Complex brain networks: graph theoretical analysis of structural and functional systems

E Bullmore, O Sporns - Nature reviews neuroscience, 2009 - nature.com
Recent developments in the quantitative analysis of complex networks, based largely on
graph theory, have been rapidly translated to studies of brain network organization. The …

Small-world brain networks

DS Bassett, ED Bullmore - The neuroscientist, 2006 - journals.sagepub.com
Many complex networks have a small-world topology characterized by dense local
clustering or cliquishness of connections between neighboring nodes yet a short path length …

The organization of physiological brain networks

CJ Stam, ECW Van Straaten - Clinical neurophysiology, 2012 - Elsevier
One of the central questions in neuroscience is how communication in the brain is organized
under normal conditions and how this architecture breaks down in neurological disease. It …

Epilepsy as a disorder of cortical network organization

MA Kramer, SS Cash - The Neuroscientist, 2012 - journals.sagepub.com
The brain is naturally considered as a network of interacting elements which, when
functioning properly, produces an enormous range of dynamic, adaptable behavior …

Small-world propensity and weighted brain networks

SF Muldoon, EW Bridgeford, DS Bassett - Scientific reports, 2016 - nature.com
Quantitative descriptions of network structure can provide fundamental insights into the
function of interconnected complex systems. Small-world structure, diagnosed by high local …

Graph theoretical analysis of complex networks in the brain

CJ Stam, JC Reijneveld - Nonlinear biomedical physics, 2007 - Springer
Since the discovery of small-world and scale-free networks the study of complex systems
from a network perspective has taken an enormous flight. In recent years many important …

Analyzing and modeling real-world phenomena with complex networks: a survey of applications

LF Costa, ON Oliveira Jr, G Travieso… - Advances in …, 2011 - Taylor & Francis
The success of new scientific areas can be assessed by their potential in contributing to new
theoretical approaches and in applications to real-world problems. Complex networks have …

The application of graph theoretical analysis to complex networks in the brain

JC Reijneveld, SC Ponten, HW Berendse… - Clinical neurophysiology, 2007 - Elsevier
Considering the brain as a complex network of interacting dynamical systems offers new
insights into higher level brain processes such as memory, planning, and abstract reasoning …

Small-world networks and epilepsy: graph theoretical analysis of intracerebrally recorded mesial temporal lobe seizures

SC Ponten, F Bartolomei, CJ Stam - Clinical neurophysiology, 2007 - Elsevier
OBJECTIVE: Neuronal networks with a so-called 'small-world'topography (characterized by
strong clustering in combination with short path lengths) are known to facilitate …

Evolving functional network properties and synchronizability during human epileptic seizures

KA Schindler, S Bialonski, MT Horstmann… - … Journal of Nonlinear …, 2008 - pubs.aip.org
We assess electrical brain dynamics before, during, and after 100 human epileptic seizures
with different anatomical onset locations by statistical and spectral properties of functionally …