Functional safety standards such as IE 61508 invite the use of Markov modeling to help model safety, maintainability and reliability. A brief primer on what Markov is and how and when to apply it.

Researchers have developed a three-dimensional mathematical model of prostate cancer. The model depicts various processes, including tumour growth, genetic evolution and tumour cell competition.

New research has, for the first time, tracked ice shelf, sea ice and ocean swell wave conditions over multiple years in the ...

Eleven essays The collection begins with a demonstration of the role of mathematical oncology in personalizing medicine, via patient-specific modelling, analysis of patient-specific clinical data and ...

New research from the University of Waterloo suggests increasing the ratio of dietary potassium to sodium intake may be more effective for lowering blood pressure than simply reducing sodium intake.

See Differential Geometry for more details. PDEs arising in mathematical modelling: Kinetic and parabolic equations The theoretical analysis of PDE-models is central also in mathematical modelling.

Both deterministic and stochastic models are covered. These include mathematical optimisation, the application of sophisticated mathematical methods to make optimal decisions, and simulation, the ...

My recent research concerns mathematical modelling and analysis of swarming and self-collective behaviour. The topic has received a great amount of interest in recent years due to applications of such ...