Development of a quantitative relationship between CAR-affinity, antigen abundance, tumor cell depletion and CAR-T cell expansion using a multiscale systems PK-PD model

. 2019 Dec 18;12(1):1688616. doi: 10.1080/19420862.2019.1688616

\begin{aligned} \frac{d}{d t} C_{B l o o d} = [- (Q_{L u n g} + L_{L u n g}) \cdot C_{B l o o d} \\ + (Q_{G I} - L_{G I} + Q_{S p l e e n} - L_{S p l e e n} + Q_{L i v e r} - L_{L i v e r}) \cdot C_{L i v e r}^{V} \\ + (Q_{K i d n e y} - L_{K i d n e y}) \cdot C_{K i d n e y}^{V} + (Q_{B r a i n} - L_{B r a i n}) \cdot C_{B r a i n}^{V} \\ + (Q_{O t h e r} - L_{O t h e r}) \cdot C_{O t h e r}^{V} + (Q_{T u m o r} - L_{T u m o r}) \cdot C_{T u m o r}^{V} \\ + L_{L N} \cdot C_{L N}] / V_{B l o o d} \end{aligned}

(13)