Functional Nonlinear Mixed Effects Models for Longitudinal Image Data

Xinchao Luo, Lixing Zhu, Linglong Kong, Hongtu Zhu*

*Corresponding author for this work

Research output: Chapter in book/report/conference proceedingConference proceedingpeer-review

4 Citations (Scopus)


Motivated by studying large-scale longitudinal image data, we propose a novel functional nonlinearmixed effectsmodeling (FNMEM) framework to model the nonlinear spatial-temporal growth patterns of brain structure and function and their association with covariates of interest (e.g., time or diagnostic status). Our FNMEM explicitly quantifies a random nonlinear association map of individual trajectories. We develop an efficient estimation method to estimate the nonlinear growth function and the covariance operator of the spatial-temporal process. We propose a global test and a simultaneous confidence band for some specific growth patterns.We conductMonte Carlo simulation to examine the finite-sample performance of the proposed procedures. We apply FNMEM to investigate the spatial-temporal dynamics of white-matter fiber skeletons in a national database for autism research. Our FNMEM may provide a valuable tool for charting the developmental trajectories of various neuropsychiatric and neurodegenerative disorders.

Original languageEnglish
Title of host publicationInformation Processing in Medical Imaging
Subtitle of host publication24th International Conference, IPMI 2015, Sabhal Mor Ostaig, Isle of Skye, UK, June 28 - July 3, 2015, Proceedings
EditorsSebastien Ourselin, Daniel C. Alexander, Carl-Fredrik Westin, M. Jorge Cardoso
Place of PublicationCham
Number of pages12
ISBN (Electronic)9783319199924
ISBN (Print)9783319199917
Publication statusPublished - 22 Jun 2015
Event24th International Conference on Information Processing in Medical Imaging, IPMI 2015 - Isle of Skye, United Kingdom
Duration: 28 Jun 20153 Jul 2015

Publication series

NameLecture Notes in Computer Science
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349
NameImage Processing, Computer Vision, Pattern Recognition, and Graphics
ISSN (Print)3004-9946
ISSN (Electronic)3004-9954
NameIPMI: International Conference on Information Processing in Medical Imaging


Conference24th International Conference on Information Processing in Medical Imaging, IPMI 2015
Country/TerritoryUnited Kingdom
CityIsle of Skye
Internet address

Scopus Subject Areas

  • Theoretical Computer Science
  • Computer Science(all)

User-Defined Keywords

  • Functional nonlinear mixed effects model
  • Functional response
  • Global test statistic
  • Simultaneous confidence band
  • Spatialtemporal pattern


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