In vivo zebrafish embryo imaging [48] PSF-enhancement-based SR-PAI using adaptive optics PAM Lateral: 0.5-0.6 &#956;m Axial: 10.1 &#956;m 1.2 mm 6 100 ms modulation time + regular OR-PAM acquisition In vivo mouse ear imaging [51] PSF-enhancement-based SR-PAI using photoswitching PAM Lateral: 0.14 &#956;m Axial: 0.4 &#956;m 45 &#956;m 7 Not specified Cancer cell imaging [53] PSF-enhancement-based SR-PAI using Gr&#252;neisen effect PAM Lateral: 0.7 &#956;m Axial: 12.5 &#956;m 150 &#956;m 2 2.2 h In vivo mouse brain imaging [57] PSF-enhancement-based SR-PAI using photoimprint effect PAM Lateral: 0.12 &#956;m Axial: 0.4 &#956;m Not specified Not specified Cell imaging (e.g., melanoma cell, blood cell, live rose petal epidermal cell, etc.) [63] Reconstruction-based SR-PAI using deconvolution technique PAM Lateral: 3.04 &#956;m Axial: not specified 240 &#956;m 8 Not specified In vivo mouse ear imaging [71] Reconstruction-based SR-PAI using SAFT technique PAM Lateral: 55 &#956;m Axial: not specified 2 mm 8 Not specified In vivo mouse ear imaging 1 Mouse transcranial imaging.</p><p>2 Mouse brain imaging. 3 Estimated resolutions based on the original PA resolution dividing by &#8730;2. 4 Chicken embryo imaging. 5 Penetration depth underneath chicken breast tissue with optical clearing. See Supplementary Note 7 and Figure <ref type="figure">6</ref> in <ref type="bibr">[34]</ref>. 6 Ex vivo imaging under a glass plate. 7 BphP1-expressing U87 cell imaging. 8 Mouse ear imaging.</p><p>This article has been accepted for publication in IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control. This is the author's version which has not been fully edited and content may change prior to final publication. Citation information: DOI 10.1109/TUFFC.2024.3451986 &#169; 2024 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission. See <ref type="url">https://www.ieee.org/publications/rights/index.html</ref> for more information. Authorized licensed use limited to: Duke University. Downloaded on September 04,2024 at 20:04:59 UTC from IEEE Xplore. Restrictions apply. C. Deep learning Deep-learning techniques have been widely adopted in optical imaging technologies to improve contrast and spatial resolution, such as confocal microscopy [72], two-photon microscopy [73], fluorescence microscopy [74], and optical coherence tomography [75]. Deep learning methods can also be applied to improve the resolution of PAI. Awasthi et al. proposed a deep neural network-based model with the scaled root-mean squared error as the loss function for superresolution PACT [76]. Feng et al. explored CNN-based deconvolution to improve lateral resolution of AR-PAM [64]. Five CNN models were trained for performance comparison, including fully dense UNet, residual channel attenuation network, enhanced deep super resolution network, residual in residual dense block network. The phantom experiments demonstrated a lateral resolution of ~30&#956;m, which was less than half of the original resolution of the AR-PAM system. Zhang et al. proposed a framework that combines the modelbased and learning-based method in AR-PAM when applied to different imaging depths and frequencies (Fig. 11c) [77]. A deep convolutional neural network was used to implicitly capture the image's statistical and structural information of the vascular targets, which was then incorporated into the modelbased framework, enabling adaptive process. In vivo results showed significant improvement in SNR and CNR.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>VII. DISCUSSION AND CONCLUSION</head><p>PAI has been making important contributions to both preclinical and clinical applications, driven by rapid innovations in imaging systems. The unique capability of PAI to acoustically detect optically absorbing targets has provided rich structural, functional, and molecular information of the biological tissues at depths beyond the traditional optical imaging. Despite its technological advances, PAI has the tradeoff between the imaging resolution and penetration depths, impeding its broad applicability in deep tissues.