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Systems of differential equations have been used to model biological systems such as gene and neural networks. A problem of particular interest is to understand the number of stable steady states. Here we propose conjunctive networks…

Molecular Networks · Quantitative Biology 2026-04-09 Alan Veliz-Cuba , Zeyu Wang

Dynamical entities interacting with each other on complex networks often exhibit multistability. The stability of a desired steady regime (e.g., a synchronized state) to large perturbations is critical in the operation of many real-world…

Chaotic Dynamics · Physics 2017-03-22 Chiranjit Mitra , Anshul Choudhary , Sudeshna Sinha , Jürgen Kurths , Reik V. Donner

One of the challenges in Synthetic Biology is to design circuits with increasing levels of complexity. While circuits in Biology are complex and subject to natural tradeoffs, most synthetic circuits are simple in terms of the number of…

Optimization and Control · Mathematics 2014-03-03 Irene Otero-Muras , Julio R. Banga

Identity, response to external stimuli, and spatial architecture of a living system are central topics of molecular biology. Presently, they are largely seen as a result of the interplay between a gene repertoire and the regulatory…

Molecular Networks · Quantitative Biology 2007-05-23 M. Cosentino Lagomarsino , P. Jona , B. Bassetti

Data-driven modeling plays an increasingly important role in different areas of engineering. For most of existing methods, such as genetic programming (GP), the convergence speed might be too slow for large scale problems with a large…

Optimization and Control · Mathematics 2017-06-29 Chen Chen , Changtong Luo , Zonglin Jiang

This paper presents an intracellular feedback control strategy, to regulate the gene expression process dynamics. For this purpose, two types of genetic circuits are designed in order to compare concentrations of the input transcription…

Systems and Control · Computer Science 2016-06-15 Jafar Kazemi , Sadjad Ozgoli

Genetic switch systems with mutual repression of two transcription factors are studied using deterministic methods (rate equations) and stochastic methods (the master equation and Monte Carlo simulations). These systems exhibit bistability,…

Molecular Networks · Quantitative Biology 2007-05-23 Adiel Loinger , Azi Lipshtat , Nathalie Q. Balaban , Ofer Biham

Data-driven modeling of nonlinear dynamical systems often require an expert user to take critical decisions a priori to the identification procedure. Recently an automated strategy for data driven modeling of \textit{single-input…

Systems and Control · Electrical Eng. & Systems 2020-12-17 Stefan-Cristian Nechita , Roland Toth , Dhruv Khandelwal , Maarten Schoukens

Massive multiple-input multiple-output (MIMO) is recognized as a promising technology for the next generation of wireless networks because of its potential to increase the spectral efficiency. In initial studies of massive MIMO, the system…

Information Theory · Computer Science 2018-06-11 Elahe Sadeghabadi , Seyed Mohammad Azimi-Abarghouyi , Behrooz Makki , Masoumeh Nasiri-Kenari

Auto-regulatory feedback loops are one of the most common network motifs. A wide variety of stochastic models have been constructed to understand how the fluctuations in protein numbers in these loops are influenced by the kinetic…

Subcellular Processes · Quantitative Biology 2020-04-22 James Holehouse , Zhixing Cao , Ramon Grima

In this work we study five Grovers algorithm modifications, where each iteration is constructed by two generalized Householder reflections, against inaccuracies in the phases. By using semi-empirical methods, we investigate various…

Quantum Physics · Physics 2024-01-09 Hristo Tonchev , Petar Danev

Mixed feedback loops combining transcriptional and post-transcriptional regulations are common in cellular regulatory networks. They consist of two genes, encoding a transcription factor and a small non-coding RNA (sRNA), which mutually…

Molecular Networks · Quantitative Biology 2015-06-11 Mor Nitzan , Yishai Shimoni , Oded Rosolio , Hanah Margalit , Ofer Biham

We determine stability and attractor properties of random Boolean genetic network models with canalyzing rules for a variety of architectures. For all power law, exponential, and flat in-degree distributions, we find that the networks are…

Molecular Networks · Quantitative Biology 2007-05-23 Stuart Kauffman , Carsten Peterson , Björn Samuelsson , Carl Troein

The theory of multiple-input multiple-output (MIMO) technology has been well-developed to increase fading channel capacity over single-input single-output (SISO) systems. This capacity gain can often be leveraged by utilizing channel state…

Information Theory · Computer Science 2008-02-25 Il Han Kim , David J. Love

Many recent generative models make use of neural networks to transform the probability distribution of a simple low-dimensional noise process into the complex distribution of the data. This raises the question of whether biological networks…

Neural and Evolutionary Computing · Computer Science 2018-02-07 Hesham Mostafa , Gert Cauwenberghs

The internal representations learned by deep networks are often sensitive to architecture-specific choices, raising questions about the stability, alignment, and transferability of learned structure across models. In this paper, we…

Machine Learning · Computer Science 2025-08-06 Saleh Nikooroo , Thomas Engel

Engineering genetic networks to be both predictable and robust is a key challenge in synthetic biology. Synthetic circuits must reliably function in dynamic, stochastic and heterogeneous environments, and simple circuits can be studied to…

Quantitative Methods · Quantitative Biology 2015-06-30 Zach Hensel , Tatiana T. Marquez-Lago

Passivity theory is one of the cornerstones of control theory, as it allows one to prove stability of a large-scale system while treating each component separately. In practice, many systems are not passive, and must be passivized in order…

Systems and Control · Electrical Eng. & Systems 2021-05-06 Miel Sharf , Daniel Zelazo

Massive multiple-input multiple-output (MIMO) systems are cellular networks where the base stations (BSs) are equipped with unconventionally many antennas, deployed on co-located or distributed arrays. Huge spatial degrees-of-freedom are…

Information Theory · Computer Science 2015-04-30 Emil Björnson , Michail Matthaiou , Mérouane Debbah

End-to-end data-driven machine learning (ML) of multiple-input multiple-output (MIMO) systems has been shown to have the potential of exceeding the performance of engineered MIMO transceivers, without any a priori knowledge of…

Signal Processing · Electrical Eng. & Systems 2020-05-21 Jinxiang Song , Christian Häger , Jochen Schröder , Tim O'Shea , Henk Wymeersch
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