Universitat Internacional de Catalunya
Modeling and Simulation Techniques
Other languages of instruction: Catalan, Spanish,
Teaching staff
Please send an email to make an appointment.
Introduction
Prof. Behnam Mobaraki bmobaraki@uic.es
This course introduces fundamental principles of differential equations and the Finite Element Method (FEM). It also explores multiple practical scenarios within the realms of structural mechanics, heat transfer, fluid dynamics, and electrical circuits, demonstrating their applications in the field of Bioengineering.
The subject is taught in English.
Pre-course requirements
The subject is taught in English, so it is necessary to have a sufficient knowledge of this language to be able to follow the explanations and assimilate the teaching material provided. The subject uses mathematical techniques that must be known in advance: stiffness matrix, systems of equations, and the use of MATLAB programming software.
Objectives
1. Know the basic of differential equations.
2. Realize the relevant physical phenomena influencing the Bioengineering models.
3. Introduce the basic of finite element method (FEM).
4. Know how to address 1D, 2D, and 3D FEM.
5. Study the solution of differential equations using COMSOL software.
6. Present various methods for modelling in Bioengineering and life science with COMSOL software.
7. Study various practical application cases.
Competences/Learning outcomes of the degree programme
- CB1 - Students must demonstrate that they have and understand knowledge in an area of study based on general secondary education. This knowledge should be of a level that, although based on advanced textbooks, also includes some of the cutting-edge elements from their field of study.
- CB2 - Students must know how to apply their knowledge to their work or vocation in a professional way and have the competences that are demonstrated through the creation and defence of arguments and the resolution of problems within their field of study.
- CE1 - To solve the maths problems that arise in the field of Bioengineering. The ability to apply knowledge of geometry, calculate integrals, use numerical methods and achieve optimisation.
- CE10 - To design fixed and removable structures for the application of prosthetics and orthotics.
- CE16 - To apply specific Bioengineering terminology both verbally and in writing in a foreign language.
- CE2 - To know how to apply the basic concepts of mechanics and biomechanics to resolve problems that are specific to the field of Bioengineering.
- CE3 - To apply fundamental knowledge on using and programming computers, operating systems, databases and IT programs to the field of Bioengineering.
- CE9 - To apply the basic foundations of elasticity and the resistance of materials to the behaviour of actual volumes.
- CG1 - To undertake projects in the field of Bioengineering that aim to achieve a concept and a design, as well as manufacture prosthetics and orthotics that are specific to a certain pathology or need.
- CG10 - To know how to work in a multilingual and multidisciplinary environment.
- CG3 - To be able to learn new methods and theories and be versatile so as to adapt to new situations.
- CT3 - To know how to communicate learning results to other people both verbally and in writing, and well as thought processes and decision-making; to participate in debates in each particular specialist areas.
- CT4 - To be able to work as a member of an interdisciplinary team, whether as a member or by management tasks, with the aim of contributing to undertaking projects based on pragmatism and a feeling of responsibility, taking on commitment while bearing the resources available in mind.
Learning outcomes of the subject
The student, after taking this course, must:
- Having acquired sufficient knowledge of differential equations.
- Possess an adequate knowledge of finite element method.
- Having acquired an ability to reach valid conclusions after performing analysis and desing of Bioengineering models in COMSOL.
Syllabus
1 Introduction
1.1 Principal steps in the solution of Bioengineering problem.
1.2 Relevant physics affecting the behaviour of Bioengineering models.
1.3 Types of stress and strain.
2 Differential equations
2.1 Ordinary Differential Equation (ODE).
2.2 Partial Differential Equation (PDE).
3 MATLAB
3.1 Solving ODE and PDE in MATLAB
3.2 Solving Bioengineering Models in MATLAB.
4 Finite Element Method (FEM)
4.1 1D finite element analysis
4.2 The theory of elasticity in 2D analysis (Plane stress & Plane strain).
5 COMSOL
5.1 2D analysis and design of Bioengineering models.
5.2 3D analysis and design of Bioengineering models.
Teaching and learning activities
In person
The activities can be grouped into four main types: lecture sessions, participatory sessions, practical sessions and individual or group study
Evaluation systems and criteria
In person
The evaluation of the course will be as follows:
•Assignments: 15% •Class activity: 20% •Midterm Exam: 30% (November 9th, 2023) •Final Project: 35%To pass the subject, the student will pass the midterm exam with a minimum of 5.0 and assignments and class activities are all mandatory. In addition, plagiarism, copying or any other action that may be considered cheating will be zero in that evaluation section. Besides, plagiarism during exams will mean the immediate failing of the whole subject.
Bibliography and resources
- Dokos S (2016) Modelling organs, tissues, cells, and devices using MATLAB and COMSOL multiohysics. Springer.
- Kattan P (2006) MATLAB guide to finite elements, second edition. Springer
- Simmons G.F. (2016) Differential equations with applications and historical notes. Springer.
Evaluation period
- E1 09/01/2024 P2A03 16:00h
- E2 17/06/2024 P2A03 10:00h