Table 2.

A) Sample Buckingham Pi non-dimensional analysis demonstrating a reduction of tractable physical parameters for a fibrous scaffold from 6 (cf. bold in Table 1) to 4. Note that L, T, and M denote length, time, and mass. B) Selection of scales for the 3 primary dimensions, or units, for quantifying effects of the polymeric scaffold on the mechanobiology, plus a reduced list of non-dimensionalized parameters.

	Inflammatory Response, $y=f(k_q^p,\epsilon ,c^p,\omega ,r,{\varphi }^k)$
A.	Scaffold Parameter	Symbol	SI Units	General Units	π Group
	Degradation rate	$k_q^p$	days−1	L0T−1M0	1
	Porosity	ε	$\frac{\mathrm{g}/{\text{cm}}^3}{\mathrm{g}/{\text{cm}}^3}$	L0T0M0	ε
	Modulus	cp	MPa	L−1T−2M1	1
	Fiber diameter	ω	cm	L1T0M0	ω/rmin
	Pore size	r	cm	L1T0M0	r/rmin
	Alignment	ϕk	--	L0T0M0	ϕk

B.	Scales for L (length), T (time), and M (mass)			Inflammatory Response
	Ls = rmin, $T_s=1/k_q^p,M_s=c^p{r}_{\mathit{\text{min}}}/{(k_q^p)}^2$			y = f̌ (ε, ω/rmin,r/rmin,ϕk)