Table 2.

Tree-building parameters and cost functions for adapting the simulated vasculature to the anatomical parameters. The subscript ‘sim’ refers to simulated values, the subscript ‘lit’ refers to values given in the literature, (table 1). The subscripts ‘A’ and ‘V’ symbolize arterioles and venules.

Tree-building parameter	Symbol	Cost function
Densities of terminal nodes	${\rho }_{\mathrm{\text{A,V}}}$	${\left(\frac{c_{\mathrm{\text{A,V;}}\mathrm{\text{sim}}}}{c_{\mathrm{\text{A,V;}}\mathrm{\text{lit}}}}-1\right)}^2$
Murray exponents	${\gamma }_{\mathrm{\text{A,V}}}$	${\left(\frac{{\left(\frac{r_{\mathrm{\text{A,V}}}}{r_{\mathrm{\text{T}}}}\right)}_{\mathrm{\text{sim}}}}{{\left(\frac{r_{\mathrm{\text{A,V}}}}{r_{\mathrm{\text{T}}}}\right)}_{\mathrm{\text{lit}}}}-1\right)}^2$
Pressure drops	$P_{\mathrm{\text{A,V}}}$	${\left(\frac{r_{\mathrm{\text{A,V;}}\mathrm{\text{sim}}}}{r_{\mathrm{\text{A,V;}}\mathrm{\text{lit}}}}-1\right)}^2+{\left(\frac{r_{\mathrm{\text{T;}}\mathrm{\text{sim}}}}{r_{\mathrm{\text{T;}}\mathrm{\text{lit}}}}-1\right)}^2$