### Abstract

Language | English |
---|---|

Title of host publication | The Fractal geometry of the brain |

Editors | Antonio Di Ieva |

Place of Publication | New York |

Publisher | Springer, Springer Nature |

Pages | 83-89 |

Number of pages | 7 |

ISBN (Print) | 9781493939954 |

DOIs | |

Publication status | Published - 2016 |

### Publication series

Name | Springer Series in Computational Neuroscience |
---|---|

Publisher | Springer |

### Fingerprint

### Keywords

- brain
- microglia
- neuroanatomy
- neuron
- fractal
- self-similarity
- neuronal networks

### Cite this

*The Fractal geometry of the brain*(pp. 83-89). (Springer Series in Computational Neuroscience). New York: Springer, Springer Nature. https://doi.org/10.1007/978-1-4939-3995-4_5

}

*The Fractal geometry of the brain.*Springer Series in Computational Neuroscience, Springer, Springer Nature, New York, pp. 83-89. https://doi.org/10.1007/978-1-4939-3995-4_5

**Fractals in neuroanatomy and basic neurosciences : an overview.** / Di Ieva, Antonio.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research

TY - CHAP

T1 - Fractals in neuroanatomy and basic neurosciences

T2 - an overview

AU - Di Ieva, Antonio

PY - 2016

Y1 - 2016

N2 - The introduction of fractal geometry in the neurosciences has been a major paradigm shift over the last decades as it has helped overcome approximations and limitations that occur when Euclidean and reductionist approaches are used to analyze neurons or the entire brain. Fractal geometry allows for quantitative analysis and description of the geometric complexity of the brain, from its single units to the neuronal networks. As illustrated in the second section of this book, fractal analysis provides a quantitative tool for the study of morphology of brain cells (i.e., neurons and microglia) and its components (e.g., dendritic trees, synapses) as well as the brain structure itself (cortex, functional modules, neuronal networks). The self-similar logic which generates and shapes the different hierarchical systems of the brain and even some structures related to its “container,” that is, the cranial sutures on the skull, is widely discussed in the following chapters, with a link between the applications of fractal analysis to the neuroanatomy and basic neurosciences to the clinical applications discussed in the third section.

AB - The introduction of fractal geometry in the neurosciences has been a major paradigm shift over the last decades as it has helped overcome approximations and limitations that occur when Euclidean and reductionist approaches are used to analyze neurons or the entire brain. Fractal geometry allows for quantitative analysis and description of the geometric complexity of the brain, from its single units to the neuronal networks. As illustrated in the second section of this book, fractal analysis provides a quantitative tool for the study of morphology of brain cells (i.e., neurons and microglia) and its components (e.g., dendritic trees, synapses) as well as the brain structure itself (cortex, functional modules, neuronal networks). The self-similar logic which generates and shapes the different hierarchical systems of the brain and even some structures related to its “container,” that is, the cranial sutures on the skull, is widely discussed in the following chapters, with a link between the applications of fractal analysis to the neuroanatomy and basic neurosciences to the clinical applications discussed in the third section.

KW - brain

KW - microglia

KW - neuroanatomy

KW - neuron

KW - fractal

KW - self-similarity

KW - neuronal networks

U2 - 10.1007/978-1-4939-3995-4_5

DO - 10.1007/978-1-4939-3995-4_5

M3 - Chapter

SN - 9781493939954

T3 - Springer Series in Computational Neuroscience

SP - 83

EP - 89

BT - The Fractal geometry of the brain

A2 - Di Ieva, Antonio

PB - Springer, Springer Nature

CY - New York

ER -