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Timing is of fundamental importance in biology and our life. Borrowing ideas from mechanism, we map our clock signals onto a gear system, in pursuit of better depiction of a clock signal implemented with chemical reaction networks (CRNs).…

Molecular Networks · Quantitative Biology 2018-02-23 Chuan Zhang , Lulu Ge , Xiaohu You

A method for engineering the behavior of populations of rhythmic elements is presented. The framework, which is based on phase models, allows a nonlinear time-delayed global feedback signal to be constructed which produces an interaction…

Adaptation and Self-Organizing Systems · Physics 2010-10-26 Hiroshi Kori , Craig G. Rusin , Istvan Z. Kiss , John L. Hudson

Embedding efficient calculation instructions into biochemical system has always been a research focus in synthetic biology. One of the key problems is how to sequence the chemical reaction modules that act as units of computation and make…

Dynamical Systems · Mathematics 2023-03-01 Xiaopeng Shi , Chuanhou Gao , Denis Dochain

Embedding efficient command operation into biochemical system has always been a research focus in synthetic biology. One of the key problems is how to sequence the chemical reactions that act as units of computation. The answer is to design…

Dynamical Systems · Mathematics 2022-09-08 Xiaopeng Shi , Chuanhou Gao

Clock synchronisation relies on time-frequency transfer procedures which involve quantum fields. We use the conformal symmetry of such fields to define as quantum operators the time and frequency exchanged in transfer procedures and to…

Quantum Physics · Physics 2009-10-30 Marc-Thierry Jaekel , Serge Reynaud

Early scheduling algorithms usually adjusted the clock cycle duration to the execution time of the slowest operation. This resulted in large slack times wasted in those cycles executing faster operations. To reduce the wasted times…

Hardware Architecture · Computer Science 2011-11-09 R. Ruiz-Sautua , M. C. Molina , J. M. Mendias , R. Hermida

We present a (semi)-algorithm to compute winning strategies for parametric timed games. Previous algorithms only synthesized constraints on the clock parameters for which the game is winning. A new definition of (winning) strategies is…

Formal Languages and Automata Theory · Computer Science 2025-06-19 Mikael Bisgaard Dahlsen-Jensen , Baptiste Fievet , Laure Petrucci , Jaco van de Pol

Biochemical reactions are fundamentally noisy at a molecular scale. This limits the precision of reaction networks, but also allows fluctuation measurements which may reveal the structure and dynamics of the underlying biochemical network.…

Biological Physics · Physics 2018-04-11 Harmen Wierenga , Pieter Rein ten Wolde , Nils B. Becker

Periodic signals play an important role in daily lives. Although conventional sequential models have shown remarkable success in various fields, they still come short in modeling periodicity; they either collapse, diverge or ignore details.…

Neural and Evolutionary Computing · Computer Science 2021-11-29 Jiyoung Lee , Wonjae Kim , Daehoon Gwak , Edward Choi

The temporal behaviour of segmentation clock oscillations show phase synchrony via mean field like coupling of delta protein restricting to nearest neighbours only, in a configuration of cells arranged in a regular three dimensional array.…

The accuracy of the time information generated by clocks can be enhanced by allowing them to communicate with each other. Here we consider a basic scenario where a quantum clock receives a low-accuracy time signal as input and ask whether…

Quantum Physics · Physics 2019-12-04 Yuxiang Yang , Lennart Baumgärtner , Ralph Silva , Renato Renner

In this paper, we propose a formal controller synthesis approach for integrating a population of plug-in electric vehicles in frequency regulation of power systems. This approach is the first application of formal methods to the smart grids…

Systems and Control · Electrical Eng. & Systems 2020-10-16 Ben Wooding , Vahid Vahidinasab , Sadegh Soudjani

The Synchrosqueezing transform is a time-frequency analysis method that can decompose complex signals into time-varying oscillatory components. It is a form of time-frequency reassignment that is both sparse and invertible, allowing for the…

Computational Engineering, Finance, and Science · Computer Science 2014-05-01 Gaurav Thakur

Distributed wireless clock synchronization is essential for aligning the clocks of distributed transceivers in support of joint transmission and reception techniques. One recently explored method involves synchronizing distributed…

Signal Processing · Electrical Eng. & Systems 2025-10-01 Kumar Sai Bondada , Hiten Kothari , Yibin Liang , Daniel J. Jakubisin , R. Michael Buehrer

Electrical engineering and molecular programming share many of the same mathematical foundations. In this paper, we show how to send multiple signals through a single pair of chemical species using modulation and demodulation techniques…

Emerging Technologies · Computer Science 2020-09-16 Titus H. Klinge , James I. Lathrop

A low-power integer-N frequency synthesizer for flexible on-chip clock generation has been designed in 65 nm CMOS technology. The circuit can be programmed to generate two independent low-jitter clocks between 30 MHz and 3 GHz that are…

Signal Processing · Electrical Eng. & Systems 2025-01-16 Soumyajit Mandal , Piotr Maj , Grzegorz W. Deptuch

Circadian rhythms are archetypical examples of nonlinear oscillations. While these oscillations are usually attributed to circuits of biochemical interactions among clock genes and proteins, recent experimental studies reveal that they are…

Cell Behavior · Quantitative Biology 2023-06-27 Keith E. Kennedy , Juan F. Abenza , Leone Rossetti , Xavier Trepat , Pablo Villoslada , Jordi Garcia-Ojalvo

In neutral atom optical clocks, the higher-order atomic polarizability terms lead to the clock transition frequency shift which is motion-state dependent and nonlinear with the optical lattice depth. We propose to use an auxiliary optical…

Atomic Physics · Physics 2024-02-06 Artem Golovizin

This paper deals with the modeling of non-stationary signals, from the point of view of signal synthesis. A class of random, non-stationary signals, generated by synthesis from a random timescale representation, is introduced and studied.…

Soft Condensed Matter · Physics 2022-11-09 Adrien Meynard , Bruno Torrésani

This study puts forward a generalization of the short-time Fourier-based Synchrosqueezing Transform using a new local estimate of instantaneous frequency. Such a technique enables not only to achieve a highly concentrated time-frequency…

Signal Processing · Electrical Eng. & Systems 2020-04-21 Duong-Hung Pham , Sylvain Meignen
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