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This work deals with the inference of catalytic recombination parameters from plasma wind tunnel experiments for reusable thermal protection materials. One of the critical factors affecting the performance of such materials is the…

Data Analysis, Statistics and Probability · Physics 2021-12-07 Anabel del Val , Olivier P. Le Maître , Olivier Chazot , Thierry E. Magin , Pietro M. Congedo

Count outcomes in longitudinal studies are frequent in clinical and engineering studies. In frequentist and Bayesian statistical analysis, methods such as Mixed linear models allow the variability or correlation within individuals to be…

Methodology · Statistics 2024-07-15 Alejandra Estefanía Patiño Hoyos , Johnatan Cardona Jiménez

Templated copying is the central operation by which biology produces complex molecules. Cells copy sequence information from DNA to RNA and on into proteins, which are the molecules responsible for the function and regulation of cellular…

Biological Physics · Physics 2021-04-13 Jenny Poulton

Side-by-side comparison of detailed kinetic models using a new tool to aid recognition of species structures reveals significant discrepancies in the published rates of many reactions and thermochemistry of many species. We present a first…

Chemical Physics · Physics 2017-12-27 Sai Krishna Sirumalla , Morgan A. Mayer , Kyle E. Niemeyer , Richard H. West

The development of mechanistic models of biological systems is a central part of Systems Biology. One major task in developing these models is the inference of the correct model parameters. Due to the size of most realistic models and their…

Quantitative Methods · Quantitative Biology 2016-06-28 Jan Mikelson , Mustafa Khammash

We analyse a two-particle quantum system in $\R^d$ with interaction and in presence of a random external potential field with a continuous argument (an Anderson model in a continuous space). Our aim is to establish the so-called Wegner-type…

Mathematical Physics · Physics 2008-12-16 A. Boutet de Monvel , V. Chulaevsky , Y. Suhov

Although deep models achieve high predictive performance, it is difficult for humans to understand the predictions they made. Explainability is important for real-world applications to justify their reliability. Many example-based…

Machine Learning · Statistics 2021-12-08 Tomoharu Iwata , Yuya Yoshikawa

The paper addresses the problem of finding the causal direction between two associated variables. The proposed solution is to build an autoencoder of their joint distribution and to maximize its estimation capacity relative to both the…

Machine Learning · Statistics 2022-12-09 Matthias Feiler

Causal inference in completely randomized treatment-control studies with binary outcomes is discussed from Fisherian, Neymanian and Bayesian perspectives, using the potential outcomes framework. A randomization-based justification of…

Statistics Theory · Mathematics 2015-01-13 Peng Ding , Tirthankar Dasgupta

Catalysis, the acceleration of chemical reactions by molecules that are not consumed in the process, is essential to living organisms but currently absent in physical systems that aspire to emulate biological functionalities with artificial…

Soft Condensed Matter · Physics 2022-11-23 Maitane Muñoz-Basagoiti , Olivier Rivoire , Zorana Zeravcic

Compartmentalization of self-replicating molecules (templates) in protocells is a necessary step towards the evolution of modern cells. However, coexistence between distinct template types inside a protocell can be achieved only if there is…

Biological Physics · Physics 2013-02-19 J. F. Fontanari , M. Serva

We have developed a coarse-grained formulation for modeling the dynamic behavior of cells quantitatively, based on stochasticity and heterogeneity, rather than on biochemical reactions. We treat each reaction as a continuous-time stochastic…

Molecular Networks · Quantitative Biology 2015-05-28 Shunsuke Teraguchi , Yutaro Kumagai , Alexis Vandenbon , Shizuo Akira , Daron M Standley

Polynomial dynamical systems are widely used to model and study real phenomena. In biochemistry, they are the preferred choice for modelling the concentration of chemical species in reaction networks with mass-action kinetics. These systems…

Algebraic Geometry · Mathematics 2014-12-30 Elisenda Feliu

The theory of multistate template-directed reversible copolymerization is developed by extending the method based on iterated function systems to matrices, taking into account the possibility of multiple activation states instead of a…

Biological Physics · Physics 2020-05-20 Pierre Gaspard

Given any finite and closed chemical reaction system, it is possible to efficiently determine whether or not it contains a `self-sustaining and collectively autocatalytic' subset of reactions, and to find such subsets when they exist.…

Molecular Networks · Quantitative Biology 2015-01-26 Mike Steel

In responding to rating questions, an individual may give answers either according to his/her knowledge/awareness or to his/her level of indecision/uncertainty, typically driven by a response style. As ignoring this dual behaviour may lead…

Methodology · Statistics 2021-04-08 Roberto Colombi , Sabrina Giordano , Anna Gottard , Maria Iannario

We study the dynamics of a system made up of particles of two different species undergoing irreversible quadratic autocatalytic reactions: $A + B \to 2A$. We especially focus on the reaction velocity and on the average time at which the…

Statistical Mechanics · Physics 2008-12-01 E. Agliari , R. Burioni , D. Cassi , F. M. Neri

Background: The idea that autocatalytic sets played an important role in the origin of life is not new. However, the likelihood of autocatalytic sets emerging spontaneously has long been debated. Recently, progress has been made along two…

Molecular Networks · Quantitative Biology 2012-11-16 Wim Hordijk , Mike Steel

The impact of machine learning models on healthcare will depend on the degree of trust that healthcare professionals place in the predictions made by these models. In this paper, we present a method to provide people with clinical expertise…

Machine Learning · Computer Science 2021-03-05 Aniruddh Raghu , John Guttag , Katherine Young , Eugene Pomerantsev , Adrian V. Dalca , Collin M. Stultz

Pattern formation in biological tissues plays an important role in the development of living organisms. Since the classical work of Alan Turing, a pre-eminent way of modelling has been through reaction-diffusion mechanisms. More recently,…

Analysis of PDEs · Mathematics 2023-01-27 Alexey Kazarnikov , Robert Scheichl , Heikki Haario , Anna Marciniak-Czochra