Quantum and classical approaches to a biological problem of particle transition through non-stationary barriers

The most part of biological tasks coincide with temperature areas, where quantum and classical effects are equivalent, or the classical one is dominating. The extent of influence of quantum or classical effect was considered in the work in application to one of the most significant problems of biological activity: particle transition through non-stationary barriers. It is interesting that the results obtained using different approaches, quantum and classical, are the same. It seems that the particle dynamics is characterized by non-coherent relaxation with rate of diffusion.