Table 3.

Summary of the equations used for the numerical simulation depicted in Figs. 2 and 3

Variable	Equation
Proliferative tumor cells density	P t+∇·(vP)=Γ P+f QP Q−(f PQ+f PN)P
Quiescent cells density	Q t+∇·(vQ)=f PQ P−(f QP+f QN)Q
Necrotic tumor cells density	N t+∇·(vN)=f PN P+f QN Q
Host cells density	S t+∇·(vS)=0
Endothelial cells density	ρ t+∇·(vρ)+∇·(g CH)=f ρρ ρ
[O 2]	C t−∇·(D C∇C)=−g C+h C
[V E G F]	α t−∇·(D α∇α)=−g α+h α
Advection velocity	v=−k∇φ
Pressure	−∇·(k∇φ)=Γ P+f ρρ ρ−∇·(g CH)