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. Author manuscript; available in PMC: 2021 Sep 16.
Published in final edited form as: IEEE Trans Biomed Eng. 2019 Oct 8;67(5):1450–1461. doi: 10.1109/TBME.2019.2938485

TABLE II.

TRANSITION TIMES BETWEEN EXPONENTIAL AND LINEAR RATES OF CELL POPULATION INCREASE

Duct size (μm) Transition time (days) Exponentia l fit (y = aekt) R 2 Linear fit (y = kt) R 2
100 5.60 14.02e0,714∙t 0.991 251.90 ∙ t 0.999
150 7.00 24.93e0,633∙t 0.992 737.09 ∙ t 0.998
200 6.38 16.82e0,717∙t 0.992 1164.38 ∙ t 0.989

Transition times between exponential and linear cell population increase rates observed across all duct diameters tested. Transition times were determined by iteratively dividing growth data for each duct size tested into exponential and linear subsets; with transition time chosen as the division time that maximized R2 across both exponential and linear sets. At early times, cell population increase rates (exponential) were observed to be similar across all duct diameters tested, while at later times the linear cell population expansion increased with increasing duct diameter.