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The Presence of VEGF Receptors on the Luminal Surface of Endothelial Cells Affects VEGF Distribution and VEGF Signaling

Figure 2

Effects of VEGF secretion, vascular permeability, lymph flow rate and clearance.

A. Three scenarios are studied: scenario (a) our previous configuration from [9] (clearance rate cv = 0.0206 min−1); scenario (b) new clearance cv = 0.0648 min−1 in the absence of lymphatic drainage; scenario (c) introduction of the lymphatic drainage of VEGF kL = 2 cm3/min (120 mL/hour [15]) with the new clearance cv = 0.0648 min−1. B. Effect of VEGF secretion. Free VEGF concentration in the tissue is illustrated in blue. The purple curve corresponds to scenario (a) and the red curves to scenarios (b) and (c) for the plasma VEGF concentration. We consider two permeability rates kp = 4×10−8 cm/s (dotted curve) and 4×10−7 cm/s (dashed curve). C. Effect of vascular permeability to VEGF. Scenarios (a), (b) and (c) are represented as the dashed, dashed-dotted-dotted and solid curves respectively. The blue curve corresponds to the tissue while the red curve corresponds to the blood. D. Effect of lymph flow rate. We only consider scenarios (b) and (c) to look at the effect of adding the lymphatics to our model. We consider two permeability rates kp = 4×10−8 cm/s (dotted curve) and 4×10−7 cm/s (dashed curve). The blue curve corresponds to the tissue while the red curve corresponds to the blood. E. Effect of clearance rate. We consider two permeability rates kp = 4×10−8 cm/s (dotted curve) and 4×10−7 cm/s (dashed curve). The blue curve corresponds to the tissue. The pink curve corresponds to scenarios (a) and (b) and the red curve corresponds to the scenario (c) of Figure 2A for the plasma VEGF concentration.

Figure 2

doi: https://doi.org/10.1371/journal.pcbi.1000622.g002