Skip Navigation

  • join logo Join
  • hands shaped like a yellow heart icon Give
  • advocate logo Advocate
  • publish logo Publish
  • Icon with thought bubbles Learn
Shop Sign In
SfN Logo 2025
  • Membership
    • Learn About Membership
      • Individual Member Benefits
      • Institutional Program Member Benefits
      • Sustaining Associate Member Benefits
      • Get Involved at SfN
    • Become a Member
      • Sponsorship Information for New Members
      • Membership Categories & Fees
      • Membership Fees for Developing Countries
      • Renew Individual Membership
    • Member Resources
      • Automatic Renewals
      • Frequently Asked Questions
      • Individual Member Directory
      • Member Obituaries and Memorial Donations
    • Learn About Local Chapters
      • Start or Reactivate a Chapter
      • Resources for Chapters
      • Submit Annual Report
      • Chapter Directory
      • Frequently Asked Questions
  • Meetings
    • Meetings Overview
    • Neuroscience 2026
      • Dates and Deadlines
      • Exhibits
      • Housing and Travel
      • Call for Abstracts
      • Sessions and Events
      • Registration
      • Advertising and Sponsorship
      • FAQs
    • Global Events
      • SfN Virtual Events
    • Past and Future Annual Meetings
      • Neuroscience 2025
      • Neuroscience 2024
      • Search Past Annual Meeting Abstracts
      • Attendance Statistics
    • Meeting Policies and Guidelines
      • Code of Conduct at SfN Events
      • Growth and Opportunity Strategy
      • Photography & Recording Policy
      • Presenter Guidelines and Policies for SfN Events
    • Meeting Awards
      • Trainee Professional Development Award
      • International Travel Awards
      • FENS Member Awards to SfN Annual Meeting
      • IBRO Member Awards to SfN Annual Meeting
      • JNS Member Awards to SfN Annual Meeting
  • Careers
    • Careers Overview
    • Institutional Program (IP) Directory
    • NeuroJobs Career Center
      • Job Seekers
      • Employers
    • Graduate School Fair
    • Career Tools and Resources
      • Neuronline
      • Neurobiology of Disease Workshop
      • Responsible Conduct of Research Short Courses
      • Neuroscience Departments and Program Workshop
      • Global Funding Sources
    • Higher Education and Training
      • Core Competencies
      • Neuroscience Training Program Survey
    • Awards
      • Outstanding Career and Research Achievements
      • Early Career
  • Initiatives
    • Initiatives Overview
    • Awards
      • 2025 Award Recipients
      • Awards and Prizes FAQ
      • Trainee Professional Development Award
    • Neuroscience Scholars Program
    • Neuronline
      • Webinars
      • Articles
      • Videos
      • Podcasts
      • Collections
    • Resources to Stay Connected
      • SfN Zoom Backgrounds
    • Community
    • Women and Neuroscience
      • Increasing Women in Neuroscience (IWiN) Courses & Toolkit
      • Celebration of Women in Neuroscience Event
      • Awards
    • Animals in Research
      • Support for Members and Institutions
      • Tools and Resources
      • Resources for Medical Students
    • Public Education Programs
      • Resources for Educators
      • Brain Awareness Video Contest
      • Life of a Neuron Exhibit
  • Advocacy
    • Advocacy Overview
    • Advocacy Response
    • Advocacy Network
      • The NeuroAdvocate Challenge
      • Advocacy Action Center
      • Advocacy Best Practices
      • Advocacy Network News
      • Advocacy Training Seminars
    • US Advocacy Programs
      • Capitol Hill Day
      • Connect with Policymakers
      • Early Career Policy Ambassadors
      • Partner with a Local Chapter
      • Engage the Media
    • Global Advocacy Programs
      • Global Neuroscience Initiatives
      • Global Funding
      • North American Programs
    • Science Funding
      • Advocacy Videos
      • Advocacy Resources
      • US Neuroscience Initiatives
      • Funding Priorities and Processes
    • Policy Positions
      • Statements and Testimony
      • Sign-On Letters
  • Outreach
    • Outreach Overview
    • BrainFacts
    • Find a Neuroscientist
    • Brain Awareness Campaign
      • Webinar: The ABC's of BAW
      • How to Get Involved
    • Awards
      • Award for Education in Neuroscience
      • Next Generation Award
      • Chapter of the Year Award
      • Science Educator Award
  • Publications
    • Publications Overview
    • SfN News
    • JNeurosci
    • eNeuro
    • SfN Nexus
    • Neuroscience Quarterly
    • Annual Report
    • History of Neuroscience Autobiographical Chapters
  • About
    • About Overview
    • Mission and Strategic Plan
    • What We Do
      • Annual Report
      • Bylaws
      • Resolutions to the Bylaws
      • Environmental Commitment
      • Strategic Partners
      • History of SfN
    • SfN 50th Anniversary Celebration
    • NIH Public Health Service-Supported Funding Financial Conflict of Interest Policy
    • Volunteer
      • SfN Council
      • SfN Presidents
      • Committees
      • Elections
      • Call for Nominations
    • Professional Conduct
      • SfN Ethics Policy
      • Guidelines for Responsible Conduct Regarding Scientific Communication
      • Code of Conduct at SfN Events
      • Commitment to Scientific Integrity
      • Neuronline Digital Learning Community Guidelines
    • History of Neuroscience
      • Autobiographical Chapters
      • Autobiographical Videos of Prominent Neuroscientists
      • Classic Papers
      • Neuroscience History Resources
      • Robert Doty's Chapter on Neuroscience
    • Careers and Staff
      • Staff List
  1. Meetings
  2. Past and Future SfN Meetings
  3. Abstract Archive
  4. Abstract Archive

