Introduction:
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The complex dynamical nature of biological systems gives rise to many challenging questions in mathematical modelling and analysis. Transport processes are key mechanisms ensuring functioning, development and growth of cell tissues and organs. Important questions include direction of the movement, and underlying communication between individuals leading to self-organisation of populations. Transport processes take place at different scales, ranging from the movement of molecules in cells, the transport through cell tissues and organs, to the spatial organisation in ecological systems. The interconnections between the processes at different spatial and temporal scales often requires multiscale modelling and analysis. For the more complete understanding of biological systems (often populations of individuals) not only spatial distribution but also changes in state and structural properties are to be analysed. Physiologically structured population models are widely used to study qualitative questions in population dynamics, where structuring may be based on age, internal cell cycle, body mass, volume, etc. The presentations in the session will demonstrate how the derivation of new models inspire the simultaneous development of novel mathematical techniques. |
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