A model for transport and dispersion in the circulatory system based on the vascular fractal tree.
Materials are distributed throughout the body of mammals by fractal networks of branching tubes. Based on the scaling laws of the fractal structure, the vascular tree is reduced to an equivalent one-dimensional, tube model. A dispersion-convection partial differential equation with constant coefficients describes the heterogeneous concentration profile of an intravascular tracer in the vascular tree. A simple model for the mammalian circulatory system is built in entirely physiological terms consisting of a ring shaped, one-dimensional tube which corresponds to the arterial, venular, and pulmonary trees, successively. The model incorporates the blood flow heterogeneity of the mammalian circulatory system. Model predictions are fitted to published concentration-time data of indocyanine green injected in humans and dogs. Close agreement was found with parameter values within the expected physiological range.
Dokoumetzidis
Aristides
A
School of Pharmacy, University of Athens, Panepistimiopolis, 157 71 Athens, Greece.
Macheras
Panos
P
D000818:Animals; D001158:Arteries / Q000502:physiology*; D001693:Biological Transport, Active / Q000502:physiology; D001775:Blood Circulation / Q000502:physiology*; D001783:Blood Flow Velocity; D001794:Blood Pressure; D003198:Computer Simulation; D004285:Dogs; D004395:Dye Dilution Technique; D017709:Fractals; D018056:Hemorheology / Q000379:methods*; D006801:Humans; D007208:Indocyanine Green / Q000493:pharmacokinetics; D008955:Models, Cardiovascular; D011652:Pulmonary Circulation / Q000502:physiology; D013045:Species Specificity; D014680:Veins / Q000502:physiology*
D007208:Indocyanine Green