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Date of download: 10/16/2017 Copyright © ASME. All rights reserved.

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1 Date of download: 10/16/2017 Copyright © ASME. All rights reserved. From: Improving Accuracy in Arrhenius Models of Cell Death: Adding a Temperature-Dependent Time Delay J Biomech Eng. 2015;137(12): doi: / Figure Legend: PC3 cell survival curve at 44 °C [9]. Experiment data (solid circles) and single-step irreversible Arrhenius model fit (solid line).

2 Date of download: 10/16/2017 Copyright © ASME. All rights reserved. From: Improving Accuracy in Arrhenius Models of Cell Death: Adding a Temperature-Dependent Time Delay J Biomech Eng. 2015;137(12): doi: / Figure Legend: PC3 cell survival curve at 44 °C. Experiment data in the constant-rate region (solid squares) are fit by: C(t) = 2.639 exp{ −1.702 × 10−3t), r2 = 0.996 (solid line). The remaining shoulder region data are shown as open circles.

3 Date of download: 10/16/2017 Copyright © ASME. All rights reserved. From: Improving Accuracy in Arrhenius Models of Cell Death: Adding a Temperature-Dependent Time Delay J Biomech Eng. 2015;137(12): doi: / Figure Legend: Arrhenius plot for the PC3 cell survival curve data. The regression fit is: ln{k} = 77.90–26,721/T with r2 = 0.889.

4 Date of download: 10/16/2017 Copyright © ASME. All rights reserved. From: Improving Accuracy in Arrhenius Models of Cell Death: Adding a Temperature-Dependent Time Delay J Biomech Eng. 2015;137(12): doi: / Figure Legend: Time delay versus temperature regression line is: td (s) = 2703 − 49.6 T (°C) or 16,252 − 49.6 T (K)

5 Date of download: 10/16/2017 Copyright © ASME. All rights reserved. From: Improving Accuracy in Arrhenius Models of Cell Death: Adding a Temperature-Dependent Time Delay J Biomech Eng. 2015;137(12): doi: / Figure Legend: The Arrhenius fit to PC3 data including a time delay is improved to an acceptable level of accuracy. Temperatures from 44 to 52 °C, as marked.

6 Date of download: 10/16/2017 Copyright © ASME. All rights reserved. From: Improving Accuracy in Arrhenius Models of Cell Death: Adding a Temperature-Dependent Time Delay J Biomech Eng. 2015;137(12): doi: / Figure Legend: The Arrhenius fit to AT1 calcein leakage data with time delay is improved to an acceptable level of accuracy. Temperatures: 45 (solid squares), 50 (solid circles), 55 (solid triangles), 60 (open circles), and 70 °C (open squares). Time delay Arrhenius fit lines as marked, no time delay is required at 70 °C.

7 Date of download: 10/16/2017 Copyright © ASME. All rights reserved. From: Improving Accuracy in Arrhenius Models of Cell Death: Adding a Temperature-Dependent Time Delay J Biomech Eng. 2015;137(12): doi: / Figure Legend: AT1 PI uptake data do not exhibit an observable time delay. Temperatures: 40 (open squares), 45 (solid circles), 50 (solid triangles), 55 (open circles), and 60 °C (solid squares). The Arrhenius fit lines are based on the published coefficients: A = 2.99 × 1037 and Ea = 244.8 (kJ mol−1) and are labeled.

8 Date of download: 10/16/2017 Copyright © ASME. All rights reserved. From: Improving Accuracy in Arrhenius Models of Cell Death: Adding a Temperature-Dependent Time Delay J Biomech Eng. 2015;137(12): doi: / Figure Legend: AT1 clonogenicity data compared to the simple Arrhenius fits without time delay. Temperatures: 45 (solid squares), 46 (solid circles), 47 (solid triangles), 48 (solid nabla), and 50 °C (open squares). The Arrhenius fit lines are based on the published coefficients: A = 1.04 × 1084 and Ea =  (kJ mol−1) and are labeled. In all cases, the fit line grossly overestimates the measured values.

9 Date of download: 10/16/2017 Copyright © ASME. All rights reserved. From: Improving Accuracy in Arrhenius Models of Cell Death: Adding a Temperature-Dependent Time Delay J Biomech Eng. 2015;137(12): doi: / Figure Legend: AT1 clonogenicity data compared to the Arrhenius fits with time delay added according to Eq. (9) for the same experiment data. Temperatures: 45 (solid squares), 46 (solid circles), 47 (solid triangles), 48 (solid nabla), and 50 °C (open squares). The constant-rate region Arrhenius coefficients are: A = 5.948 × 1082 and Ea =  (kJ mol−1) and are labeled. The time-delay fit line now fairly estimates the measured values with the exception of 47 °C.

10 Date of download: 10/16/2017 Copyright © ASME. All rights reserved. From: Improving Accuracy in Arrhenius Models of Cell Death: Adding a Temperature-Dependent Time Delay J Biomech Eng. 2015;137(12): doi: / Figure Legend: The Arrhenius fit to CHO loss of clonogenicity data with time delay is improved to an acceptable level of accuracy. Temperatures: 43 (solid squares), 44 (solid circles), 45.5 (solid triangles), and 46.5 °C (open circles). Time delay Arrhenius fit lines as marked.

11 Date of download: 10/16/2017 Copyright © ASME. All rights reserved. From: Improving Accuracy in Arrhenius Models of Cell Death: Adding a Temperature-Dependent Time Delay J Biomech Eng. 2015;137(12): doi: / Figure Legend: Plot of calculated kinetic coefficients from Table 1 on the He–Bischof line. The hollow symbols are coefficients from the original data, and the solid symbols represent the coefficients including a time delay. The inverted triangles = AT1 calcein leakage data, the left going arrow heads = PC3 data, the open diamond = AT1 PI data, the open triangle = SN12 PI data, the circles = AT1 clonogenicity data, and the squares = CHO clonogenicity data.


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