Abstract

Cancer is caused by the lifetime accumulation of multiple somatic deformations of the genome and epigenome. At a very low rate, mistakes occur during genomic replication (e.g., mutations or modified epigenetic marks). Long-lived species, such as elephants, are suggested to have evolved mechanisms to slow down the cancer progression. Recently, the life span of companion dogs has increased considerably than before, owing to the improvement of their environment, which has led to an increase in the fraction of companion dogs developing cancer. These findings suggest that short-term responses of cancer risk to longevity differ from long-term responses. In this study, to clarify the situation, we used a simple multi-step model for cancer. The rates of events leading to malignant cancer are assumed to be proportional to those of genomic replication error. Perfect removal of replication error requires a large cost, resulting in the evolution of a positive rate of genomic replication error. The analysis of the model revealed: that, when the environment suddenly becomes benign, the relative importance of cancer enhances, although the age-dependent cancer risk remains unchanged. However, in the long run, the genomic error rate evolves to become smaller and mitigates the cancer risk.

Highlights

  • The body size, the total number of cell divisions, and the risk of cancer

  • The longevity of companion animals has increased, owing to the improvement of their food, shelter, hygiene, and health care. This has increased the proportion of individuals with malignant cancer

  • Because natural selection operates on the genomic replication machinery, the population would evolve a small but positive rate of replication error, which would cause some risk of cancer

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Summary

Introduction

The body size, the total number of cell divisions, and the risk of cancer. Some theoretical analysis of allometric relation among mammals has been developed to evaluate the risk of chromic myeloid l­eukemia[12,13]. The two curves differ significantly, implying that the evolutionary response of the genomic error rate x improved the longevity, especially for a small u. The curve labeled as "after adaptation" is the one when the genomic error rate is adjusted by evolution to be a smaller value: x = 0.0507 , which is the ESS under u = 0.0667 .

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