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Contribution Details

Type Journal Article
Scope Discipline-based scholarship
Title Nonlinear dynamic causal models for fMRI
Organization Unit
Authors
  • Klaas Enno Stephan
  • L Kasper
  • L M Harrison
  • Jean Daunizeau
  • H E M den Ouden
  • M Breakspear
  • K J Friston
Item Subtype Original Work
Refereed Yes
Status Published in final form
Language
  • English
Journal Title NeuroImage
Publisher Elsevier
Geographical Reach international
ISSN 1053-8119
Volume 42
Number 2
Page Range 649 - 662
Date 2008
Abstract Text Models of effective connectivity characterize the influence that neuronal populations exert over each other. Additionally, some approaches, for example Dynamic Causal Modelling (DCM) and variants of Structural Equation Modelling, describe how effective connectivity is modulated by experimental manipulations. Mathematically, both are based on bilinear equations, where the bilinear term models the effect of experimental manipulations on neuronal interactions. The bilinear framework, however, precludes an important aspect of neuronal interactions that has been established with invasive electrophysiological recording studies; i.e., how the connection between two neuronal units is enabled or gated by activity in other units. These gating processes are critical for controlling the gain of neuronal populations and are mediated through interactions between synaptic inputs (e.g. by means of voltage-sensitive ion channels). They represent a key mechanism for various neurobiological processes, including top-down (e.g. attentional) modulation, learning and neuromodulation. This paper presents a nonlinear extension of DCM that models such processes (to second order) at the neuronal population level. In this way, the modulation of network interactions can be assigned to an explicit neuronal population. We present simulations and empirical results that demonstrate the validity and usefulness of this model. Analyses of synthetic data showed that nonlinear and bilinear mechanisms can be distinguished by our extended DCM. When applying the model to empirical fMRI data from a blocked attention to motion paradigm, we found that attention-induced increases in V5 responses could be best explained as a gating of the V1→V5 connection by activity in posterior parietal cortex. Furthermore, we analysed fMRI data from an event-related binocular rivalry paradigm and found that interactions amongst percept-selective visual areas were modulated by activity in the middle frontal gyrus. In both practical examples, Bayesian model selection favoured the nonlinear models over corresponding bilinear ones.
Digital Object Identifier 10.1016/j.neuroimage.2008.04.262
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