Neuroscience 2002 Abstract

Presentation Number: 506.13
Abstract Title: FRACTAL STRUCTURE IN HUMAN CEREBELLUM MEASURED BY MRI.
Authors: Zhang, L. D.*1 ; Yue, G. H.1 ; Liu, J. Z.1
1Dept. of Biomedical Engineering, Cleveland Clinic Foundation, Cleveland, OH

Primary Theme and Topics Techniques in Neuroscience
- Data analysis, physiological methods, statistics
Secondary Theme and Topics Motor Systems<br />- Cerebellum<br />-- Cortex
Session: 506. Data analysis, physiological methods, statistics: MEG, fMRI, EEG, etc.
Poster
Presentation Time: Tuesday, November 5, 2002 8:00 AM-9:00 AM
Location: Hall A2-B3 AA-41
Keywords: FRACTAL DIMENSION, SKELETON, BRAIN, FRACTAL
Fractal geometry has been used to quantify the structure of a wide range of objects in biology and medicine. In this study we measured the fractal dimension of human cerebellum (CB) using MR CB images. Coronal MRI brain images covering the whole CB were collected from healthy adult subjects using a 1.5 T Siemens Vision scanner and 3-D Turboflash imaging sequence (TR/TE = 11.4/4.4ms, flip angle = 10°). Slice thickness was 2 mm, in-plane resolution was 1 x 1 mm2. The CB images were segmented out manually from the collected images, and then were resampled to be 1 mm in thickness. The resulted images were further resampled to a series of image sets with 3-D resolutions (Δ) of 1/4, 1/2, 2, 4 mm. The interfaces between white matter and gray matter in each image set were extracted using a user-modified contour algorithm in Matlab and a histogram-based thresholding. The rendered contour images were then binarized (i.e., voxels within the contours were assigned as 1, otherwise 0). A thinning method was applied to the binary images and skeletons of the CB were obtained. The number of voxels (N) that belong to the skeleton was calculated in each image set. The box-counting dimension was adopted to define the fractal dimension (D) of CB skeleton, which was determined from the relationship between N and Δ (i.e., N ∝ Δ-D) by fitting the data. The preliminary results from 3 subjects indicated the CB fractal dimension is about 2.6 (± 0.1), suggesting that the CB skeleton is highly fractal. The fractal dimension may serve as a quantitative index for structural complexity of the CB at its developmental, degenerative, diseased or evolutional stages.
Supported by NIH grants NS37400 and HD36725

Sample Citation:

[Authors]. [Abstract Title]. Program No. XXX.XX. 2002 Neuroscience Meeting Planner. Orlando, FL: Society for Neuroscience, 2002. Online.

Copyright © 2002-2026 Society for Neuroscience; all rights reserved. Permission to republish any abstract or part of any abstract in any form must be obtained in writing by SfN office prior to publication.

SfN Websites
  • BrainFacts.org logo
  • eNeuro logo
  • JNeurosci logo
  • Neuronline logo
Engage with SfN
  • join Join
  • give Give
  • advocate Advocate
  • publish Publish
Quick Links
  • SfN News
  • For Press
  • Global Events
  • Contact Us
  • Advertise
  • Code of Conduct
  • Jobs at SfN
  • SfN Store
  • Social Media
Follow SfN
  • BlueSky logo
  • Facebook logo
  • Instagram logo
  • LinkedIn logo

  • Threads logo
  • X Logo
  • YouTube logo
SfN logo with "SfN" in a blue box next to Society for Neuroscience in red text and the SfN tag line that reads "Advancing the understanding of the brain and nervous system"
1121 14th Street NW, Suite 1010, Washington, D.C. 20005
(202) 962-4000 | 1-888-985-9246
  • Accessibility Policy
  • Disclaimer
  • Privacy Notice
  • Contact Us

Copyright ©
Society for Neuroscience