Panels (A)—(C) show the centerlines calculated from the model best fit in red, the data in green, and the overlap in yellow of day 3 (used to inform the initial conditions), Day 5, and day 7 (both used to calibrate the stalk cell growth rate). The agent-based model is shown in Panels (D)-(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 Panel (G), we show the calibrated PDF and the Gaussian fit of the stalk cell growth rate. The mean of the local stalk cell divide time (∼80 hours) is significantly higher than the global stalk cell divide time calibrated at ∼4 hours. This highlights the effect of the hypoxic tumor cells in the top r...
International audienceOptimising the delivery of antiangiogenic drugs requires the development of dr...
(A-D) Data from cells amenable to tracking in the time-lapse experiment shown in Fig 1 and Fig 6. Da...
Sensitivity of tip cell overtaking in cell elongation model. The mean overtake rate per sprout, base...
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...
Fig 1A and 1B show the calibration of tumor and endothelial cell number and VEGF concentration to he...
Fig 3A shows an example of temporally resolved IncuCyte images used for determining the tumor and en...
Each column depicts the data (green) and model prediction (red), with overlap in yellow, of days 5, ...
(A) Snapshots of predicted cellular structure and concentration fields of metabolites at different t...
(a) The growth dynamics of proliferative tumors with different drug concentrations in homogeneous mi...
(A) Plot of Hill-type growth rate function as function of the volumetric strain ϵV = ϵV(p), for n = ...
International audienceWe develop a quantitative single cell-based mathematical model for multi-cellu...
We develop a quantitative single cell-based mathematical model for multi-cellular tumor spheroids (M...
Effect of VEGF gradients on the mean overtake rate per sprout. The mean overtake rate per sprout was...
<p>(a) Tumor area <i>A<sub>T</sub></i> normalized by the area <i>A</i><sub>0</sub> of the growth per...
International audienceOptimising the delivery of antiangiogenic drugs requires the development of dr...
(A-D) Data from cells amenable to tracking in the time-lapse experiment shown in Fig 1 and Fig 6. Da...
Sensitivity of tip cell overtaking in cell elongation model. The mean overtake rate per sprout, base...
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...
Fig 1A and 1B show the calibration of tumor and endothelial cell number and VEGF concentration to he...
Fig 3A shows an example of temporally resolved IncuCyte images used for determining the tumor and en...
Each column depicts the data (green) and model prediction (red), with overlap in yellow, of days 5, ...
(A) Snapshots of predicted cellular structure and concentration fields of metabolites at different t...
(a) The growth dynamics of proliferative tumors with different drug concentrations in homogeneous mi...
(A) Plot of Hill-type growth rate function as function of the volumetric strain ϵV = ϵV(p), for n = ...
International audienceWe develop a quantitative single cell-based mathematical model for multi-cellu...
We develop a quantitative single cell-based mathematical model for multi-cellular tumor spheroids (M...
Effect of VEGF gradients on the mean overtake rate per sprout. The mean overtake rate per sprout was...
<p>(a) Tumor area <i>A<sub>T</sub></i> normalized by the area <i>A</i><sub>0</sub> of the growth per...
International audienceOptimising the delivery of antiangiogenic drugs requires the development of dr...
(A-D) Data from cells amenable to tracking in the time-lapse experiment shown in Fig 1 and Fig 6. Da...
Sensitivity of tip cell overtaking in cell elongation model. The mean overtake rate per sprout, base...