Modeling Tumor Growth

by Guillermina Lohfeldt

Submitted : Fall 2018

There are many types of tumors, they are abnormal masses of tissues that result when cells undergo autonomous or uncoordinated reproduction. When given hypothetical or even real dimensions of an encapsulated tumor, it is possible to determine its rate of growth and its volume at a certain point in time using calculus. Many doctors use the exponential function known as the “Gompertz Model”. The goal of this paper is to analyze the relationship between time and tumor volume. Also, to study the population model for tumor growth based on the graph of the “Gompertz Model” function. The following calculations were done assuming the tumor was a spherical shaped solid mass of cells encased in a membrane.

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