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We consider the problem of learning structures and parameters of Continuous-time Bayesian Networks (CTBNs) from time-course data under minimal experimental resources. In practice, the cost of generating experimental data poses a bottleneck,…

Machine Learning · Statistics 2022-01-12 Dominik Linzner , Heinz Koeppl

Prediction of node and graph labels are prominent network science tasks. Data analyzed in these tasks are sometimes related: entities represented by nodes in a higher-level (higher-scale) network can themselves be modeled as networks at a…

Molecular Networks · Quantitative Biology 2021-05-27 Shawn Gu , Meng Jiang , Pietro Hiram Guzzi , Tijana Milenkovic

We explore the interplay of network structure, topology, and dynamic interactions between nodes using the paradigm of distributed synchronization in a network of coupled oscillators. As the network evolves to a global steady state,…

Disordered Systems and Neural Networks · Physics 2015-06-04 Kristina Lerman , Rumi Ghosh

Biomolecular networks underpin emerging technologies in synthetic biology-from robust biomanufacturing and metabolic engineering to smart therapeutics and cell-based diagnostics-and also provide a mechanistic language for understanding…

Quantitative Methods · Quantitative Biology 2026-03-02 Maurice Filo , Nicolò Rossi , Zhou Fang , Mustafa Khammash

We investigate how classifiers for Boolean networks (BNs) can be constructed and modified under constraints. A typical constraint is to observe only states in attractors or even more specifically steady states of BNs. Steady states of BNs…

Commutative Algebra · Mathematics 2021-08-20 Robert Schwieger , Matías R. Bender , Heike Siebert , Christian Haase

Biological systems and processes are networks of complex nonlinear regulatory interactions between nucleic acids, proteins, and metabolites. A natural way in which to represent these interaction networks is through the use of a graph. In…

Molecular Networks · Quantitative Biology 2023-01-04 Jacob Rast

Boolean networks are dynamical models of disease development in which the activation levels of genes are represented by binary variables. Given a Boolean network, controls represent mutations or medical treatments that fix the activation…

Optimization and Control · Mathematics 2026-04-02 Kyungduk Moon , Kangbok Lee , Loïc Paulevé

A probabilistic Boolean network (PBN) is a discrete-time system composed of a collection of Boolean networks between which the PBN switches in a stochastic manner. This paper focuses on the study of quotients of PBNs. Given a PBN and an…

Optimization and Control · Mathematics 2021-08-02 Rui Li , Qi Zhang , Tianguang Chu

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

The concept of control is crucial for effectively understanding and applying biological network models. Key structural features relate to control functions through gene regulation, signaling, or metabolic mechanisms, and computational…

Molecular Networks · Quantitative Biology 2024-11-05 David Murrugarra , Alan Veliz-Cuba , Elena Dimitrova , Claus Kadelka , Matthew Wheeler , Reinhard Laubenbacher

One of the characteristic features of genetic networks is their inherent robustness, that is, their ability to retain functionality in spite of the introduction of random errors. In this paper, we seek to better understand how robustness is…

Molecular Networks · Quantitative Biology 2009-04-29 Arnab Bhattacharyya , Bernhard Haeupler

Rapid advances in high-throughput technologies have led to considerable interest in analyzing genome-scale data in the context of biological pathways, with the goal of identifying functional systems that are involved in a given phenotype.…

Quantitative Methods · Quantitative Biology 2015-06-01 Rosemary Braun , Sahil Shah

Recent genomic and bioinformatic advances have motivated the development of numerous random network models purporting to describe graphs of biological, technological, and sociological origin. The success of a model has been evaluated by how…

Molecular Networks · Quantitative Biology 2007-05-23 Manuel Middendorf , Etay Ziv , Carter Adams , Jen Hom , Robin Koytcheff , Chaya Levovitz , Gregory Woods , Linda Chen , Chris Wiggins

Biological networks such as gene regulatory networks possess desirable properties. They are more robust and controllable than random networks. This motivates the search for structural and dynamical features that evolution has incorporated…

Molecular Networks · Quantitative Biology 2024-02-16 Claus Kadelka , David Murrugarra

Inferring dynamic biochemical networks is one of the main challenges in systems biology. Given experimental data, the objective is to identify the rules of interaction among the different entities of the network. However, the number of…

Commutative Algebra · Mathematics 2012-07-31 Franziska Hinkelmann , Abdul Salam Jarrah

Systems Biology has emerged in the last years as a new holistic approach based on the global understanding of cells instead of only being focused on their individual parts (genes or proteins), to better understand the complexity of human…

Exploring the structural topology of genome-based large-scale metabolic network is essential for investigating possible relations between structure and functionality. Visualization would be helpful for obtaining immediate information about…

Molecular Networks · Quantitative Biology 2007-09-06 Zhao Jing , Tao Lin , Yu Hong , Luo Jian-Hua , Z. W. Cao , Li Yixue

Many dynamical processes of complex systems can be understood as the dynamics of a group of nodes interacting on a given network structure. However, finding such interaction structure and node dynamics from time series of node behaviours is…

Physics and Society · Physics 2022-06-28 Yan Zhang , Yu Guo , Zhang Zhang , Mengyuan Chen , Shuo Wang , Jiang Zhang

Different Boolean networks may reveal similar dynamics although their definition differs, then preventing their distinction from the observations. This raises the question about the sufficiency of a particular Boolean network for properly…

Discrete Mathematics · Computer Science 2014-11-25 Franck Delaplace

As a discrete approach to genetic regulatory networks, Boolean models provide an essential qualitative description of the structure of interactions among genes and proteins. Boolean models generally assume only two possible states…

Molecular Networks · Quantitative Biology 2007-05-23 Madalena Chaves , Eduardo D. Sontag , Reka Albert