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In systems biology, it is common to measure biochemical entities at different levels of the same biological system. One of the central problems for the data fusion of such data sets is the heterogeneity of the data. This thesis discusses…

Genomics · Quantitative Biology 2019-08-27 Yipeng Song

Biological information processing as implemented by regulatory and signaling networks in living cells requires sufficient specificity of molecular interaction to distinguish signals from one another, but much of regulation and signaling…

Biomolecules · Quantitative Biology 2015-01-29 Christopher R. Myers

Auto-regulatory feedback loops are one of the most common network motifs. A wide variety of stochastic models have been constructed to understand how the fluctuations in protein numbers in these loops are influenced by the kinetic…

Subcellular Processes · Quantitative Biology 2020-04-22 James Holehouse , Zhixing Cao , Ramon Grima

In this paper, we consider the statistical analysis of a protein interaction network. We propose a Bayesian model that uses a hierarchy of probabilistic assumptions about the way proteins interact with one another in order to: (i) identify…

Molecular Networks · Quantitative Biology 2007-11-15 Edoardo M Airoldi , David M Blei , Stephen E Fienberg , Eric P Xing

Mathematical models are vital interpretive and predictive tools used to assist in the understanding of cell migration. There are typically two approaches to modelling cell migration: either micro-scale, discrete or macro-scale, continuum.…

Cell Behavior · Quantitative Biology 2018-08-16 Enrico Gavagnin , Christian A. Yates

Clinical management of cancer has continuously evolved for several decades. Biochemical, molecular and genomics approaches have brought and still bring numerous insights into cancerous diseases. It is now accepted that some phenomena,…

Comparisons of single-cell RNA sequencing (scRNA-seq) data across species can reveal links between cellular gene expression and the evolution of cell functions, features, and phenotypes. These comparisons invoke evolutionary histories, as…

Populations and Evolution · Quantitative Biology 2023-07-07 Samuel H. Church , Jasmine L. Mah , Casey W. Dunn

Biological processes involve a variety of spatial and temporal scales. A holistic understanding of many biological processes therefore requires multi-scale models which capture the relevant properties on all these scales. In this manuscript…

Molecular Networks · Quantitative Biology 2015-06-23 Jan Hasenauer , Nick Jagiella , Sabrina Hross , Fabian J. Theis

In multicellular organisms, relations among parts and between parts and the whole are contextual and interdependent. These organisms and their cells are ontogenetically linked: an organism starts as a cell that divides producing…

Other Quantitative Biology · Quantitative Biology 2017-09-15 Maël Montévil , Lucia Speroni , Carlos Sonnenschein , Ana M. Soto

Single-cell trajectory analysis aims to reconstruct the biological developmental processes of cells as they evolve over time, leveraging temporal correlations in gene expression. During cellular development, gene expression patterns…

Applications · Statistics 2026-03-30 Junhao Zhu , Kevin Zhang , Zhaolei Zhang , Dehan Kong

Computational models provide crucial insights into complex biological processes such as cancer evolution, but their mechanistic nature often makes them nonlinear and parameter-rich, complicating calibration. We systematically evaluate…

Analysis of PDEs · Mathematics 2025-09-24 Christina Schenk , Jacobo Ayensa Jiménez , Ignacio Romero

Signaling pathways are responsible for the regulation of cell processes, such as monitoring the external environment, transmitting information across membranes, and making cell fate decisions. Given the increasing amount of biological data…

Molecular Networks · Quantitative Biology 2020-04-07 Daniel Inostroza , Cecilia Hernández , Diego Seco , Gonzalo Navarro , Alvaro Olivera-Nappa

Developing accurate and efficient coarse-grained representations of proteins is crucial for understanding their folding, function, and interactions over extended timescales. Our methodology involves simulating proteins with molecular…

Biomolecules · Quantitative Biology 2023-10-11 Carles Navarro , Maciej Majewski , Gianni de Fabritiis

We review methods of data analysis for biophysical data with a special emphasis on single molecule applications. Our review is intended for anyone, from student to established researcher. For someone just getting started, we focus on…

Biological Physics · Physics 2016-11-24 Meysam Tavakoli , J. Nicholas Taylor , Chun-Biu Li , Tamiki Komatsuzaki , Steve Pressé

Recent experimental advances in biology allow researchers to obtain gene expression profiles at single-cell resolution over hundreds, or even thousands of cells at once. These single-cell measurements provide snapshots of the states of the…

Computational Engineering, Finance, and Science · Computer Science 2018-01-18 Jasmin Fisher , Ali Sinan Köksal , Nir Piterman , Steven Woodhouse

To illustrate the power of the biophysical approach in solving important problems in life science, I present here one of our current research projects as an example. We have developed special biophotonic techniques to study the dynamic…

Biological Physics · Physics 2014-01-10 Donald C. Chang

Recent technological advances in cutting-edge ultrasensitive fluorescence microscopy have allowed single-molecule imaging experiments in living cells across all three domains of life to become commonplace. Single-molecule live-cell data is…

Biomolecules · Quantitative Biology 2015-04-15 Mark Leake

In this note, we focus on a selection model problem: a mono-exponential model versus a bi-exponential one. This is done in the biological context of living cells, where small data are available. Classical statistics are revisited to improve…

Applications · Statistics 2011-05-31 Ph. Heinrich , J. Kahn , L. Héliot , D. Trinel

A simple way to get insights about the possible functional motions of a protein is to perform a normal mode analysis (NMA). Indeed, it has been shown that low-frequency modes thus obtained are often closely related to domain motions…

Biomolecules · Quantitative Biology 2013-12-20 Yves-Henri Sanejouand

We consider the analysis of high dimensional data given in the form of a matrix with columns consisting of observations and rows consisting of features. Often the data is such that the observations do not reside on a regular grid, and the…

Machine Learning · Statistics 2017-08-22 Gal Mishne , Ronen Talmon , Israel Cohen , Ronald R. Coifman , Yuval Kluger