Methods in mathematics and physics for biotechnology

A.Y. 2015/2016
Overall hours
FIS/03 MAT/08
Learning objectives
The main purpose of the Course is to present some experimental techniques widely used in laboratories working in the field of biology and biotechnology.
Noreover, we provide some examples of mathematical formalization and analysis of some biological and biophysical phenomena.
During the Course, we present the physical principles upon which these techniques are based and describe in detail the related experimental apparatus. The student has also the opportunity to visit laboratories for Microscopy and Spectroscopy and attend some experiments that illustrate the potential of each instrument. At the end of the Course the student will have acquired basic know-how in some fundamental physical methods that may be of considerable interest both during the course of studies and in professional activities that require specific experimental skills.
In addition, the student should acquire basic knowledge for the mathematical modeling approach in biology.
Expected learning outcomes
Course syllabus and organization

Single session

Lesson period
First semester
Course syllabus
· Radiation Matter Interaction
· Optical Microscopy
· Fluorescence Optical Microscopy
· Confocal Microscopy
· Scanning Electron Microscopy (SEM)
· Transmission Electron Microscopy (TEM)
· Scanning Probe Microscopy (STM, AFM)
· Optical Spectroscopy (UV-Vis)
· Vibrational Spectroscopy (IR)
· Electron spectroscopy (XPS)

· Basic for many variable calculus
· Basic Linear Algebra
· Introduction to Mathematical modelling
· Differential equations for biological phenomena
· Parameters identification
· Introduction to Fourier analysis

Two sessions (two hours each) are supplied per visiting and exercising in the laboratories of confocal microscopy (CLSM) and electron microscopy (SEM and TEM), atomic force microscopy (AFM) and electron spectroscopy (XPS).

A MATLAB laboratory session is supplied for the numerical simulation of some models.
FIS/03 - PHYSICS OF MATTER - University credits: 0
MAT/08 - NUMERICAL ANALYSIS - University credits: 0
Practicals: 8 hours
Lessons: 44 hours