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We propose a numerical technique for parameter inference in Markov models of biological processes. Based on time-series data of a process we estimate the kinetic rate constants by maximizing the likelihood of the data. The computation of…

Quantitative Methods · Quantitative Biology 2011-02-15 Aleksandr Andreychenko , Linar Mikeev , David Spieler , Verena Wolf

Multi-agent techniques such as role playing or multi-turn debates have been shown to be effective in improving the performance of large language models (LLMs) in downstream tasks. Despite their differences in workflows, existing multi-agent…

Computation and Language · Computer Science 2025-09-25 Yichen Tang , Weihang Su , Yujia Zhou , Yiqun Liu , Min Zhang , Shaoping Ma , Qingyao Ai

A molecule traveling in a realistic propagation environment can experience stochastic interactions with other molecules and the environment boundary. The statistical behavior of some isolated phenomena, such as dilute unbounded molecular…

Chemical Physics · Physics 2015-05-20 Adam Noel , Karen C. Cheung , Robert Schober

Searching for reaction pathways describing rare events in large systems presents a long-standing challenge in chemistry and physics. Incorrectly computed reaction pathways result in the degeneracy of microscopic configurations and inability…

Chemical Physics · Physics 2019-06-18 J. Rydzewski , O. Valsson

Reaction networks are a general formalism for describing collections of classical entities interacting in a random way. While reaction networks are mainly studied by chemists, they are equivalent to Petri nets, which are used for similar…

Mathematical Physics · Physics 2021-11-23 John C. Baez

Let $X$ be a chemical reaction process, modeled as a multi-dimensional continuous-time jump process. Assume that at given times $0< t_1 < \cdots <t_n$, linear combinations $v_i = L_i X(t_i),\, i=1,\dots ,n$ are observed for given matrices…

Probability · Mathematics 2025-03-19 Marc Corstanje , Frank van der Meulen

Chemical reaction networks underpin biological and physical phenomena across scales, from microbial interactions to planetary atmosphere dynamics. Bacterial communities exhibit complex competitive interactions for resources, human organs…

Molecular Networks · Quantitative Biology 2026-01-08 Jorge Reyes , Jörn Dunkel

This work presents a novel diffusion based dual-phase molecular communication system where the source leverages multiple cooperating nanomachines to improve the end-to-end reliability of communication. The Neyman-Pearson Likelihood Ratio…

Information Theory · Computer Science 2017-10-17 Neeraj Varshney , Adarsh Patel , Aditya K. Jagannatham

A polarizable environment, prominently the solvent, responds to electronic changes in biomolecules rapidly. The knowledge of conformational relaxation of the biomolecule itself, however, may be scarce or missing. In this work, we describe…

Chemical Physics · Physics 2017-09-07 Michal H. Kolář , Tomáš Kubař

An important question that often arises in the operation of networked systems is whether to collect the real-time data or to estimate them based on the previously collected data. Various factors should be taken into account such as how…

Optimization and Control · Mathematics 2021-03-30 Jalal Arabneydi , Amir G. Aghdam

Cells can utilize chemical communication to exchange information and coordinate their behavior in the presence of noise. Communication can reduce noise to shape a collective response, or amplify noise to generate distinct phenotypic…

Molecular Networks · Quantitative Biology 2019-09-24 David T. Gonzales , T-Y Dora Tang , Christoph Zechner

Mutual information is a theoretically grounded metric for quantifying cellular signaling pathways. However, its measurement demands characterization of both input and output distributions, limiting practical applications. Here, we present…

Quantitative Methods · Quantitative Biology 2025-07-08 Kento Nakamura , Hajime Fukuoka , Akihiko Ishijima , Tetsuya J. Kobayashi

Transition path theory provides a statistical description of the dynamics of a reaction in terms of local spatial quantities. In its original formulation, it is limited to reactions that consist of trajectories flowing from a reactant set A…

Data Analysis, Statistics and Probability · Physics 2022-09-21 Chatipat Lorpaiboon , Jonathan Weare , Aaron R. Dinner

Chemical reaction networks offer a natural nonlinear generalisation of linear Markov jump processes on a finite state-space. In this paper, we analyse the dynamical large deviations of such models, starting from their microscopic version,…

Statistical Mechanics · Physics 2019-09-04 Alexandre Lazarescu , Tommaso Cossetto , Gianmaria Falasco , Massimiliano Esposito

Exposing meaningful and interpretable neural interactions is critical to understanding neural circuits. Inferred neural interactions from neural signals primarily reflect functional interactions. In a long experiment, subject animals may…

Neurons and Cognition · Quantitative Biology 2023-10-25 Chengrui Li , Soon Ho Kim , Chris Rodgers , Hannah Choi , Anqi Wu

Inspired by biological communication systems, molecular communication has been proposed as a viable scheme to communicate between nano-sized devices separated by a very short distance. Here, molecules are released by the transmitter into…

Biological Physics · Physics 2016-11-15 Sachin Kadloor , Raviraj S. Adve , Andrew W. Eckford

Molecular communication between biological entities is a new paradigm in communications. Recently, we studied molecular communication between two nodes formed from synthetic bacteria. Due to high randomness in behavior of bacteria, we used…

Emerging Technologies · Computer Science 2014-10-07 Arash Einolghozati , Mohsen Sardari , Faramarz Fekri

Large language models (LLMs) are commonly evaluated on challenging benchmarks such as AIME and Math500, where benchmark contamination can make memorized solutions appear as genuine reasoning. Existing detection methods largely rely on…

Computation and Language · Computer Science 2026-05-12 Zirui He , Haiyan Zhao , Yingcong Li , Ali Payani , Mengnan du

Motivation: Cell-biological processes are regulated through a complex network of interactions between genes and their products. The processes, their activating conditions, and the associated transcriptional responses are often unknown.…

Molecular Networks · Quantitative Biology 2012-02-03 Leo Lahti , Juha E. A. Knuuttila , Samuel Kaski

Statistical models have been successful in accurately estimating the biochemical contents of vegetation from the reflectance spectra. However, their performance deteriorates when there is a scarcity of sizable amount of ground truth data…

Computer Vision and Pattern Recognition · Computer Science 2019-07-16 Utsav B. Gewali , Sildomar T. Monteiro
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