Modeling Tumor Blood Vessel Dynamics - Mathematical Methods and Models in Biomedicine - page 126

Fig. 4 Simulating vessel
network dynamics:
Adaptation of a 2D mesh
network over 25 iterations
(iteration number is shown at
left). Flow velocity is given
by the color map; the oxygen
contour lines are in black .
The initial and final network
boundaries are shown in
white in the top right and
bottom right panels. Blood
flows into the top left and
exits the bottom right
channel. With this parameter
set, there is an initial excess
of oxygen metabolism that
induces VEGF in the
beginning. Vessel dilation and
remodeling compensate,
relieving the initial hypoxia.
Local VEGF production
protects vessels from pruning,
even if shear is below the
lower threshold

Flow & Oxygen VEGF

1

5

10

15

20

25