Invited reviewThe organization of physiological brain networks
Highlights
► The brain can be represented as a complex network with functionally connected units at several levels that changes in neurological and psychiatric disease. ► Existing clinical neurophysiology techniques and network models to explain network properties are reviewed. ► In addition to the already established network models, we suggest a heuristic model including hierarchical modularity.
Introduction
The brain can be seen as a complex anatomical and functional network. Theories that apply to complex networks in general, such as modern network theory and complex systems theory, are increasingly used in neuroscience to understand how normal brain function arises and what happens in disease. They provide a totally new perspective leading to some very new insights. This review gives an overview of the fundamentals and applications of modern network theory in the study of normal and developing brain function. In addition, we aim to explain how it is possible that various brain diseases can be understood in terms of failing network characteristics. The focus will be mainly on functional aspects of brain networks, but structural connectivity, animal studies, and modeling will also be discussed to provide a wider perspective. Since network studies are based upon a fundament of functional connectivity, the neurophysiological basis of normal and disrupted synchronization is discussed first. Subsequently, the basic concepts and tools of modern network theory are introduced. The application of network theory is illustrated by studies in healthy subjects, and various disorders such as schizophrenia, depression, dementia, trauma and epilepsy with an emphasis on functional, and in particular neurophysiological approaches. Finally we suggest a general framework for the study of the organization of physiological brain networks.
Section snippets
Representing the brain as a network
In 1906, Ramon Y Cajal and Camillo Golgi shared the Nobel Prize in Physiology or Medicine. Although they shared the prize, they did not share each other’s ideas (Jacobson, 1995, Rapport, 2005). According to Golgi, a defender of the reticular theory, the brain should be viewed as a large syncytium, or conglomerate, of directly connected neurons. Instead, Cajal, using the silver nitrate preparation developed by Golgi, interpreted his findings in support of the neuron theory that maintained that
Time series and brain function
To gain an understanding how the brain is organized as a functional network, several elements are required: (i) we need to have a reliable measurement of the level of activity of the network elements; (ii) communication between network elements needs to be characterized and quantified; (iii) the full pattern of pair wise interactions between network elements needs to be integrated and analyzed within the framework of network theory; (iv) the interdependencies between functional and structural
Graph theory, statistical physics and dynamical systems
While connectivity studies constitute a useful extension of local activation studies, the complexity of the data presents a challenge that is hard to face without a proper theoretical framework. One attempt to develop such a framework is modern network theory, also referred to as graph theory (Newman, 2010). While network theory and graph theory are sometimes referred to as if they were synonyms, they are not, and understanding how they are related may help to obtain a better idea what network
From local activation to network organization
In this review, we have argued for the need and potential usefulness of studying the brain from the perspective of a complex organized network (Fig. 9). The underlying question is simple and daunting at the same time: why is our brain so complex? If we assume that our brain is the result of a long evolutionary process we can expect that its complex organization is not random but rather reflects some kind of optimal solution to multiple, possibly conflicting, constraints. The question then
Acknowledgements
We thank Alexandra Linger for her secretary support.
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