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A current constrained approach is proposed to calculate negative differential conductance in molecular nano-junctions. A four-site junction is considered where a steady-state current is forced by inserting only the two central sites within…

Mesoscale and Nanoscale Physics · Physics 2016-11-26 Prakash Parida , Swapan K. Pati , Anna Painelli

In this paper, we report on the controllable negative differential resistance (NDR) in a proposed planar graphene superlattice structure. High value of peak to valley ratio (PVR) is predicted. This is significant because of appearance of…

Mesoscale and Nanoscale Physics · Physics 2017-03-02 S. M. Sattari-Esfahlan , J. Fouladi-Oskuei , S. Shojaei

This paper investigates an open issue related to false discovery rate (FDR) control of step-up-down (SUD) multiple testing procedures. It has been established in earlier literature that for this type of procedure, under some broad…

Methodology · Statistics 2011-08-29 Gilles Blanchard , Thorsten Dickhaus , Etienne Roquain , Fanny Villers

We propose a unified framework that allows for the full mechanistic reconstruction of chemical reaction networks (CRNs) from concentration data. The framework utilizes an integral formulation of the differential equations governing the…

Numerical Analysis · Mathematics 2026-02-13 Abraham Reyes-Velazquez , Stefan Güttel , Igor Larrosa , Jonas Latz

A natural condition on the structure of the underlying chemical reaction network, namely weak reversibility, is shown to guarantee the existence of an equilibrium (steady state) in each positive stoichiometric compatibility class for the…

Quantitative Methods · Quantitative Biology 2011-11-14 Jian Deng , Christopher Jones , Martin Feinberg , Adrian Nachman

Chemical systems are interpreted through the species they contain and the reactions they may undergo, i.e., their chemical reaction network (CRN). In spite of their central importance to chemistry, the structure of CRNs continues to be…

Statistical Mechanics · Physics 2025-06-17 Alex Blokhuis , Martijn van Kuppeveld , Daan van de Weem , Robert Pollice

The linear noise approximation (LNA) describes the random fluctuations from the mean-field concentrations of a chemical reaction network due to intrinsic noise. It is also used as a test probe to determine the accuracy of reduced…

Molecular Networks · Quantitative Biology 2025-11-27 Justin Eilertsen , Wylie Stroberg

We explore the range of probabilistic behaviours that can be engineered with Chemical Reaction Networks (CRNs). We show that at steady state CRNs are able to "program" any distribution with finite support in $\mathbb{N}^m$, with $m \geq 1$.…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-25 Luca Cardelli , Marta Kwiatkowska , Luca Laurenti

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

Interacting-Particle Reaction Dynamics (iPRD) simulates the spatiotemporal evolution of particles that experience interaction forces and can react with one another. The combination of interaction forces and reactions enable a wide range of…

Chemical Physics · Physics 2018-07-20 Christoph Fröhner , Frank Noé

The dissipativity concept sits at the intersection of physics, systems theory, and control engineering, as a natural generalisation of passive systems that dissipate energy. It relates the external behavior of systems to their internal…

Optimization and Control · Mathematics 2024-10-28 Timothy H. Hughes , Edward H. Branford

Autocatalytic Sets are reaction networks theorised as networks at the basis of life. Their main feature is the ability of spontaneously emerging and self-reproducing. The Reflexively and Food-generated theory provides a formal definition of…

Molecular Networks · Quantitative Biology 2020-10-19 Alessandro Ravoni

This paper develops the concept of decomposition for chemical reaction networks, based on which a network decomposition technique is proposed to capture the stability of large-scale networks characterized by a high number of species, high…

Dynamical Systems · Mathematics 2021-02-23 Yafei Lu , Chuanhou Gao , Denis Dochain

The most profound effect of disorder on the elastic response of solids is the nonaffinity of local displacements whereby the atoms (particles, network junctions) do not simply follow the macroscopic strain, as they do in perfect crystals,…

Soft Condensed Matter · Physics 2012-01-12 Alessio Zaccone , Jamie R. Blundell , Eugene M. Terentjev

Deep learning-based drug response prediction (DRP) methods can accelerate the drug discovery process and reduce R\&D costs. Although the mainstream methods achieve high accuracy in predicting response regression values, the regression-aware…

Biomolecules · Quantitative Biology 2023-12-19 Kun Li , Wenbin Hu

Many components used in signal processing and communication applications, such as power amplifiers and analog-to-digital converters, are nonlinear and have a finite dynamic range. The nonlinearity associated with these devices distorts the…

Information Theory · Computer Science 2014-10-29 Kai Ying , Zhenhua Yu , Robert J. Baxley , G. Tong Zhou

Chemical reaction prediction remains a fundamental challenge in organic chemistry, where existing machine learning models face two critical limitations: sensitivity to input permutations (molecule/atom orderings) and inadequate modeling of…

Machine Learning · Computer Science 2026-02-03 Runhan Shi , Letian Chen , Gufeng Yu , Yang Yang

We introduce a novel Pseudo-Negative Regularization (PNR) framework for effective continual self-supervised learning (CSSL). Our PNR leverages pseudo-negatives obtained through model-based augmentation in a way that newly learned…

Machine Learning · Computer Science 2024-06-10 Sungmin Cha , Kyunghyun Cho , Taesup Moon

This paper develops a new analytical model to estimate real-time variations in grid frequency and voltages resulting from dynamic network reconfiguration (DNR). In the proposed model, switching operations are considered as discrete…

Systems and Control · Electrical Eng. & Systems 2020-12-15 Jae-Young Park , Young-Jin Kim

The subject of study is a neural network with binary neurons, randomly diluted synapses and variable pattern activity. We look at the system with parallel updating using a probabilistic approach to solve the one step dynamics with one…

Disordered Systems and Neural Networks · Physics 2009-10-31 Stefan Grosskinsky