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In this paper, we consider a series of events observed at spaced time intervals and present a method of representation of the series. To explain an idea, by dealing with a set of gene expression data, which could be obtained from…

Computational Complexity · Computer Science 2007-05-23 Gene Kim , MyungHo Kim

Deterministic continuum models formulated in terms of non-local partial differential equations for the evolutionary dynamics of populations structured by phenotypic traits have been used recently to address open questions concerning the…

Populations and Evolution · Quantitative Biology 2020-10-14 Aleksandra Ardaševa , Robert A. Gatenby , Alexander R. A. Anderson , Helen M. Byrne , Philip K. Maini , Tommaso Lorenzi

This paper reports the analysis of the dynamics of a model of pulse-coupled oscillators with global inhibitory coupling. The model is inspired by experiments on colonies of bacteria-embedded synthetic genetic circuits. The total population…

Classical Analysis and ODEs · Mathematics 2014-11-07 Alex Blumenthal , Bastien Fernandez

Automatic analysis of spatio-temporal microscopy images is inevitable for state-of-the-art research in the life sciences. Recent developments in deep learning provide powerful tools for automatic analyses of such image data, but heavily…

Image and Video Processing · Electrical Eng. & Systems 2021-01-28 Dennis Bähr , Dennis Eschweiler , Anuk Bhattacharyya , Daniel Moreno-Andrés , Wolfram Antonin , Johannes Stegmaier

Presented with sensory challenges, living cells employ extensive noisy, fluctuating signalling and communication among themselves to compute a physiologically proper response which often results in symmetry breaking. We propose, based on…

Biological Physics · Physics 2022-06-17 Dean Korošak , Andraž Stožer , Marjan Slak Rupnik

We describe a continuous-time modelling framework for biological population dynamics that accounts for demographic noise. In the spirit of the methodology used by statistical physicists, transitions between the states of the system are…

Populations and Evolution · Quantitative Biology 2018-07-19 George W. A. Constable , Alan J. McKane

We say that a Cellular Automata (CA) is coalescing when its execution on two distinct (random) initial configurations in the same asynchronous mode (the same cells are updated in each configuration at each time step) makes both…

Cellular Automata and Lattice Gases · Physics 2007-12-13 Jean-Baptiste Rouquier , Michel Morvan

In this article we propose an extension of singular spectrum analysis for interval-valued time series. The proposed methods can be used to decompose and forecast the dynamics governing a set-valued stochastic process. The resulting…

Methodology · Statistics 2020-11-10 Miguel de Carvalho , Gabriel Martos

Feature selection techniques are essential for high-dimensional data analysis. In the last two decades, their popularity has been fuelled by the increasing availability of high-throughput biomolecular data where high-dimensionality is a…

Quantitative Methods · Quantitative Biology 2024-01-18 Pengyi Yang , Hao Huang , Chunlei Liu

Stem cells, through their ability to produce daughter stem cells and differentiate into specialized cells, are essential in the growth, maintenance, and repair of biological tissues. Understanding the dynamics of cell populations in the…

Applications · Statistics 2026-02-02 Huyen Nguyen , Haim Bar , Zhiyi Chi , Vladimir Pozdnyakov

Neurons can display highly variable dynamics. While such variability presumably supports the wide range of behaviors generated by the organism, their gene expressions are relatively stable in the adult brain. This suggests that neuronal…

Neurons and Cognition · Quantitative Biology 2023-11-07 Lu Mi , Trung Le , Tianxing He , Eli Shlizerman , Uygar Sümbül

Coalescent theory combined with statistical modeling allows us to estimate effective population size fluctuations from molecular sequences of individuals sampled from a population of interest. When sequences are sampled serially through…

Populations and Evolution · Quantitative Biology 2021-11-02 Michael D. Karcher , Marc A. Suchard , Gytis Dudas , Vladimir N. Minin

A fundamental question in biology is how cell populations evolve into different subtypes based on homogeneous processes at the single cell level. Here we show that population bimodality can emerge even when biological processes are…

Molecular Networks · Quantitative Biology 2019-07-01 Jorge Fernandez-de-Cossio-Diaz , Roberto Mulet , Alexei Vazquez

Causal ordering of key events in the cell cycle is essential for proper functioning of an organism. Yet, it remains a mystery how a specific temporal program of events is maintained despite ineluctable stochasticity in the biochemical…

Molecular Networks · Quantitative Biology 2017-03-30 Farshid Jafarpour , Michael Vennettilli , Srividya Iyer-Biswas

Networks of genetic expression can be modelled by hypergraphs with the additional structure that real coefficients are given to each vertex-edge incidence. The spectra, i.e. the multiset of the eigenvalues, of such hypergraphs, are known to…

Molecular Networks · Quantitative Biology 2021-09-24 Raffaella Mulas , Michael J. Casey

Our ability to use deep learning approaches to decipher neural activity would likely benefit from greater scale, in terms of both model size and datasets. However, the integration of many neural recordings into one unified model is…

How do shared conventions emerge in complex decentralized social systems? This question engages fields as diverse as linguistics, sociology and cognitive science. Previous empirical attempts to solve this puzzle all presuppose that formal…

Physics and Society · Physics 2015-03-24 Damon Centola , Andrea Baronchelli

Single-cell RNA-sequencing (scRNA-seq) stands as a powerful tool for deciphering cellular heterogeneity and exploring gene expression profiles at high resolution. However, its high cost renders it impractical for extensive sample cohorts…

This paper presents a real-time simulation involving ''protozoan-like'' cells that evolve by natural selection in a physical 2D ecosystem. Selection pressure is exerted via the requirements to collect mass and energy from the surroundings…

Neural and Evolutionary Computing · Computer Science 2023-05-23 Dylan Cope

With the development of high throughput sequencing technology, it becomes possible to directly analyze mutation distribution in a genome-wide fashion, dissociating mutation rate measurements from the traditional underlying assumptions.…

Genomics · Quantitative Biology 2015-05-14 D. Parkhomchuk , V. S. Amstislavskiy , A. Soldatov , V. Ogryzko
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