Application of regularized Richardson-Lucy algorithm for deconvolution of confocal microscopy images

Although confocal microscopes have considerably smaller contribution of out-of-focus light than widefield microscopes, the confocal images can still be enhanced mathematically if the optical and data acquisition effects are accounted for. For that, several deconvolution algorithms have been proposed. As a practical solution, maximum-likelihood algorithms with regularization have been used. However, the choice of regularization parameters is often unknown although it has considerable effect on the result of deconvolution process. The aims of this work were: to find good estimates of deconvolution parameters; and to develop an open source software package that would allow testing different deconvolution algorithms and that would be easy to use in practice. Here, Richardson-Lucy algorithm has been implemented together with the total variation regularization in an open source software package IOCBio Microscope. The influence of total variation regularization on deconvolution process is determined by one parameter. We derived a formula to estimate this regularization parameter automatically from the images as the algorithm progresses. To assess the effectiveness of this algorithm, synthetic images were composed on the basis of confocal images of rat cardiomyocytes. From the analysis of deconvolved results, we have determined under which conditions our estimation of total variation regularization parameter gives good results. The estimated total variation regularization parameter can be monitored during deconvolution process and used as a stopping criterion. An inverse relation between the optimal regularization parameter and the peak signal-to-noise ratio of an image is shown. Finally, we demonstrate the use of the developed software by deconvolving images of rat cardiomyocytes with stained mitochondria and sarcolemma obtained by confocal and widefield microscopes.     

Fluorescence photobleaching-based shading correction for fluorescence microscopy

A thin fluorescent test layer, which is used in a practically mono-exponential bleaching regime, is employed to determine separately the excitation intensity and the fluorescence detection efficiency distributions in the field of view of a confocal fluorescence microscope. We demonstrate that once these distributions are known, it is possible to correct an image of a specimen for intensity variations which are caused by spatial nonuniformities of the illumination and the detection efficiency of the microscope. It is indicated that, provided a photophysically well-characterized fluorescent test layer is available, the method is potentially capable of quantifying the fluorescence intensities in an image of a specimen in terms of the fluorescence quantum yield, the absorption cross-section and the concentration of the fluorophore in the specimen.     

Fluorescence photobleaching-based image standardization for fluorescence microscopy

A method is presented for the standardization of images acquired with fluorescence microscopy, based on the knowledge of spatial distributions proportional to the microscope's absolute excitation intensity and fluorescence detection efficiency distributions over the image field. These distributions are determined using a thin fluorescent test layer, employed under practically mono-exponential photobleaching conditions. It is demonstrated that these distributions can be used for (i) the quantitative evaluation of differences between both the excitation intensity and the fluorescence detection efficiency of different fluorescence microscopes and (ii) the standardization of images acquired with different microscopes, permitting the deduction of quantitative relationships between images obtained under different imaging conditions.     

Comparison and accuracy of methods to determine the confocal volume for quantitative fluorescence correlation spectroscopy

Single molecule detection based on fluorescent labels offers the possibility to gain not only qualitative but also quantitative insight into specific functions of complex biological systems. Fluorescence correlation spectroscopy is one of the favourite techniques to determine concentrations and diffusion constants as well as molecular brightness of molecules in the pico‐ to nano‐molar concentration range, with broad applications in biology and chemistry. Although fluorescence correlation spectroscopy in principle has the potential to measure absolute concentrations and diffusion coefficients, the necessity to know the exact size and shape of the confocal volume very often hampers the possibility to obtain quantitative results and restricts fluorescence correlation spectroscopy to relative measurements mainly. The determination of the confocal volume in situ is difficult because it is sensitive to optical alignment and aberrations, optical saturation and variations of the index of refraction as observed in biological specimen. In the present contribution, we compare different techniques to characterize the confocal volume and to obtain the confocal parameters by fluorescence correlation spectroscopy curve fitting, a fluorescence correlation spectroscopy dilution series and confocal scanning of fluorescent beads. The results are compared in the view of quantitative fluorescence correlation spectroscopy measurement and analysis. We investigate how unavoidable artefacts caused by a non‐ideal confocal volume can be experimentally determined and validated.     

Quantitative measurement of the resolution and sensitivity of confocal microscopes using line-scanning fluorescence correlation spectroscopy

Spatial resolution and the sensitivity to detect a fluorophore are the two most important optical parameters that characterize a confocal microscope. However, these are rather difficult to estimate quantitatively. We show that fluorescence correlation spectroscopy (FCS) provides an easy and reliable measure of these quantities. We modify existing schemes for performing FCS on a commercial confocal microscope to carry out these measurements, and provide an analysis routine that can yield the relevant quantities. Our method does not require any modification of the confocal microscope, yet it yields a robust measure of the resolution and sensitivity of the instrument.     

