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What is Dynamic Causal Modeling

Handbook of Research on Computational and Systems Biology: Interdisciplinary Applications
The aim of Dynamic Causal Modeling (DCM) is to make inferences and estimate the causal architecture of coupled or distributed dynamical systems. It relies on comparing models of how data are generated, where these Dynamic Causal Models are formulated in terms of stochastic or ordinary differential equations. These equations model the dynamics of hidden states in the nodes of a probabilistic graphical model, where conditional dependencies are parameterized in terms of directed effective connectivity.
Published in Chapter:
Granger Causality: Its Foundation and Applications in Systems Biology
Tian Ge (Fudan University, China) and Jianfeng Feng (Fudan University, China & University of Warwick, UK)
DOI: 10.4018/978-1-60960-491-2.ch022
Abstract
As one of the most successful approaches to uncover complex network structures from experimental data, Granger causality has been widely applied to various reverse engineering problems. This chapter first reviews some current developments of Granger causality and then presents the graphical user interface (GUI) to facilitate the application. To make Granger causality more computationally feasible and satisfy biophysical constraints for dealing with increasingly large dynamical datasets, two attempts are introduced including the combination of Granger causality and Basis Pursuit when faced with non-uniformly sampled data and the unification of Granger causality and the Dynamic Causal Model as a novel Unified Causal Model (UCM) to bring in the notion of stimuli and modifying coupling. Several examples, both from toy models and real experimental data, are included to demonstrate the efficacy and power of the Granger causality approach.
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