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Bistability is a major mechanism for cellular decision making and usually results from positive feedback in biochemical control systems. Here we show theoretically that bistability between unbound and bound states of adhesion clusters…

亚细胞过程 · 定量生物学 2010-02-24 T. Erdmann , U. S. Schwarz

Recycled pulsars are mainly characterized by their spin periods, B-fields and masses. All these quantities are affected by previous interactions with a companion star in a binary system. Therefore, we can use these quantities as fossil…

太阳与恒星天体物理 · 物理学 2016-06-17 Thomas M. Tauris

This paper presents a criterion that provides an easy sufficient condition for a collection of line integrals to have the Chebyshev property. The condition is based on the functions appearing in the line integrals. The criterion is used to…

动力系统 · 数学 2023-11-17 Ali Bakhshalizadeh , Alex C. Rezende

Given a finite abelian group $G$ and cyclic subgroups $A$, $B$, $C$ of $G$ of the same order, we find necessary and sufficient conditions for $A$, $B$, $C$ to admit a common transversal for the cosets they afford. For an arbitrary number of…

群论 · 数学 2025-02-21 Stefanos Aivazidis , Maria Loukaki , Benjamin Sambale

The problem of unicellular-multicellular transition is one of the main issues that is discussing in evolutionary biology. In [1] the fitness of a colony of cells is considered in terms of its two basic components, viability and fecundity.…

种群与进化 · 定量生物学 2015-06-08 Fuad Aleskerov , Denis Tverskoy

A completeness conjecture is advanced concerning the free small-colimit completion P(A) of a (possibly large) category A. The conjecture is based on the existence of a small generating-cogenerating set of objects in A. We sketch how the…

范畴论 · 数学 2009-09-29 Brian J. Day

This article is concerned with the existence of a weak solution to the initial boundary problem for a cross-diffusion system which arises in the study of two cell population growth. The mathematical challenge is due to the fact that the…

偏微分方程分析 · 数学 2020-04-14 Brock C. Price , Xiangsheng Xu

The revival mechanism in dormant bacteria is a puzzling and open issue. We propose a model of information diffusion on a regular grid where agents represent bacteria and their mutual interactions implement quorum sensing. Agents may have…

生物物理 · 物理学 2025-01-17 Eleonora Alfinito , Matteo Beccaria

Free products of two residually finite groups with amalgamated retracts are considered. It is proved that a cyclic subgroup of such a group is not finitely separable if, and only if, it is conjugated with a subgroup of a free factor which…

群论 · 数学 2013-08-19 P. A. Bobrovskii , E. V. Sokolov

A protocell model consisting of mutually catalyzing molecules is studied in order to investigate how chemical compositions are transferred recursively through cell divisions under replication errors. Depending on the path rate, the numbers…

凝聚态物理 · 物理学 2009-11-10 Kunihiko Kaneko

We investigate the probability density of rescaled sums of iterates of deterministic dynamical systems, a problem relevant for many complex physical systems consisting of dependent random variables. A Central Limit Theorem (CLT) is only…

统计力学 · 物理学 2007-05-23 Ugur Tirnakli , Christian Beck , Constantino Tsallis

We study a two-species bidirectional exclusion process, and a single species variant, which is motivated by the motion of organelles and vesicles along microtubules. Specifically, we are interested in the clustering of the particles and…

统计力学 · 物理学 2020-03-17 Jim Chacko , Sudipto Muhuri , Goutam Tripathy

The object of our investigation is a point that gives the maximum value of a potential with a strictly decreasing radially symmetric kernel. It defines a center of a body in Rm. When we choose the Riesz kernel or the Poisson kernel as the…

微分几何 · 数学 2016-03-10 Shigehiro Sakata

Self-cycling fermentation is an automated process used for culturing microorganisms. We consider a model of $n$ distinct species competing for a single non-reproducing nutrient in a self-cycling fermentor in which the nutrient level is used…

种群与进化 · 定量生物学 2024-05-15 Stacey R. Smith? , Tyler Meadows , Gail S. K. Wolkowicz

Like other types of computational research, modeling and simulation of biological processes (biomodels) is still largely communicated without sufficient detail to allow independent reproduction of results. But reproducibility in this area…

其他定量生物学 · 定量生物学 2023-04-19 Pedro Mendes

The metabolic network of a living cell involves several hundreds or thousands of interconnected biochemical reactions. Previous research has shown that under realistic conditions only a fraction of these reactions is concurrently active in…

分子网络 · 定量生物学 2012-06-06 Joo Sang Lee , Takashi Nishikawa , Adilson E. Motter

We introduce a necessary and sufficient criterion for determining the existence and the values of ratio limits of complex sequences generated by arbitrary linear recurrences.

数论 · 数学 2017-04-11 Igor Szczyrba

For understanding the origin of life, it is essential to explain the development of a compartmentalized structure, which undergoes growth and division, from a set of chemical reactions. In this study, a hypercycle with two chemicals that…

细胞行为 · 定量生物学 2015-05-18 Atsushi Kamimura , Kunihiko Kaneko

We analyze the interactions between division, mutation and selection in a simplified evolutionary model, assuming that the population observed can be classified into fitness levels. The construction of our mathematical framework is…

概率论 · 数学 2018-01-04 Irene Balelli , Vuk Milišić , Gilles Wainrib

We investigate a generalization of stacks that we call $\mathcal{C}$-machines. We show how this viewpoint rapidly leads to functional equations for the classes of permutations that $\mathcal{C}$-machines generate, and how these systems of…

组合数学 · 数学 2018-01-30 Michael H. Albert , Cheyne Homberger , Jay Pantone , Nathaniel Shar , Vincent Vatter