Limits of applicability for the deterministic approximation of the two-step clonal expansion model

Motivated by a hypothesis published recently the limits of applicability of the deterministic approximation of the two-step clonal expansion model are investigated. The approximate hazard increases unlimited, while the exact hazard is approaching a constant value. The approximate solution becomes in applicable for hazards in the order of that constant rate. When the initiat ion rate is much larger than the cell division rate, the survival rate is s mall when the approximation becomes inapplicable. The simplicity of the exa ct solutions suggests using them in all situations.