</p><p>In this concise review, we have summarized different SR-PAI methods to improve the resolution beyond optical or acoustic diffraction. A selective collection of recently developed SR PAI techniques is shown in Table <ref type="table">1</ref>. These technological advancements in SR-PAI have opened new possibilities for biomedical research. Despite the significant advancements in SR-PAI, several challenges remain that hinder its widespread application and effectiveness. One primary issue is the limited penetration depth. Many SR-PAI techniques often rely on optical principles that work well near the surface but struggle deeper within biological tissues due to the scattering and absorption of light. This limitation restricts the application of SR-PAI in imaging deeper structures in vivo. Another challenge is the complexity and cost of the required equipment. Advanced super-resolution techniques often demand sophisticated setups, including high-speed lasers, specialized detectors, and complex computational algorithms. These requirements can be prohibitively expensive and technically challenging to implement, limiting accessibility to specialized research labs.</p><p>The trade-off between resolution and imaging speed is also a significant concern. Achieving super-resolution often necessitates prolonged data acquisition time, which can be impractical for capturing dynamic biological processes. This makes it difficult to apply SR-PAI to live imaging of rapidly changing phenomena, such as neural activity or blood flow. Additionally, the development of suitable contrast agents remains a bottleneck. While nanoparticles and molecular probes have enhanced resolution, for example, in the localization-based methods, their biocompatibility, toxicity, and clearance from the body are critical issues that need to be addressed. The lack of universally applicable and safe contrast agents limits the versatility and clinical translation of SR-PAI.</p><p>To overcome these challenges, future research in SR-PAI should focus on several key areas. Enhancing penetration depth is crucial, and can be approached by developing new methods that combine photoacoustic imaging with other modalities, such as ultrasound or magnetic resonance imaging (MRI). These hybrid approaches can leverage the strengths of each modality, providing deeper and more comprehensive imaging. However, integrating different imaging modalities into a single platform may be technically challenging, particularly with different lengths scales. The data fusion from the reconstructed images is also critical to minimize spatial and temporal misalignments.</p><p>Simplifying the technological requirements and reducing costs are also vital for broader adoption. Innovations in portable and affordable laser systems, as well as the development of user-friendly software package for image reconstruction, could make SR-PAI more accessible. Additionally, advancements in adaptive optics and wavefront shaping could simplify system design while improving image quality.</p><p>Balancing resolution with imaging speed will require new strategies that optimize data acquisition and processing. Compressive sensing and machine learning algorithms hold promise in this regard, as they can reduce the amount of data needed for high-resolution images and accelerate image reconstruction. Developing faster and more efficient computational methods will be essential for real-time superresolution imaging.</p><p>In the realm of contrast agents, research should aim to create biocompatible, non-toxic, and easily cleared agents that can enhance photoacoustic signals. These agents should be designed to target specific tissues or molecular markers, improving the specificity and sensitivity of SR-PAI. Nanotechnology and molecular engineering will play crucial roles in this endeavor. Continued exploration of nanoparticles, such as gold nanorods or carbon nanotubes for SR PAI is expected to offer high absorption, biocompatibility, tunability of optical properties, etc. Future research will likely also focus on developing multifunctional agents allowing for simultaneous diagnosis as well as treatment or providing signals for multiple imaging techniques, such as PAI combined with fluorescence or ultrasound imaging.</p><p>Finally, clinical translation will require rigorous validation and standardization of SR-PAI techniques. Large-scale preclinical studies and clinical trials are needed to demonstrate safety, efficacy, and reproducibility. Establishing standardized protocols and guidelines will facilitate regulatory approval and clinical adoption. We would like to point out that current SR-PAI works primarily focused on phantom and small animal studies to validate the efficacy and accuracy, which have paved the groundwork for future translation from preclinical applications to clinical practice.