Many analyses of tumor growth have been studied mathematically by other in vestigators in experimental animals and human tumors, and several models of tumor growth curve have been demonstrated.
Usually, exponential or logistic growth curve is used as a well-fitting growth model for human tumors, especially primary and metastatic lung cancers. And it is not so difficult to make human tumors to fit on these growth curves. However, it is not seemed that these growth curves are enough to explane any biological and clinical validity.
Generally, solid tumors are said to contain both proliferating and non-proliferating fractions. Therefore, in this paper, a new growth curve model taking 2 parameters of r and p into consideration is shown. These new parameters of r and p are as follows; r is dependent on the frequency or ability of cell divisions and the least number of cell division to grow as a tumor, if these tumor cells could have more than the least number, p is division probability during time interval t.
As a result, a new model of tumor growth curve corresponds to the Gamma distribution, and the values of tumor volume measurement on the roentgenograms existsuccesively on this growth curve.
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