The hypothesis that cancer is a metabolic deficiency may be deduced from the behavior of breast cancer hazard rates.  The present model illustrates how this deficiency shapes the survival curve and particularly its hazard rates.

Clinically this deficiency is manifested by cachexia which is caused  by a shortage of a yet unknown metabolite A. In order to replenish the missing metabolite the organism grows a tumor which produces a substitute B.  Since the deficiency continually aggravates the tumor has to grow more and more in order to replenish the missing metabolite. It then spreads into remote sites and damages them. In its early stages  tumor ablation aggravates the deficiency and the hazard raises which is most pronounced in regional cancers. Patients with micro metastases are protected from therapy induced total ablation and their hazard rate declines.

In short cancer is a wasting disease which gradually turns into an overt cachexia and was therefore named pernicious cachexia . The tumor is regarded here as a protective measure against cachexia.

The first example depicts two groups of 100 random patients  suffering from a depletion of substance A. In the first group on the left the tumor produces a B substitute while in the second group on the right  no tumor is formed.  The left group proceeds through a phase  of compensation when the level of A+B  is constant. With time the deficiency deepens  and the tumor gets bigger. It becomes necrotic, reaches its maximal production  capacity, and the level of A+B declines. Cancer becomes de-compensated. In addition the tumor destroys vital functions driving the hazard rate to higher levels, when  A and B are finally depleted  patients die in a state of cachexia.

The graph on the right depicts patienta who lack a tumor and from the beginning their disease is de-compensated. Indeed in several reports published last century, the post mortem examinations  of  extremely cachectic  patients revealed that their tumors were very small.  The next figures depict the survival of both groups and their respective hazard rates.

In summary although the deficiency continually deepens, the tumor slows down its progression.

Let’s turn now to the final model version which illustrates a group of 100 patients in whom substance A declines from the beginning of the disease. The loss is compensated by a growing tumor  so that the sum of A+B remains constant.  When the tumor is finally detected and excised A+B level declines.  In some patients the tumor had seeded metastases prior to treatment. Following the excision of the tumor they start growing and rescue the patient from the deficiency. However since the deficiency continually aggravates, and the growing tumor becomes necrotic   B production declines. In addition it destroys vital functions and the diseases becomes de-compensated.

The next figures illustrates the survival curve and the respective hazard rates.

Compare it with the hazard rate computed from SEER data

Further reading
Goompertz model of bi-modal hazard rate
Pernicious cachexia
Hazard rates of other cancers

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