Topological Methods for Characterising Spatial Networks: A Case Study in Tumour Vasculature
Understanding how the spatial structure of blood vessel networks relates to their function in healthy and abnormal biological tissues could improve diagnosis and treatment for diseases such as cancer. New imaging techniques can generate multiple, high-resolution images of the same tissue region, and...
| Main Authors: | , , , , , |
|---|---|
| Format: | Journal article |
| Published: |
Institute of Mathematics and its Applications
2019
|
| _version_ | 1797070373439668224 |
|---|---|
| author | Byrne, H Harrington, H Muschel, R Reinert, G Stolz, B Tillmann, U |
| author_facet | Byrne, H Harrington, H Muschel, R Reinert, G Stolz, B Tillmann, U |
| author_sort | Byrne, H |
| collection | OXFORD |
| description | Understanding how the spatial structure of blood vessel networks relates to their function in healthy and abnormal biological tissues could improve diagnosis and treatment for diseases such as cancer. New imaging techniques can generate multiple, high-resolution images of the same tissue region, and show how vessel networks evolve during disease onset and treatment. Such experimental advances have created an exciting opportunity for discovering new links between vessel structure and disease through the development of mathematical tools that can analyse these rich datasets. Here we explain how topological data analysis (TDA) can be used to study vessel network structures. TDA is a growing field in the mathematical and computational sciences, that consists of algorithmic methods for identifying global and multi-scale structures in high-dimensional data sets that may be noisy and incomplete. TDA has identified the effect of ageing on vessel networks in the brain and more recently proposed to study blood flow and stenosis. Here we present preliminary work which shows how TDA of spatial network structure can be used to characterise tumour vasculature. |
| first_indexed | 2024-03-06T22:37:52Z |
| format | Journal article |
| id | oxford-uuid:5a8b1f02-dcb9-4a0c-a832-98c32c5f64a4 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T22:37:52Z |
| publishDate | 2019 |
| publisher | Institute of Mathematics and its Applications |
| record_format | dspace |
| spelling | oxford-uuid:5a8b1f02-dcb9-4a0c-a832-98c32c5f64a42022-03-26T17:16:22ZTopological Methods for Characterising Spatial Networks: A Case Study in Tumour VasculatureJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:5a8b1f02-dcb9-4a0c-a832-98c32c5f64a4Symplectic Elements at OxfordInstitute of Mathematics and its Applications2019Byrne, HHarrington, HMuschel, RReinert, GStolz, BTillmann, UUnderstanding how the spatial structure of blood vessel networks relates to their function in healthy and abnormal biological tissues could improve diagnosis and treatment for diseases such as cancer. New imaging techniques can generate multiple, high-resolution images of the same tissue region, and show how vessel networks evolve during disease onset and treatment. Such experimental advances have created an exciting opportunity for discovering new links between vessel structure and disease through the development of mathematical tools that can analyse these rich datasets. Here we explain how topological data analysis (TDA) can be used to study vessel network structures. TDA is a growing field in the mathematical and computational sciences, that consists of algorithmic methods for identifying global and multi-scale structures in high-dimensional data sets that may be noisy and incomplete. TDA has identified the effect of ageing on vessel networks in the brain and more recently proposed to study blood flow and stenosis. Here we present preliminary work which shows how TDA of spatial network structure can be used to characterise tumour vasculature. |
| spellingShingle | Byrne, H Harrington, H Muschel, R Reinert, G Stolz, B Tillmann, U Topological Methods for Characterising Spatial Networks: A Case Study in Tumour Vasculature |
| title | Topological Methods for Characterising Spatial Networks: A Case Study in
Tumour Vasculature |
| title_full | Topological Methods for Characterising Spatial Networks: A Case Study in
Tumour Vasculature |
| title_fullStr | Topological Methods for Characterising Spatial Networks: A Case Study in
Tumour Vasculature |
| title_full_unstemmed | Topological Methods for Characterising Spatial Networks: A Case Study in
Tumour Vasculature |
| title_short | Topological Methods for Characterising Spatial Networks: A Case Study in
Tumour Vasculature |
| title_sort | topological methods for characterising spatial networks a case study in tumour vasculature |
| work_keys_str_mv | AT byrneh topologicalmethodsforcharacterisingspatialnetworksacasestudyintumourvasculature AT harringtonh topologicalmethodsforcharacterisingspatialnetworksacasestudyintumourvasculature AT muschelr topologicalmethodsforcharacterisingspatialnetworksacasestudyintumourvasculature AT reinertg topologicalmethodsforcharacterisingspatialnetworksacasestudyintumourvasculature AT stolzb topologicalmethodsforcharacterisingspatialnetworksacasestudyintumourvasculature AT tillmannu topologicalmethodsforcharacterisingspatialnetworksacasestudyintumourvasculature |