Nigel Clay: Ensuring Blood is Available When it is Needed Most

Nigel Clay: Ensuring Blood is Available When it is Needed Most

Dear Optimisation group members,

Please note the following Biomodelling talk tomorrow (Friday 22 September) that may be of your interest.

Speaker: Nigel Clay
School of Science, RMIT University

Title: Ensuring Blood is Available When it is Needed Most

Date and time: Friday 22 September 2017, 3:00–4:00pm
Location: Building 8 Level 9 Room 66 (AGR) RMIT City campus

Abstract: A robust supply Red Blood Cells (RBCs) is needed to meet patient demand for transfusion. The quantity of blood transfused is doubly stochastic as both the number of patients needing transfusion and the quantity of blood a patient needs are random. We define a shortage as the situation where RBCs are needed for transfusion but none are available. Shortages may arise because unused RBCs perish, and/or because the supply of RBCs is not sufficient to cover demand. For hospitals, the supply of fresh RBCs comes from the Blood Bank. However, the Blood Bank has to rely on donations which are also stochastic. Further, once a donor has given whole blood they are ineligible to do so again for 84 days. Therefore, to ensure a robust supply of RBCs is available is important to ensure that a sufficient quantity of donors are available to give blood. Read more

Musa Mammadov: Mathematical modelling and controlling the dynamics of infectious diseases

Musa Mammadov: Mathematical modelling and controlling the dynamics of infectious diseases

Speaker: Dr Musa Mammadov
Faculty of Science and Technology, Federation University Australia

Title: Mathematical modelling and controlling the dynamics of infectious diseases

Date and time: Friday 25 August 2017, 3:00–4:00pm
Location: Building 8 Level 9 Room 66 (AGR) RMIT City campus

Abstract: Mathematical modeling has played an important role in predicting, assessing and controlling potential outbreaks. In this talk, we will briefly discuss the main approaches used for the modeling of infectious diseases with the major focus on dynamical systems. Read more

Random matrices and the stability of complex biological networks

Random matrices and the stability of complex biological networks

Speaker: Prof. Lewi Stone
Mathematical Sciences
RMIT University

Title: Random matrices and the stability of complex biological networks

Date and time: Friday 23 June 2017, 3:00–4:00pm
Location: Building 8 Level 9 Room 66 (AGR) RMIT City campus

Abstract: Network models have become indispensable tools for exploring the profound complexity of the living world. Intuitively, rich highly interconnected biological networks are expected to be the most stable, and are thus likely to better withstand the loss of a link, or to cope in the presence of external environmental perturbations. In the 70’s, Robert May exploited random matrix theory, and the famous “circular law” for matrix eigenvalue distributions (as used in atomic physics), to challenge this paradigm. He demonstrated convincingly that more complex and connected biological systems are in fact more fragile and less likely to be stable, in terms of their ability to recover after some small external perturbation. Since then, the random matrix framework has proved extremely useful for identifying those factors that beget stability in large biological communities of randomly interacting species. Moreover, in recent years, the random matrix approach has successfully spread to other disciplines, ranging from systems biology, neurosciences, HIV vaccine development, through to wireless, finance and banking, making this an exciting and vibrant contemporary research discipline. Here I outline how random matrices can be useful for dealing with these sorts of questions, and discuss some new results.
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