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Mathematical Sciences Colloquium: Using Topological Shape Features to Characterize Medical Images: Case Studies on Lung and Brain Cancers

Friday, October 29, 2021 at 11:00am to 12:00pm

Erik Jonsson Academic Center (JO), JO 4.614
800 W. Campbell Road, Richardson, Texas 75080-3021


  • Using Topological Shape Features to Characterize Medical  Images: Case Studies on Lung and Brain Cancers:
  • Chul Moon, Statistical Sciences, Southern Methodist University


Tumor shape is a key factor that affects tumor growth and metastasis. This talk presents a topological feature computed by persistent homology to characterize tumor progression from digital pathology and radiology images and examines its effect on the time-to-event data. The proposed topological features are invariant to scale-preserving transformation and can summarize various tumor shape patterns. The topological features are represented in functional space and used as functional predictors in a functional Cox proportional hazards model. The proposed model enables interpretable inference about the association between topological shape features and survival risks. Two case studies are conducted using consecutive 143 lung cancer and 77 brain tumor patients. The results of both studies show that the topological features predict survival prognosis after adjusting clinical variables, and the predicted high-risk groups have significantly (at the level of 0.001) worse survival outcomes than the low-risk groups. Also, the topological shape features found to be positively associated with survival hazards are irregular and heterogeneous shape patterns, which are known to be related to tumor progression.


Coffee will be served in the alcove outside FO 2.406 from 10.30am to 11am.

UTD strives to create inclusive and accessible events in accordance with the Americans with Disabilities Act (ADA). If you require an accommodation to fully participate in this event, please contact the event coordinator (listed below) at least 10 business days prior to the event. If you have any additional questions, please email and the AccessAbility Resource Center at

Event Type

Lectures & Workshops

Target Audience

Undergraduate Students, Faculty & Staff, Alumni, General Public, Graduate Students


Research, Science & Technology, Career and Professional Development




Natural Sciences & Mathematics


Contact Information
Viswanath Ramakrishna
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