Differential Dynamic Causal Nets: Model Construction, Identification and Group Comparisons

📅 2026-01-29
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This study addresses the challenge of constructing interpretable dynamic causal networks from electroencephalography (EEG) data for group-level comparisons. The authors propose a novel paradigm that builds differential dynamic causal networks based on the parametrized Jansen-Rit local neural mass model, where nodes represent local neural circuits and directed edges encode causal connections with conduction delays. A loss function derived via the Chen–Fliess expansion is combined with a mixed-effects modeling framework to account for inter-subject variability, and a new evolutionary optimization algorithm is designed for efficient parameter inference. Experiments on both synthetic and real epileptic EEG datasets demonstrate that the method effectively quantifies inter-group differences in neural dynamics, successfully identifying excitatory–inhibitory imbalances and aberrant functional connectivity associated with seizure onset and offset.

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📝 Abstract
Pathophysiolpgical modelling of brain systems from microscale to macroscale remains difficult in group comparisons partly because of the infeasibility of modelling the interactions of thousands of neurons at the scales involved. Here, to address the challenge, we present a novel approach to construct differential causal networks directly from electroencephalogram (EEG) data. The proposed network is based on conditionally coupled neuronal circuits which describe the average behaviour of interacting neuron populations that contribute to observed EEG data. In the network, each node represents a parameterised local neural system while directed edges stand for node-wise connections with transmission parameters. The network is hierarchically structured in the sense that node and edge parameters are varying in subjects but follow a mixed-effects model. A novel evolutionary optimisation algorithm for parameter inference in the proposed method is developed using a loss function derived from Chen-Fliess expansions of stochastic differential equations. The method is demonstrated by application to the fitting of coupled Jansen-Rit local models. The performance of the proposed method is evaluated on both synthetic and real EEG data. In the real EEG data analysis, we track changes in the parameters that characterise dynamic causality within brains that demonstrate epileptic activity. We show evidence of network functional disruptions, due to imbalance of excitatory-inhibitory interneurons and altered epileptic brain connectivity, before and during seizure periods.
Problem

Research questions and friction points this paper is trying to address.

pathophysiological modelling
group comparisons
neuronal interactions
EEG data
dynamic causality
Innovation

Methods, ideas, or system contributions that make the work stand out.

Differential Dynamic Causal Nets
Evolutionary Optimization
Mixed-effects Model
Chen-Fliess Expansion
EEG-based Causal Inference
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School of Engineering, Mathematics and Physics, University of Kent, Canterbury, Kent CT2 7NF, UK.
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Emeritus Professor, University of York, UK
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Jian Zhang
School of Engineering, Mathematics and Physics, University of Kent, Canterbury, Kent CT2 7NF, UK.