COURSE OBJECTIVES:
The main objective of the course is to introduce to students the several growth models of tumours based on differential equations and to give a better mathematical explanation and understanding of the proposed models.
COURSE CONTENT:
1. Cancer - types, impact on society, mathematics and tumours
2. Biological study of models - types of growing, proliferation and quiescence, cytotoxic and cytostatic drugs, angiogenesis, invasion and metabolism
3. Mathematical study of models - growth models: deterministic and stochastic, diffusion models
4. Mathematical modelling of tumour growth
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A survey of models for tumor-immune system dynamics, J.A. Adam and N. Belomo, eds., Birkhauser, 1997.
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Mathematical biology: I. An introduction, 3rd ed., Murray, J.D., Springer, 2002.
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Mathematical biology: II: Spatial Models andBiomedical Applications, 3rd ed., Murray, J.D., Springer, 2003.
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