|Abstract:|| The brain is an organ with high energy needs. While it represents only 2% of the body
weight it grabs at least 20% of its total energy needs. The consumed energy can come from many
forms such as glutamate, glucose, oxygen and also lactate. Moreover energy is necessary to support
neural activity. But because energy management in healthy and tumoral cells can be difficult to
observe and explain experimentally, we use mathematical modeling to help to describe and
understand cells energy changes. We present here a time-delayed system and two fast-slow systems
describing the local mechanisms of interest. We will also compare simulations with MRS and
litterature data and discuss our results.