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Program of the Miniworkshop on Recent Trends in Applications of Mathematics to Biology and Medicine I organized in the framework of the 6th Programme MRTN-CT-2004-503661: Modeling, Mathematical Methods and Computer Simulation of Tumour Growth and Therapy the 8th of December 2004, Faculty of Mathematics, Informatics and Mechanics, room 3130 14:30-15:00 Cristian Morales Rodrigo Some eliptic equations with nonlinear boundary conditions. 15:15-16:45 Mark Chaplain Mathematical modelling of cell cytoskeleton biomechanics and cell membrane deformations. 17:00-18:00 Anna Marciniak-Czochra Derivation of macroscopic receptor-based model using homogenization techniques.