Relapse modeling cancer

The treatment of oncological diseases is one of the most difficult tasks of clinical medicine. Successful treatment is accompanied in some cases by a relapse followed by a sharp exacerbation of the disease. One of the causes of relapse may be the stimulation of the growth of a pool of dormant cells under the action of drugs. The paper develops a model of tumor cell growth, their destruction due to chemotherapy, and the growth of a pool of cells that are not susceptible to drugs. An assessment of the probability distribution of the moments of initiation of treatment and the moments of recurrence after the end of treatment is given.