BIOMENG 321

Continuum Modelling in Bioengineering

Summary


Semester

Semester 1, 2020

Staff

Contents


Calendar notes

An introduction to continuum modelling approaches to bioengineering problems across a range of spatial scales. Topics include: tensor analysis, molecular and cellular mechanics of striated muscle; finite deformation elasticity and constitutive relations for soft biological materials; conservation equations for momentum, mass and heat transfer in fluids; viscous flow; boundary layers; pure conduction and diffusion; advective transport of mass and heat.
Prerequisite: BIOMENG 221, ENGSCI 211 Restriction: ENGSCI 343

Outcome mapping


Intended learning outcomes
Related graduate attributes
Related assessments

Biological Tissue Mechanics: * Be able to compare and contrast spatial versus material coordinates. * Be able to analyse large deformation kinematics with respect to material coordinates. * Be able to define stress tensors with respect to spatial and material coordinates. * Be able to understand the stress equilibrium equations that govern soft tissue mechanics. * Be able to describe the theoretical framework for constitutive relations for non-linear elasticity. * Be able to derive isotropic constitutive equations. * Be able to describe heart muscle microstructure and mechanical properties. * Be able to formulate and analyse anisotropic constitutive models. * Be able to describe striated muscle structure and function. * Be able to understand and analyse Hill models of muscle contraction. * Be able to understand and analyse molecular (Huxley 1957) models of muscle contraction. * Be able to understand and analyse fading memory models (FMM) of muscle contraction.

ENGA01: engineering knowledge (5)
ENGA02: problem analysis (5)
ENGA03: design and solution development (1)
ENGA04: investigation (3)
ENGA05: modern tool usage (4)
ENGA09: individual and team work (1)
ENGA10: communication (2)
ENGK01: theory of natural sciences (5)
ENGK02: mathematical modelling (4)
ENGK03: abstraction and formulation (5)
ENGK04: specialist knowledge (4)
ENGK08: research literature (2)
ENGP01: depth of knowledge required (4)
ENGP03: depth of analysis required (4)
ENGP07: interdependence (3)
UOA_1: Disciplinary Knowledge and Practice (5)
UOA_2: Critical Thinking (4)
UOA_3: Solution Seeking (3)
UOA_4: Communication and Engagement (1)
Tissue Mechanics Assignment
Tissue Mechanics Test

Tensor Analysis: * Be able to express vectors and tensors using index notation. * Be able to operate on tensors using index notation. * Be able to prove tensor identities.

ENGA01: engineering knowledge (5)
ENGK02: mathematical modelling (4)
ENGK03: abstraction and formulation (5)
ENGK04: specialist knowledge (4)
ENGP01: depth of knowledge required (4)
ENGP03: depth of analysis required (4)
UOA_1: Disciplinary Knowledge and Practice (5)
UOA_2: Critical Thinking (4)
Tissue Mechanics Assignment
Tissue Mechanics Test

Biofluid Mechanics and Heat/Mass Transfer: * Formulate and sketch control volumes and solve for mass and momentum flux across control surfaces * State and explain equations for the conservation of mass, momentum and energy * Explain and calculate the deformation and rotation of a fluid element * Explain the difference between fixed and moving coordinate systems and calculate the material derivative * State and apply constitutive equations for Newtonian and non-Newtonian fluids * Simplify and solve the Navier-Stokes equations * Choose length, time and velocity scales for a given physical system and formulate dimensionless forms of the governing equations * Explain why a boundary layer forms using dimensional analysis and phsyical argumentation * Calculate mass and molar average concentrations * Analyse and solve the diffusion equation for steady and unsteady problems * State Fourier's law and apply it to heat conduction problems * Analyse and solve the heat equation for steady and unsteady problems

