scholarly journals Correlation analysis framework for localization-based superresolution microscopy

2018 ◽  
Vol 115 (13) ◽  
pp. 3219-3224 ◽  
Author(s):  
Joerg Schnitzbauer ◽  
Yina Wang ◽  
Shijie Zhao ◽  
Matthew Bakalar ◽  
Tulip Nuwal ◽  
...  

Superresolution images reconstructed from single-molecule localizations can reveal cellular structures close to the macromolecular scale and are now being used routinely in many biomedical research applications. However, because of their coordinate-based representation, a widely applicable and unified analysis platform that can extract a quantitative description and biophysical parameters from these images is yet to be established. Here, we propose a conceptual framework for correlation analysis of coordinate-based superresolution images using distance histograms. We demonstrate the application of this concept in multiple scenarios, including image alignment, tracking of diffusing molecules, as well as for quantification of colocalization, showing its superior performance over existing approaches.

2017 ◽  
Author(s):  
Joerg Schnitzbauer ◽  
Yina Wang ◽  
Matthew Bakalar ◽  
Baohui Chen ◽  
Tulip Nuwal ◽  
...  

AbstractSuper-resolution images reconstructed from single-molecule localizations can reveal cellular structures close to the macromolecular scale and are now being used routinely in many biomedical research applications. However, because of their coordinate-based representation, a widely applicable and unified analysis platform that can extract a quantitative description and biophysical parameters from these images is yet to be established. Here, we propose a conceptual framework for correlation analysis of coordinate-based super-resolution images using distance histograms. We demonstrate the application of this concept in multiple scenarios including image alignment, tracking of diffusing molecules, as well as for quantification of colocalization.Significance statementCorrelation analysis is one of the most widely used image processing method. In the quantitative analysis of localization-based super-resolution images, there still lacks a generalized coordinate-based correlation analysis framework to take fully advantage of the super-resolution information. We show a coordinate-based correlation analysis framework for localization-based super-resolution microscopy. This framework is highly general and flexible in that it can be easily extended to model the effect of localization uncertainty, to the time domain and other distance definitions, enabling it to be adapted for a wide range of applications. Our work will greatly benefit the quantitative interpretation of super-resolution images and thus the biological application of super-resolution microscopy.


2020 ◽  
Author(s):  
Jonas Ries

Reconstruction of superresolved images from the raw data of blinking fluorophores in single-molecule localization microscopy (SMLM) requires extensive data analysis. Current software solutions often lack functionality, continuous development and cannot easily be extended with own algorithms. Here we release as open source a comprehensive Superresolution Microscopy Analysis Platform (SMAP) for SMLM. Its modular architecture makes it easy for anyone with basic programming experience to add own plugins, limiting development effort to implementing algorithms. It has a freely configurable graphical user interface (GUI) and currently contains more than 200 plugins spanning all steps of data analysis from single molecule fitting to post-processing, rendering and advanced quantitative analyses. SMAP is a powerful, ready-to-use software package for all steps of SMLM data analysis, that enables anyone to use state-of-the art algorithms and complex analysis workflows and that provides a versatile platform for developers to share and publish new SMLM algorithms.


