This paper provides some mathematical models associated with bioremediation processes. Bioremediation is a process in which contaminants in polluted soils are eliminated by bacteria. The initial model is the one given by Keller and Segel. The Keller- Segel model takes into account the movement of bacteria by diffusion and chemotaxis. Starting from this generalized model, we present different forms of diffusion and chemotactic coefficients. All particular cases presented were confirmed experimentally or numerically.
