Zhang K, Sejnowski TJA universal scaling law between gray matter and white matter of cerebral cortex. Proc Natl Acad Sci USA 97:5621-5626

Howard Hughes Medical Institute, Computational Neurobiology Laboratory, The Salk Institute for Biological Studies, 10010 North Torrey Pines Road, La Jolla, California 92037, USA.
Proceedings of the National Academy of Sciences (Impact Factor: 9.67). 06/2000; 97(10):5621-6. DOI: 10.1073/pnas.090504197
Source: PubMed


Neocortex, a new and rapidly evolving brain structure in mammals, has a similar layered architecture in species over a wide range of brain sizes. Larger brains require longer fibers to communicate between distant cortical areas; the volume of the white matter that contains long axons increases disproportionally faster than the volume of the gray matter that contains cell bodies, dendrites, and axons for local information processing, according to a power law. The theoretical analysis presented here shows how this remarkable anatomical regularity might arise naturally as a consequence of the local uniformity of the cortex and the requirement for compact arrangement of long axonal fibers. The predicted power law with an exponent of 4/3 minus a small correction for the thickness of the cortex accurately accounts for empirical data spanning several orders of magnitude in brain sizes for various mammalian species, including human and nonhuman primates.

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Available from: Terrence Sejnowski, Jan 01, 2015
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    • "There are also drawbacks to the use of rodent models. The rodent brain is lissencephalic with a much smaller proportion of white matter than is present in humans (Zhang and Sejnowski, 2000). The foci of neurogenesis and timing of myelination are different . "
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    ABSTRACT: Complications of prematurity often disrupt normal brain development and/or cause direct damage to the developing brain, resulting in poor neurodevelopmental outcomes. Physiologically relevant animal models of perinatal brain injury can advance our understanding of these influences and thereby provide opportunities to develop therapies and improve long-term outcomes. While there are advantages to currently available small animal models, there are also significant drawbacks that have limited translation of research findings to humans. Large animal models such as newborn pig, sheep and nonhuman primates have complex brain development more similar to humans, but these animals are expensive, and developmental testing of sheep and piglets is limited. Ferrets (Mustela putorius furo) are born lissencephalic and undergo postnatal cortical folding to form complex gyrencephalic brains. This review examines whether ferrets might provide a novel intermediate animal model of neonatal brain disease that has the benefit of a gyrified, altricial brain in a small animal. It summarizes attributes of ferret brain growth and development that make it an appealing animal in which to model perinatal brain injury. We postulate that because of their innate characteristics, ferrets have great potential in neonatal neurodevelopmental studies. Copyright © 2015. Published by Elsevier Ltd.
    Full-text · Article · Jun 2015 · International journal of developmental neuroscience: the official journal of the International Society for Developmental Neuroscience
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    • ", 2014 ) . Morphological anomalies described in ASD infants have been proposed as a correlate of the atypical organization of brain con - nectivity ( Zhang and Sejnowski , 2000 ; Lewis and Elman , 2008 ) . Indeed , the first years of postnatal life represent a crucial time period of brain development characterized in typical develop - ment by both axonal pruning and synaptogenesis to build up and strengthen cortical networks . "
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    ABSTRACT: There is overwhelming evidence that autism spectrum disorder (ASD) is related to altered brain connectivity. While these alterations are starting to be well characterized in subjects where the clinical picture is fully expressed, less is known on their earlier developmental course. In the present study we systematically reviewed current knowledge on structural connectivity in ASD infants and toddlers. We searched PubMed and Medline databases for all English language papers, published from year 2000, exploring structural connectivity in populations of infants and toddlers whose mean age was below 30 months. Of the 264 papers extracted, four were found to be eligible and were reviewed. Three of the four selected studies reported higher fractional anisotropy values in subjects with ASD compared to controls within commissural fibers, projections fibers, and association fibers, suggesting brain hyper-connectivity in the earliest phases of the disorder. Similar conclusions emerged from the other diffusion parameters assessed. These findings are reversed to what is generally found in studies exploring older patient groups and suggest a developmental course characterized by a shift toward hypo-connectivity starting at a time between two and four years of age.
    Full-text · Article · Apr 2015 · Frontiers in Human Neuroscience
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    • "cortical scaling across mammalian species (Zhang and Sejnowski, 2000) may not apply to cortical scaling within a species, e.g., within humans (Peters et al., 1998; Im et al., 2008). Therefore, in the context of the present study we aimed at revealing how the disproportionally increased WM is distributed within the cortex in larger compared with smaller human brains. "
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