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This short paper presents an abstract, tunable model of genomic structural change within the cell lifecycle and explores its use with simulated evolution. A well-known Boolean model of genetic regulatory networks is extended to include…

Computational Engineering, Finance, and Science · Computer Science 2012-01-18 Larry Bull

Random Boolean networks are models of disordered causal systems that can occur in cells and the biosphere. These are open thermodynamic systems exhibiting a flow of energy that is dissipated at a finite rate. Life does work to acquire more…

Other Quantitative Biology · Quantitative Biology 2010-09-16 Hilary A. Carteret , Kelly John Rose , Stuart A. Kauffman

Boolean networks have been proposed as potentially useful models for genetic control. An important aspect of these networks is the stability of their dynamics in response to small perturbations. Previous approaches to stability have assumed…

Molecular Networks · Quantitative Biology 2015-05-13 Andrew Pomerance , Edward Ott , Michelle Girvan , Wolfgang Losert

We propose a neural network approach to model general interaction dynamics and an adjoint based stochastic gradient descent algorithm to calibrate its parameters. The parameter calibration problem is considered as optimal control problem…

Optimization and Control · Mathematics 2021-02-01 Simone Göttlich , Claudia Totzeck

This paper treats an optimal scheduling problem of control nodes in networked systems. We newly introduce both the L0 and l0 constraints on control inputs to extract a time-varying small number of effective control nodes. As the cost…

Optimization and Control · Mathematics 2021-08-31 Takuya Ikeda , Kazunori Sakurama , Kenji Kashima

Networks are ubiquitous throughout science and engineering. A number of methods, including some from our own group, have explored how one goes about computing or predicting the dynamics of networks given information about internal models of…

Molecular Networks · Quantitative Biology 2017-11-06 Gabriel A. Silva

This paper studies a constrained optimization problem over networked systems with an undirected and connected communication topology. The algorithm proposed in this work utilizes singular perturbation, dynamic average consensus, and saddle…

Optimization and Control · Mathematics 2017-10-24 Phuong Huu Hoang , Hyo-Sung Ahn

Our ability to control network dynamical systems is often hindered by constraints on the number and nature of the available control actions, which make controlling the whole network unfeasible. In this manuscript, we focus on the case where…

Optimization and Control · Mathematics 2022-02-14 Camilla Ancona , Francesco Lo Iudice , Antonio Coppola , Pietro De Lellis , Franco Garofalo

The field of optimal control typically requires the assumption of perfect knowledge of the system one desires to control, which is an unrealistic assumption for biological systems, or networks, typically affected by high levels of…

Optimization and Control · Mathematics 2021-04-28 Isaac Klickstein , Francesco Sorrentino

Boolean network (BN) is a simple model widely used to study complex dynamic behaviour of biological systems. Nonetheless, it might be difficult to gather enough data to precisely capture the behavior of a biological system into a set of…

Molecular Networks · Quantitative Biology 2020-09-02 Lubos Brim , Samuel Pastva , David Safranek , Eva Smijakova

The solution of high-dimensional inference and prediction problems in computational biology is almost always a compromise between mathematical theory and practical constraints such as limited computational resources. As time progresses,…

Quantitative Methods · Quantitative Biology 2009-01-13 Anagha Joshi , Riet De Smet , Kathleen Marchal , Yves Van de Peer , Tom Michoel

Asymptotic behaviors are often of particular interest when analyzing Boolean networks that represent biological systems such as signal trans- duction or gene regulatory networks. Methods based on a generalization of the steady state notion,…

Dynamical Systems · Mathematics 2015-09-30 Hannes Klarner , Alexander Bockmayr , Heike Siebert

Diverse biological networks exhibit universal features distinguished from those of random networks, calling much attention to their origins and implications. Here we propose a minimal evolution model of Boolean regulatory networks, which…

Molecular Networks · Quantitative Biology 2014-11-26 Deok-Sun Lee

We consider a wireless network with a set of transmitter-receiver pairs, or links, that share a common channel, and address the problem of emptying finite traffic volume from the transmitters in minimum time. This, so called, minimum-time…

Networking and Internet Architecture · Computer Science 2016-11-18 Qing He , Vangelis Angelakis , Anthony Ephremides , Di Yuan

Effective therapy of complex diseases requires control of highly non-linear complex networks that remain incompletely characterized. In particular, drug intervention can be seen as control of signaling in cellular networks. Identification…

Quantitative Methods · Quantitative Biology 2009-09-03 Jacob D. Feala , Jorge Cortes , Phillip M. Duxbury , Carlo Piermarocchi , Andrew D. McCulloch , Giovanni Paternostro

Boolean networks (BNs) are discrete dynamical systems with applications to the modeling of cellular behaviors. In this paper, we demonstrate how the software BoNesis can be employed to exhaustively identify combinations of perturbations…

Systems and Control · Electrical Eng. & Systems 2023-05-03 Loïc Paulevé

Models of biochemical networks are frequently high-dimensional and complex. Reduction methods that preserve important dynamical properties are therefore essential in their study. Interactions between the nodes in such networks are…

Molecular Networks · Quantitative Biology 2013-08-23 Alan Veliz-Cuba , Ajit Kumar , Kresimir Josic

Multi-valued logical models can be used to describe biological networks on a high level of abstraction based on the network structure and logical parameters capturing regulatory effects. Interestingly, the dynamics of two distinct models…

Dynamical Systems · Mathematics 2016-01-28 Adam Streck , Therese Lorenz , Heike Siebert

Networked systems display complex patterns of interactions between a large number of components. In physical networks, these interactions often occur along structural connections that link components in a hard-wired connection topology,…

Neurons and Cognition · Quantitative Biology 2018-04-03 Jason Kim , Jonathan M. Soffer , Ari E. Kahn , Jean M. Vettel , Fabio Pasqualetti , Danielle S. Bassett

In recent years, data-driven approaches have become increasingly pervasive across all areas of control engineering. However, the applications of data-based techniques to Boolean control networks (BCNs) are still very limited. In this paper…

Systems and Control · Electrical Eng. & Systems 2026-02-16 Giorgia Disarò , Maria Elena Valcher