Course detail

Mechanics of Biological Tissues

FSI-9MBTAcad. year: 2022/2023

The course deals with constitutive relations of soft biological tissues, i.e. tissues showing large strains. These tissues are non-homogeneous, mostly with fibrous structure. Their structure with various types of fibres and their complex arrangement in the tissue cause their pronounced anisotropic properties with non-linear constitutive relations. A significant hysteresis is also typical for soft tissues; it can be described by linear or non-linear viscoelastic constitutive models, together with creep and stress relaxation. Soft tissues show a lot of other specific properties that cannot be found at technical materials at all (growth, necrosis, change of material properties in response to their load, remodelation, etc.).

Language of instruction

Czech

Mode of study

Not applicable.

Learning outcomes of the course unit

Students get a comprehensive overview of knowledge in the following problem regions, incl. skills in their computational modelling using program system Ansys or Abaqus:
• Theory of anisotropic linear elastic materials
• Theory of hyperelastic isotropic materials
• Theory of linear viscoelasticity (isotropic)
• Mechanical properties of structural components of soft tissues
• Structure and topology of soft tissues
• Theory of non-linear viscoelasticity (isotropic)
• Possibilities of computational modelling of hyperelastic non-isotropic materials
• Possibilities of computational modelling of specific properties of biological tissues

Prerequisites

Basic knowledge of medical anatomical terminology concerning cardio-vascular system, knowledge of basic analytical and numerical methods used in stress-strain analysis.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

The course is taught through individual consultations and self-study of the specified literature sources explaining the basic principles and theory of the discipline.

Assesment methods and criteria linked to learning outcomes

Exam consists of oral or written test of theoretical knowledge and of evaluation of the final project, based on computational modelling.

Course curriculum

Not applicable.

Work placements

Not applicable.

Aims

The aim of the course is to provide knowledge about behaviour and mechanical properties of soft biological tissues and to manage the terminology and basic skills necessary for interdisciplinar collaboration in this field.

Specification of controlled education, way of implementation and compensation for absences

Studies are individual with a successive definition of items in the recommended literature.
The individual items are controled during consultations in intervals corresponding to the difficulty of the items.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

G.A.Holzapfel: Nonlinear Solid Mechanics. Wiley
J.D.Humphrey: Cardiovascular Solid Mechanics. Springer
Y.C.Fung: Biomechanics; Mechanical Properties of Living Tissues. Springer

Recommended reading

J.Valenta a kol.: Biomechanika srdečně cévního systému. ČVUT Praha
Křen J., Rosenberg J., Janíček P.: Biomechanika. Vydavatelství ZČU, 1997. (CS)

Classification of course in study plans

  • Programme D-IME-K Doctoral 1 year of study, summer semester, recommended course
  • Programme D-IME-P Doctoral 1 year of study, summer semester, recommended course

Type of course unit

 

Lecture

20 hod., optionally

Teacher / Lecturer

Syllabus

1. Fundamentals of anatomy and physiology of cardiovascular system
2. Fundamentals of histology and pathology of soft tissues – structure, composition, pathological changes
3. Mechanical properties of structure components of tissues
4. Theory of anisotropic linear elastic materials
5. Theory of hyperelastic isotropic materials and their description.
6. Theory of hyperelastic anisotropic materials and their description.
7. Theory of linear and non-linear (isotropic) viscoelasticity.
8. Structure and topology of soft tissues
9. Possibilities of computational modelling of mechanical properties of biological materials.
10. Possibilities of computational modelling of specific properties of biological tissues (e.g. contractility).