MATHEMATICAL MODELING IN BIOLOGY AND MEDICINE

In life and health sciences there is an urgent need for the advancement and the more widespread use of predictive and quantitative methods, which are essential for improving delivery of health care and quality of life, and for decreasing economical and ethical costs. Our research activity aims at developing mathematical models in biomedicine and epidemiology. Mathematical models provide theoretical insight into the underlying processes and improve the analysis and interpretation of experimental measurements and observations.


Research topics
CELL POPULATIONS

structured models for cell populations; models for cell populations with kinetic heterogeneity; methods for the analysis of flow cytometry data.


TUMOUR GROWTH AND TREATMENT

mathematical models of tumour cords and tumour spheroids including nutrient diffusion and cell metabolism; dynamics of tumour tissue and of necrotic regions following the treatment; models for chemotherapy and radiotherapy; angiogenesis and antiangiogenic therapy.


METABOLISM

mathematical models and identification for the glucose-insulin system; pharmacokinetics and metabolism of dicarboxylic acids; body composition and analysis of bioimpedance data; estimation techniques for highly nonlinear dynamical models.


EXPOSURE MODELS IN EPIDEMIOLOGY

mathematical modelling of exposure to environmental and occupational agents; estimation of dose for chemical and physical agents; health impact analysis.


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