The human brain has several major levels of functioning, e.g.: quantum, genetic, single neuron, neural networks, cognitive, each of them involving a complex dynamic interaction between participating elements and signals. There are also complex dynamic interactions across functional levels [1].
With the advancement of the bioinformatics and brain research technologies more data become available tracing the activity of genes, neurons, neural networks and brain areas over time [2,3,4]. How can such data be used to create a dynamic model that captures dynamic interactions at a particular level over time? How can we integrate dynamic models at different levels? How do we use these models to better understand brain dynamics? These are the main questions addressed in the paper through dynamic interaction network modelling.
Dynamic Interaction Networks (DIN) are popular methods [1] especially for modelling a biological gene regulatory network (GRN) of n genes expressed over time. A node Nj(t) in the model represents the gene Gj(t) activation (expression) at a particular time t and the weighted arcs Wij represent the degree of interaction between genes Gi (i=1,2,…,n) and Gj at two consecutive time moments t and (t+1). In order to evaluate Nj(t+1) a function Fj (Ni, Wij; i=1,2,…,n) is used. The regulatory network model is created through optimisation procedure that optimises the connection weight matrix W, the functions Fj (j=1,2,…,n) from time course gene expression data. There are several methods used so far to create a GRN from time course data.
The paper demonstrates how DIN can be used to model brain dynamics at different levels. At a genetic level, a GRN can be created for a single neuron involving a set of relevant to a particular neuronal function genes. At a next, more complex level, a GRN can be created to capture the dynamics of the expression of several genes related to a complex brain function of a brain area, such as LTP in the CA3 area of the hippocampus. A next level of complexity is to create a model that includes a GRN and matches not only gene expression values over time, but brain signals as well, such as EEG, related to a particular brain function or a disease, e.g. epilepsy. All these models are called computational neurogenetic models [5].
A DIN can also be created from a time series of EEG measurements related to perceptual or cognitive functions, such as visual and auditory perception. The DIN model represents EEG channels as nodes and the connection weight matrix represents the temporal interaction between the brain signals measured by the channels. It is demonstrated that building a DIN model from EEG data can help tracing and discovering hidden brain signal interactions for particular brain functions. Comparing DIN models, built on EEG data measured for different stimuli and different individuals, can also help understand differences in the brain functioning for different perception and cognitive tasks and for different individuals.
The paper demonstrates all the above levels of DIN modelling and illustrates them on real brain data. The paper suggests directions for further research in modelling and discovery of dynamic brain interactions relating to complex brain functions at different functional level.