ENGA01: engineering knowledge (5)
ENGA02: problem analysis (5)
ENGA03: design and solution development (1)
ENGA04: investigation (3)
ENGA05: modern tool usage (4)
ENGA10: communication (2)
ENGK01: theory of natural sciences (5)
ENGK02: mathematical modelling (4)
ENGK03: abstraction and formulation (5)
ENGK04: specialist knowledge (4)
ENGK06: engineering practice (1)
ENGP01: depth of knowledge required (4)
ENGP03: depth of analysis required (4)
ENGP07: interdependence (3)
UOA_1: Disciplinary Knowledge and Practice (5)
UOA_2: Critical Thinking (4)
UOA_3: Solution Seeking (3)
UOA_4: Communication and Engagement (1)
Biofluid Mechanics Assignment
Biofluid Mechanics Test

Biological Tissue Mechanics: Being able to compare and contrast spatial versus material coordinates. Being able to analyse large deformation kinematics with respect to material coordinates. Being able to define stress tensors with respect to spatial and material coordinates. Being able to understand the stress equilibrium equations that govern soft tissue mechanics. Being able to describe the theoretical framework for constitutive relations for non-linear elasticity. Being able to derive isotropic constitutive equations. Being able to describe heart muscle microstructure and mechanical properties. Being able to formulate and analyse anisotropic constitutive models. Being able to describe striated muscle structure and function. Being able to understand and analyse Hill models of muscle contraction. Being able to understand and analyse molecular (Huxley 1957) models of muscle contraction. Being able to understand and analyse fading memory models (FMM) of muscle contraction.

ENGA01: engineering knowledge (5)
ENGA02: problem analysis (5)
ENGA03: design and solution development (1)
ENGA04: investigation (3)
ENGA05: modern tool usage (4)
ENGA09: individual and team work (1)
ENGA10: communication (2)
ENGK01: theory of natural sciences (5)
ENGK02: mathematical modelling (4)
ENGK03: abstraction and formulation (5)
ENGK04: specialist knowledge (4)
ENGK08: research literature (2)
ENGP01: depth of knowledge required (4)
ENGP03: depth of analysis required (4)
ENGP07: interdependence (3)
UOA_1: Disciplinary Knowledge and Practice (5)
UOA_2: Critical Thinking (4)
UOA_3: Solution Seeking (3)
UOA_4: Communication and Engagement (1)

No related assessments

Tensor Analysis: Being able to express vectors and tensors using index notation. Being able to operate on tensors using index notation. Being able to prove tensor identities.

ENGA01: engineering knowledge (5)
ENGK02: mathematical modelling (4)
ENGK03: abstraction and formulation (5)
ENGK04: specialist knowledge (4)
ENGP01: depth of knowledge required (4)
ENGP03: depth of analysis required (4)
UOA_1: Disciplinary Knowledge and Practice (5)
UOA_2: Critical Thinking (4)

No related assessments

Biofluid Mechanics and Heat/Mass Transfer: formulate/state/choose appropriate conditions for a given physical system, explain why a boundary layer forms, calculate mass and molar average concentrations, state and explain equations for the conservation of mass, momentum and energy, state and apply constitutive equations for Newtonian and non-Newtonian fluids, formulate and sketch control volumes and solve for mass and momentum flux across control surfaces, analyse and solve the diffusion equation for steady and unsteady problems, choose length, time and velocity scales and by being able to formulate dimensionless forms of the governing equations, state Fourier's law and apply it to heat conduction problems, analyse and solve the heat equation for steady and unsteady problems, model physical systems using the heat equation, calculate the curl of a vector field, explain and calculate the deformation and rotation of a fluid element, explain the difference between fixed and moving coordinate systems and calculate the material derivative, simplify and solve the Navier-Stokes equations, explain the difference in flow behaviour between Newtonian and non-newtonian fluids, determine the parameters of constitutive models.

