Advances in removing mass transport limitations for more physiologically relevant in vitro 3D cell constructs

. 2021 Jun 30;2(2):021305. doi: 10.1063/5.0048837

$C (r, 0) = 0 for 0 \leq r \leq R$	$C_{0}$ = initial species concentration at the interface of source and construct
$C (R, t) = C_{0} - φ \frac{V_{c}}{V_{m}} - \bar{C} \frac{V_{c}}{V_{m} + V_{c}}$	$\bar{C}$ = average species concentration
$C (0, t) = 0$	R= outer radius of 3D construct
	r = radial distance
	t= time
	$V_{c}$ = volume of 3D tissue construct
	$V_{m}$ = volume of media
	φ = metabolic consumption rate (constant in the construct)