An open‐source deconvolution software package for 3‐D quantitative fluorescence microscopy imaging

Deconvolution techniques have been widely used for restoring the 3‐D quantitative information of an unknown specimen observed using a wide‐field fluorescence microscope. Deconv , an open‐source deconvolution software package, was developed for 3‐D quantitative fluorescence microscopy imaging and was released under the GNU Public License. Deconv provides numerical routines for simulation of a 3‐D point spread function and deconvolution routines implemented three constrained iterative deconvolution algorithms: one based on a Poisson noise model and two others based on a Gaussian noise model. These algorithms are presented and evaluated using synthetic images and experimentally obtained microscope images, and the use of the library is explained. Deconv allows users to assess the utility of these deconvolution algorithms and to determine which are suited for a particular imaging application. The design of Deconv makes it easy for deconvolution capabilities to be incorporated into existing imaging applications.     

FLIM and FCS detection in laser‐scanning microscopes: Increased efficiency by GaAsP hybrid detectors

Photon counting detectors currently used in fluorescence lifetime microscopy have a number of deficiencies that result in less‐than‐ideal signal‐to‐noise ratio of the lifetimes obtained: Either the quantum efficiency is unsatisfactory or the active area is too small, and afterpulsing or tails in the temporal response contribute to overall timing inaccuracy. We have therefore developed a new FLIM detector based on a GaAsP hybrid photomultiplier. Compared with conventional PMTs and SPADs, GaAsP hybrid detectors have a number of advantages: The detection quantum efficiency reaches or surpasses the efficiency of fast SPADs, and the active area is on the order of 5 mm², compared with 2.5 10^?3 mm² for a SPAD. The TCSPC response is clean, without the bumps and the diffusion tails typical for PMTs and SPADs. Most important, the hybrid detector is intrinsically free of afterpulsing. FLIM results are therefore free of signal‐dependent background, and FCS curves are free of the known afterpulsing peak. We demonstrate the performance of the new detector for multiphoton NDD FLIM and for FCS. Microsc. Res. Tech., 2011. © 2010 Wiley‐Liss, Inc.     

Imaging properties of high aperture multiphoton fluorescence scanning optical microscopes

A theory for multiphoton fluorescence imaging in high aperture scanning optical microscopes employing finite sized detectors is presented. The effect of polarisation of the fluorescent emission on the imaging properties of such microscopes is investigated. The lateral and axial resolutions are calculated for one-, two- and three-photon excitation of p-quaterphenyl for high and low aperture optical systems. Significant improvement in lateral resolution is found to be achieved by employing a confocal pinhole. This improvement increases with the order of the multiphoton process. Simultaneously, it is found that, when the size of the pinhole is reduced to achieve the best possible resolution, the signal-to-noise ratio is not degraded by more than 30%. The degree of optical sectioning achieved is found to improve dramatically with the use of confocal detection. For two- and three-photon excitation axial full width half-maximum improvement of 30% is predicted.     

Measurement of absolute tracer concentrations in tissue sections by using digital imaging fluorescence microscopy. Application to the study of plasma protein uptake by the arterial wall

Digital imaging fluorescence microscopy (DIFM) of tissue sections was used to quantify uptake of labelled plasma proteins by the arterial wall. Several aspects of the measuring system were investigated so that absolute tracer concentrations and their local variation could be derived from digitized images. These investigations may be relevant to other studies employing DIFM. Nonlinearities were found to arise from offsets in the video digitizers, from background fluorescence and stray light within the microscope and from the transfer characteristics of the intensified CCD camera. Camera gain controls showed complex behaviour. Camera output fell substantially for several hours after switching on and was affected by room temperature. Large spatial variations in response were caused by the geometry of the microscope optics and by the image intensifier. However, the ratios between areas were not affected by light intensity or camera gain settings. Measured intensities were independent of the depthwise location of fluorophores within tissue sections but they were affected by the emission from objects outside the measuring area. Photobleaching of tracer varied significantly over the range of excitation intensities and durations used but was not concentration dependent. Methods used to correct these effects and obtain a uniform, linear and constant relationship between concentration and grey level are described. Using the system and appropriate corrections, in vivo uptake of sulphorhodamine-B-labelled serum albumin by the rabbit aortic wall was investigated. Results obtained for the mean uptake of tracer and its local variation were quantitatively similar to those previously obtained with nonmicroscopic methods.     

A precise light attenuation correction for confocal scanning microscopy with O(n4/3) computing time and O(n) memory requirements for n voxels

Some dyes and tissues observed by confocal fluorescence microscopy show remarkable opacity, caused by absorption and scattering within the scanned volume. The efficiency of the excitation and fluorescence process may vary by a factor of 10 from top to bottom regions even in not very extended scan volumes. Based on known attenuation properties of a specimen, the amount of damping is computed by integrating the attenuation along all light paths within the numerical aperture of the objective, Thus, to correct a single volume element (voxel), one has to take into account the damping within the whole extended conical volume between the lens and the focus, resulting in intolerable execution times. Common approaches reduce resolution or simplify the integration paths, thereby resulting in either a loss of fine resolution or showing a low resolution versus computation time ratio. This paper presents a more efficient reformulation of this spatial integration process without simplifying the physical background. This algorithm requires computing times slightly longer than those of programs using simplified physical and statistical approaches. However, the algorithm may be tuned to achieve a precision and stability comparable to exhaustive integration.     

