Development and Applications of Advanced Ultrasound Techniques for Characterization and Stimulation of Engineered Tissues

Mechanobiology is central in the development, pathology, and regeneration of musculoskeletal tissues, in which mechanical factors play important roles. Therefore, there is a need for methods to characterize the composition and mechanical properties of developing musculoskeletal tissues over time. Ultrasound elastographic techniques have been developed for noninvasive imaging of spatial heterogeneity in tissue stiffness. However, their application for quantitative assessment of tissue mechanical properties, especially viscoelastic properties, has not been exploited. Additionally, ultrasound energy may be used to apply mechanical stimulation to engineered constructs at the microscale, and thereby to enhance tissue regeneration. We have developed a multimode ultrasound viscoelastography (MUVE) system for assessing microscale mechanical properties of engineered hydrogels. MUVE uses focused ultrasound pulses to apply acoustic radiation force (ARF) to deform samples, while concurrently measuring sample dimensions using coaxial high frequency ultrasound imaging. We used MUVE to perform creep tests on agarose, collagen, and fibrin hydrogels of defined concentrations, as well as to monitor the mechanical properties of cell-seeded constructs over time. Local and bulk viscoelastic properties were extracted from strain-time curves through fitting of relevant constitutive models, showing clear differences between concentrations and materials. In particular, we showed that MUVE is capable of mapping heterogeneity of samples in 3D. Using inclusion of dense agarose microbeads within agarose, collagen and fibrin hydrogels, we determined the spatial resolution of MUVE to be approximately 200 μm in both the lateral and axial directions. Comparison of MUVE to nanoindentation and shear rheometry showed that our ultrasound-based technique was superior in generating consistent, microscale data, particularly for very soft materials. We have also adapted MUVE to generate localized cyclic compression, as a means to mechanically stimulate engineered tissue constructs at the microscale. Selected treatment protocols were shown to enhance the osteogenic differentiation of human mesenchymal stem cells in collagen-fibrin hydrogels. Constructs treated at 1 Hz at an acoustic pressure of 0.7 MPa for 30 minutes per day showed accelerated osteogenesis and increased mineralization by 10 to 30 percent, relative to unstimulated controls. In separate experiments, the ultrasound pulse intensity was increased over time to compensate for changes in matrix properties over time, and a 35 percent increase in mineralization was achieved. We also extended the application of a previously-developed spectral ultrasound imaging (SUSI) technique to an animal model for early detection of heterotopic ossification (HO). The quantitative information on acoustic scatterer size and concentration derived from SUSI was used to differentiate tissue composition in a burn/tenotomy mice model from the control model. Importantly, HO foci were detected as early as one week after injury using SUSI, which is 3-5 weeks earlier than when using conventional micro-computed tomography. Taken together, these results demonstrate that ultrasound-based techniques can non-invasively and quantitatively characterize viscoelastic properties of soft materials in 3D, as well as their composition over time. Ultrasound pulses can also be used to stimulate engineered constructs to promote musculoskeletal tissue formation. MUVE, SUSI, and ultrasound stimulation can be combined into an integrated system to investigate the roles of matrix composition, static mechanical environment, and dynamic mechanical stimuli in tissue regeneration, as well as the interactions of these factors and their evolution over time. Ultrasound-based techniques therefore have promising potential in noninvasively characterizing the composition and biomechanics, as well as providing mechanical intervention in native and engineered tissues as they develop over time.PHDBiomedical EngineeringUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttps://deepblue.lib.umich.edu/bitstream/2027.42/144116/1/xho_1.pd

Estimation of Viscoelastic Properties of Cells Using Acoustic Tweezing Cytometry

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135346/1/jum201635122537.pd

Ultrasound Imaging Techniques for Spatiotemporal Characterization of Composition, Microstructure, and Mechanical Properties in Tissue Engineering

