A Helmholtz equation solver using unsupervised learning: Application to transcranial ultrasound

Transcranial ultrasound therapy is increasingly used for the non-invasive treatment of brain disorders. However, conventional numerical wave solvers are currently too computationally expensive to be used online during treatments to predict the acoustic field passing through the skull (e.g., to account for subject-specific dose and targeting variations). As a step towards real-time predictions, in the current work, a fast iterative solver for the heterogeneous Helmholtz equation in 2D is developed using a fully-learned optimizer. The lightweight network architecture is based on a modified UNet that includes a learned hidden state. The network is trained using a physics-based loss function and a set of idealized sound speed distributions with fully unsupervised training (no knowledge of the true solution is required). The learned optimizer shows excellent performance on the test set, and is capable of generalization well outside the training examples, including to much larger computational domains, and more complex source and sound speed distributions, for example, those derived from x-ray computed tomography images of the skull.Comment: 23 pages, 13 figure

Accurate simulation of transcranial ultrasound propagation for ultrasonic neuromodulation and stimulation

Non-invasive, focal neurostimulation with ultrasound is a potentially powerful neuroscientific tool that requires effective transcranial focusing of ultrasound to develop. Time-reversal (TR) focusing using numerical simulations of transcranial ultrasound propagation can correct for the effect of the skull, but relies on accurate simulations. Here, focusing requirements for ultrasonic neurostimulation are established through a review of previously employed ultrasonic parameters, and consideration of deep brain targets. The specific limitations of finite-difference time domain (FDTD) and k-space corrected pseudospectral time domain (PSTD) schemes are tested numerically to establish the spatial points per wavelength and temporal points per period needed to achieve the desired accuracy while minimizing the computational burden. These criteria are confirmed through convergence testing of a fully simulated TR protocol using a virtual skull. The k-space PSTD scheme performed as well as, or better than, the widely used FDTD scheme across all individual error tests and in the convergence of large scale models, recommending it for use in simulated TR. Staircasing was shown to be the most serious source of error. Convergence testing indicated that higher sampling is required to achieve fine control of the pressure amplitude at the target than is needed for accurate spatial targeting

How sonoporation disrupts cellular structural integrity: morphological and cytoskeletal observations

Posters: no. 1Control ID: 1672429OBJECTIVES: In considering sonoporation for drug delivery applications, it is essential to understand how living cells respond to this puncturing force. Here we seek to investigate the effects of sonoporation on cellular structural integrity. We hypothesize that the membrane morphology and cytoskeletal behavior of sonoporated cells under recovery would inherently differ from that of normal viable cells. METHODS: A customized and calibrated exposure platform was developed for this work, and the ZR-75-30 breast carcinoma cells were used as the cell model. The cells were exposed to either single or multiple pulses of 1 MHz ultrasound (pulse length: 30 or 100 cycles; PRF: 1kHz; duration: up to 60s) with 0.45 MPa spatial-averaged peak negative pressure and in the presence of lipid-shelled microbubbles. Confocal microscopy was used to examine insitu the structural integrity of sonoporated cells (identified as ones with exogenous fluorescent marker internalization). For investigations on membrane morphology, FM 4-64 was used as the membrane dye (red), and calcein was used as the sonoporation marker (green); for studies on cytoskeletal behavior, CellLight (green) and propidium iodide (red) were used to respectively label actin filaments and sonoporated cells. Observation started from before exposure to up to 2 h after exposure, and confocal images were acquired at real-time frame rates. Cellular structural features and their temporal kinetics were quantitatively analyzed to assess the consistency of trends amongst a group of cells. RESULTS: Sonoporated cells exhibited membrane shrinkage (decreased by 61% in a cell’s cross-sectional area) and intracellular lipid accumulation (381% increase compared to control) over a 2 h period. The morphological repression of sonoporated cells was also found to correspond with post-sonoporation cytoskeletal processes: actin depolymerization was observed as soon as pores were induced on the membrane. These results show that cellular structural integrity is indeed disrupted over the course of sonoporation. CONCLUSIONS: Our investigation shows that the biophysical impact of sonoporation is by no means limited to the induction of membrane pores: e.g. structural integrity is concomitantly affected in the process. This prompts the need for further fundamental studies to unravel the complex sequence of biological events involved in sonoporation.postprin

