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Quantifying the number of molecules from fluorescence microscopy measurements is an important topic in cell biology and medical research. In this work, we present a consecutive algorithm for super-resolution (STED) scanning microscopy that…

Applications · Statistics 2023-10-03 Katharina Proksch , Frank Werner , Jan Keller-Findeisen , Haisen Ta , Axel Munk

Homogeneous nucleation is formulated within the context of fluctuating hydrodynamics. It is shown that for a colloidal or macromolecular system in the strong damping limit the most likely path for nucleation can be determined by gradient…

Soft Condensed Matter · Physics 2011-10-27 James F. Lutsko

Many biological and engineering materials have nonperiodic microstructures for which classical periodic homogenization results do not apply. Certain nonperiodic microstructures may be approximated by locally periodic microstructures for…

Analysis of PDEs · Mathematics 2016-06-13 Brian Seguin

Single-particle cryo-electron microscopy (cryo-EM) has become a cornerstone of structural biology, enabling near-atomic resolution analysis of macromolecules through advanced computational methods. However, the development of cryo-EM…

Computer Vision and Pattern Recognition · Computer Science 2025-10-07 Runmin Jiang , Genpei Zhang , Yuntian Yang , Siqi Wu , Minhao Wu , Wanyue Feng , Yizhou Zhao , Xi Xiao , Xiao Wang , Tianyang Wang , Xingjian Li , Muyuan Chen , Min Xu

Over the last decade, the light microscope has become increasingly useful as a quantitative tool for studying colloidal systems. The ability to obtain particle coordinates in bulk samples from micrographs is particularly appealing. In this…

Soft Condensed Matter · Physics 2007-09-27 Matthew C. Jenkins , Stefan U. Egelhaaf

Microscopy images contain rich information about how cells respond to perturbations, making them essential to applications like drug screening. To quantify images, researchers often use representation extraction methods, and recent years…

Computer Vision and Pattern Recognition · Computer Science 2026-05-18 Emre Hayir , Lorin Crawford , Alex X. Lu

Single-particle cryo-electron microscopy (cryo-EM) has recently joined X-ray crystallography and NMR spectroscopy as a high-resolution structural method to resolve biological macromolecules. In a cryo-EM experiment, the microscope produces…

Information Theory · Computer Science 2022-10-28 Tamir Bendory , Nicolas Boumal , William Leeb , Eitan Levin , Amit Singer

Cryogenic electron microscopy (cryo-EM) is an invaluable technique for determining high-resolution three-dimensional structures of biological macromolecules using transmission particle images. The inherent symmetry in these macromolecules…

Optimization and Control · Mathematics 2024-11-06 Qi Zhang , Chenglong Bao , Hai Lin , Mingxu Hu

We consider the time evolution of a one dimensional $n$-gradient continuum. Our aim is to construct and analyze discrete approximations in terms of physically realizable mechanical systems, called microscopic because they are living on a…

Mathematical Physics · Physics 2015-05-06 Antonio Carcaterra , Francesco dell'Isola , Raffaele Esposito , Mario Pulvirenti

Biological functions stem from coordinated interactions among proteins, nucleic acids and small molecules. Mass spectrometry technologies for reliable, high throughput single-cell proteomics will add a new modality to genomics and enable…

Genomics · Quantitative Biology 2023-11-07 Andrew Leduc , Hannah Harens , Nikolai Slavov

Classical theory of crystals states that a medium to be considered homogeneous must satisfy the following requirements: a) the dimension of the elementary cell must be much smaller than the incident wavelength; b) the sample must contain a…

High throughput sequencing (HTS)-based technology enables identifying and quantifying non-culturable microbial organisms in all environments. Microbial sequences have enhanced our understanding of the human microbiome, the soil and plant…

Applications · Statistics 2021-03-09 Pratheepa Jeganathan , Susan P. Holmes

Digital information can be encoded in the building-block sequence of macro-molecules, such as RNA and single-stranded DNA. Methods of "writing" and "reading" macromolecular strands are currently available, but they are slow and expensive.…

Emerging Technologies · Computer Science 2017-09-14 Masud Mansuripur , Pramod Khulbe

Recent attacks of various viruses with having deep and extensive impact at a global scale has warranted that microbiome be studied extensively and in a robust analytic framework. Microbiome typically refers to the collective genomes of such…

Applications · Statistics 2023-03-30 M. Bhattacharjee

Motivation: ``Molecular signatures'' or ``gene-expression signatures'' are used to predict patients' characteristics using data from coexpressed genes. Signatures can enhance understanding about biological mechanisms and have diagnostic…

Quantitative Methods · Quantitative Biology 2007-05-23 Ramon Diaz-Uriarte

A necessary condition for the reliable modelling of the structure or evolution of the stars and of their concomitant nucleosynthesis is the availability of good quality nuclear data in a very wide area of the chart of nuclides. This short…

Astrophysics · Physics 2007-06-11 M. Arnould , M. Katsuma

Understanding the regulation and structure of ribosomes is essential to understanding protein synthesis and its deregulation in disease. While ribosomes are believed to have a fixed stoichiometry among their core ribosomal proteins (RPs),…

Genomics · Quantitative Biology 2015-11-24 Nikolai Slavov , Sefan Semrau , Edoardo Airoldi , Bogdan Budnik , Alexander van Oudenaarden

Cryo-EM data processing typically focuses on the structure of the main conformational state under investigation and discards images that belong to other states. This approach can reach atomic resolution, but ignores vast amounts of valuable…

Biomolecules · Quantitative Biology 2024-02-20 Felix Lambrecht , Andreas Kröpelin , Mario Lüttich , Michael Habeck , David Haselbach , Holger Stark

There is a growing need for biolabels that can be used in both optical and electron microscopies, are non-cytotoxic, and do not photobleach. Such biolabels could enable targeted nanoscale imaging of sub-cellular structures, and help to…

Biological Physics · Physics 2015-06-23 Mark A. Zurbuchen , Michael P. Lake , Sirus A. Kohan , Belinda Leung , Louis-S. Bouchard

We provide a brief overview of both Bayes and classical model selection. We argue tentatively that model selection has at least two major goals, that of finding the correct model or predicting well, and that in general both these goals may…

Statistics Theory · Mathematics 2015-10-05 Ritabrata Dutta , Malgortaza Bogdan , Jayanta K. Ghosh
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