Tumor Growth and Regression

We considered serial tumor treatment schedules with both exponential and Gompertz growth laws. The figure below describes an extension of the exponential growth case for non-cycle specific agents. Here V is the tumor volume and the vertical lines indicate the reduction in the tumor volume after treatment.

• Maple Worksheet - Exponential growth

Gompertz Growth Law:

• Notes

• Maple Worksheet

Assignment 4 - Investigating Tumor growth and regression models. The file is postscript and can be viewed with a postscript viewer. Postscript file

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• P. Sullivan and S. Salmon, Kinetics of tumor growth and regression in IgG multiple myeloma, J. Clinical Investigation, 51, 1972, 1697-1708.
• J. Aroesty, T. Lincoln, N. Shapiro and G. Boccia, Tumor growth and chemotherapy: Mathematical models, computer simulations, and experimental foundations, Math. Biosciences, 17, 1973, 243-300.