Modeling multiple anomalous diffusion behaviors on comb-like structures

In this work, a generalized comb model which includes the memory kernels and linear reactions with irreversible reversible parts are introduced to describe complex anomalous diffusion behavior. The probability density function (PDF) mean squared displacement (MSD) obtained by analytical methods. Three different physical models studied according reaction processes. When no take place, we extend process in 1-D under stochastic resetting N-D comb-like structures backbone global using physically derived kernels. We find that two ways only affect asymptotic behavior of MSD long time. For reaction, obtain based on experimental evidence transport inert particles spiny dendrites explore front propagation CaMKII along dendrites. plays an important role intermediate time, but is same case terms. proposed reaction-diffusion structure provides method for further study various problems.