A new derivation of the Gompertz/logistic function

The derived models suggest that the tumor could follow the Mendelsohn model as long as this strategy is optimal. I still have no clue, how long this strategy is optimal. But for sure the tumor has a kind of survival strategy. First the tumor just uptake nutrients by its surface. It is still not detectable by medical exams. Later the tumor changes its strategy, building own blood vessels. This might have two reasons. Reason 1 is that the tumor can't uptake enough nutrients by its surface anymore. Reason 2 is that the tumor, which getting now detectable, has to suspect that it get detected and killed. Therefore the tumor spread (metastases) to maximize the chance that its species survive. Tumor growth could be seen as an evolutionary process, thus extremely optimized and difficult to handle.

Hence:

• Develop a method to detect the tumor as early as possible
• As the tumor is still in the diffusion limited state, do not use ordinary chemotherapeutic agents injected into your bloodstream. Better develop a chemotherapeutic agent which works only locally, similar like radiation therapy or local anesthetic.
  

More about that in the next log(s).