Tumour Growth Models

Teachers: dr. Miljenko Huzak, professor, dr. Inga Urlić, associate professor
Semester: third
ECTS: 3
Elective course

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.

Upon completion of this course, students are going to be able to:

  1. Demonstrate a knowledge of the foundational concepts of cancer biology.
  2. Understand the processes of tumour growth and factors that affect the tumour growth.
  3. Demonstrate a knowledge of basics of mathematical modelling of tumour growth.
  4. Communicate correctly using scientific terminology in regard to cancer biology.
  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.
  • 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.

  • Expected learning outcomes

    Upon completion of this course, students are going to be able to:

    1. Demonstrate a knowledge of the foundational concepts of cancer biology.
    2. Understand the processes of tumour growth and factors that affect the tumour growth.
    3. Demonstrate a knowledge of basics of mathematical modelling of tumour growth.
    4. Communicate correctly using scientific terminology in regard to cancer biology.
  • 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.
PMF
EU fondovi
UNI-ZG