. Author manuscript; available in PMC: 2015 Jul 15.

Published in final edited form as: Biopharm Drug Dispos. 2012 Sep 4;33(7):378–402. doi: 10.1002/bdd.1803

Table 4.

Calculated length, surface area, and surface-area-to-volume ratio, A_I/V_a, of a 100 ml cylinder as a function of percent compression assuming a constant perimeter

% compression	a^a (cm)	b^b (cm)	Length^c (cm)	Surface area^d (cm²)	A_I/V_a^e (cm⁻¹)
95	0.1	2.8	112.6	1415.1	14.15
90	0.2	2.8	56.4	708.9	7.09
70	0.6	2.8	19.2	241.2	2.41
60	0.8	2.7	14.7	184.3	1.84
50	1.0	2.6	12.0	151.2	1.51
30	1.4	2.5	9.3	116.3	1.16
0	2.0	2.0	8.0	100.0	1.00

Equal to average radius, r (equal to 2cm), times (100% – % compression)/100%.

Equal to √(r²/0.5 - a²). Uses approximate formula for the perimeter of an ellipse and sets it equal to the perimeter of a circle with a radius of 2 (2π*r = p = 2π*(a² + b²)/2).

Equal to 100cm³/a/b.

Equal to 2*π*r*length.

Equal to surface area/100 cm³.