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Fig. 2 | Biology Direct

Fig. 2

From: A mathematical approach to virus therapy of glioblastomas

Fig. 2

VSV front propagation speed as a function of the delay time τ, for model 1 (dotted lines), model 2 (dashed curves) and model 3 (solid curves). The hatched area shows the experimental in vitro VSV front speed [9]. Upper bounds are computed from: k 1=5·10−8 cm3/h, \(k_{2}=\frac {1}{36-\tau }\) h −1 (\(k_{2}=\frac {1}{36}\) h −1 for model 1), k 3=0.014 h −1, Y=108 and D VSV =1.44·10−4 cm2/h. Lower bounds are computed from: k 1=5·10−10 cm3/h, \(k_{2}=\frac {1}{60-\tau }\) h −1 (\(k_{2} =\frac {1}{60}\) h −1 for model 1), k 3=0.028 h −1, Y=106 and D VSV =8.37·10−5 cm2/h. The results from typical values (bold lines) are computed from: k 1=5·10−8 cm3/h, \(k_{2}=\frac {1}{48-\tau }\) h −1 (\(k_{2}=\frac {1}{48}\) h −1 for model 1), k 3=0.02 h −1, Y=108 and D VSV =8.37·10−5 cm2/h. In all the cases k=106 cells/cm3

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