Stability constraints on structural and functional neuronal network connectivity

Many constraints on structural and functional cortical network connectivity have been suggested, based on ideas as diverse as minimization of axonal wiring length or volume, minimization of information processing steps, and maximization of complexity. This paper discusses recently suggested roles for static and dynamic network stability in providing further constraints on connectivity. A variety of network types and constraints will be covered, including ones involving purely excitatory, mixed excitatory-inhibitory, and small-world features. Dynamical implications for adaptability of networks and dynamically changing patterns of activity are discussed, with implications for what classes of brain structures are available to be selected by evolution.