Mathematical modeling of human physiological systems with biomedical applications
However, the appearance of new analytic, biometric, and numerical techniques and methods are contributing to making the above complications tractable. Each combined school/workshop event has its own primary mathematical and biomedical focus reflecting aspects of the modelling and clinical issues described above. These events are designed to introduce new researchers to important methods for developing, analysing, and applying mathematical models in several key clinical areas. Each school's associated workshop introduces the school participants to state-of-the-art research in the focus topics of the school, allowing school participants to utilize what they have learned. School courses and workshop presentations will be given by an interdisciplinary array of experts from academia, industry, and the clinical setting.
Besides the educational benefit, two other important benefits are sought:
(a) creating potential collaborative connections between new and established researchers;
(b) promoting a network of researchers in mathematical modelling for biomedical application.
Such a network can be generated by these new collaborative contacts as well as by other networking influences of this event series.
UNIVERSITY OF GRAZ
Franz KAPPEL (Prof.)
CONSIGLIO NAZIONALE DELLE RICERCHE - CNR
UNIVERSITY OF COPENHAGEN
UNIVERSITY OF DUNDEE
Grant agreement ID: 45961
1 January 2007
31 December 2010
UNIVERSITY OF GRAZ
Final Activity Report Summary - BIOMATHTECH 07-10 (Mathematical Modeling of Human Physiological Systems with Biomedical Applications)
The associated workshop was designed as if it could be a standalone scientific event in the same area of the school focus with presentations by current top researchers. The school participants attended the workshop which reinforced the ideas presented to the school participants while also providing a high level scientific meeting for students, workshop presenters, and teachers. The workshops also provided opportunities to establish collaborative relationships between students, workshop presenters, and school teachers. School participants were also encouraged to give contributions to the workshop.
Event 1. The first event focused on principles of modelling and applications of control theory to physiological systems with application to the cardiovascular and respiratory systems. Clinical applications included sleep apnoea, congestive heart failure, blood pressure control and the interaction of these and other conditions. Several school and workshop lectures focused on physiology and problems with experimental design. The role of time delay in feedback control was also examined theoretically and in terms of clinical manifestations of instabilities induced by delay.
Event 2. The second event extended the mathematical treatment of the first event to include stochastic effects and the application of stochastic differential equations in modelling physiological systems. Applications were given in neuronal firing and the insulin glucose control system. Clinical conditions included diabetes, diagnosis of diabetes, and the control of glucose levels through insulin treatment design.
Event 3. Having considered principles of modelling and model development using ordinary and stochastic differential equations, the third event made an in depth study of model validation with the focus on both parameter estimation and experimental design. This is a key issue in current work especially in regards to fitting models to individual patient's assessment of system function and diagnosis. Clinical assessment often involves limited data from minimally invasive tests on first screening and this represents special challenges to model design and validation, where the model must be rich enough to reflect dynamics of interest, but the parameter set simple enough to be robustly identified with limited data. Hence the clinical application reflects this issue with special examples drawn from the metabolic control system.
Event 4. Having examined the cardiovascular, respiratory, and metabolic control systems (in particular glucose control) and neuronal function, a key as intermediary in physiological control, the fourth event considered issues at the cellular level by focusing on cancer growth and treatment. In this treatment, both normal cellular activities and cancer mechanisms were studied and modelled. Mathematical modelling included ordinary and delay differential equations and the extension to partial differential equation models.
Deliverables not available
Publications not available