ENGA01: engineering knowledge (5)
ENGA02: problem analysis (5)
ENGA03: design and solution development (1)
ENGA04: investigation (3)
ENGA05: modern tool usage (4)
ENGA10: communication (2)
ENGK01: theory of natural sciences (5)
ENGK02: mathematical modelling (4)
ENGK03: abstraction and formulation (5)
ENGK04: specialist knowledge (4)
ENGK06: engineering practice (1)
ENGP01: depth of knowledge required (4)
ENGP03: depth of analysis required (4)
ENGP07: interdependence (3)
UOA_1: Disciplinary Knowledge and Practice (5)
UOA_2: Critical Thinking (4)
UOA_3: Solution Seeking (3)
UOA_4: Communication and Engagement (1)

No related assessments

Biological Tissue Mechanics: * Be able to compare and contrast spatial versus material coordinates. * Be able to analyse large deformation kinematics with respect to material coordinates. * Be able to define stress tensors with respect to spatial and material coordinates. * Be able to understand the stress equilibrium equations that govern soft tissue mechanics. * Be able to describe the theoretical framework for constitutive relations for non-linear elasticity. * Be able to derive isotropic constitutive equations. * Be able to describe heart muscle microstructure and mechanical properties. * Be able to formulate and analyse anisotropic constitutive models. * Be able to describe striated muscle structure and function. * Be able to understand and analyse Hill models of muscle contraction. * Be able to understand and analyse molecular (Huxley 1957) models of muscle contraction. * Be able to understand and analyse fading memory models (FMM) of muscle contraction.

ENGA01: engineering knowledge (5)
ENGA02: problem analysis (5)
ENGA03: design and solution development (1)
ENGA04: investigation (3)
ENGA05: modern tool usage (4)
ENGA09: individual and team work (1)
ENGA10: communication (2)
ENGK01: theory of natural sciences (5)
ENGK02: mathematical modelling (4)
ENGK03: abstraction and formulation (5)
ENGK04: specialist knowledge (4)
ENGK08: research literature (2)
ENGP01: depth of knowledge required (4)
ENGP03: depth of analysis required (4)
ENGP07: interdependence (3)
UOA_1: Disciplinary Knowledge and Practice (5)
UOA_2: Critical Thinking (4)
UOA_3: Solution Seeking (3)
UOA_4: Communication and Engagement (1)

No related assessments

Tensor Analysis: * Be able to express vectors and tensors using index notation. * Be able to operate on tensors using index notation. * Be able to prove tensor identities.

ENGA01: engineering knowledge (5)
ENGK02: mathematical modelling (4)
ENGK03: abstraction and formulation (5)
ENGK04: specialist knowledge (4)
ENGP01: depth of knowledge required (4)
ENGP03: depth of analysis required (4)
UOA_1: Disciplinary Knowledge and Practice (5)
UOA_2: Critical Thinking (4)

No related assessments

Biofluid Mechanics and Heat/Mass Transfer: * Formulate and sketch control volumes and solve for mass and momentum flux across control surfaces * State and explain equations for the conservation of mass, momentum and energy * Explain and calculate the deformation and rotation of a fluid element * Explain the difference between fixed and moving coordinate systems and calculate the material derivative * State and apply constitutive equations for Newtonian and non-Newtonian fluids * Simplify and solve the Navier-Stokes equations * Choose length, time and velocity scales for a given physical system and formulate dimensionless forms of the governing equations * Explain why a boundary layer forms using dimensional analysis and phsyical argumentation * Calculate mass and molar average concentrations * Analyse and solve the diffusion equation for steady and unsteady problems * State Fourier's law and apply it to heat conduction problems * Analyse and solve the heat equation for steady and unsteady problems

ENGA01: engineering knowledge (5)
ENGA02: problem analysis (5)
ENGA03: design and solution development (1)
ENGA04: investigation (3)
ENGA05: modern tool usage (4)
ENGA10: communication (2)
ENGK01: theory of natural sciences (5)
ENGK02: mathematical modelling (4)
ENGK03: abstraction and formulation (5)
ENGK04: specialist knowledge (4)
ENGK06: engineering practice (1)
ENGP01: depth of knowledge required (4)
ENGP03: depth of analysis required (4)
ENGP07: interdependence (3)
UOA_1: Disciplinary Knowledge and Practice (5)
UOA_2: Critical Thinking (4)
UOA_3: Solution Seeking (3)
UOA_4: Communication and Engagement (1)

