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Nonlinear control techniques by means of a software sensor that are commonly used in chemical engineering could be also applied to genetic regulation processes. We provide here a realistic formulation of this procedure by introducing an…

生物物理 · 物理学 2009-11-10 V. Ibarra-Junquera , L. A. Torres , H. C. Rosu , G. Arguello , J. Collado-Vides

Understanding the complex and stochastic nature of Gene Regulatory Networks (GRNs) remains a central challenge in systems biology. Existing modeling paradigms often struggle to effectively capture the intricate, multi-factor regulatory…

分子网络 · 定量生物学 2025-08-20 Yiyang Jia , Zheng Wei , Zheng Yang , Guohong Peng

Gene regulatory networks (GRNs) control cellular function and decision making during tissue development and homeostasis. Mathematical tools based on dynamical systems theory are often used to model these networks, but the size and…

分子网络 · 定量生物学 2018-03-16 Edgar Herrera-Delgado , Ruben Perez-Carrasco , James Briscoe , Peter Sollich

Unraveling the complexities of Gene Regulatory Networks (GRNs) is crucial for understanding cellular processes and disease mechanisms. Traditional computational methods often struggle with the dynamic nature of these networks. This study…

机器学习 · 计算机科学 2025-03-04 Hakan T. Otal , Abdulhamit Subasi , Furkan Kurt , M. Abdullah Canbaz , Yasin Uzun

Based on a non-equilibrium mechanism for spatial pattern formation we study how position information can be controlled by locally coupled discrete dynamical networks, similar to gene regulation networks of cells in a developing…

分子网络 · 定量生物学 2009-08-26 Thimo Rohlf , Stefan Bornholdt

Use of computational methods to predict gene regulatory networks (GRNs) from gene expression data is a challenging task. Many studies have been conducted using unsupervised methods to fulfill the task; however, such methods usually yield…

机器学习 · 计算机科学 2016-08-15 Nihir Patel , Jason T. L. Wang

Gene regulatory networks (GRNs) orchestrate cellular decision making and survival strategies. Inferring the structure of these networks from high-dimensional transcriptomics data is a central challenge in systems biology. Traditional…

应用统计 · 统计学 2025-08-01 Visweswaran Ravikumar , Aaresh Bhathena , Wajd N Al-Holou , Salar Fattahi , Arvind Rao

Finding coarse-grained, low-dimensional descriptions is an important task in the analysis of complex, stochastic models of gene regulatory networks. This task involves (a) identifying observables that best describe the state of these…

Gene regulation is an important fundamental biological process. The regulation of gene expression is managed through a variety of methods including epigenetic processes (e.g., DNA methylation). Understanding the role of epigenetic changes…

分子网络 · 定量生物学 2021-06-01 James Brunner , Jacob Kim , Timothy Downing , Eric Mjolsness , Kord M. Kober

Gene regulatory network inference (GRNI) aims to discover how genes causally regulate each other from gene expression data. It is well-known that statistical dependencies in observed data do not necessarily imply causation, as spurious…

机器学习 · 计算机科学 2025-11-05 Gongxu Luo , Haoyue Dai , Loka Li , Chengqian Gao , Boyang Sun , Kun Zhang

Gene regulation is a series of processes that control gene expression and its extent. The connections among genes and their regulatory molecules, usually transcription factors, and a descriptive model of such connections, are known as gene…

We study a chemical kinetic system with uncertainty modeling a gene regulatory network in biology. Specifically, we consider a system of two equations for the messenger RNA and micro RNA content of a cell. Our target is to provide a simple…

数值分析 · 数学 2019-10-17 Pierre Degond , Shi Jin , Yuhua Zhu

The regulation of cellular function is often controlled at the level of gene transcription. Such genetic regulation usually consists of interacting networks, whereby gene products from a single network can act to control their own…

生物物理 · 物理学 2009-11-06 Jeff Hasty , Joel Pradines , Milos Dolnik , J. J. Collins

Boolean networks (BNs) are important models for gene regulatory networks and many other biological systems. In this paper, we study the minimal controllability problem of threshold and XOR BNs with degree constraints. Firstly, we derive…

系统与控制 · 电气工程与系统科学 2025-09-22 Christopher H. Fok , Liangjie Sun , Tatsuya Akutsu , Wai-Ki Ching

Modern implicit generative models such as generative adversarial networks (GANs) are generally known to suffer from issues such as instability, uninterpretability, and difficulty in assessing their performance. If we see these implicit…

机器学习 · 统计学 2019-11-05 Arash Mehrjou , Wittawat Jitkrittum , Krikamol Muandet , Bernhard Schölkopf

Modern implicit generative models such as generative adversarial networks (GANs) are generally known to suffer from issues such as instability, uninterpretability, and difficulty in assessing their performance. If we see these implicit…

机器学习 · 计算机科学 2019-11-07 Arash Mehrjou , Wittawat Jitkrittum , Krikamol Muandet , Bernhard Schölkopf

Progress in cell type reprogramming has revived the interest in Waddington's concept of the epigenetic landscape. Recently researchers developed the quasi-potential theory to represent the Waddington's landscape. The Quasi-potential U(x),…

分子网络 · 定量生物学 2016-05-09 Joseph Xu Zhou , Areejit Samal , Aymeric Fouquier d'Hèrouël , Nathan D. Price , Sui Huang

Boolean Network (BN) and its extension Probabilistic Boolean Network (PBN) are popular mathematical models for studying genetic regulatory networks. BNs and PBNs are also applied to model manufacturing systems, financial risk and healthcare…

机器学习 · 计算机科学 2024-07-17 Christopher H. Fok , Chi-Wing Wong , Wai-Ki Ching

One of the grand challenges of cell biology is inferring the gene regulatory network (GRN) which describes interactions between genes and their products that control gene expression and cellular function. We can treat this as a causal…

机器学习 · 计算机科学 2023-12-27 Lazar Atanackovic , Alexander Tong , Bo Wang , Leo J. Lee , Yoshua Bengio , Jason Hartford

This study utilized the Gaussian Processes (GPs) regression framework to establish stochastic error bounds between the actual and predicted state evolution of nonlinear systems. These systems are embedded in the linear parameter-varying…

最优化与控制 · 数学 2024-05-16 Dimitrios S. Karachalios , Hossam S. Abbas