2020 ◽  
Vol 15 ◽  
Author(s):  
Chen-An Tsai ◽  
James J. Chen

Background: Gene set enrichment analyses (GSEA) provide a useful and powerful approach to identify differentially expressed gene sets with prior biological knowledge. Several GSEA algorithms have been proposed to perform enrichment analyses on groups of genes. However, many of these algorithms have focused on identification of differentially expressed gene sets in a given phenotype. Objective: In this paper, we propose a gene set analytic framework, Gene Set Correlation Analysis (GSCoA), that simultaneously measures within and between gene sets variation to identify sets of genes enriched for differential expression and highly co-related pathways. Methods: We apply co-inertia analysis to the comparisons of cross-gene sets in gene expression data to measure the costructure of expression profiles in pairs of gene sets. Co-inertia analysis (CIA) is one multivariate method to identify trends or co-relationships in multiple datasets, which contain the same samples. The objective of CIA is to seek ordinations (dimension reduction diagrams) of two gene sets such that the square covariance between the projections of the gene sets on successive axes is maximized. Simulation studies illustrate that CIA offers superior performance in identifying corelationships between gene sets in all simulation settings when compared to correlation-based gene set methods. Result and Conclusion: We also combine between-gene set CIA and GSEA to discover the relationships between gene sets significantly associated with phenotypes. In addition, we provide a graphical technique for visualizing and simultaneously exploring the associations of between and within gene sets and their interaction and network. We then demonstrate integration of within and between gene sets variation using CIA and GSEA, applied to the p53 gene expression data using the c2 curated gene sets. Ultimately, the GSCoA approach provides an attractive tool for identification and visualization of novel associations between pairs of gene sets by integrating co-relationships between gene sets into gene set analysis.


Author(s):  
Lekha Patel ◽  
David Williamson ◽  
Dylan M Owen ◽  
Edward A K Cohen

Abstract Motivation Many recent advancements in single-molecule localization microscopy exploit the stochastic photoswitching of fluorophores to reveal complex cellular structures beyond the classical diffraction limit. However, this same stochasticity makes counting the number of molecules to high precision extremely challenging, preventing key insight into the cellular structures and processes under observation. Results Modelling the photoswitching behaviour of a fluorophore as an unobserved continuous time Markov process transitioning between a single fluorescent and multiple dark states, and fully mitigating for missed blinks and false positives, we present a method for computing the exact probability distribution for the number of observed localizations from a single photoswitching fluorophore. This is then extended to provide the probability distribution for the number of localizations in a direct stochastic optical reconstruction microscopy experiment involving an arbitrary number of molecules. We demonstrate that when training data are available to estimate photoswitching rates, the unknown number of molecules can be accurately recovered from the posterior mode of the number of molecules given the number of localizations. Finally, we demonstrate the method on experimental data by quantifying the number of adapter protein linker for activation of T cells on the cell surface of the T-cell immunological synapse. Availability and implementation Software and data available at https://github.com/lp1611/mol_count_dstorm. Supplementary information Supplementary data are available at Bioinformatics online.


2021 ◽  
pp. 109963622110204
Author(s):  
Abdallah Ghazlan ◽  
Tuan Ngo ◽  
Tay Son Le ◽  
Tu Van Le

Trabecular bone possesses a complex hierarchical structure of plate- and strut-like elements, which is analogous to structural systems encountered in engineering practice. In this work, key structural features of trabecular bone are mimicked to uncover effective energy dissipation mechanisms under blast loading. To this end, several key design parameters were identified to develop a bone-like unit cell. A computer script was then developed to automatically generate bone-like finite element models with many combinations of these design parameters, which were simulated under blast loading. The optimal structure was identified and its performance was benchmarked against traditional engineered cellular structures, including those with hexagonal, re-entrant and square cellular geometries. The bone-like structure showed superior performance over its engineered counterparts using the peak transmitted reaction force and energy dissipation as the key performance criteria.


2011 ◽  
Vol 50 (52) ◽  
pp. 12643-12646 ◽  
Author(s):  
Armin Hoffmann ◽  
Michael T. Woodside

2005 ◽  
Vol 79 (23) ◽  
pp. 14748-14755 ◽  
Author(s):  
Melissa I. Chang ◽  
Porntula Panorchan ◽  
Terrence M. Dobrowsky ◽  
Yiider Tseng ◽  
Denis Wirtz