No related assessments

Biological Tissue Mechanics: Being able to compare and contrast spatial versus material coordinates. Being able to analyse large deformation kinematics with respect to material coordinates. Being able to define stress tensors with respect to spatial and material coordinates. Being able to understand the stress equilibrium equations that govern soft tissue mechanics. Being able to describe the theoretical framework for constitutive relations for non-linear elasticity. Being able to derive isotropic constitutive equations. Being able to describe heart muscle microstructure and mechanical properties. Being able to formulate and analyse anisotropic constitutive models. Being able to describe striated muscle structure and function. Being able to understand and analyse Hill models of muscle contraction. Being able to understand and analyse molecular (Huxley 1957) models of muscle contraction. Being able to understand and analyse fading memory models (FMM) of muscle contraction.

ENGA01: engineering knowledge (5)
ENGA02: problem analysis (5)
ENGA03: design and solution development (1)
ENGA04: investigation (3)
ENGA05: modern tool usage (4)
ENGA09: individual and team work (1)
ENGA10: communication (2)
ENGK01: theory of natural sciences (5)
ENGK02: mathematical modelling (4)
ENGK03: abstraction and formulation (5)
ENGK04: specialist knowledge (4)
ENGK08: research literature (2)
ENGP01: depth of knowledge required (4)
ENGP03: depth of analysis required (4)
ENGP07: interdependence (3)
UOA_1: Disciplinary Knowledge and Practice (5)
UOA_2: Critical Thinking (4)
UOA_3: Solution Seeking (3)
UOA_4: Communication and Engagement (1)

No related assessments

Tensor Analysis: Being able to express vectors and tensors using index notation. Being able to operate on tensors using index notation. Being able to prove tensor identities.

ENGA01: engineering knowledge (5)
ENGK02: mathematical modelling (4)
ENGK03: abstraction and formulation (5)
ENGK04: specialist knowledge (4)
ENGP01: depth of knowledge required (4)
ENGP03: depth of analysis required (4)
UOA_1: Disciplinary Knowledge and Practice (5)
UOA_2: Critical Thinking (4)

No related assessments

Biofluid Mechanics and Heat/Mass Transfer: formulate/state/choose appropriate conditions for a given physical system, explain why a boundary layer forms, calculate mass and molar average concentrations, state and explain equations for the conservation of mass, momentum and energy, state and apply constitutive equations for Newtonian and non-Newtonian fluids, formulate and sketch control volumes and solve for mass and momentum flux across control surfaces, analyse and solve the diffusion equation for steady and unsteady problems, choose length, time and velocity scales and by being able to formulate dimensionless forms of the governing equations, state Fourier's law and apply it to heat conduction problems, analyse and solve the heat equation for steady and unsteady problems, model physical systems using the heat equation, calculate the curl of a vector field, explain and calculate the deformation and rotation of a fluid element, explain the difference between fixed and moving coordinate systems and calculate the material derivative, simplify and solve the Navier-Stokes equations, explain the difference in flow behaviour between Newtonian and non-newtonian fluids, determine the parameters of constitutive models.

ENGA01: engineering knowledge (5)
ENGA02: problem analysis (5)
ENGA03: design and solution development (1)
ENGA04: investigation (3)
ENGA05: modern tool usage (4)
ENGA10: communication (2)
ENGK01: theory of natural sciences (5)
ENGK02: mathematical modelling (4)
ENGK03: abstraction and formulation (5)
ENGK04: specialist knowledge (4)
ENGK06: engineering practice (1)
ENGP01: depth of knowledge required (4)
ENGP03: depth of analysis required (4)
ENGP07: interdependence (3)
UOA_1: Disciplinary Knowledge and Practice (5)
UOA_2: Critical Thinking (4)
UOA_3: Solution Seeking (3)
UOA_4: Communication and Engagement (1)

No related assessments

Assessment


Coursework

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Exam rules

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