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Critical points separate distinct dynamical regimes of complex systems, often delimiting functional or macroscopic phases in which the system operates. However, the long-term prediction of critical regimes and behaviors is challenging given…

Physics and Society · Physics 2025-04-15 Xiangrong Wang , Dan Lu , Zongze Wu , Weina Xu , Hongru Hou , Yanqing Hu , Yamir Moreno

We propose and analyze a stochastic model to investigate epigenetic mutations, i.e., modifications of the genetic information that control gene expression patterns in a cell but do not alter the DNA sequence. Epigenetic mutations are…

Analysis of PDEs · Mathematics 2024-07-09 Pablo Padilla-Longoria , Jesus Sierra

Neural networks for structured data like graphs have been studied extensively in recent years. To date, the bulk of research activity has focused mainly on static graphs. However, most real-world networks are dynamic since their topology…

Machine Learning · Computer Science 2020-03-03 Changmin Wu , Giannis Nikolentzos , Michalis Vazirgiannis

Epigenetic clocks based on DNA methylation have emerged as powerful tools for estimating biological age, with broad applications in aging research, age-related disease studies, and longevity science. Despite advances across machine learning…

Artificial Intelligence · Computer Science 2026-05-12 Yao Li , Xikun Zhang , Xiaotao Shen , Sonika Tyagi , Xin Zheng , Jiaxing Huang , Feng Xia

Understanding the relationship between spontaneous stochastic fluctuations and the topology of the underlying gene regulatory network is of fundamental importance for the study of single-cell stochastic gene expression. Here by solving the…

Molecular Networks · Quantitative Biology 2017-10-25 Chen Jia , Peng Xie , Min Chen , Michael Q. Zhang

Mathematical models of gene regulatory networks are widely used to study cell fate changes and transcriptional regulation. When designing such models, it is important to accurately account for sources of stochasticity. However, doing so can…

Molecular Networks · Quantitative Biology 2025-03-21 Jochen Kursawe , Antoine Moneyron , Tobias Galla

In this work we propose a model for gene expression based on the theory of random dynamical systems (RDS) and show that it has a "modularity property" in the following sense: given any collection of genes that are linked in a…

Molecular Networks · Quantitative Biology 2013-05-21 Fernando Antoneli , Renata C. Ferreira , Francisco Bosco , Marcelo R. S. Briones

Complex high dimensional stochastic dynamic systems arise in many applications in the natural sciences and especially biology. However, while these systems are difficult to describe analytically, "snapshot" measurements that sample the…

Machine Learning · Computer Science 2019-12-03 Scott Gigante , David van Dijk , Kevin Moon , Alexander Strzalkowski , Guy Wolf , Smita Krishnaswamy

Due to patient privacy protection concerns, machine learning research in healthcare has been undeniably slower and limited than in other application domains. High-quality, realistic, synthetic electronic health records (EHRs) can be…

Machine Learning · Computer Science 2023-02-10 Huan He , Shifan Zhao , Yuanzhe Xi , Joyce C Ho

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

Available methods for identification of stochastic dynamical systems from input-output data generally impose restricting structural assumptions on either the noise structure in the data-generating system or the possible state probability…

Systems and Control · Electrical Eng. & Systems 2024-05-02 Gerben I. Beintema , Maarten Schoukens , Roland Tóth

We train a neural network to predict human gene expression levels based on experimental data for rat cells. The network is trained with paired human/rat samples from the Open TG-GATES database, where paired samples were treated with the…

Genomics · Quantitative Biology 2019-07-09 Peter Eastman , Vijay S. Pande

Life science is entering a new era of petabyte-level sequencing data. Converting such big data to biological insights represents a huge challenge for computational analysis. To this end, we developed DeepMetabolism, a biology-guided deep…

Genomics · Quantitative Biology 2017-05-10 Weihua Guo , You Xu , Xueyang Feng

Microarray is a technology to quantitatively monitor the expression of large number of genes in parallel. It has become one of the main tools for global gene expression analysis in molecular biology research in recent years. The large…

Quantitative Methods · Quantitative Biology 2015-06-18 Min Xu

Epigenetic Tracking is a mathematical model of biological cells, originally conceived to study embryonic development. Computer simulations proved the capacity of the model to generate complex 3-dimensional cellular structures, and the…

Cell Behavior · Quantitative Biology 2015-07-07 Alessandro Fontana

Cell growth and gene expression, essential elements of all living systems, have long been the focus of biophysical interrogation. Advances in single-cell methods have invigorated theoretical studies into these processes. However, until…

Subcellular Processes · Quantitative Biology 2023-11-22 Ido Golding , Ariel Amir

Stochastic generators are essential to produce synthetic realizations that preserve target statistical properties. We propose GenFormer, a stochastic generator for spatio-temporal multivariate stochastic processes. It is constructed using a…

Machine Learning · Computer Science 2024-02-06 Haoran Zhao , Wayne Isaac Tan Uy

Whereas the relationship between criticality of gene regulatory networks (GRNs) and dynamics of GRNs at a single cell level has been vigorously studied, the relationship between the criticality of GRNs and system properties at a higher…

Molecular Networks · Quantitative Biology 2018-01-29 Hyobin Kim , Hiroki Sayama

We propose a probabilistic model for interpreting gene expression levels that are observed through single-cell RNA sequencing. In the model, each cell has a low-dimensional latent representation. Additional latent variables account for…

Machine Learning · Computer Science 2018-01-18 Romain Lopez , Jeffrey Regier , Michael Cole , Michael Jordan , Nir Yosef

Genetic regulatory networks enable cells to respond to the changes in internal and external conditions by dynamically coordinating their gene expression profiles. Our ability to make quantitative measurements in these biochemical circuits…

Biological Physics · Physics 2015-03-17 Aleksandra M Walczak , Gašper Tkačik