Hydrodynamic limit of a stochastic model of proliferating cells with chemotaxis

A hybrid stochastic individual-based model of proliferating cells with chemotaxis is presented. The expressed by a branching diffusion process coupled to partial differential equation describing concentration chemotactic factor. It shown that in the hydrodynamic limit when number goes infinity converges solution nonconservative Patlak-Keller-Segel-type system. nonlinear mean-field defined and it proven movement descendants single cell individual this process.