Abstract: Prions are thought to be the causative agents for fatal
diseases as BSE ("mad cow disease") in cattle or the new variant
Creutzfeldt-Jakob disease in human. In this talk we study a pde-model
that describes the dynamics of prion proliferation. Under fairly general
assumptions we prove a global existence and uniqueness result for weak
solutions using weak compactness methods in $L_1$. Moreover, we also
mention results on the asymptotic stability of the disease free steady
state.