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Main menu for Browse IS/STAG
Course info
KME / BMT
:
Course description
Department/Unit / Abbreviation
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KME
/
BMT
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Academic Year
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2023/2024
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Academic Year
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2023/2024
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Title
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Biomechanics and modeling of tissues
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Form of course completion
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Exam
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Form of course completion
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Exam
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Accredited / Credits
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Yes,
5
Cred.
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Type of completion
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Combined
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Type of completion
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Combined
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Time requirements
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Lecture
2
[Hours/Week]
Tutorial
2
[Hours/Week]
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Course credit prior to examination
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Yes
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Course credit prior to examination
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Yes
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Automatic acceptance of credit before examination
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Yes in the case of a previous evaluation 4 nebo nic.
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Included in study average
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YES
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Language of instruction
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-
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Occ/max
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|
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Automatic acceptance of credit before examination
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Yes in the case of a previous evaluation 4 nebo nic.
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Summer semester
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0 / -
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0 / -
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0 / -
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Included in study average
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YES
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Winter semester
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1 / -
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0 / -
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0 / -
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Repeated registration
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NO
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Repeated registration
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NO
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Timetable
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Yes
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Semester taught
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Winter semester
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Semester taught
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Winter semester
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Minimum (B + C) students
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10
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Optional course |
Yes
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Optional course
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Yes
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Language of instruction
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-
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Internship duration
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0
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No. of hours of on-premise lessons |
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Evaluation scale |
1|2|3|4 |
Periodicity |
každý rok
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Evaluation scale for credit before examination |
S|N |
Periodicita upřesnění |
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Fundamental theoretical course |
No
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Fundamental course |
Yes
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Fundamental theoretical course |
No
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Evaluation scale |
1|2|3|4 |
Evaluation scale for credit before examination |
S|N |
Substituted course
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None
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Preclusive courses
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N/A
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Prerequisite courses
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N/A
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Informally recommended courses
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N/A
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Courses depending on this Course
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KME/BILI, KME/MBB, KME/SZBMM
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Histogram of students' grades over the years:
Graphic PNG
,
XLS
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Course objectives:
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The cours is aimed at teaching the students modeling of biological tissues which are considered as heterogeneous deformable media with complex structure. Namely muscular and connective tissues as well as bone tissues will be described from the point of view of their constitution, essential funtions and ongoing processes. The main focus will be payed to explain mathematical models of phenomena related to the tissue functionality, like deformation, muscle contraction, electroosmosis and diffusion of other solutants, blood perfusion and microflow in porous deforming media, remodeling and tissue growth. Students will be trained in application of the homogenization techniques which allow for microstructure-oriented modeling.
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Requirements on student
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to work-out a quality seminary project,
active knowledge of the stuff delivered in the course lectures, ability to apply the theory in simple examples.
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Content
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1 Basic types of tissues, their constitution, functions, experimental tissue structure analysis
2 Large deformation, kinematics, stress-strain relations, hyperelastic models
3 Rheology of viscoelastic models, creep, relaxation, disspation
4 Introduction to poroelasticity, phenomenological theories, Darcy flow and Biot model
5 lectro-osmosis and diffusion in porous media, basic equations, double layer models
6 Reaction-diffusion processes in tissues, kinetic equations, some enzyme-controlled processes
7 Introduction to the physiology of muscular contraction, Hill and Huxley theories
8 Modeling muscles as 3D continua, application to smooth, skeletal and cardiac muscles
9 Cartillages, fundemantal processes, viscoelasticity, electro-osmosis, multiphase theories
10 Bone tissue structure, compact and trabecular bones, hierarchical arrangement of the bone porosities, poroelastic models, streem generated potetials and mechano-transduction
11 Tissue growth models, application to bones, dynamic load influence
12 Models of tissue perfusion, hierarchical models, application to some organe modeling, deformation influence
13 Methods of material parameters identification, optimization problems, indirect measurements
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Activities
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Fields of study
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Pro přednášky v tomto předmětu jsou studentům k dispozici podklady ve formě PDF prezentace jednotlivých přednášek a doplňujících textů k některým vybraným přednáškám.
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Guarantors and lecturers
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Literature
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Recommended:
Křen, Rosenberg. Biomechanika.
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Recommended:
Marsik. Biotermodynamika.
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Recommended:
Cowin. Bone biomechanics.
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Recommended:
Holzaplfel. Cardiovascular biomechanics.
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Recommended:
Keener, Sneyd. Mathematical physiology.
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Recommended:
Quarteroni. Model. Bio. Flows ?..
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On-line library catalogues
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Time requirements
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All forms of study
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Activities
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Time requirements for activity [h]
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Contact hours
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52
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Graduate study programme term essay (40-50)
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45
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Preparation for an examination (30-60)
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40
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Total
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137
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Prerequisites
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Knowledge - students are expected to possess the following knowledge before the course commences to finish it successfully: |
orientovat se v oblasti diferenciálních rovnic |
orientovat se v oblasti mechaniky kontinua a biomechaniky |
orientovat se v oblasti numerických metod a algoritmizace |
orientovat se v oblasti tenzorového, diferenciálního a integrálního počtu |
vyjmenovat základní anatomické celky lidského těla
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orientovat se v oblasti biomechaniky, popsat základní funkce orgánů. |
Skills - students are expected to possess the following skills before the course commences to finish it successfully: |
řešit základní typy diferenciálních rovnic analyticky i pomocí adekvátních numerických metod |
řešit problémy a úlohy v mechanice poddajných těles a tekutin |
využívat software pro statistické zpracování dat (experimentálních) a jejich grafické zpracování |
využívat některý programovací jazyk pro numerické řešení jednodušších úloh z oblasti diferenciálních rovnic a nelineárních algebraických rovnic |
Competences - students are expected to possess the following competences before the course commences to finish it successfully: |
N/A |
N/A |
N/A |
N/A |
N/A |
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Learning outcomes
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Knowledge - knowledge resulting from the course: |
vysvětlit popis velkých deformací tkání a formulace úloh pro počítačové simulace |
orientovat se přehledově v modelech svalové kontrakce, měkkých tkáních a kostí |
orientovat se přehledově v modelech využitelných pro popis vybraných základních typů tkání |
orientovat se v popisu tkáňového růstu a remodelace |
popsat elektro-difúzní procesy v tkáních a vysvětlit příslušné modely
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Skills - skills resulting from the course: |
využívat odborných znalostí pro řešení některých jednodušších úloh z oblasti modelování tkání |
orientovat se v odborné literatuře zaměřené na modelování tkání a experimentální studie |
charakterizovat mechanické vlastnosti tkání |
pro daný případ (problém) analyzovat nároky na komplexnost tkáňového modelu, vybrat jeho rozhodující vlastnosti a jevy, které by měl popisovat |
formulovat jednodušší úlohy pro simulace mechanicky zatížených tkání |
Competences - competences resulting from the course: |
N/A |
N/A |
N/A |
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Assessment methods
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Knowledge - knowledge achieved by taking this course are verified by the following means: |
Combined exam |
Individual presentation at a seminar |
Skills - skills achieved by taking this course are verified by the following means: |
Combined exam |
Seminar work |
Competences - competence achieved by taking this course are verified by the following means: |
Combined exam |
Seminar work |
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Teaching methods
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Knowledge - the following training methods are used to achieve the required knowledge: |
Interactive lecture |
Task-based study method |
Skills - the following training methods are used to achieve the required skills: |
Individual study |
Practicum |
Competences - the following training methods are used to achieve the required competences: |
Students' portfolio |
Seminar |
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