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SUMMARY:Topological Data Analysis of Vascular Networks for use in Haemodyn
 amic Simulations - Jay Mackenzie (SofTMech - University of Glasgow)
DTSTART:20250624T151500Z
DTEND:20250624T155000Z
UID:TALK230740@talks.cam.ac.uk
DESCRIPTION:We wish to simulate blood flow in human arterial and venous ne
 tworks. In order to do this\, we require a mathematical model to solve and
  a computational domain in which to solve the equations. Such models can b
 e useful tools for gaining deeper insight into pathological conditions\, s
 uch as coronary stenosis\, and predicting the impact of pathologies on the
  tissues supplied with blood by the impacted blood vessels.\nHere\, I disc
 uss the process of generating 1D representations of network from medical i
 mages to use as computational domains. Essentially\, we seek to create a d
 irected tree from the imaged data in which the vertices have attributes of
  position in R^3 and a radius value and the edges have attributes of arc-l
 ength. From such a graph\, we can prune edges in a trade-off between compu
 tational domain fidelity and computational time. From the combination of t
 he final tree and pruned data we are able to estimate the region of an org
 an that is perfused from a given vessel. Finally\, we will see how the str
 ucture of the computational domain impacts simulated 1D flow in the networ
 k.
LOCATION:External
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