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Quorum sensing is the regulation of gene expression in response to changes in cell density. To measure their cell density, bacterial populations produce and detect diffusible molecules called autoinducers. Individual bacteria internally…

Molecular Networks · Quantitative Biology 2017-04-12 Thibaud Taillefumier , Ned S. Wingreen

To facilitate a rapid response to pandemic threats, this paper focuses on developing a mechanistic simulation model for in vitro transcription (IVT) process, a crucial step in mRNA vaccine manufacturing. To enhance production and support…

Molecular Networks · Quantitative Biology 2023-06-22 Keqi Wang , Wei Xie , Hua Zheng

Many networks used in machine learning and as models of biological neural networks make use of stochastic neurons or neuron-like units. We show that stochastic artificial neurons can be realized on silicon chips by exploiting the…

Neural and Evolutionary Computing · Computer Science 2015-12-10 Hesham Mostafa , Giacomo Indiveri

Analysis of large continuous-time stochastic systems is a computationally intensive task. In this work we focus on population models arising from chemical reaction networks (CRNs), which play a fundamental role in analysis and design of…

Systems and Control · Computer Science 2019-05-27 Milan Češka , Jan Křetínský

The present paper proposes a novel method of quantification of the variation in biofilm architecture, in correlation with the alteration of growth conditions that include, variations of substrate and conditioning layer. The polymeric…

Biological Physics · Physics 2018-01-30 Suparna Dutta Sinha , Saptarshi Das , Sujata Tarafdar , Tapati Dutta

In order to fully exploit the potential of molecular communication (MC) for intra-body communication, practically implementable cellular receivers are an important long-term goal. A variety of receiver architectures based on chemical…

Emerging Technologies · Computer Science 2023-05-11 Bastian Heinlein , Lukas Brand , Malcolm Egan , Maximilian Schäfer , Robert Schober , Sebastian Lotter

In biochemical networks, reactions often occur on disparate timescales and can be characterized as either "fast" or "slow." The quasi-steady state approximation (QSSA) utilizes timescale separation to project models of biochemical networks…

Molecular Networks · Quantitative Biology 2015-06-19 Jae Kyoung Kim , Krešimir Josić , Matthew R. Bennett

A stochastic model is used to assess the effect of external parameters on the development of submerged biofilms on smooth and rough surfaces. The model includes basic cellular mechanisms, such as division and spreading, together with an…

Soft Condensed Matter · Physics 2024-01-17 David Rodriguez , Baldvin Einarsson , Ana Carpio

Single-cell studies often show significant phenotypic variability due to the stochastic nature of intra-cellular biochemical reactions. When the numbers of molecules, e.g., transcription factors and regulatory enzymes, are in low abundance,…

Quantitative Methods · Quantitative Biology 2015-06-17 Kyung Hyuk Kim , Hong Qian , Herbert M. Sauro

Noisy quantum simulation is challenging since one has to take into account the stochastic nature of the process. The dominating method for it is the density matrix approach. In this paper, we evaluate conditions for which this method is…

Quantum Physics · Physics 2022-10-31 William Berquist , Danylo Lykov , Minzhao Liu , Yuri Alexeev

MC networks are envisioned to enable synthetic information exchange between nanoscale biological entities. For many algorithm proposals in the MC research field, the question of implementation at nanoscales and in biological environments…

Emerging Technologies · Computer Science 2026-03-13 Alexander Wietfeld , Oguz Turgut , Eneritz Somoza Rodríguez , Wolfgang Kellerer

In this paper we derive several quasi steady-state approximations (QSSAs) to the stochastic reaction network describing the Michaelis-Menten enzyme kinetics. We show how the different assumptions about chemical species abundance and…

Molecular Networks · Quantitative Biology 2017-11-09 Hye-Won Kang , Wasiur R. KhudaBukhsh , Heinz Koeppl , Grzegorz A. Rempała

Bacteria are ubiquitous in our daily lives, either as motile planktonic cells or as immobilized surface-attached biofilms. These different phenotypic states play key roles in agriculture, environment, industry, and medicine; hence, it is…

Populations and Evolution · Quantitative Biology 2021-12-07 Jenna A. Ott , Selena Chiu , Daniel B. Amchin , Tapomoy Bhattacharjee , Sujit S. Datta

A major hurdle in the simulation of the steady state of epidemic processes is that the system will unavoidably visit an absorbing, disease-free state at sufficiently long times due to the finite size of the networks where epidemics evolves.…

Physics and Society · Physics 2016-10-19 Renan S. Sander , Guilherme S. Costa , Silvio C. Ferreira

Accurate modeling of bacterial biofilm growth is essential for understanding their complex dynamics in biomedical, environmental, and industrial settings. These dynamics are shaped by a variety of environmental influences, including the…

Computational Engineering, Finance, and Science · Computer Science 2025-12-18 Lukas Fritsch , Hendrik Geisler , Jan Grashorn , Felix Klempt , Meisam Soleimani , Matteo Broggi , Philipp Junker , Michael Beer

To support mechanism online learning and facilitate digital twin development for biomanufacturing processes, this paper develops an efficient Bayesian inference approach for partially observed enzymatic stochastic reaction network (SRN), a…

Machine Learning · Statistics 2024-07-02 Wandi Xu , Wei Xie

Stochastic models for biochemical reaction networks are widely used to explore their complex dynamics but face significant challenges, including difficulties in determining rate constants and high computational costs. To address these…

Molecular Networks · Quantitative Biology 2025-03-04 Yun Min Song , Kangmin Lee , Jae Kyoung Kim

Neural-network quantum states (NQS) employ artificial neural networks to encode many-body wave functions in second quantization through variational Monte Carlo (VMC). They have recently been applied to accurately describe electronic wave…

Chemical Physics · Physics 2023-11-27 Xiang Li , Jia-Cheng Huang , Guang-Ze Zhang , Hao-En Li , Chang-su Cao , Dingshun Lv , Han-Shi Hu

Stochastic models of biochemical reaction networks are widely used to capture intrinsic noise in cellular systems. The typical formulation of these models are based on Markov processes for which there is extensive research on efficient…

Molecular Networks · Quantitative Biology 2025-12-03 Thomas P. Steele , David J. Warne

We propose a universal approach for analysis and fast simulations of stiff stochastic biochemical kinetics networks, which rests on elimination of fast chemical species without a loss of information about mesoscopic, non-Poissonian…

Molecular Networks · Quantitative Biology 2009-07-07 N. A. Sinitsyn , Nicolas Hengartner , Ilya Nemenman