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Since the discovery of the presence of biogenic magnetites in living organisms, there have been speculations on the role that these biomagnetites play in cellular processes. It seems that the formation of biomagnetite crystals is a…

生物物理 · 物理学 2010-12-16 Istvan Bokkon , Vahid Salari

We give a criterion which allows to determine, in terms of the combinatorics of the root system of the general linear group, which p-kernels occur in an isogeny class of p-divisible groups over an algebraically closed field of positive…

数论 · 数学 2017-12-06 Paul Ziegler

The dynamics of recombination in genetics leads to an interesting nonlinear differential equation, which has a natural generalization to a measure valued version. The latter can be solved explicitly under rather general circumstances. It…

经典分析与常微分方程 · 数学 2012-10-15 Michael Baake

We present a modelling framework for the dynamics of cells structured by the concentration of a micromolecule they contain. We derive general equations for the evolution of the cell population and of the extra-cellular concentration of the…

细胞行为 · 定量生物学 2024-10-30 Michael Grinfeld , Nigel Mottram , Jozsef Farkas

In the paper we obtain an existence criterion for Hall subgroups of finite groups in terms of a composition series.

群论 · 数学 2010-08-17 Danila O. Revin , Evgenii P. Vdovin

We investigate the problem of deciding whether a system of linear equations, together with divisibility conditions on the variables, has a solution over holomorphy subrings of global fields. We obtain decidability results when we allow…

逻辑 · 数学 2020-11-12 Carlos Martinez-Ranero , Javier Utreras , Xavier Vidaux

Reliability on complex biological networks reconstructions remains a concern. Although observations are getting more and more precise, the data collection process is yet error prone and the proofs display uneven certitude. In the case of…

分子网络 · 定量生物学 2010-08-20 M. Ángeles Serrano , Francesc Sagués

We prove the main rules of causal calculus (also called do-calculus) for i/o structural causal models (ioSCMs), a generalization of a recently proposed general class of non-/linear structural causal models that allow for cycles, latent…

机器学习 · 统计学 2022-08-31 Patrick Forré , Joris M. Mooij

We introduce a generalized concept of solutions for reaction-diffusion systems and prove their global existence. The only restriction on the reaction function beyond regularity, quasipositivity and mass control is special in that it merely…

偏微分方程分析 · 数学 2021-08-03 Johannes Lankeit , Michael Winkler

Some of the centrality experiments indicate regime change and saturation in the behaviour of characteristics of the secondary particles produced in relativistic nuclear interactions. We discuss that the responsible mechanism to explain the…

We study the ability to maintain information in a population of reacting polymers under the influence of decay, i.e., spontaneous breakdown of large polymers. At a certain decay rate, it becomes impossible to maintain a significant…

适应与自组织系统 · 物理学 2007-05-23 Wim Hordijk , Jose F. Fontanari

We improve a recent result by giving the optimal conclusion possible both to the frequent universality criterion and the frequent hypercyclicity criterion using the notion of A-densities, where A refers to some weighted densities sharper…

泛函分析 · 数学 2018-07-12 Romuald Ernst , A Mouze

We present an algorithm to decide whether a given ideal in the polynomial ring contains a monomial without using Gr\"obner bases, factorization or sub-resultant computations.

交换代数 · 数学 2017-04-18 Simon Keicher , Thomas Kremer

Many cellular processes require a polarization axis which generally initially emerges as an inhomogeneous distribution of molecular markers in the cell. We present a simple analytical model of a general mechanism of cell polarization taking…

细胞行为 · 定量生物学 2009-10-21 Rhoda J. Hawkins , Olivier Benichou , Matthieu Piel , Raphael Voituriez

The T-cell (TCR) repertoire relies on the diversity of receptors composed of two chains, called $\alpha$ and $\beta$, to recognize pathogens. Using results of high throughput sequencing and computational chain-pairing experiments of human…

基因组学 · 定量生物学 2019-05-14 Thomas Dupic , Quentin Marcou , Aleksandra M. Walczak , Thierry Mora

Reversibility of the Fleming-Viot process with mutation, selection, and recombination is well understood. In this paper, we study the reversibility of a system of Fleming-Viot processes that live on a countable number of colonies…

概率论 · 数学 2008-03-12 Shui Feng , Byron Schmuland , Jean Vaillancourt , Xiaowen Zhou

We review the theory of regenerative processes, which are processes that can be intuitively seen as comprising of i.i.d.\ cycles. Although we focus on the classical definition, we present a more general definition that allows for some form…

概率论 · 数学 2014-04-23 Maria Vlasiou

We prove that the set of limit groups is recursive, answering a question of Delzant. One ingredient of the proof is the observation that a finitely presented group with local retractions (a la Long and Reid) is coherent and, furthermore,…

群论 · 数学 2007-05-23 Daniel Groves , Henry Wilton

One of the main goals of Artificial Life is to research the conditions for the emergence of life, not necessarily as it is, but as it could be. Artificial Chemistries are one of the most important tools for this purpose because they provide…

适应与自组织系统 · 物理学 2021-12-08 Germán Kruszewski , Tomas Mikolov

Define the non-overlapping return time of a random process to be the number of blocks that we wait before a particular block reappears. We prove a Central Limit Theorem based on these return times. This result has applications to entropy…

概率论 · 数学 2007-05-23 Oliver Johnson