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Michael Liebling

Publications and source records attributed to Michael Liebling.

6 recordsLinked to original sources

The embryonic vertebrate heart tube is a dynamic suction pump.

The embryonic vertebrate heart begins pumping blood long before the development of discernable chambers and valves. At these early stages, the heart tube has been described as a peristaltic pump. Recent advances in confocal laser scanning microscopy and four-dimensional visualization have warranted another look at early cardiac structure and function. We examined the movement of cells in the embryonic zebrafish heart tube and the flow of blood through the heart and obtained results that contradict peristalsis as a pumping mechanism in the embryonic heart. We propose a more likely explanation of early cardiac dynamics in which the pumping action results from suction due to elastic wave propagation in the heart tube.

Animals↗

Rapid three-dimensional imaging and analysis of the beating embryonic heart reveals functional changes during development.

We report an accurate method for studying the functional dynamics of the beating embryonic zebrafish heart. The fast cardiac contraction rate and the high velocity of blood cells have made it difficult to study cellular and subcellular events relating to heart function in vivo. We have devised a dynamic three-dimensional acquisition, reconstruction, and analysis procedure by combining (1) a newly developed confocal slit-scanning microscope, (2) novel strategies for collecting and synchronizing cyclic image sequences to build volumes with high temporal and spatial resolution over the entire depth of the beating heart, and (3) data analysis and reduction protocols for the systematic extraction of quantitative information to describe phenotype and function. We have used this approach to characterize blood flow and heart efficiency by imaging fluorescent protein-expressing blood and endocardial cells as the heart develops from a tube to a multichambered organ. The methods are sufficiently robust to image tissues within the heart at cellular resolution over a wide range of ages, even when motion patterns are only quasiperiodic. These tools are generalizable to imaging and analyzing other cyclically moving structures at microscopic scales.

Animals↗

Complex-wave retrieval from a single off-axis hologram.

We present a new digital two-step reconstruction method for off-axis holograms recorded on a CCD camera. First, we retrieve the complex object wave in the acquisition plane from the hologram's samples. In a second step, if required, we propagate the wave front by using a digital Fresnel transform to achieve proper focus. This algorithm is sufficiently general to be applied to sophisticated optical setups that include a microscope objective. We characterize and evaluate the algorithm by using simulated data sets and demonstrate its applicability to real-world experimental conditions by reconstructing optically acquired holograms.

Journal Article↗

Autofocus for digital Fresnel holograms by use of a Fresnelet-sparsity criterion.

We propose a robust autofocus method for reconstructing digital Fresnel holograms. The numerical reconstruction involves simulating the propagation of a complex wave front to the appropriate distance. Since the latter value is difficult to determine manually, it is desirable to rely on an automatic procedure for finding the optimal distance to achieve high-quality reconstructions. Our algorithm maximizes a sharpness metric related to the sparsity of the signal's expansion in distance-dependent waveletlike Fresnelet bases. We show results from simulations and experimental situations that confirm its applicability.

Journal Article↗

Discretization of the radon transform and of its inverse by spline convolutions.

We present an explicit formula for B-spline convolution kernels; these are defined as the convolution of several B-splines of variable widths h(i) and degrees n(i). We apply our results to derive spline-convolution-based algorithms for two closely related problems: the computation of the Radon transform and of its inverse. First, we present an efficient discrete implementation of the Radon transform that is optimal in the least-squares sense. We then consider the reverse problem and introduce a new spline-convolution version of the filtered back-projection algorithm for tomographic reconstruction. In both cases, our explicit kernel formula allows for the use of high-degree splines; these offer better approximation performance than the conventional lower-degree formulations (e.g., piecewise constant or piecewise linear models). We present multiple experiments to validate our approach and to find the parameters that give the best tradeoff between image quality and computational complexity. In particular, we find that it can be computationally more efficient to increase the approximation degree than to increase the sampling rate.

Algorithms↗

Four-dimensional cardiac imaging in living embryos via postacquisition synchronization of nongated slice sequences.

Being able to acquire, visualize, and analyze 3D time series (4D data) from living embryos makes it possible to understand complex dynamic movements at early stages of embryonic development. Despite recent technological breakthroughs in 2D dynamic imaging, confocal microscopes remain quite slow at capturing optical sections at successive depths. However, when the studied motion is periodic--such as for a beating heart--a way to circumvent this problem is to acquire, successively, sets of 2D+time slice sequences at increasing depths over at least one time period and later rearrange them to recover a 3D+time sequence. In other imaging modalities at macroscopic scales, external gating signals, e.g., an electro-cardiogram, have been used to achieve proper synchronization. Since gating signals are either unavailable or cumbersome to acquire in microscopic organisms, we have developed a procedure to reconstruct volumes based solely on the information contained in the image sequences. The central part of the algorithm is a least-squares minimization of an objective criterion that depends on the similarity between the data from neighboring depths. Owing to a wavelet-based multiresolution approach, our method is robust to common confocal microscopy artifacts. We validate the procedure on both simulated data and in vivo measurements from living zebrafish embryos.

Algorithms↗