OPTRACE Interactive Models

Units: depth d in mm; retention R in %. Graft volume V in nL; radius r in µm. Hypoxic volume (orange) = HypoR × V (right axis). Growth G and Gmax are shown as fold of increase. Max volume slider is capped at 4200 nLr = 1000 µm.

1) Retention vs Injection Depth

Model: R(d) = 1 − exp(−β·d)
0.24
0.50

2) Hypoperfusion / Hypoxia vs Graft Volume

Model (radius form): HypoR(r)=0 if r ≤ 100 µm; else ((r−100)/r)3. “Hypoxic volume” (orange) = HypoR × V.
4200
100

3) Growth Rate vs Implantation Volume (Eq. 3; Fig. 3M)

Model: G(V) = Gmax · ( OxygenatedFraction(V) )γ, where OxygenatedFraction(V) = 1 − (1 − 100/r)3, and r = (3V/4π)1/3 (with unit conversion). Adjust γ to see how the curve shape changes.
1.0
10.0
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