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Using the time periodic ABCD parameters, an expression for the dispersion relation of space-time modulated structures is obtained. The relation is valid for general structures even when the spatial granularity is comparable to the operating…

Applied Physics · Physics 2023-07-19 Sameh Y. Elnaggar , Gregory N. Milford

Using an asymmetric associative network with synchronous updating, it is possible to recall a sequence of patterns. To obtain a stable sequence generation with a large storage capacity, we introduce a threshold that eliminates the…

comp-gas · Physics 2008-02-03 F. Zertuche , R. López-Peña , H. Waelbroeck

Capsule networks excel in understanding spatial relationships in 2D data for vision related tasks. Even though they are not designed to capture 1D temporal relationships, with TimeCaps we demonstrate that given the ability, capsule networks…

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

Turing patterns play a fundamental role in morphogenesis and population dynamics, encoding key information about the underlying biological mechanisms. Yet, traditional inverse problems have largely relied on non-biological data such as…

Analysis of PDEs · Mathematics 2025-09-10 Yuhan Li , Hongyu Liu , Catharine W. K. Lo

Partial Differential Equations are infinite dimensional encoded representations of physical processes. However, imbibing multiple observation data towards a coupled representation presents significant challenges. We present a fully…

Machine Learning · Computer Science 2020-03-09 Gurpreet Singh , Soumyajit Gupta , Matt Lease , Clint N. Dawson

Biomolecular condensates form on timescales of seconds in cells upon environmental or compositional changes. Condensate formation is thus argued to act as a mechanism for sensing such changes and quickly initiating downstream processes,…

Subcellular Processes · Quantitative Biology 2025-12-09 Henry Alston , Mason Rouches , Arvind Murugan , Aleksandra M. Walczak , Thierry Mora

Oscillatory chemical reactions often serve as a timing clock of cellular processes in living cells. The temporal dynamics of protein concentration levels is thus of great interest in biology. Here we propose a theoretical framework to…

Systems and Control · Computer Science 2015-03-20 Yutaka Hori , Shinji Hara

Quantitatively predictive models of biomolecular circuits are important tools for the design of synthetic biology and molecular communication circuits. The information content of typical time-lapse single-cell data for the inference of…

Molecular Networks · Quantitative Biology 2021-01-11 Tim Prangemeier , Christian Wildner , Maleen Hanst , Heinz Koeppl

We demonstrate that the information contained in the spike occurrence times of a population of neurons can be broken up into a series of terms, each of which reflect something about potential coding mechanisms. This is possible in the…

Biological Physics · Physics 2007-05-23 S. Panzeri , S. R. Schultz

Little is known theoretically about the associative memory capabilities of neural networks in which information is encoded not only in the mean firing rate but also in the timing of firings. Particularly, in the case that the fraction of…

Disordered Systems and Neural Networks · Physics 2009-10-31 Toshio Aoyagi , Masaki Nomura

The knowledge of cell molecular mechanisms implicated in human diseases is expanding and should be converted into guidelines for deciphering pathological cell signaling and suggesting appropriate treatment. The basic assumption is that…

Molecular Networks · Quantitative Biology 2015-12-17 Inna Kuperstein

Chronic diseases can greatly benefit from bioelectronic medicine approaches. Neuromorphic electronic circuits present ideal characteristics for the development of brain-inspired low-power implantable processing systems that can be…

Emerging Technologies · Computer Science 2021-02-22 Elisa Donati , Renate Krause , Giacomo Indiveri

Living cells often need to measure chemical concentrations that vary in time. To this end, they deploy many resources, e.g. receptors, downstream signaling molecules, time and energy. Here, we present a theory for the optimal design of a…

Molecular Networks · Quantitative Biology 2019-02-26 G. Malaguti , P. R. ten Wolde

Cell motility is one of the most fundamental phenomena underlying biological processes that maintain living organisms alive. Here we introduce a simple model to describe the motility of cells which include not only time-correlated internal…

Biological Physics · Physics 2022-07-13 T. N. Azevedo , L. G. Rizzi

The growing popularity of wearable sensors has generated large quantities of temporal physiological and activity data. Ability to analyze this data offers new opportunities for real-time health monitoring and forecasting. However, temporal…

Signal Processing · Electrical Eng. & Systems 2021-06-02 Nazgol Tavabi , Kristina Lerman

Computational analysis of time-course data with an underlying causal structure is needed in a variety of domains, including neural spike trains, stock price movements, and gene expression levels. However, it can be challenging to determine…

Artificial Intelligence · Computer Science 2012-05-14 Samantha Kleinberg , Bud Mishra

A novel framework is proposed for handling the complex task of modelling and analysis of longitudinal, multivariate, heterogeneous clinical data. This method uses temporal abstraction to convert the data into a more appropriate form for…

Machine Learning · Computer Science 2025-05-09 Annette Spooner , Gelareh Mohammadi , Perminder S. Sachdev , Henry Brodaty , Arcot Sowmya

Within the domain of molecular communications, researchers mimic the techniques in nature to come up with alternative communication methods for collaborating nanomachines. This work investigates the channel transfer function for molecular…

Information Theory · Computer Science 2014-04-18 H. Birkan Yilmaz , Akif Cem Heren , Tuna Tugcu , Chan-Byoung Chae

Neural activity fluctuates over a wide range of timescales within and across brain areas. Experimental observations suggest that diverse neural timescales reflect information in dynamic environments. However, how timescales are defined and…

Neurons and Cognition · Quantitative Biology 2026-01-21 Roxana Zeraati , Anna Levina , Jakob H. Macke , Richard Gao