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Mathematical models are an important tool for neuroscientists. During the last thirty years many papers have appeared on single neuron description and specifically on stochastic Integrate and Fire models. Analytical results have been proved…

Probability · Mathematics 2011-01-31 Laura Sacerdote , Maria Teresa Giraudo

We present a brief overview of recent developments in ab initio calculations of nuclear scattering and reactions with a focus on applications of the no-core shell model with continuum method.

Nuclear Theory · Physics 2021-01-21 Sofia Quaglioni , Petr Navratil

The first part of the paper discusses nuclear properties relevant to predict compound reactions. The second part addresses direct reactions with special emphasis on direct neutron capture.

Astrophysics · Physics 2009-06-25 T. Rauscher

A neuron transforms its input into output spikes, and this transformation is the basic unit of computation in the nervous system. The spiking response of the neuron to a complex, time-varying input can be predicted from the detailed…

Neurons and Cognition · Quantitative Biology 2011-12-19 Michael Famulare , Adrienne Fairhall

Classes of kinetic differential equations are delineated which do have a quadratic first integral, and classes which can not have one. Example reactions corresponding to the obtained kinetic differential equations are shown, and a few…

Classical Analysis and ODEs · Mathematics 2013-07-31 I. Nagy , J. Tóth

The goal of this paper is to gather and develop some necessary and sufficient criteria for injectivity and multistationarity in vector fields associated with a chemical reaction network under a variety of more or less general assumptions on…

Dynamical Systems · Mathematics 2016-10-28 Murad Banaji , Casian Pantea

Recent developments in using electromagnetic meson production reactions to study the structure of nucleon resonances are reviewed. Possible future works are discussed.

Nuclear Theory · Physics 2008-11-26 T. -S. H. Lee , L. C. Smith

We study the reactive synthesis problem for distributed systems with an unbounded number of participants interacting with an uncontrollable environment. Executions of those systems are modeled by data words, and specifications are given as…

Logic in Computer Science · Computer Science 2024-04-24 Julien Grange , Mathieu Lehaut

This PhD thesis deals with a number of different problems in mathematical physics with the common thread that they have probabilistic aspects. The problems all stem from mathematical studies of lattice systems in statistical and quantum…

Mathematical Physics · Physics 2023-12-15 Frederik Ravn Klausen

Causal reasoning is a cornerstone of human intelligence and a critical capability for artificial systems aiming to achieve advanced understanding and decision-making. This thesis delves into various dimensions of causal reasoning and…

Computation and Language · Computer Science 2025-04-22 Zhijing Jin

There is significant interest in using modern neural networks for scientific applications due to their effectiveness in modeling highly complex, non-linear problems in a data-driven fashion. However, a common challenge is to verify the…

Computational Physics · Physics 2019-10-07 Rushil Anirudh , Jayaraman J. Thiagarajan , Shusen Liu , Peer-Timo Bremer , Brian K. Spears

We report the first study of a network of connected enzyme-catalyzed reactions, with added chemical and enzymatic processes that incorporate the recently developed biochemical filtering steps into the functioning of this biocatalytic…

Molecular Networks · Quantitative Biology 2013-12-17 Vladimir Privman , Oleksandr Zavalov , Lenka Halamkova , Fiona Moseley , Jan Halamek , Evgeny Katz

The primary goal of this paper is to characterize solutions to coupled reaction-diffusion systems. Indeed, we use operators theory to show that under suitable assumptions, then the solutions to the reaction-diffusion equations exist. As…

Analysis of PDEs · Mathematics 2007-05-23 Toka Diagana

Neutrino physics is now poised to move into the precision regime. Active attempts are under way to commence the era of precision neutrino measurement science which will surely widen the horizon of our knowledge about neutrinos. A number of…

High Energy Physics - Phenomenology · Physics 2009-08-31 Sanjib Kumar Agarwalla

Interest in first-principles calculations within the multiferroic community has been rapidly on the rise over the last decade. Initially considered as a powerful support to explain experimentally observed behaviours, the trend has evolved…

Materials Science · Physics 2015-06-23 Julien Varignon , Nicholas C. Bristowe , Eric Bousquet , Philippe Ghosez

Writing and argumentation are critical to both professional physics and physics education. However, the skill of making an extended argument in writing is often overlooked in physics classrooms, apart from certain practices like lab…

Physics Education · Physics 2020-06-19 Tor Ole B. Odden , John Burk

Receptor-induced apoptosis is a complex signal transduction pathway involving numerous protein/protein interactions and post-transcriptional modifications. The response to death receptor stimulation varies significantly from one cell line…

Quantitative Methods · Quantitative Biology 2017-12-20 François Bertaux , Dirk Drasdo , Gregory Batt

We review progress on questions related to front propagation into unstable states and point out open problems in the area. We strive to highlight different theoretical perspectives and challenges while also addressing more practical…

Analysis of PDEs · Mathematics 2026-05-12 Montie Avery , Matt Holzer , Arnd Scheel

Molecular motors are in charge of almost every process in the life cycle of cells, such as protein synthesis, DNA replication, and cell locomotion, hence being of crucial importance for understanding the cellular dynamics. However, given…

Statistical Mechanics · Physics 2025-09-05 Adrián Nadal-Rosa , Gonzalo Manzano

The goal of this Section is to formulate some of the basic results on the theory of integral equations and mention some of its applications. The literature of this subject is very large. Proofs are not given due to the space restriction.…

Classical Analysis and ODEs · Mathematics 2015-03-03 A. G. Ramm