Aspects of Mathematical Modelling

Mathematics has long been associated with developments in the exact sciences and engineering, but more recently mathematical modelling has been used to investigate complex systems that arise in many other fields. Many chapters in this book discuss research where mathematics and the biosciences interact, and there are also chapters where mathematical modelling is applied elsewhere. The modern research topics discussed include ecology and environmental science, theoretical chemistry, medicine, phylogenetics and neural networks, economics and management. The application of mathematical modelling and simulation is demonstrated in an extensive array. The global reach of modern mathematical activity is more evident than usual too, with a geographical spread of contributions spanning four continents. There are some invited reviews outlining current research directions in topics such as pattern formation in the first chapter and in applications to medicine. There are also more targeted research papers on related topics, and in the various other disciplines represented. Another important feature is the extensive relevant literature cited, particularly in the reviews and more expository articles.