Investigating mathematical models of immuno-interactions with early-stage cancer under an agent-based modelling perspective

Table 8 Transition rates calculations from the mathematical equations for case 2

Agent	Transition	Mathematical equation	Transition rate
Effector Cell	Reproduce	$\frac{p_{1} . I_{L} E}{g 1 + I L_2}$	$\frac{p_{1} . T o t a l I L_2 . T o t a l E f f e c t o r}{g 1 + T o t a l I L_2}$
	Die	μ ₂ E	mu 2
	killTumour	$\frac{a_{a} E T}{g 2 + T}$	$a a \frac{T o t a l T u m o u r}{g 2 + T o t a l T u m o u r}$
	ProduceIL2	$\frac{p 2 E T}{g 3 + T}$	$\frac{p 2 . T o t a l T u m o u r}{g 3 + T o t a l T u m o u r}$
Tumour Cell	Reproduce	aT(1 - bT )	a - (TotalTumour.b)
	Die	aT(1 - bT )	a - (TotalTumour.b)
	DieKilledByEffector	$\frac{a_{a} T E}{g 2 + T}$	message from effector
IL-2	Loss	μ ₃ I _L	mu 3

ISSN: 1471-2105