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In this paper, we discuss the existence and uniqueness of coexistence states for a class of non-local elliptic system. This problem models the behaviour of a bacteria and a living nutrient, whose diffusion depends on the population of the…

偏微分方程分析 · 数学 2024-02-06 M. A. V. Costa , Y. B. C. Carranza , C. Morales-Rodrigo , A. Suarez

In this paper, we describe a dataset relating to cellular and physical conditions of patients who are operated upon to remove colorectal tumours. This data provides a unique insight into immunological status at the point of tumour removal,…

机器学习 · 计算机科学 2013-07-08 Chris Roadknight , Uwe Aickelin , Alex Ladas , Daniele Soria , John Scholefield , Lindy Durrant

To understand the chirality selection in the biological organic system, a simple lattice model of chemical reaction with molecular diffusion is proposed and studied by Monte Carlo simulations. In addition to a simple stochastic process of…

化学物理 · 物理学 2007-07-20 Yukio Saito , Hiroyuki Hyuga

Using geometrical arguments it is shown that Cancer Stem Cells (CSC) must be confined inside solid tumors under natural situations. Aided by an agent-based model and percolation theory, the probability for a CSC to be at the border of a…

生物物理 · 物理学 2020-10-20 Lucas Barberis

We begin by reviewing some probabilistic results about the Dirichlet Process and its close relatives, focussing on their implications for statistical modelling and analysis. We then introduce a class of simple mixture models in which…

统计方法学 · 统计学 2010-03-23 Peter J. Green

Nearly linear recurrences are a generalisation of linear recurrences and are instances of linear time-invariant systems in control theory and linear constraint loops in program analysis. In this paper we formulate the Positivity Problem for…

动力系统 · 数学 2026-03-04 Amaury Pouly , Mahsa Shirmohammadi , James Worrell

Microbes require several complex organic molecules for growth. A species may obtain a required factor by taking up molecules released by other species or by synthesizing the molecule. The patterns of uptake and synthesis set a flow of…

种群与进化 · 定量生物学 2014-02-27 Steven A. Frank

Well-trained classifiers and their complete weight distributions provide us with a well-motivated and practicable method to test generative networks in particle physics. We illustrate their benefits for distribution-shifted jets,…

高能物理 - 唯象学 · 物理学 2024-01-31 Ranit Das , Luigi Favaro , Theo Heimel , Claudius Krause , Tilman Plehn , David Shih

We state a sufficient condition for a fusion system to be saturated. This is then used to investigate localities with kernels, i.e. localities which are (in a particular way) extensions of groups by localities. As an application of these…

群论 · 数学 2022-08-17 Valentina Grazian , Ellen Henke

In this paper we investigate the equational theory of (the restriction, relabelling, and recursion free fragment of) CCS modulo rooted branching bisimilarity, which is a classic, bisimulation-based notion of equivalence that abstracts from…

计算机科学中的逻辑 · 计算机科学 2022-06-29 Luca Aceto , Valentina Castiglioni , Anna Ingolfsdottir , Bas Luttik

A non-classical formulation of the central limit theorem is given for sequences of independent random variables with finite second moments. Singular sequences whose members all have a degenerate or normal distribution are excluded from…

概率论 · 数学 2025-01-29 Alexander Shmyrov , Vasily Shmyrov

Genome wide comparisons between enteric bacteria yield large sets of conserved putative regulatory sites on a gene by gene basis that need to be clustered into regulons. Using the assumption that regulatory sites can be represented as…

生物物理 · 物理学 2009-11-07 Erik van Nimwegen , Mihaela Zavolan , Nikolaus Rajewsky , Eric D. Siggia

Cluster analysis requires many decisions: the clustering method and the implied reference model, the number of clusters and, often, several hyper-parameters and algorithms' tunings. In practice, one produces several partitions, and a final…

机器学习 · 统计学 2023-08-14 Luca Coraggio , Pietro Coretto

Cell membranes are out of thermodynamic equilibrium notably because of membrane recycling, i.e. active exchange of material with the cytosol. We propose an analytically tractable model of biomembrane predicting the effects of recycling on…

软凝聚态物质 · 物理学 2016-04-18 Mareike Berger , Manoel Manghi , Nicolas Destainville

Collective oscillation of cells in a population has been reported under diverse biological contexts and with vastly different molecular constructs. Could there be common principles similar to those that govern spontaneous oscillation in…

细胞行为 · 定量生物学 2019-07-08 Shou-Wen Wang , Lei-Han Tang

Bacteria populate the colon where they replicate and migrate in response to nutrient availability. Here I model the colon bacterial population as a sandpile model, the colon-pile. Sand addition mimics bacterial replication and grains…

种群与进化 · 定量生物学 2020-03-09 Alexei Vazquez

The theory of backward bifurcations provides a criterion for the existence of positive steady states in epidemiological models with parameters where the basic reproductive ratio is less than one. It is often seen in simulations that this…

动力系统 · 数学 2025-10-22 Alexis Nangue , Alan D. Rendall

Through in-depth thinking and reasoning about the conditions required for cells to maintain unchanged material distribution, it is concluded that life metabolic reactions require high information content. However, the self-replication of a…

生物物理 · 物理学 2024-08-27 Cheng Bi

In multicellular organisms, several cell states coexist. For determining each cell type, cell-cell interactions are often essential, in addition to intracellular gene expression dynamics. Based on dynamical systems theory, we propose a…

细胞行为 · 定量生物学 2007-12-05 Akihiko Nakajima , Kunihiko Kaneko

This manuscript proposes a significant step in our long-run investigation of infant mortality across species. Since 2016 (Berrut et al. 2016) a succession of studies (Bois et al. 2019) have traced infant mortality from organisms of high…

细胞行为 · 定量生物学 2021-03-26 Eduardo M. Garcia-Roger , Peter Richmond , Bertrand M. Roehner