ABSTRACT A quantitative description of the binding interactions between human immunodeficiency virus (HIV) type 1 envelope glycoproteins and their host cell surface receptors remains incomplete. Here, we introduce a single-molecule analysis that directly probes the binding interactions between an individual viral subunit gp120 and a single receptor CD4 and/or chemokine coreceptor CCR5 in living cells. This analysis differentiates single-molecule binding from multimolecule avidity and shows that, while the presence of CD4 is required for gp120 binding to CCR5, the force required to rupture a single gp120-coreceptor bond is significantly higher and its lifetime is much longer than those of a single gp120-receptor bond. The lifetimes of these bonds are themselves shorter than those of the P-selectin/PSGL-1 bond involved in leukocyte attachment to the endothelium bonds during an inflammation response. These results suggest an amended model of HIV entry in which, immediately after the association of gp120 to its receptor, gp120 seeks its coreceptor to rapidly form a new bond. This “bond transfer” occurs only if CCR5 is in close proximity to CD4 and CD4 is still attached to gp120. The analysis presented here may serve as a general framework to study mechanisms of receptor-mediated interactions between viral envelope proteins and host cell receptors at the single-molecule level in living cells.


2020 ◽  
Author(s):  
Cayla M. Miller ◽  
Elgin Korkmazhan ◽  
Alexander R. Dunn

Dynamic remodeling of the actin cytoskeleton allows cells to migrate, change shape, and exert mechanical forces on their surroundings. How the complex dynamical behavior of the cytoskeleton arises from the interactions of its molecular components remains incompletely understood. Tracking the movement of individual actin filaments in living cells can in principle provide a powerful means of addressing this question. However, single-molecule fluorescence imaging measurements that could provide this information are limited by low signal-to-noise ratios, with the result that the localization errors for individual fluorophore fiducials attached to filamentous (F)-actin are comparable to the distances traveled by actin filaments between measurements. In this study we tracked the movement F-actin labeled with single-molecule densities of the fluorogenic label SiR-actin in primary fibroblasts and endothelial cells. We then used a Bayesian statistical approach to estimate true, underlying actin filament velocity distributions from the tracks of individual actin-associated fluorophores along with quantified localization uncertainties. This analysis approach is broadly applicable to inferring statistical pairwise distance distributions arising from noisy point localization measurements such as occur in superresolution microscopy. We found that F-actin velocity distributions were better described by a statistical jump process, in which filaments exist in mechanical equilibria punctuated by abrupt, jump-like movements, than by models incorporating combinations of diffusive motion and drift. A model with exponentially distributed time- and length-scales for filament jumps recapitulated F-actin velocity distributions measured for the cell cortex, integrin-based adhesions, and actin stress fibers, indicating that a common physical model can potentially describe F-actin dynamics in a variety of cellular contexts.


2019 ◽  
Vol 17 (04) ◽  
pp. 1950028 ◽  
Author(s):  
Md. Ashad Alam ◽  
Osamu Komori ◽  
Hong-Wen Deng ◽  
Vince D. Calhoun ◽  
Yu-Ping Wang

The kernel canonical correlation analysis based U-statistic (KCCU) is being used to detect nonlinear gene–gene co-associations. Estimating the variance of the KCCU is however computationally intensive. In addition, the kernel canonical correlation analysis (kernel CCA) is not robust to contaminated data. Using a robust kernel mean element and a robust kernel (cross)-covariance operator potentially enables the use of a robust kernel CCA, which is studied in this paper. We first propose an influence function-based estimator for the variance of the KCCU. We then present a non-parametric robust KCCU, which is designed for dealing with contaminated data. The robust KCCU is less sensitive to noise than KCCU. We investigate the proposed method using both synthesized and real data from the Mind Clinical Imaging Consortium (MCIC). We show through simulation studies that the power of the proposed methods is a monotonically increasing function of sample size, and the robust test statistics bring incremental gains in power. To demonstrate the advantage of the robust kernel CCA, we study MCIC data among 22,442 candidate Schizophrenia genes for gene–gene co-associations. We select 768 genes with strong evidence for shedding light on gene–gene interaction networks for Schizophrenia. By performing gene ontology enrichment analysis, pathway analysis, gene–gene network and other studies, the proposed robust methods can find undiscovered genes in addition to significant gene pairs, and demonstrate superior performance over several of current approaches.


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