Fig 8A-C show the centerlines calculated from the model best fit (red), the data (green), and the overlap (yellow) on day 3 (used to inform the initial conditions), day 5, and day 7 (used to calibrate the stalk cell growth rate). The ABM is shown in Fig 8D-F with tip cells in green, stalk cells in cyan, endothelial cells in red, tumor cells releasing VEGF in orange, and tumor cells not releasing VEGF in blue. In Fig 8G, we show the calibrated PDF and the Gaussian fit of the stalk cell growth rate. The best fit model recapitulates the general structural features of the data without allowing additional sprouts to form. We also note that from day 7 (depicted in Fig 8F) to day 9, only the two tumor cells in the bottom right of the domain contin...
<p>In plate A we indicate the morphology of the growing sprout (by using different colours) for diff...
(A-D) Data from cells amenable to tracking in the time-lapse experiment shown in Fig 1 and Fig 6. Da...
We develop a quantitative single cell-based mathematical model for multi-cellular tumor spheroids (M...
Panels (A)—(C) show the centerlines calculated from the model best fit in red, the data in green, an...
Fig 1A and 1B show the calibration of tumor and endothelial cell number and VEGF concentration to he...
Fig 4A displays the Day 11 length measurements from the confocal microscopy images of the angiogenic...
Effect of VEGF gradients on the mean overtake rate per sprout. The mean overtake rate per sprout was...
Fig 3A shows an example of temporally resolved IncuCyte images used for determining the tumor and en...
Effect of VEGF gradients on the sprout tip occupancy by WT cells. The mean (out of 10 simulations) o...
Each column depicts the data (green) and model prediction (red), with overlap in yellow, of days 5, ...
(A) Plot of Hill-type growth rate function as function of the volumetric strain ϵV = ϵV(p), for n = ...
Sensitivity of tip cell overtaking in cell elongation model. The mean overtake rate per sprout, base...
Abstract — Angiogenesis is the growth process of blood vessels from existing vessels. During angioge...
(a) The growth dynamics of proliferative tumors with different drug concentrations in homogeneous mi...
International audienceWe develop a quantitative single cell-based mathematical model for multi-cellu...
<p>In plate A we indicate the morphology of the growing sprout (by using different colours) for diff...
(A-D) Data from cells amenable to tracking in the time-lapse experiment shown in Fig 1 and Fig 6. Da...
We develop a quantitative single cell-based mathematical model for multi-cellular tumor spheroids (M...
Panels (A)—(C) show the centerlines calculated from the model best fit in red, the data in green, an...
Fig 1A and 1B show the calibration of tumor and endothelial cell number and VEGF concentration to he...
Fig 4A displays the Day 11 length measurements from the confocal microscopy images of the angiogenic...
Effect of VEGF gradients on the mean overtake rate per sprout. The mean overtake rate per sprout was...
Fig 3A shows an example of temporally resolved IncuCyte images used for determining the tumor and en...
Effect of VEGF gradients on the sprout tip occupancy by WT cells. The mean (out of 10 simulations) o...
Each column depicts the data (green) and model prediction (red), with overlap in yellow, of days 5, ...
(A) Plot of Hill-type growth rate function as function of the volumetric strain ϵV = ϵV(p), for n = ...
Sensitivity of tip cell overtaking in cell elongation model. The mean overtake rate per sprout, base...
Abstract — Angiogenesis is the growth process of blood vessels from existing vessels. During angioge...
(a) The growth dynamics of proliferative tumors with different drug concentrations in homogeneous mi...
International audienceWe develop a quantitative single cell-based mathematical model for multi-cellu...
<p>In plate A we indicate the morphology of the growing sprout (by using different colours) for diff...
(A-D) Data from cells amenable to tracking in the time-lapse experiment shown in Fig 1 and Fig 6. Da...
We develop a quantitative single cell-based mathematical model for multi-cellular tumor spheroids (M...