Graphical dynamical systems and their applications to bio-social systems

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Document Type: Report
Length: 207 words

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Byline: Abhijin Adiga (1), Chris J. Kuhlman (1), Madhav V. Marathe (1,2), Henning S. Mortveit (1), S. S. Ravi (1,3), Anil Vullikanti (1,2) Keywords: Graphical dynamical systems; Mathematical modeling; Simulation science; Complexity theory; Biological and social systems Abstract: In this review paper, we discuss graphical dynamical systems (GDSs) and their applications to biological and social systems (bio-social systems). Traditionally, differential equation-based models have been central in modeling bio-social systems. GDSs provide an alternate modeling framework. This framework explicitly represents individual components of the system and captures the interactions among them via a network. The purpose of this review is to enable modelers to obtain an understanding of this basic mathematical and computational framework so that it can be used to study specific bio-social applications. The work covers the range from computational theory to simulation-based analysis. We also provide some directions for future work. Author Affiliation: (1) 0000 0000 9136 933X, grid.27755.32, Biocomplexity Institute and Initiative, University of Virginia, 1001 Research Park Boulevard, Charlottesville, VA, 22911, USA (2) 0000 0000 9136 933X, grid.27755.32, Computer Science Department, University of Virginia, Charlottesville, VA, USA (3) 0000 0001 2151 7947, grid.265850.c, University at Albany -- State University of New York, Albany, NY, USA Article History: Registration Date: 21/10/2018 Online Date: 15/12/2018

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Gale Document Number: GALE|A593241518