Ultrasound techniques are increasingly being used to quantitatively characterize both native and engineered tissues. This review provides an overview and selected examples of the main techniques used in these applications. Grayscale imaging has been used to characterize extracellular matrix deposition, and quantitative ultrasound imaging based on the integrated backscatter coefficient has been applied to estimating cell concentrations and matrix morphology in tissue engineering. Spectral analysis has been employed to characterize the concentration and spatial distribution of mineral particles in a construct, as well as to monitor mineral deposition by cells over time. Ultrasound techniques have also been used to measure the mechanical properties of native and engineered tissues. Conventional ultrasound elasticity imaging and acoustic radiation force imaging have been applied to detect regions of altered stiffness within tissues. Sonorheometry and monitoring of steady-state excitation and recovery have been used to characterize viscoelastic properties of tissue using a single transducer to both deform and image the sample. Dual-mode ultrasound elastography uses separate ultrasound transducers to produce a more potent deformation force to microscale characterization of viscoelasticity of hydrogel constructs. These ultrasound-based techniques have high potential to impact the field of tissue engineering as they are further developed and their range of applications expands.Peer Reviewedhttps://deepblue.lib.umich.edu/bitstream/2027.42/140238/1/ten.teb.2015.0453.pd

Staffing under Taylor's Law: A Unifying Framework for Bridging Square-root and Linear Safety Rules

Staffing rules serve as an essential management tool in service industries to attain target service levels. Traditionally, the square-root safety rule, based on the Poisson arrival assumption, has been commonly used. However, empirical findings suggest that arrival processes often exhibit an ``over-dispersion'' phenomenon, in which the variance of the arrival exceeds the mean. In this paper, we develop a new doubly stochastic Poisson process model to capture a significant dispersion scaling law, known as Taylor's law, showing that the variance is a power function of the mean. We further examine how over-dispersion affects staffing, providing a closed-form staffing formula to ensure a desired service level. Interestingly, the additional staffing level beyond the nominal load is a power function of the nominal load, with the power exponent lying between $1/2$ (the square-root safety rule) and $1$ (the linear safety rule), depending on the degree of over-dispersion. Simulation studies and a large-scale call center case study indicate that our staffing rule outperforms classical alternatives.Comment: 55 page

Learning to Simulate: Generative Metamodeling via Quantile Regression

Stochastic simulation models, while effective in capturing the dynamics of complex systems, are often too slow to run for real-time decision-making. Metamodeling techniques are widely used to learn the relationship between a summary statistic of the outputs (e.g., the mean or quantile) and the inputs of the simulator, so that it can be used in real time. However, this methodology requires the knowledge of an appropriate summary statistic in advance, making it inflexible for many practical situations. In this paper, we propose a new metamodeling concept, called generative metamodeling, which aims to construct a "fast simulator of the simulator". This technique can generate random outputs substantially faster than the original simulation model, while retaining an approximately equal conditional distribution given the same inputs. Once constructed, a generative metamodel can instantaneously generate a large amount of random outputs as soon as the inputs are specified, thereby facilitating the immediate computation of any summary statistic for real-time decision-making. Furthermore, we propose a new algorithm -- quantile-regression-based generative metamodeling (QRGMM) -- and study its convergence and rate of convergence. Extensive numerical experiments are conducted to investigate the empirical performance of QRGMM, compare it with other state-of-the-art generative algorithms, and demonstrate its usefulness in practical real-time decision-making.Comment: Main body: 36 pages, 7 figures; supplemental material: 12 page

Acoustic Tweezing Cytometry Induces Rapid Initiation of Human Embryonic Stem Cell Differentiation.

Mechanical forces play critical roles in influencing human embryonic stem cell (hESC) fate. However, it remains largely uncharacterized how local mechanical forces influence hESC behavior in vitro. Here, we used an ultrasound (US) technique, acoustic tweezing cytometry (ATC), to apply targeted cyclic subcellular forces to hESCs via integrin-bound microbubbles (MBs). We found that ATC-mediated cyclic forces applied for 30 min to hESCs near the edge of a colony induced immediate global responses throughout the colony, suggesting the importance of cell-cell connection in the mechanoresponsiveness of hESCs to ATC-applied forces. ATC application generated increased contractile force, enhanced calcium activity, as well as decreased expression of pluripotency transcription factors Oct4 and Nanog, leading to rapid initiation of hESC differentiation and characteristic epithelial-mesenchymal transition (EMT) events that depend on focal adhesion kinase (FAK) activation and cytoskeleton (CSK) tension. These results reveal a unique, rapid mechanoresponsiveness and community behavior of hESCs to integrin-targeted cyclic forces