Image cytometric method for quantifying the relative amount of DNA in bacterial nucleoids using Escherichia coli

An image cytometric method for quantifying integrated fluorescence was developed to measure the relative DNA contents of bacterial nucleoids. Image analysis was performed with newly developed macros in combination with the program Object-Image, all downloadable from http://simon.bio.uva.nl/object-image.html. Four aspects of the method were investigated. (i) Good linearity was found over a ten-fold range of fluorescence intensity in a test with a calibration kit of fluorescent latex spheres. (ii) The accuracy of the method was tested with a narrowly distributed Escherichia coli population, which was obtained by growing cells into stationary phase. The width of the image cytometric distribution was approximately 6%, in good agreement with results obtained by flow cytometry. (iii) The error contribution of manual focusing could be kept below 2%, although a strong dependency between integrated fluorescence and focus position was observed. (iv) The results were verified with a flow cytometer, which gave similar distributions for the DNA contents per cell expressed in chromosome equivalents (4.8 fg of DNA). We used the presented method to evaluate whether the DNA conformation had any effect on the total fluorescence of bacterial nucleoids. Experiments using nucleoids with the same amount of DNA in either a dispersed or a compact conformation showed no significant difference in integrated fluorescence, indicating that it is possible to determine the DNA content per nucleoid independently of the actual organization of the DNA.     

On the accuracy of lattice-distortion analysis directly from high-resolution transmission electron micrographs

Lattice‐distortion analysis from high‐resolution transmission electron micrographs offers a convenient and fast tool for direct measurement of strains in materials over a large area. In the present work, we have evaluated the accuracy of the strain measurement when the effects of the realistic experimental variables are explicitly taken into account by the use of image simulation techniques. These variables are focal setting and variation, local thickness and orientation of the sample, as well as misalignments of the sample and the incident beam. The evaluation reveals that consistency of image features and contrast within the micrographs is desired for the analysis to eliminate effects of the variations of local focus value and specimen thickness. After proper orientation of a crystalline specimen, the misorientation of the object will not notably influence the strain measurement even though a local bending may exist within the sample. However, the incident beam of the microscope needs to be aligned carefully as the beam misalignment may introduce a notable artefact around the interface region.     

Fluorescence lifetime imaging--techniques and applications

Fluorescence lifetime imaging (FLIM) uses the fact that the fluorescence lifetime of a fluorophore depends on its molecular environment but not on its concentration. Molecular effects in a sample can therefore be investigated independently of the variable, and usually unknown concentration of the fluorophore. There is a variety of technical solutions of lifetime imaging in microscopy. The technical part of this paper focuses on time‐domain FLIM by multidimensional time‐correlated single photon counting, time‐domain FLIM by gated image intensifiers, frequency‐domain FLIM by gain‐modulated image intensifiers, and frequency‐domain FLIM by gain‐modulated photomultipliers. The application part describes the most frequent FLIM applications: Measurement of molecular environment parameters, protein‐interaction measurements by Förster resonance energy transfer (FRET), and measurements of the metabolic state of cells and tissue via their autofluorescence. Measurements of local environment parameters are based on lifetime changes induced by fluorescence quenching or conformation changes of the fluorophores. The advantage over intensity‐based measurements is that no special ratiometric fluorophores are needed. Therefore, a much wider selection of fluorescence markers can be used, and a wider range of cell parameters is accessible. FLIM‐FRET measures the change in the decay function of the FRET donor on interaction with an acceptor. FLIM‐based FRET measurement does not have to cope with problems like donor bleedthrough or directly excited acceptor fluorescence. This relaxes the requirements to the absorption and emission spectra of the donors and acceptors used. Moreover, FLIM‐FRET measurements are able to distinguish interacting and noninteracting fractions of the donor, and thus obtain independent information about distances and interacting and noninteracting protein fractions. This is information not accessible by steady‐state FRET techniques. Autofluorescence FLIM exploits changes in the decay parameters of endogenous fluorophores with the metabolic state of the cells or the tissue. By resolving changes in the binding, conformation, and composition of biologically relevant compounds FLIM delivers information not accessible by steady‐state fluorescence techniques.     

Enhancing collection efficiency in large field of view multiphoton microscopy

Many multiphoton imaging applications would benefit from a larger field of view; however, large field of views (>mm) require low magnification objectives which have low light collection efficiencies. We demonstrate a light collection system mounted on a low magnification objective that increases fluorescence collection by as much as 20-fold in scattering tissues. This peripheral detector results in an effective numerical aperture of collection >0.8 with a 3-4 mm field of view.