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DY: Fachverband Dynamik und Statistische Physik
DY 70: Poster: Flows, Patterns, Delay, Reaction Diffusion
DY 70.11: Poster
Donnerstag, 15. März 2018, 15:30–18:00, Poster A
Adaptability of oxygen supply by vessel dilation — •Felix J. Meigel1, Peter Cha2, Michael P. Brenner2, and Karen Alim1,2 — 1Max Planck Institute for Dynamics and Self-Organization, Göttingen, Germany — 2Harvard University, Cambridge, MA, U.S.A.
Organs in mammals are pervaded by a vascular network, supplying the tissue with oxygen. In the brain, capillaries built a highly interconnected mesh each equipped with small muscles allowing for the constriction and dilation of capillaries. How much control of oxygen supply resides in the active adaptation of capillary diameter? Here, we build a theoretical model for oxygen transport and absorption in a capillary and determine how capillary geometry and network topology affect the control by active adaptation. On the level of an individual capillary, we derive analytically how vessel parameters affect the local change in oxygen supply due to dilation. Within the model we identify a regime of more than linear increase in supply, which we locate in the vasculature of recorded data of a rat brain excerpt. Extending our model to an entire network we statistically quantify the impact of network architecture on changes in supply profiles.