Computational Simulation of the Hemodynamic Behavior of a Blood Vessel Network

Author(s):  
Nathan Weinstein ◽  
Alejandro Aviles ◽  
Isidoro Gitler ◽  
Jaime Klapp
2015 ◽  
Vol 5 (1) ◽  
Author(s):  
Inken D. Kelch ◽  
Gib Bogle ◽  
Gregory B. Sands ◽  
Anthony R. J. Phillips ◽  
Ian J. LeGrice ◽  
...  

Abstract Understanding of the microvasculature has previously been limited by the lack of methods capable of capturing and modelling complete vascular networks. We used novel imaging and computational techniques to establish the topology of the entire blood vessel network of a murine lymph node, combining 63706 confocal images at 2 μm pixel resolution to cover a volume of 3.88 mm3. Detailed measurements including the distribution of vessel diameters, branch counts and identification of voids were subsequently re-visualised in 3D revealing regional specialisation within the network. By focussing on critical immune microenvironments we quantified differences in their vascular topology. We further developed a morphology-based approach to identify High Endothelial Venules, key sites for lymphocyte extravasation. These data represent a comprehensive and continuous blood vessel network of an entire organ and provide benchmark measurements that will inform modelling of blood vessel networks as well as enable comparison of vascular topology in different organs.


Author(s):  
Devashish Shirvastava ◽  
Robert B. Roemer

This work presents the first numerical validation/sensitivity study of a new bio-heat equation, the tissue convective energy balance equation (TCEBE) in an unheated tissue with a simple but physiologically realistic 3D arterial blood vessel network. The validation of the TCEBE is performed by comparing its predictions of the tissue temperature field with the predictions of a test case in which the 3D conduction energy equation is solved in the tissue and the 1D convective energy equation is solved in the embedded blood vessel network. To perform the sensitivity analysis of the TCEBE, the effects of size of the vessels, and the inlet temperature of arterial blood on the tissue temperature distribution are presented. The relationship between the Pennes’ perfusion related term and the true tissue perfusion has also been investigated. Results show that 1) the TCEBE has a potential to replace the Pennes’ equation as a new, more accurate bio-heat equation, and 2) the Pennes’ perfusion related term is dominated by the heat transfer from larger vessels through their overall heat transfer coefficients, i.e. their ‘UA’ values, and the effect of true tissue perfusion on Pennes’ perfusion related term is negligible.


2013 ◽  
Vol 14 (3) ◽  
pp. 127-127 ◽  
Author(s):  
Kim Baumann

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