Vladimir Yu. Zaitsev

Elastographic mapping in optical coherence tomography using an unconventional approach based on correlation stability

Abstract. An approach to elastographic mapping in optical coherence tomography (OCT) using comparison of correlation stability of sequentially obtained intensity OCT images of the studied strained tissue is discussed. The basic idea is that for stiffer regions, the OCT image is distorted to a smaller degree. Consequently, cross-correlation maps obtained with compensation of trivial translational motion of the image parts using a sliding correlation window can represent the spatial distribution of the relative tissue stiffness. An important advantage of the proposed approach is that it allows one to avoid the stage of local-strain reconstruction via error-sensitive numerical differentiation of experimentally determined displacements. Another advantage is that the correlation stability (CS) approach intrinsically implies that for deformed softer tissue regions, cross-correlation should already be strongly decreased in contrast to the approaches based on initial reconstruction of displacements. This feature determines a much wider strain range of operability than the proposed approach and is favorable for its free-hand implementation using the OCT probe itself to deform the tissue. The CS approach can be implemented using either the image elements reflecting morphological structure of the tissue or performing the speckle-level cross-correlation. Examples of numerical simulations and experimental demonstrations using both phantom samples and in vivo obtained OCT images are presented.

Deformation-induced speckle-pattern evolution and feasibility of correlational speckle tracking in optical coherence elastography

Abstract. Feasibility of speckle tracking in optical coherence tomography (OCT) based on digital image correlation (DIC) is discussed in the context of elastography problems. Specifics of applying DIC methods to OCT, compared to processing of photographic images in mechanical engineering applications, are emphasized and main complications are pointed out. Analytical arguments are augmented by accurate numerical simulations of OCT speckle patterns. In contrast to DIC processing for displacement and strain estimation in photographic images, the accuracy of correlational speckle tracking in deformed OCT images is strongly affected by the coherent nature of speckles, for which strain-induced complications of speckle “blinking” and “boiling” are typical. The tracking accuracy is further compromised by the usually more pronounced pixelated structure of OCT scans compared with digital photographic images in classical DIC applications. Processing of complex-valued OCT data (comprising both amplitude and phase) compared to intensity-only scans mitigates these deleterious effects to some degree. Criteria of the attainable speckle tracking accuracy and its dependence on the key OCT system parameters are established.

Slow Relaxation and Aging Phenomena at the Nanoscale in Granular Materials

Granular matter exhibits a rich variety of dynamic behaviors, for which the role of thermal fluctuations is usually ignored. Here we show that thermal fluctuations can pronouncedly affect contacting nanoscale asperities at grain interfaces and brightly manifest themselves through the influence on nonlinear-acoustic effects. The proposed mechanism based on intrinsic bistability of nanoscale contacts comprises a wealth of slow-dynamics regimes including slow relaxations and aging as universal properties of a wide class of systems with metastable states.

Optimized phase gradient measurements and phase-amplitude interplay in optical coherence elastography

Abstract. In compressional optical coherence elastography, phase-variation gradients are used for estimating quasistatic strains created in tissue. Using reference and deformed optical coherence tomography (OCT) scans, one typically compares phases from pixels with the same coordinates in both scans. Usually, this limits the allowable strains to fairly small values <10−4 to 10−3, with the caveat that such weak phase gradients may become corrupted by stronger measurement noises. Here, we extend the OCT phase-resolved elastographic methodology by (1) showing that an order of magnitude greater strains can significantly increase the accuracy of derived phase-gradient differences, while also avoiding error-phone phase-unwrapping procedures and minimizing the influence of decorrelation noise caused by suprapixel displacements, (2) discussing the appearance of artifactual stiff inclusions in resultant OCT elastograms in the vicinity of bright scatterers due to the amplitude-phase interplay in phase-variation measurements, and (3) deriving/evaluating methods of phase-gradient estimation that can outperform conventionally used least-square gradient fitting. We present analytical arguments, numerical simulations, and experimental examples to demonstrate the advantages of the proposed optimized phase-variation methodology.

Novel methods for elasticity characterization using optical coherence tomography: Brief review and future prospects

Abstract In this paper, a brief overview of several recently proposed approaches to elastographic characterization of biological tissues using optical coherence tomography is presented. A common feature of these “unconventional” approaches is that unlike most others, they do not rely on a two-step process of first reconstructing the particle displacements and then performing its error-prone differentiation in order to determine the local strains. Further, several variants of these new approaches were proposed and demonstrated essentially independently and are based on significantly different principles. Despite the seeming differences, these techniques open up interesting prospects not only for independent usage, but also for combined implementation to provide a multifunctional investigation of elasticity of biological tissues and their rheological properties in a wider sense.

