Universitat Internacional de Catalunya

Modeling and Simulation Techniques

Modeling and Simulation Techniques
First semester
Main language of instruction: English

Other languages of instruction: Catalan, Spanish

Teaching staff

Due to the Covid19 situation, please send an email to make an appointment


Prof. Miguel Cerrolaza   mcerrolaza@uic.es  

Modeling and Simulation Techniques is an optional subject in the official curriculum of the Degree in Bioengineering.

In this course, the basic concepts of implant modeling and simulation are presented, using CAD design software and the finite element method. Various application cases are studied and discussed.

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: differential equations, systems of equations, use of modeling and analysis software


1. Introduce the basic concepts of implant modeling and simulation.

2. Present the modeling techniques and use of CAD software

3. Know the basic methods of finite element analysis

4. Present the simulation techniques and use of numerical analysis software

5. Know other simulation methods in bioengineering

6. Study various practical application cases


  • 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.
  • CB3 - Students must have the ability to bring together and interpret significant data (normally within their area of study) and to issue judgements that include a reflection on important issues that are social, scientific or ethical in nature.
  • 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.
  • CE11 - To evaluate manufacturing, metrological and quality control systems and processes.
  • 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.
  • 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

The student, after taking this course, must:

- Have basic knowledge of implant modeling and simulation.

- Having acquired an analytical ability to reach valid conclusions after a process of analysis.

- Incorporate scientific rigor in CAD modeling and finite element simulation.

- Be able to model a simple implant and analyze it using finite elements


1 Introduction to modeling

1.1     Motivation

1.2     Overview of applications


2 Exoprostheses and implants

2.1 Exoskeletons and hand prostheses

2.2 Implants

2.3 Classification

2.4   Evolution

2.5  Ethical and legal issues


3  Modeling

 3.1  Modeling techniques

3.2    Modeling a prosthetic foot


4  Modeling software

 4.1 Commercial software vs free software

 4.2 Salome software

 4.3 Preprocessing


5  Numerical methods for simulation

    5.1  Why do we need numerical simulation?

    5.2  Linear systems

    5.3  Solution of differential equations


6  Finite elements

    6.1  Introduction to finite elements

    6.2  The finite element method

    6.3  Finite elements applications


7  Finite elements software

 7.1 Commercial software vs free software

 7.2 Introduction to PrePoMax code: installing the code

 7.3 Finite elements processing

 7.4 Numerical examples


8  Other simulation methods

 8.1 Finite differences

 8.2 Finite volumes

 8.3 Boundary elements

 8.4 Lattice-Boltzmann methods

 8.5 Mesh generation

 8.6 Examples


9  Study cases

 9.1 Artificial cardiac valves

 9.2 Knee prosthesis

 9.3 Hip prosthesis

 9.4 Dental implants

 9.5 Spine prosthesis

 9.6 Hand orthesis

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 will be as listed below:

A)     Continuous evaluation (portfolio of activities) (60%)

  • Short exam (test) (20%)
  • Class attendance and attitude in class (10%)
  • Analysis of a modeling/simulation paper (20%)
  • Modeling of several implants (10%)

B) Final Project (40%)

  • Modeling and analysis of an implant proposed by the student
  • Delivery of the project and presentation

To consider:

1. The grade for the course is made up of the grade for the portfolio (60%) plus the Project for the course (40%).

2. In order to calculate the grade for the course, the student is required to obtain at least 4.5 in the Final Project. Otherwise, the Final Project must be submitted in the 2nd call.

3. The portfolio is graded on 1st call, so all portfolio activities must be delivered on 1st call.

4. If any student could not present the Final Project in 1st call, they can do it in 2nd call.


More to consider:

  1. 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.
  2. In the second-sitting exams, the maximum grade students will be able to obtain is "Excellent" (grade with honors distinction will not be possible).
  3. Changes of the calendar, exam dates or the evaluation system will not be accepted.
  4. Exchange students (Erasmus and others) or repeaters will be subjected to the same conditions as the rest of the students.

Bibliography and resources

  • Cerrolaza M, Doblaré M, Martínez G, Calvo B (2004). Computational Bioengineering. Current Trends and Applications. London, UK. Imperial College Press.
  • Zienkiewicz OC, Taylor RL, Fox DD (2014). The finite element method for Solid and Structural Mechanics. Oxford. Butterworth-Heinemann.
  • Smith I, Griffiths DV, Margetts L (2013). Programming the Finite Element Method. Wiley
  • Hughes TJR (2000). The finite element method: linear static and dynamic analysis finite element analysis. Nueva Jersey. Dover
  • Kane J (1994). Boundary element Analysis in Engineering Continuum Mechanics. Nueva Jersey. Prentice-Hall.
  • Cerrolaza M, Duarte V, Garzón-Alvarado D (2017). Analysis of bone remodeling under piezoelectric effects by the BEM, J. Bionic Engng, 14(4):659-671
  • Rao SS (1996). Engineering Optimization: Theory and Practice (3rd ed.) NY. Wiley-Interscience.
  • Viosca E, Prat J (1999). Guía de uso y prescripción de productos ortoprotésicos a la medida. Valencia. Instituto de Biomecánica de Valencia.
  • Chen Q, Thouas G (2014). Biomaterials: A Basic Introduction. Boca Ratón, Florida. CRC Press.
  • Annicchiarico W, Périaux J, Cerrolaza M, Winter G, (Eds) (2007). Evolutionary algorithms and intelligent tools in engineering optimization, WIT Press, UK.
  • Cerrolaza M, Shefelbine S, Garzón A (Eds) (2017). Numerical methods and advanced simulation in biomechanics and biological processes, Elsevier, 450 pp.
  • Davila E, Ortiz M, Perez RA, Herrero M, Cerrolaza M, Gil FJ (2019). Crestal neck design optimization of dental implants: finite element analysis and in vivo studies, Mater. Sci.: Mater. in Medic., 30(8):90
  • Uzcátegui G, Dávila E, Cerrolaza M (2015). A simple and efficient methodology to improve design proposals of dental implants, Biomed Engng.: App., Bas. & Comm. 27(3)