Oxygen advection and diffusion in a three-dimensional vascular anatomical network

摘要: There is an increasing need for quantitative and computationally affordable models analyzing tissue metabolism hemodynamics in microvascular networks. In this work, we develop a hybrid model to solve the time-varying oxygen advection-diffusion equation vessels tissue. To obtain three-dimensional temporal evolution of concentration realistic complex vessel networks, used graph-based advection combined with finite-element based diffusion implicit time-advancing scheme. We validated algorithm both static dynamic conditions. also applied it vascular network obtained from rodent somatosensory cortex. Qualitative agreement was found in-vivo experiments.