Computing the partial pressure of oxygen, we use a 3D-1D coupled model for blood flow and oxygen transport. At the same time, we use the partial pressure of oxygen to check whether the considered tissue block is supplied sufficiently with oxygen. ![]() In each step, we compute the local gradient of the partial pressure of oxygen and adapt the orientation of the new vessels to this gradient. To optimise the structure of the vascular trees, we use Murray's law to determine the radii of the vessels and bifurcation angles. The microvascular networks are constructed in a marching way by adding vessels to the outlets of the vascular tree from the previous step. Thus there is a need for fast and reliable reconstruction algorithms yielding surrogate networks having similar stochastic properties as the original ones. ![]() ![]() Contrary to larger vessels, the reconstruction of fine-scale components of microvascular networks shows significant segmentation errors, and an accurate mapping is time and cost intense. In this work, we introduce an algorithmic approach to generate microvascular networks starting from larger vessels that can be reconstructed without noticeable segmentation errors.
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