Self-loops Favour Diversification and Asymmetric Transitions Between Attractors in Boolean Network Models

Author(s):  
Michele Braccini ◽  
Sara Montagna ◽  
Andrea Roli
2019 ◽  
Vol 20 (1) ◽  
Author(s):  
Ricardo Ramirez ◽  
Allen Michael Herrera ◽  
Joshua Ramirez ◽  
Chunjiang Qian ◽  
David W. Melton ◽  
...  

Abstract Background Macrophages show versatile functions in innate immunity, infectious diseases, and progression of cancers and cardiovascular diseases. These versatile functions of macrophages are conducted by different macrophage phenotypes classified as classically activated macrophages and alternatively activated macrophages due to different stimuli in the complex in vivo cytokine environment. Dissecting the regulation of macrophage activations will have a significant impact on disease progression and therapeutic strategy. Mathematical modeling of macrophage activation can improve the understanding of this biological process through quantitative analysis and provide guidance to facilitate future experimental design. However, few results have been reported for a complete model of macrophage activation patterns. Results We globally searched and reviewed literature for macrophage activation from PubMed databases and screened the published experimental results. Temporal in vitro macrophage cytokine expression profiles from published results were selected to establish Boolean network models for macrophage activation patterns in response to three different stimuli. A combination of modeling methods including clustering, binarization, linear programming (LP), Boolean function determination, and semi-tensor product was applied to establish Boolean networks to quantify three macrophage activation patterns. The structure of the networks was confirmed based on protein-protein-interaction databases, pathway databases, and published experimental results. Computational predictions of the network evolution were compared against real experimental results to validate the effectiveness of the Boolean network models. Conclusion Three macrophage activation core evolution maps were established based on the Boolean networks using Matlab. Cytokine signatures of macrophage activation patterns were identified, providing a possible determination of macrophage activations using extracellular cytokine measurements.


2019 ◽  
Vol 3 (Supplement_1) ◽  
pp. S376-S376
Author(s):  
Xiao Yang ◽  
Xiao Yang ◽  
Nilam Ram ◽  
David Conroy ◽  
Aaron Pincus ◽  
...  

Abstract Development and aging are the product of a process wherein an individuals’ functional components co-act to produce change. System dynamics can be described using a variety of methods. In this paper we illustrate how Boolean network methods may be used to describe the sequences of emotion and behavior states that lead to a stable equilibrium – e.g., healthy function; and the interventions needed to push an individual toward healthier equilibria. We applied Boolean network models to intensive longitudinal data obtained from 150 participants (age 18-89 years) to describe individuals’ on-going psychosocial dynamics and identify the specific social behaviors that may be driving them toward undesirable and/or desirable equilibria (e.g., high and low negative emotions). Results are discussed with respect to how they inform theory about developmental systems, and construction of interventions meant to guide individuals toward healthy aging.


2014 ◽  
Vol 30 (17) ◽  
pp. i445-i452 ◽  
Author(s):  
N. Atias ◽  
M. Gershenzon ◽  
K. Labazin ◽  
R. Sharan

Fractals ◽  
2006 ◽  
Vol 14 (02) ◽  
pp. 133-142 ◽  
Author(s):  
JOHN KONVALINA ◽  
IGOR KONFISAKHAR ◽  
JACK HEIDEL ◽  
JIM ROGERS

The solution to a deceptively simple combinatorial problem on bit strings results in the emergence of a fractal related to the Sierpinski Gasket. The result is generalized to higher dimensions and applied to the study of global dynamics in Boolean network models of complex biological systems.


2003 ◽  
Vol 100 (25) ◽  
pp. 14796-14799 ◽  
Author(s):  
S. Kauffman ◽  
C. Peterson ◽  
B. Samuelsson ◽  
C. Troein

2007 ◽  
Vol 7 ◽  
pp. 49-65 ◽  
Author(s):  
Paul Meara

This paper describes how simple Boolean Network models can be adapted to explore the way a vocabulary network might grow. The models described have two main parameters — a New Word parameter, which determines the rate at which new words are added to the lexicon, and an independent New Link parameter, which determines the rate at which links form between words. Delaying the application of the New Link parameter by a small amount allows a core of words to establish itself. With these very simple assumptions, a network structure with some of the features of real lexicons can grow itself.  The paper describes how the parameter values interact, and how the size of the initial core affects the way the lexicon grows. The paper also speculates about how a more realistic model of lexical growth might be constructed by making the basic processes in the models slightly more complex.


2013 ◽  
Vol 12 (4) ◽  
pp. 1997-2011 ◽  
Author(s):  
Assieh Saadatpour ◽  
Réka Albert ◽  
Timothy C. Reluga

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