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BIOMENG 321 : Continuum Modelling in Bioengineering
Engineering
2020 Semester One (1203) (15 POINTS)
Course Prescription
Course Overview
- apply index notation to express vectors and tensors.
- operate on vectors and tensors using index notation.
- prove tensor identities.
- compare and contrast spatial versus material coordinates.
- analyse large deformation kinematics with respect to material coordinates.
- define stress tensors with respect to spatial and material coordinates.
- understand the stress equilibrium equations that govern soft tissue mechanics.
- describe the theoretical framework for constitutive relations for non-linear elasticity.
- derive isotropic constitutive equations.
- describe heart muscle microstructure and mechanical properties.
- formulate and analyse anisotropic constitutive models.
- describe striated muscle structure and function.
- understand and analyse Hill models of muscle contraction.
- understand and analyse molecular (Huxley 1957) models of muscle contraction.
- understand and analyse fading memory models (FMM) of muscle contraction.
- formulate suitable control volumes for analysing fluid systems, and calculate volume, mass and momentum fluxes across control surfaces.
- apply integral conservation relations to determine quantities of interest such as velocity, mass flow rate and pressure.
- simplify the integral conservation equations and justify the assumptions used.
- understand, describe and calculate the deformation and rotation of fluid elements in a given flow field.
- state, interpret, and solve the equations governing momentum, heat and mass transfer in fluids.
- model and analyse a physical system using the equations of momentum, mass and heat transfer by selecting appropriate constitutive models and boundary conditions.
- interpret the solutions of the mathematical models in physical terms.
Capabilities Developed in this Course
| Capability 1: | Disciplinary Knowledge and Practice |
| Capability 2: | Critical Thinking |
| Capability 3: | Solution Seeking |
| Capability 4: | Communication and Engagement |
Learning Outcomes
- Use and apply index notation to express and operate on vectors and tensors and prove tensor identities (Capability 1.1)
- Compare and contrast spatial and material coordinate systems. (Capability 1.1, 2.1 and 2.2)
- Analyse large deformation kinematics with respect to material coordinates. (Capability 1.1, 2.1, 2.2, 3.1, 3.2, 4.1 and 4.2)
- Define stress tensors with respect to spatial and material coordinates. (Capability 1.1, 2.1, 2.2, 3.1 and 3.2)
- Derive and analyse constitutive equations for isotropic and anisotropic tissues. #6 Understand and analyse mathematical models of muscle contractions (Capability 2.1, 2.2, 3.1, 3.2, 4.1 and 4.2)
- Understand and analyse mathematical models of muscle contractions. (Capability 1.1, 2.1, 2.2, 3.1, 3.2, 4.1 and 4.2)
- Derive, analyse and solve the laws of mass and momentum conservation for a fluid with appropriate simplifications. (Capability 1.1, 2.1 and 3.1)
- Derive, explain and apply mathematical expressions for the rotation, deformation and material derivative of a fluid element. (Capability 1.1)
- Select and apply appropriate constitutive models to analyse the flow of blood in large and small vessels. (Capability 1.1, 2.1, 2.2, 3.1, 3.2, 4.1 and 4.2)
- Derive, analyse and solve the equations of heat and mass transfer in a flowing medium. (Capability 1.1, 2.1, 2.2, 3.1, 3.2, 4.1 and 4.2)
Assessments
| Assessment Type | Percentage | Classification |
|---|---|---|
| Assignments | 20% | Individual Coursework |
| Tests | 10% | Individual Test |
| Laboratories | 10% | Individual Coursework |
| Final Exam | 60% | Individual Examination |
| 4 types | 100% |
| Assessment Type | Learning Outcome Addressed | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |
| Assignments | ||||||||||
| Tests | ||||||||||
| Laboratories | ||||||||||
| Final Exam | ||||||||||
There are two assignments worth 10% each (one for each module) and two tests worth 5% each (one for each module).
There is no plussage for this course.
Workload Expectations
This course is a standard 15 point course and students are expected to spend 10 hours per week involved in each 15 point course that they are enrolled in.
For this course, you can expect 3 hours of lectures, a 1 hour tutorial, 3 hours of reading and thinking about the content and 3 hours of work on assignments, laboratories and/or test preparation.
Digital Resources
Course materials are made available in a learning and collaboration tool called Canvas which also includes reading lists and lecture recordings (where available).
Please remember that the recording of any class on a personal device requires the permission of the instructor.
Academic Integrity
The University of Auckland will not tolerate cheating, or assisting others to cheat, and views cheating in coursework as a serious academic offence. The work that a student submits for grading must be the student's own work, reflecting their learning. Where work from other sources is used, it must be properly acknowledged and referenced. This requirement also applies to sources on the internet. A student's assessed work may be reviewed against online source material using computerised detection mechanisms.
Learning Continuity
In the event of an unexpected disruption we undertake to maintain the continuity and standard of teaching and learning in all your courses throughout the year. If there are unexpected disruptions the University has contingency plans to ensure that access to your course continues and your assessment is fair, and not compromised. Some adjustments may need to be made in emergencies. You will be kept fully informed by your course co-ordinator, and if disruption occurs you should refer to the University Website for information about how to proceed.
Class Representatives
Class representatives are students tasked with representing student issues to departments, faculties, and the wider university. If you have a complaint about this course, please contact your class rep who will know how to raise it in the right channels. See your departmental noticeboard for contact details for your class reps.
Inclusive Learning
All students are asked to discuss any impairment related requirements privately, face to face and/or in written form with the course coordinator, lecturer or tutor.
Student Disability Services also provides support for students with a wide range of impairments, both visible and invisible, to succeed and excel at the University. For more information and contact details, please visit the Student Disability Services’ website at http://disability.auckland.ac.nz
Special Circumstances
If your ability to complete assessed coursework is affected by illness or other personal circumstances outside of your control, contact a member of teaching staff as soon as possible before the assessment is due.
If your personal circumstances significantly affect your performance, or preparation, for an exam or eligible written test, refer to the University’s aegrotat or compassionate consideration page: https://www.auckland.ac.nz/en/students/academic-information/exams-and-final-results/during-exams/aegrotat-and-compassionate-consideration.html.
This should be done as soon as possible and no later than seven days after the affected test or exam date.
Student Feedback
At the end of every semester students will be invited to give feedback on the course and teaching through a tool called SET or Qualtrics. The lecturers and course co-ordinators will consider all feedback and respond with summaries and actions.
Your feedback helps teachers to improve the course and its delivery for future students.
Class Representatives in each class can take feedback to the department and faculty staff-student consultative committees.
Student Charter and Responsibilities
The Student Charter assumes and acknowledges that students are active participants in the learning process and that they have responsibilities to the institution and the international community of scholars. The University expects that students will act at all times in a way that demonstrates respect for the rights of other students and staff so that the learning environment is both safe and productive. For further information visit Student Charter (https://www.auckland.ac.nz/en/students/forms-policies-and-guidelines/student-policies-and-guidelines/student-charter.html).
Disclaimer
Elements of this outline may be subject to change. The latest information about the course will be available for enrolled students in Canvas.
In this course you may be asked to submit your coursework assessments digitally. The University reserves the right to conduct scheduled tests and examinations for this course online or through the use of computers or other electronic devices. Where tests or examinations are conducted online remote invigilation arrangements may be used. The final decision on the completion mode for a test or examination, and remote invigilation arrangements where applicable, will be advised to students at least 10 days prior to the scheduled date of the assessment, or in the case of an examination when the examination timetable is published.