</p><p>By addressing the outstanding challenges and pursuing new research directions, SR-PAI can evolve into a more robust and versatile imaging tool, capable of providing unprecedented insights into biological structures and processes at the molecular and cellular levels at unprecedented depths.</p><p>Optics <ref type="bibr">Letters, vol. 31, no. 4, pp. 474-476, 2006</ref>/02/15 2006, doi: 10.1364/OL.31.000474. [67] J. Park, S. Jeon, J. Meng, L. Song, J. Lee, and C. Kim, "Delay-multiply-and-sum-based synthetic aperture focusing in photoacoustic microscopy," Journal of Biomedical Optics, vol. 21, no. 3, p. 036010, 2016. [Online]. Available: <ref type="url">https://doi.org/10.1117/1.JBO.21.3.036010</ref>. [68] Z. Deng, X. Yang, H. Gong, and Q. Luo, "Twodimensional synthetic-aperture focusing technique in photoacoustic microscopy," Journal of Applied Physics, vol. 109, no. 10, 2011, doi: 10.1063/1.3585828. [69] J. Turner, H. Estrada, M. Kneipp, and D. Razansky, "Improved optoacoustic microscopy through threedimensional spatial impulse response synthetic aperture focusing technique," Optics Letters, vol. 39, no. 12, pp. 3390-3393, 2014/06/15 2014, doi: 10.1364/OL.39.003390. [70] Z. Deng, X. Yang, H. Gong, and Q. Luo, "Adaptive synthetic-aperture focusing technique for microvasculature imaging using photoacoustic microscopy," Optics Express, vol. 20, no. 7, pp. 7555-7563, 2012/03/26 2012, doi: 10.1364/OE.20.007555. [71] S. Jeon, J. Park, R. Managuli, and C. Kim, "A Novel 2-D Synthetic Aperture Focusing Technique for Acoustic-Resolution Photoacoustic Microscopy," IEEE Transactions on Medical Imaging, vol. 38, no. 1, pp. 250-260, 2019, doi: 10.1109/TMI.2018.2861400. [72] B. Huang al., "Enhancing image resolution of confocal fluorescence microscopy with deep learning," PhotoniX, vol. 4, no. 1, p. 2, 2023/01/05 2023, doi: 10.1186/s43074-022-00077-x. [73] Y. He et al., "Self-supervised deep-learning twophoton microscopy," Photon. Res., vol. 11, no. 1, pp. 1-11, 2023/01/01 2023, doi: 10.1364/PRJ.469231. [74] H. Wang et al., "Deep learning enables cross-modality super-resolution in fluorescence microscopy," Nature Methods, vol. 16, no. 1, pp. 103-110, 2019/01/01 2019, doi: 10.1038/s41592-018-0239-0. [75] Z. Yuan, D. Yang, W. Wang, J. Zhao, and Y. Liang, "Self super-resolution of optical coherence tomography images based on deep learning," Optics Express, vol. 31, no. 17, pp. 27566-27581, 2023/08/14 2023, doi: 10.1364/OE.495530. [76] N. Awasthi, G. Jain, S. K. Kalva, M. Pramanik, and P. K. Yalavarthy, "Deep Neural Network-Based Sinogram Super-Resolution and Bandwidth Enhancement for Limited-Data Photoacoustic Tomography," IEEE TRANSACTIONS ON ULTRASONICS FERROELECTRICS AND FREQUENCY CONTROL, vol. 67, no. 12, pp. 2660-2673, DEC 2020, doi: 10.1109/TUFFC.2020.2977210. [77] Z. Zhang et al., "Adaptive enhancement of acoustic resolution photoacoustic microscopy imaging via deep CNN prior," Photoacoustics, vol. 30, p. 100484,</p></div><note xmlns="http://www.tei-c.org/ns/1.0" place="foot" xml:id="foot_0"><p>This article has been accepted for publication in IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control. This is the author's version which has not been fully edited and content may change prior to final publication. Citation information: DOI 10.1109/TUFFC.2024.3451986 &#169; 2024 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission. See https://www.ieee.org/publications/rights/index.html for more information. Authorized licensed use limited to: Duke University. Downloaded on September 04,2024 at 20:04:59 UTC from IEEE Xplore. Restrictions apply.</p></note>
			<note xmlns="http://www.tei-c.org/ns/1.0" place="foot" xml:id="foot_1"><p>This article has been accepted for publication in IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control. This is the author's version which has not been fully edited and content may change prior to final publication. Citation information: DOI 10.1109/TUFFC.2024.3451986 &#169; 2024 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission. See https://www.ieee.org/publications/rights/index.html for more information.</p></note>
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