In this thesis we present a simple model of a vesicle confined in a cylindrical cavity. The model is based on vesicles assembled from simple geometrical shapes for which analytical expressions for surface, area difference of monolayers and bending energy are easily calculated. Shapes used in the presented model are inspired by electron micrographs and electron tomograms of mitochondria. For each shape we calculate the local and non-local bending energy, and we also include the intermembrane interaction, which is proportional to intermembrane contact area. We present the phase diagrams and connect them with the transition between the orthodox and the condensed state in mitochondria.
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