The mathematical models considered in this book can help to understand the swelling of
mitochondria. For the first time it presents new mathematical models of mitochondrial swelling
that take into account in particular spatial effects. The results presented here could make
it possible to predict properties of the underlying biological mechanisms. Taking into account
that mitochondria could move within a cell lead to a PDE-PDE model. The book discusses the
well-posedness and long-term dynamics of solutions depending on boundary conditions reflecting
the in vitro and in vivo cases. These analytical and numerical results have inspired colleagues
from the Institute of Pharmacology and Toxicology of the Helmholtz Center Munich to design new
experiments justifying the theoretical and numerical results that are obtained. The book is
intended for graduates students and researchers with a solid mathematical background and an
interest in cell biology.
