Oncogene activation and tumor suppressor gene inactivation find their sites of expression in the changes in time and space of the age-adjusted cancer incidence rate.

The purpose of the present investigation is to elucidate the relation between the distribution pattern of the age-adjusted incidence rate (AAIR) changes in time and space of 15 tumors of bothe sexes and the locations of centers of centripetal-(oncogene type) and centrifugal-(tumoe suppressor gene type) forces. The fitness of the observed log AAIR data sets to the oncogene type- and the tumor suppressor gene type-equilibrium models and the locations of 2 force centers were calculated by applying the least square method of Gauss to log AAIR pair data series with and without topological data manipulations, which are so designed as to let log AAIR pair data series fit to 2 variant (x, y) frameworks, the Rect-coordinates and the Para-coordinates. The 2 variant (x, y) coordinates are defined each as an (x, y) framework with its X axis crossed at a right angle to the regression line of the original log AAIR data (the Rect-coordinates) and as another framework with its X axis run in parallel with the regression line of the original log AAIR pair data series (the Para-coordinates). The fitness test of log AAIR data series to either the oncogene activation type equilibrium model (r = -1.000) or the tumor suppressor gene inactivation type (r = 1.000) was conducted for each of the male-female type pair data and the female-male type data, for each of log AAIR changes in space and log AAIR changes in time, and for each of the 3 (x, y) frameworks in a given neoplasia of both sexes. The results obtained are given as follows: 1) The positivity rates of the fitness test to the oncogene type equilibrium model and the tumor suppressor gene type model were each 63.3% and 56.7% with the log AAIR changes in space, and 73.3% and 73.3% with log AAIR changes in time, as tested in 15 human neoplasias of both sexes. 2) Evidence was presented to indicate that the clearance of oncogene activation and tumor suppressor gene inactivation is the sine qua non premise of carciniogenesis. 3) The r profile in which the correlation coefficient r, a measure of fitness to the 2 equilibrium models, is converted to either +(r > 0) or -(0 > r) for each of the original-, the Rect-, and the Para-coordinates was found to be informative in identifying a group of tumors with sex discrimination of cancer risk (log AAIR changes in space) or another group of environmental hormone-linked tumors (log AAIR changes in time and space)--a finding to indicate that the r-profile of a given tumor, when compared with other neoplasias, may provide a clue to investigating the biological behavior of the tumor. 4) The recent risk increase of skin cancer of both sexes, being classified as an example of environmental hormone-linked neoplasias, was found to commit its ascension of cancer risk along the direction of the centrifugal forces of the time- and space-linked tumor suppressor gene inactivation plotted in the 2-dimension diagram. In conclusion, the centripetal force of oncogene activation and centrifugal force of tumor suppressor gene inactivation found their sites of expression in the distribution pattern of a cancer risk parameter, log AAIR, of a given neoplasias of both sexes on the 2-dimension diagram. The application of the least square method of Gauss to the log AAIR changes in time and space, and also with and without topological modulations of the original sets, when presented in terms of the r-profile, was found to be informative in understanding behavioral characteristics of human neoplaisias.