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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

This question is raised by Cason, Friedman and Hopkins (CFH, 2012) after they firstly found and indexed quantitatively the cycles in a continuous time experiment. To answer this question, we use the data from standard RPS experiment. Our…

Adaptation and Self-Organizing Systems · Physics 2012-08-14 Bin Xu , Zhijian Wang

A univariate clustering criterion for stationary processes satisfying a $\beta$-mixing condition is proposed extending the work of \cite{KB2} to the dependent setup. The approach is characterized by an alternative sample criterion function…

Statistics Theory · Mathematics 2013-11-19 Karthik Bharath

A novel theory for cell differentiation is proposed, based on simulations with interacting artificial cells which have metabolic networks within, and divide into two when the final product is accumulated. Results of simulations with coupled…

adap-org · Physics 2015-06-30 Kunihiko Kaneko , Tetsuya Yomo

It is now commonly accepted that globular clusters (GCs) have undergone a complex formation and that they host at least two stellar generations. This is a recent paradigm and is founded on both photometric and spectroscopic evidence. We…

Astrophysics of Galaxies · Physics 2013-01-16 Angela Bragaglia , Eugenio Carretta , Raffaele Gratton , Valentina D'Orazi , Sara Lucatello , Chris Sneden

A new criterion is developed which provides a check as to whether a chosen set of polarization observables is complete with respect to the determination of all independent $T$-matrix elements of a reaction of the type $a+b\to c+d+...$. As…

Nuclear Theory · Physics 2009-10-31 Hartmuth Arenhoevel , Winfried Leidemann , Edward L. Tomusiak

The cell cycle duration is a variable cellular phenotype that underlies long-term population growth and age structures. By analyzing the stationary solutions of a branching process with heritable cell division times, we demonstrate…

Populations and Evolution · Quantitative Biology 2021-01-04 Takashi Nozoe , Edo Kussell

Conceptualizing planetary habitability depends on understanding how living organisms originated and what features of environments are essential to foster abiogenesis. Estimates of the abundance of life's building blocks are confounded by…

Earth and Planetary Astrophysics · Physics 2018-07-12 Daniel S. Helman

We propose an alternative to the prevailing two origin of life narratives, one based on a replicator first hypothesis, and one based on a metabolism first hypothesis. Both hypotheses have known difficulties: All known evolvable molecular…

Populations and Evolution · Quantitative Biology 2017-06-20 Nicholas Guttenberg , Nathaniel Virgo , Chris Butch , Norman Packard

Cell formation problem is among the first obstacles the designer of cellular production systems must overcome. This paper presents a critical analysis of the various criteria and constraints considered in the literature. The objective is to…

Computational Engineering, Finance, and Science · Computer Science 2020-07-23 Menouar Boulif , Karim Atif

In this research, we consider a mixture of genome fragments of a certain bacteria set. The problem of mixture separation is studied under the assumption that all the genomes present in the mixture are completely sequenced or are close to…

Genomics · Quantitative Biology 2012-03-12 Valery Kirzhner , Zeev Volkovich

We first discuss recent progress in using the Milky Way globular cluster (GC) system as a `test-bed' for properties derived from integrated spectra and stellar population models. Standard techniques may give rise to spuriously high…

Astrophysics · Physics 2007-05-23 Duncan A. Forbes

During germinal center reactions the appearance of two specific zones is observed: the dark and the light zone. Up to now, the origin and function of these zones are poorly understood. In the framework of a stochastic and discrete model…

Biological Physics · Physics 2007-05-23 Michael Meyer-Hermann

Temporal evolution of a clonal bacterial population is modelled taking into account reversible mutation and selection mechanisms. For the mutation model, an efficient algorithm is proposed to verify whether experimental data can be…

Populations and Evolution · Quantitative Biology 2019-04-03 C. D. Bayliss , C. Fallaize , R. Howitt , M. V. Tretyakov

We propose that structural, kinematical, and chemical properties of the Galactic globular clusters (GCs) can contain fossil information of the cosmic reionization history. We first summarize possible observational evidences for the…

Astrophysics · Physics 2009-11-13 Kenji Bekki

We consider a reaction-diffusion system which may serve as a model for a ferment catalytic reaction in chemistry. The model consists of a system of reaction diffusion equations with unbounded time dependent coefficients and different…

Analysis of PDEs · Mathematics 2022-06-14 Mohamed Majdoub , Nasser-eddine Tatar

The human immune system depends on a highly diverse collection of antibody-making B cells. B cell receptor sequence diversity is generated by a random recombination process called "rearrangement" forming progenitor B cells, then a Darwinian…

Populations and Evolution · Quantitative Biology 2017-02-08 Duncan K. Ralph , Frederick A. Matsen

Stem cells are characterized by their ability to self-renew, as well as to differentiate and give rise to new populations of cells. Stem cell divisions are crucial for generative processes that occur during early development, and later in…

Applications · Statistics 2025-08-29 Haim Bar , Huyen Nguyen , Joanne Conover

Let $G$ be a group. We say that an element $f\in G$ is {\em reversible in} $G$ if it is conjugate to its inverse, i.e. there exists $g\in G$ such that $g^{-1}fg=f^{-1}$. We denote the set of reversible elements by $R(G)$. For $f\in G$, we…

Dynamical Systems · Mathematics 2014-02-11 Patrick Ahern , Anthony G. O'Farrell

A dynamic model for cell differentiation is studied, where cells with internal chemical reaction dynamics interact with each other and replicate. It leads to spontaneous differentiation of cells and determination, as is discussed in the…

adap-org · Physics 2007-05-23 Chikara Furusawa , Kunihiko Kaneko