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. Study the solution of differential equations using COMSOL software.
5. Present various methods for modelling in Bioengineering and life science with COMSOL software.
6. Study various practical application cases.
Competences/Learning outcomes of the degree programme
- CN01 - Describe aspects related to bioengineering based on subject-specific books together with scientific publications at the forefront of knowledge.
- CN06 - Define the fundamental principles of the technologies used in the design and manufacture of micro- and nanosensors in biotechnology areas.
- CP01 - Interpret relevant data (normally within their area of study) and issue judgements that include a reflection on relevant issues of a social, scientific and ethical nature.
- CP04 - Produce fixed and removable structures in medical device applications.
- CP08 - Apply biotechnological methodologies and tools for research, development and production of products and services.
- HB01 - Convey information, ideas, problems and solutions to both specialised and non-specialised audiences.
- HB04 - Assess the social and environmental impact of technical solutions through the analysis and application of quality principles and methods.
- HB05 - Integrate a third language, usually English, in a multilingual and multidisciplinary environment, with an adequate oral and written level and applying the terminology of bioengineering
- HB07 - Relate well-being with globalisation and sustainability, achieving skills for the use of technique, technology, economy and sustainability in a balanced and compatible way.
- HB12 - Evaluate manufacturing systems and processes, metrology and quality control.
- HB14 - Identify engineering concepts that can be applied in the field of biology and health.
Learning outcomes of the subject
Upon completion of this course, students will be able to:
• Distinguish the conceptual and methodological foundations of the various platforms that make up bioengineering: biotechnology, nanotechnology, pharmacology, immunology, microbiology, modeling, proteomics and genomics, drug delivery, project management...
• Apply the fundamentals of bioengineering in fields such as tissue engineering, orthotics, dental prosthetics, start-up creation, sustainability, and the design, manufacturing, and characterization of new medical devices.
• Define the characteristics of implants, dental prosthetics, radiological and surgical splints, relating them to osseointegration, prosthetic rehabilitation, and medical prescription.
• Define the materials and processes used in the manufacturing of implants, dental prosthetics, radiological and surgical splints.
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% (October 15th, 2024) •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 multiphysics. 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 09/01/2026 P2A03 12:00h