Table 1.

Summary of model parameter values for baseline studies. In the final column, ‘experiment’ refers to the fitting to experimental data described in §2.1 and the electronic supplementary material, and ‘histology’ indicates estimation from histological tissue images, such as those illustrated in figure 1 or at www.virtualpathology.leeds.ac.uk, or from the cited references. The parameter k₀ has been estimated based on the value of r₁ (transport rate between cell layers) in the multi-layer model of [6]. The parameter k_v has been chosen to give slower transport across the vessel wall than across the cell membrane, though in the disordered, leaky tumour vasculature this is likely to be highly variable. Note that the volume fractions used in §2 are defined by and where they are combined with the relevant compartmental volumes, V_i. We chose these to match the volumes of biological cells, though this is not necessary.

variable	value	description	source of estimate
l	1.6 × 10−5 m	vessel radius	histology [21]
L	2.0 × 10−4 m	cord radius (vessel + approx. nine cells)	histology [22,23]
r	∼1.0 × 10−5 m	cell radius	histology [24]
δ	0.0625	extracellular–intracellular volume ratio parameter	histology [6,25]
α	∼1.94028 × 105 m−1	membrane surface–tissue volume ratio
k0	2.5 × 10−6 m s−1	permeability between cells	[6]
k1	1.0 × 10−6 m s−1	permeability across cell membrane	experiment
k2	0.90 × 10−6 μM−1 s−1	drug association rate	experiment
k−2	14.0 × 10−5 s−1	drug dissociation rate	experiment
kv	1.25 × 10−7 m s−1	permeability across vessel wall	estimated
D	5.0 × 10−11 m2 s−1	interstitial diffusion rate	D = 2k0r
C0	2.6 × 103 μM	binding site concentration	experiment