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Embedding sequential computations in biochemical environments is challenging because the computations are carried out by chemical reactions, which are inherently disordered. In this paper we apply modular design to specific calculations…

Molecular Networks · Quantitative Biology 2024-01-05 Xiaopeng Shi , Chuanhou Gao , Denis Dochain

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

We study chemical oscillators in the presence of phase separation. By imposing timescale separation between slow reactions and fast diffusion, we define a dynamics at phase equilibrium for the relevant degrees of freedom. We demonstrate…

Soft Condensed Matter · Physics 2025-07-23 Jonathan Bauermann , Giacomo Bartolucci , Artemy Kolchinsky

Oscillatory chemical reactions are functional components in a variety of biological contexts. In chemistry, the construction and identification of even rudimentary oscillators remain elusive and lack a general framework. Using…

Molecular Networks · Quantitative Biology 2025-10-10 Alexander Blokhuis , Peter F. Stadler , Nicola Vassena

Bioreactors are widely used in many industries to generate a range of products using various host cells e.g., yeast, insect, and mammalian cells. Depending on the process, product, and host cell, some bioreactors exhibit sustained periodic…

Quantitative Methods · Quantitative Biology 2023-06-29 Pavan Inguva , Krystian Ganko , Alexis B. Dubs , Richard D. Braatz

Due to the intrinsic complexity and nonlinearity of chemical reactions, direct applications of traditional machine learning algorithms may face with many difficulties. In this study, through two concrete examples with biological background,…

Molecular Networks · Quantitative Biology 2020-06-02 Wuyue Yang , Liangrong Peng , Yi Zhu , Liu Hong

Phase-separated liquid condensates can spatially organize and thereby regulate chemical processes. However, the physicochemical mechanisms underlying such regulation remain elusive as the intramolecular interactions responsible for phase…

Soft Condensed Matter · Physics 2024-03-11 Sudarshana Laha , Jonathan Bauermann , Frank Jülicher , Thomas C. T. Michaels , Christoph A. Weber

Chemical reactions modeled by ordinary differential equations are finite-dimensional dissipative dynamical systems with multiple time-scales. They are numerically hard to tackle -- especially when they enter an optimal control problem as…

Optimization and Control · Mathematics 2017-03-27 Marcus Heitel , Dirk Lebiedz

Oscillating chemical reactions result from complex periodic changes in the concentration of the reactants. In spatially ordered ensembles of candle flame oscillators the fluctuations in the ratio of oxygen atoms with respect to that of…

Chemical Physics · Physics 2016-06-07 Derek Michael Forrester

Molecular circuits capable of autonomous learning could unlock novel applications in fields such as bioengineering and synthetic biology. To this end, existing chemical implementations of neural computing have mainly relied on emulating…

Machine Learning · Computer Science 2025-09-23 Rajiv Teja Nagipogu , John H. Reif

This paper is centered on using chemical reaction as a computational metaphor for simultaneously solving problems. An artificial chemical reactor that can simultaneously solve instances of three unrelated problems was created. The reactor…

Emerging Technologies · Computer Science 2015-06-30 Jaderick P. Pabico

The precise control of complex reactions is critical for biological processes yet our inability to design for specific outcomes limits the development of synthetic analogues. Here, we leverage differentiable simulators to design nontrivial…

Soft Condensed Matter · Physics 2025-05-13 Ryan Krueger , Ella King , Michael Brenner

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

Robust coordination and organization in large ensembles of nonlinear oscillatory units play a vital role in a wide range of natural and engineered system. The control of self-organizing network-coupled systems has recently seen significant…

Adaptation and Self-Organizing Systems · Physics 2022-10-04 Per Sebastian Skardal , Alex Arenas

Oscillatory activity is ubiquitous in natural and engineered network systems. The interaction scheme underlying interdependent oscillatory components governs the emergence of network-wide patterns of synchrony that regulate and enable…

Adaptation and Self-Organizing Systems · Physics 2022-08-12 Tommaso Menara , Giacomo Baggio , Danielle S. Bassett , Fabio Pasqualetti

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

Limit cycles are self-sustained, closed trajectories in phase space representing (un)-stable, periodic behavior in nonlinear dynamical systems. They underpin diverse natural phenomena, from neuronal firing patterns to engineering…

Adaptation and Self-Organizing Systems · Physics 2025-08-15 Sandip Saha , Suvam Pal , Dibakar Ghosh

In recent years, the modeling interest has increased significantly from the molecular level to the atomic and quantum scale. The field of computational chemistry plays a significant role in designing computational models for the operation…

Formal Languages and Automata Theory · Computer Science 2020-07-09 Amandeep Singh Bhatia , Shenggen Zheng

The exploration of deep neural networks for optimal control has gathered a considerable amount of interest in recent years. Here, we utilize deep reinforcement learning to control individual evolutions of coupled harmonic oscillators in an…

Quantum Physics · Physics 2024-08-23 Sampreet Kalita , Amarendra K. Sarma
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