Facoltà di Ingegneria - Guida degli insegnamenti (Syllabus)

Basic knowledge of: systems theory and transfer functions, Fourier series, electrical circuits

The course aims to provide the student with the fundamentals of mathematical and physical modeling of the cardiovascular system, and the main techniques for the electrocardiographic signal analysis. The knowledge of such fundamentals will allow the student to understand the physiology of the cardiovascular system in an engineering way.

The course will provide the fundamentals to solve practical physiological problems (such as computation of physiological quantities) by using models and signals. Such abilities will be acquired during frontal lessons and lab lessons. A written test and possibly an oral test will demonstrate that the students have indeed acquired such abilities. Specifically, the student will have to demonstrate to have a good theoretical knowledge of the topic, and to be able to use it in order to solve practical problems by hand or using a computer.

To reach satisfactory levels of knowledge and in order to be able to develop applicative abilities, the course will require the knowledge of some info of anatomy and physiology, of systems and control, of circuits and analysis. Such fundamentals will be provided at the beginning of the course

Electric activity of the cell. Nersts equation. Goldmans equation. Electric model for the cellular membrane. The action potential. Anatomy and physiology basis of the neuron. Anatomy and physiology basis of the heart. Electrophysiologic basis of the electrocardiography (ECG). The ECG signal: recording techniques and leads systems. Features of the healthy and pathological ECG signal. The digital ECG signal and issues related to sampling. Fouriers analysis of the ECG. Shannons theorem. Techniques to analyze the ECG in the time vs. frequency domains.The cardiovascular system. Cardiovascular hemodynamics. The concept of input impedence. Windkessel models with two elements, three elements, and viscoelastic. Cardiovascular controls. Exercises of practical application of the theoretical issues. Introduction to how to use Matlab for biomedical signal processing (plot, frequency analysis, resampling, filtering).

The assessment of student learning level consists of two parts: 1- a written exam, compulsory, lasting two hours, during which students must solve 3 practical exercises, 1 questions of theory and write a small program in Matlab; 2- -an optional oral examination, consisting in the discussion of 3 topics covered in the course, which can be accessed only if the written test is taken at least 18. The optional oral test must be supported in the same appeal of the written test.

In order to pass the written exam, the students must demonstrate that they have acquired a good theoretical knowledge of the subject, and learned how to use the theoretical principles to solve practical problems by hand (exercises) or through the use of the computer (programs)

Attribution of the final mark out of thirty

The final grade will coincide with that of the written test in case the student chooses not to take the oral exam, or averaging the grades of written and oral. The honors will be given to students who, having achieved the highest rating, have demonstrated complete mastery of the subject.

1)L Mainardi e P Ravazzani, Principi di Bioelettricità e Biomagnetismo, Pàtron Editore, 2011. 2)L Landini, Fondamenti di analisi dei segnali biomedici, Edizioni Plus, Pisa University Press, 2005. 3)Lecture notes.

- Ingegneria Biomedica (Corso di Laurea Triennale (DM 270/04))

**Università Politecnica delle Marche**

P.zza Roma 22, 60121 Ancona

Tel (+39) 071.220.1, Fax (+39) 071.220.2324

P.I. 00382520427