Diffusion on a hypercubic lattice with pinning potential: exact results for the error-catastrophe problem in biological evolution

In the theoretical biology framework one fundamental problem is the so-called error catastrophe in Darwinian evolution models. We reexamine Eigen's fundamental equations by mapping them into a polymer depinning transition problem in a " genotype " space represented by a uni-tary hypercubic lattice {0, 1} d. The exact solution of the model shows that error… CONTINUE READING