Optical coherence elastography for strain dynamics measurements in laser correction of cornea shape

We describe the use of elastographic processing in phase-sensitive optical coherence tomography (OCT) for visualizing dynamics of strain and tissue-shape changes during laser-induced photothermal corneal reshaping, for applications in the emerging field of non-destructive and non-ablative (non-LASIK) laser vision correction. The proposed phase-processing approach based on fairly sparse data acquisition enabled rapid data processing and near-real-time visualization of dynamic strains. The approach avoids conventional phase unwrapping, yet allows for mapping strains even for significantly supra-wavelength inter-frame displacements of scatterers accompanied by multiple phase-wrapping. These developments bode well for real-time feedback systems for controlling the dynamics of corneal deformation with 10-100 ms temporal resolution, and for suitably long-term monitoring of resultant reshaping of the cornea. In ex-vivo experiments with excised rabbit eyes, we demonstrate temporal plastification of cornea that allows shape changes relevant for vision-correction applications without affecting its transparency. We demonstrate OCTs ability to detect achieving of threshold temperatures required for tissue plastification and simultaneously characterize transient and cumulative strain distributions, surface displacements, and scattering tissue properties. Comparison with previously used methods for studying laser-induced reshaping of cartilaginous tissues and numerical simulations is performed.

Correlation stability elastography in OCT: algorithm and in vivo demonstrations

We discuss an elastography method based on comparison of correlation stability for different parts of sequentially obtained OCT images of the studied strained tissue. The basic idea is that in stiffer regions of a deformed tissue the OCT image is distorted to a smaller degree. Thus, cross-correlation maps obtained using a sliding correlation window for compensation of trivial translational motion of the image parts can reflect the spatial inhomogeneity of the tissue stiffness distribution. An important advantage of the proposed approach is that it allows one to avoid the stage of local strain reconstruction via error-sensitive procedures of numerical differentiation of experimentally determined displacements. Another advantage is that the correlation-stability approach requires that for deformed softer tissue regions, cross-correlation should already be strongly decreased, which intrinsically implies much wider strain range of the method operability compared to other approaches and is favorable for its free-hand implementation. Generally speaking, the approach can be implemented using the cross-correlation both image features reflecting morphological structure of the tissue and speckle-level cross-correlation. Examples of numerical simulations and experimental demonstrations using both phantom samples and in vivo obtained OCT images are presented.

Photodynamic therapy monitoring with optical coherence angiography

Photodynamic therapy (PDT) is a promising modern approach for cancer therapy with low normal tissue toxicity. This study was focused on a vascular-targeting Chlorine E6 mediated PDT. A new angiographic imaging approach known as M-mode-like optical coherence angiography (MML-OCA) was able to sensitively detect PDT-induced microvascular alterations in the mouse ear tumour model CT26. Histological analysis showed that the main mechanisms of vascular PDT was thrombosis of blood vessels and hemorrhage, which agrees with angiographic imaging by MML-OCA. Relationship between MML-OCA-detected early microvascular damage post PDT (within 24 hours) and tumour regression/regrowth was confirmed by histology. The advantages of MML-OCA such as direct image acquisition, fast processing, robust and affordable system opto-electronics, and label-free high contrast 3D visualization of the microvasculature suggest attractive possibilities of this method in practical clinical monitoring of cancer therapies with microvascular involvement.

Practical obstacles and their mitigation strategies in compressional optical coherence elastography of biological tissues

In this paper, we point out some practical obstacles arising in realization of compressional optical coherence elastography (OCE) that have not attracted sufficient attention previously. Specifically, we discuss (i) complications in quantification of the Young modulus of tissues related to partial adhesion between the OCE probe and soft intervening reference layer sensor, (ii) distorting influence of tissue surface curvature/corrugation on the subsurface strain distribution mapping, (iii) ways of signal-to-noise ratio (SNR) enhancement in OCE strain mapping when periodic averaging is not realized, and (iv) potentially significant influence of tissue elastic nonlinearity on quantification of its stiffness. Potential practical approaches to mitigate the effects of these complications are also described.

To the problem of stiffness-contrast quantification in the correlation-stability approach to OCT elastography

In the initial variant, the recently proposed correlation-stability approach to elasticity mapping in optical coherence tomography (OCT) of tissues was intended for qualitative visualization of the relative stiffness of different regions in tissue. Further development of this approach is aimed at obtaining the stiffness ratio between different tissue regions. In the proposed modified variant, the correlation-stability approach has much in common with the speckle variance approach which is used for visualizing blood microcirculation in OCT. We present preliminary demonstrations of implementation of the modified correlation-stability approach to quantify the relative stiffness using processing of the speckle-structure variability of OCT images of deformed tissues.