Each column depicts the data (green) and model prediction (red), with overlap in yellow, of days 5, 7, and 9, respectively. Each row shows the voxels predicted by the centerlines using different thresholds, with the voxels in the 99% prediction (top row), 95% prediction (middle row), and 90% prediction (bottom row) of the simulations. In Panel (C), the direction of vessel growth in the model shows the VEGF gradient going away from the direction of data and toward the hypoxic cells shown in Fig 9F. This leads to the overall directionality of the vessel to be misaligned with the data. Panels (J) and (K) shows the prediction of average centerline value from model to data and from data to model with an averaged normalized length difference of l...
<p>(<b>A</b>) Network of microvessels in rat mesentery, imaged using intravital microscopy. Shaded o...
<p>(A) Displays of the distribution of vascular parameters (VV, PS), transport parameters (DR – drai...
<p>(A) Detail of simulated tissue at various time points, showing the cells (top) and relative conce...
Each column depicts the data (green), model prediction (red), and overlap of the two (yellow) on day...
Fig 7A shows a RBG binarized image of vascular structure of day 3 in the microfluidic platform. Fig ...
Fig 6A-C show the uncertainty in the model prediction assuming uncertainty in one parameter calibrat...
Panels (A)—(C) show the centerlines calculated from the model best fit in red, the data in green, an...
Fig 8A-C show the centerlines calculated from the model best fit (red), the data (green), and the ov...
Fig 4A displays the Day 11 length measurements from the confocal microscopy images of the angiogenic...
We compare the relative error in the prediction of vessel centerlines calculated from simulations of...
Simulations were performed with microvessels seeded on the proximal (left) end of a rectilinear doma...
<p>(a) No angiogenesis. Tumor does not develop (necrotic (dead) cells are in blue). (b) High vs. low...
<p>Fig 13A and 13B relate vessel surface with vessel volume densities for normal (<i>t</i> = 0) and ...
<p>Oxygen levels in vessels and tissue are color coded according to scale at right. Dark blue indica...
<p>Distribution of cell lengths at different time points during the simulation. Red line and inset d...
<p>(<b>A</b>) Network of microvessels in rat mesentery, imaged using intravital microscopy. Shaded o...
<p>(A) Displays of the distribution of vascular parameters (VV, PS), transport parameters (DR – drai...
<p>(A) Detail of simulated tissue at various time points, showing the cells (top) and relative conce...
Each column depicts the data (green), model prediction (red), and overlap of the two (yellow) on day...
Fig 7A shows a RBG binarized image of vascular structure of day 3 in the microfluidic platform. Fig ...
Fig 6A-C show the uncertainty in the model prediction assuming uncertainty in one parameter calibrat...
Panels (A)—(C) show the centerlines calculated from the model best fit in red, the data in green, an...
Fig 8A-C show the centerlines calculated from the model best fit (red), the data (green), and the ov...
Fig 4A displays the Day 11 length measurements from the confocal microscopy images of the angiogenic...
We compare the relative error in the prediction of vessel centerlines calculated from simulations of...
Simulations were performed with microvessels seeded on the proximal (left) end of a rectilinear doma...
<p>(a) No angiogenesis. Tumor does not develop (necrotic (dead) cells are in blue). (b) High vs. low...
<p>Fig 13A and 13B relate vessel surface with vessel volume densities for normal (<i>t</i> = 0) and ...
<p>Oxygen levels in vessels and tissue are color coded according to scale at right. Dark blue indica...
<p>Distribution of cell lengths at different time points during the simulation. Red line and inset d...
<p>(<b>A</b>) Network of microvessels in rat mesentery, imaged using intravital microscopy. Shaded o...
<p>(A) Displays of the distribution of vascular parameters (VV, PS), transport parameters (DR – drai...
<p>(A) Detail of simulated tissue at various time points, showing the cells (top) and relative conce...