Course: Mathematical modelling and computation in biomedical engineering

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Course title Mathematical modelling and computation in biomedical engineering
Course code KTT/SMB
Organizational form of instruction Lecture + Lesson
Level of course Master
Year of study not specified
Semester Summer
Number of ECTS credits 3
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction Face-to-face
Work placements Course does not contain work placement
Recommended optional programme components None
Lecturer(s)
  • Čapek Lukáš, doc. Ing. Ph.D.
Course content
Lecture: 1. Introduction. Task solved in biomedical engineering and biomechanics. 2. Mechanics. Hook´s law, anisotropy, non-linearity. 3. Principle and treatment of CT, MRI images. 4. Anatomical background. 5. Classification of tissues from the mechanical point of view. 6. Identification of mechanical properties of living tissues. In vivo, ex vivo approach. 7. Bone tissue, cartilage from the biomechanical point of view. 8. Biomechanics of muscles. Hill´s model. EMG correlation. 9. Spine biomechanics. 10. Cardio-vascular biomechanics. 11. Blood biomechanics, CFD approach. 12. Biomechanics of human skin, burns, scars formation. 13. Human body in interaction with vibration. Sports biomechanics. 14. Forensic biomechanics. Practices: 1. Linear algebra, numerical methods; 2. The balance and movement of the human body; 3. Application elasticity and strength in biology; 4. Modeling of fatigue breaks; 5. Data processing, approximation and regression functions; 6. Segmentation of CT / MR data; 7. Creating 3D models using laser (optical) scanners; 8. Treatment of the 3D data; 9. - 12. Modeling using FEM 13. Creating a multi-body models (MTB); 14. Reverse MTB task.

Learning activities and teaching methods
Monological explanation (lecture, presentation,briefing), Dialogue metods(conversation,discussion,brainstorming), Self-study (text study, reading, problematic tasks, practical tasks, experiments, research, written assignments), Task-based study method
  • Class attendance - 56 hours per semester
  • Home preparation for classes - 28 hours per semester
Learning outcomes
The aim of the subject is to strengthen the knowledge in biomedical engineering towards mathematical modelling, namely computational biomechanics.
The student will gain the know-how from the computational biomechanics, from analytical approach to numerical one.
Prerequisites
Subject Mathematical modelling and computation in biomedical engineering extends the knowledge which students acquir during the Bachelor study program Biomedical Technology.

Assessment methods and criteria
Combined examination, Student's performance analysis

Exam: combined
Recommended literature
  • An Y., Draughn R. Mechanical Testing of Bone and the Bone-Implant Interface, CRC press 2000.
  • Ellingsen J., Lyngstadaas S. Bio-Implant Interface, CRC press 2003.
  • Kučera M., Dylevský I. a kol. Pohybový systém a zátěž, Grada 2000.
  • Kwon Y., Bang H. The Finite Element Method, CRC press 2000.
  • Valenta J.; Konvičková S. Biomechanika člověka 1. - svalově kosterní systém. Praha, Vydavatelství ČVUT, 1997.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Health Studies Study plan (Version): Biomedical Engineering (14) Category: Special and interdisciplinary fields - Recommended year of study:-, Recommended semester: Summer