The project may focus on contributing to development of efficient numerical methods for simulation of seawater intrusion into aquifers using both steady state and transient analysis. The development of an embryo from a single cell is an amazing process. One of the current theories of pattern formation in embryos is based on the chemical pattern model first suggested by Turing. This model has been used to predict animal coat markings such as those seen on a zebra, for example. This project will study models of pattern formations in growing embryos especially those relating to the patterns seen, for example, in angelfish.
Many cells perform active migration.
Leucocytes, for example, defend the body against diseases. Many cells can exhibit migratory behaviour. This project will examine recently developed mathematical models of the phenomena occurring in a migrating cell. These contaminants may be harmless and just effect the taste or smell of the foodstuff. On the other hand, they may be potentially dangerous as would be the case if vinyl chloride monomer or heavy metals migrated into the food in sufficient quantities.