A study on the change in plasma membrane potential during sonoporation

Posters: no. 4Control ID: 1680329OBJECTIVES: There has been validated that the correlation of sonoporation with calcium transients is generated by ultrasound-mediated microbubbles activity. Besides calcium, other ionic flows are likely involved in sonoporation. Our hypothesis is the cell electrophysiological properties are related to the intracellular delivery by ultrasound and microbubbles. In this study, a real-time live cell imaging platform is used to determine whether plasma membrane potential change is related to the sonoporation process at the cellular level. METHODS: Hela cells were cultured in DMEM supplemented with 10% FBS in Opticell Chamber at 37 °C and 5% CO2, and reached 80% confluency before experiments. The Calcein Blue-AM, DiBAC4(3) loaded cells in the Opticell chamber filled with PI solution and Sonovue microbubbles were immerged in a water tank on a inverted fluorescence microscope. Pulsed ultrasound (1MHz freq., 20 cycles, 20Hz PRF, 0.2-0.5MPa PNP) was irradiated at the angle of 45° to the region of interest for 1s.The real-time fluorescence imaging for different probes was acquired by a cooled CCD camera every 20s for 10min. The time-lapse fluorescence images were quantitatively analyzed to evaluate the correlation of cell viability, intracellular delivery with plasma membrane potential change. RESULTS: Our preliminary data showed that the PI fluorescence, which indicated intracellular delivery, was immediately accumulated in cells adjacent to microbubbles after exposure, suggesting that their membranes were damaged by ultrasound-activated microbubbles. However, the fluorescence reached its highest level within 4 to 6 minutes and was unchanged thereafter, indicating the membrane was gradually repaired within this period. Furthermore, using DIBAC4(3), which detected the change in the cell membrane potential, we found that the loss of membrane potential might be associated with intracellular delivery, because the PI fluorescence accumulation was usually accompanied with the change in DIBAC4 (3) fluorescence. CONCLUSIONS: Our study suggests that there may be a linkage between the cell membrane potential change and intracellular delivery mediated by ultrasound and microbubbles. We also suggest that other ionic flows or ion channels may be involved in the cell membrane potential change in sonoporation. Further efforts to explore the cellular mechanism of this phenomenon will improve our understanding of sonoporation.postprin

Developmental delays and subcellular stress as downstream effects of sonoporation

Posters: no. 2Control ID: 1672434OBJECTIVES: The biological impact of sonoporation has often been overlooked. Here we seek to obtain insight into the cytotoxic impact of sonoporation by gaining new perspectives on anti-proliferative characteristics that may emerge within sonoporated cells. We particularly focused on investigating the cell-cycle progression kinetics of sonoporated cells and identifying organelles that may be stressed in the recovery process. METHODS: In line with recommendations on exposure hardware design, an immersion-based ultrasound platform has been developed. It delivers 1 MHz ultrasound pulses (100 cycles; 1 kHz PRF; 60 s total duration) with 0.45 MPa peak negative pressure to a cell chamber that housed HL-60 leukemia cells and lipid-shelled microbubbles at a 10:1 cell-tobubble ratio (for 1e6/ml cell density). Calcein was used to facilitate tracking of sonoporated cells with enhanced uptake of exogenous molecules. The developmental trend of sonoporated cells was quantitatively analyzed using BrdU/DNA flow cytometry that monitors the cell population’s DNA synthesis kinetics. This allowed us to measure the temporal progression of DNA synthesis of sonoporated cells. To investigate whether sonoporation would upset subcellular homeostasis, post-exposure cell samples were also assayed for various proteins using Western blot analysis. Analysis focus was placed on the endoplasmic reticulum (ER): an important organelle with multi-faceted role in cellular functioning. The post-exposure observation time spanned between 0-24 h. RESULTS: Despite maintaining viability, sonoporated cells were found to exhibit delays in cell-cycle progression. Specifically, their DNA synthesis time was lengthened substantially (for HL-60 cells: 8.7 h for control vs 13.4 h for the sonoporated group). This indicates that sonoporated cells were under stress: a phenomenon that is supported by our Western blot assays showing upregulation of ER-resident enzymes (PDI, Ero1), ER stress sensors (PERK, IRE1), and ER-triggered pro-apoptotic signals (CHOP, JNK). CONCLUSIONS: Sonoporation, whilst being able to facilitate internalization of exogenous molecules, may inadvertently elicit a cellular stress response. These findings seem to echo recent calls for reconsideration of efficiency issues in sonoporation-mediated drug delivery. Further efforts would be necessary to improve the efficiency of sonoporation-based biomedical applications where cell death is not desirable.postprin

