To date, the brain remains the most intriguing and unexplored organ in humans. Understanding its mechanical behavior is crucial for the study of brain diseases involving brain deformation in traumatic brain injury. Despite this mechanical relevance and an increasing number of models of the brain, many mechanical aspects, theoretically and computationally, remains elusive in the mechanical behaviour of the human brain. In this work we propose to use numerical methods (such as FEM or SPH) to model the dynamic response of mammalian brains under different dynamic loads.