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A systems biological approach can help to make sense of complex dynamic regulatory networks through the use of mathematical models and dynamical system theory [ 25, 26].
Bechtel, for example, discusses how mathematical models, and dynamical models in particular, are used to reveal complex temporal organization in interactive mechanisms (Bechtel 2006, 2011, 2013b).
This absence illustrates the general conclusion that dynamical systems have limited potential as a theoretical foundation for agent-based modeling, as there is no known general mapping between computational agent-based models and dynamical systems models.
Properties of the real-world networks, their models and dynamical processes living on them are partly covered in Janson et al. (2000), Bollobás (2001), Marchette (2004), Durrett (2007), Newman (2010), Frieze and Karoński (2016) and Krivelevich et al. (2016).
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Accordingly, scientists rely on tools of computational modeling and dynamical systems theory in advancing dynamic mechanistic explanations.
The statics model and dynamical model of the FSM are established and analyzed.
A 3D stack model and dynamical models of auxiliary units such as compressor, humidifier, etc.
Predictions of the model and dynamical mechanical analysis results are in concert.
Both the crowd model and dynamical system are coupled in a time-stepping framework with crowd model output used to update the dynamical system at each time-step.
The analogy has been developed on the basis of mathematical physical analogy between rheological model and dynamical model with viscous damping, and is aimed to be used for the analysis of inelastic deforming of materials and structures.
This paper is concerned with a new proposal regarding the analysis of inelastic deforming of materials and structures and is based on mathematical physical analogy between rheological model and dynamical model with viscous damping.
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