Real-time imaging of cellular dynamics during low-intensity pulsed ultrasound exposure

Control ID: 1671584Oral Session 5 - Bioeffects of therapeutic ultrasoundOBJECTIVE: Although the therapeutic potential of low-intensity pulsed ultrasound is unquestionable, the wave-matter interactions involved in the process remain to be vaguely characterized. Here we seek to undertake a series of in-situ cellular imaging studies that aim to analyze the mechanical impact of low-intensity pulsed ultrasound on attached fibroblasts from three different aspects: membrane, cytoskeleton, and nucleus. METHODS: Our experimental platform comprised an in-house ultrasound exposure hardware that was coupled to a confocal microscopy system. The waveguided ultrasound beam was geometrically aligned to the microscope’s fieldof-view that corresponds to the center of a polystyrene dish containing fibroblasts. Short ultrasound pulses (5 cycles; 2 kHz PRF) with 0.8 MPa peak acoustic pressure (0.21 W/cm2 SPTA intensity) were delivered over a 10 min period. Live imaging was performed on both membrane (CellMask) and cytoskeleton (actin-GFP, tubulin-RFP) over the entire observation period (up to 30 min after end of exposure). Also, pre- and post-exposure fixed-cell imaging was conducted on the nucleus (Hoechst 33342) and two cytoskeleton components related to stress fibers: F-actin (phalloidin-FITC) and vincullin (Alexa Fluor 647 conjugated). To study whether mechanotransduction was responsible in mediating ultrasound-cell interactions, some experiments were conducted with the addition of gadolinium that blocks stretch-sensitive ion channels. RESULTS: Cell shrinkage was evident over the course of low-intensity pulsed ultrasound exposure. This was accompanied with contraction of actin and tubulin. Also, an increase in central stress fibers was observed at the end of exposure, while the nucleus was found to have decreased in size. Interestingly, after the exposure, a significant rebound in cell volume was observed over a 30 min. period. These effects were not observed in cases with gadolinium blockage of mechanosensitive ion channels. CONCLUSIONS: Our results suggest that low-intensity pulsed ultrasound would transiently induce remodeling of a cell’s membrane and cytoskeleton, and it will lead to repression of nucleus. This indicates that ultrasound after all represents a mechanical stress on cellular membrane. The post-exposure outgrowth phenomenon is also of practical relevance as it may be linked to the stimulatory effects that have been already observed in low-intensity pulsed ultrasound treatments.postprin

Ultrasound in reverberating and aberrating environments: applications to human transcranial, transabdominal, and super-resolution imaging

Ultrasound imaging in the human body is degraded by effects of reverberation and aberration. The heterogeneous acoustical properties of different tissue types distort and reflect the wavefront as it travels to the target and as the echos travel back to the transducer. Transcranial imaging, has been a persistent challenge for ultrasound because the phase aberration, reverberation and attenuation from the human skull reduce the spatial resolution, to a millimeter or more, and limit contrast. Similar challenges arise in human abdominal imaging especially for patients with a large body mass index. Identifying, quantifying, and modeling these complex mechanisms of degradation are a critical component to develop rational strategies that can improve image quality. In this work, an experimental and simulation framework, calibrated to soft tissue measurements, that isolates and characterizes the individual sources of image degradation in ultrasound imaging is established. We show that using this simulation framework we can span the parameter space of image degradation in an independent or orthogonal fashion. Such flexibility offers advantages in the generation of training databases for machine learning applications as well as the development of beamforming strategies for challenging imaging scenarios. We also explored the framework's applications to lung ultrasound imaging, where the interpretation of reverberation artefacts occurring at the pleural surface is used to determine the underlying lung pathology. Using our acoustical simulation tools, B-mode images showcasing primary clinical features used in diagnostic lung imaging were successfully reproduced. These simulations establish a clear relationship of the artifacts to known underlying anatomical structures in a quantitative way. Transcranial simulations in 2D and 3D demonstrate that reverberations, whose role was previously unappreciated, are the principal source of image contrast and resolution degradation at shallow depths below 4~cm and when scattering tissue is present. Finally in the current work, the potential improvements offered by super-resolution imaging were explored by establishing the feasibility of transcranial super-resolution imaging through an intact human skull at a frequency of 2.5~MHz, with and without applying a phase correction, using with an existing clinical transducer.Doctor of Philosoph

Anniversary Paper: Evolution of ultrasound physics and the role of medical physicists and the AAPM and its journal in that evolution

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/134810/1/mp2048.pd