# PRINCIPI DI INFORMATICA MATEMATICA E FISICA APPLICATI ALLE BIOTECNOLOGIE A - L

12 CFU - 1° Semester

### Teaching Staff

MARIO FRANCESCO PAVONE - Module Mathematics and Computer Science: applications in biotechnology - INF/01 - 6 CFU
STEFANO ROMANO - Module FISICA APPLICATA ALLE BIOTECNOLOGIE - FIS/07 - 6 CFU

## Learning Objectives

• Mathematics and Computer Science: applications in biotechnology

To show basic mathematical concepts and how they can be used in the elaboration of simple models useful for the understanding of the biological phenomena; develop the ability to calculate and manipulate the most common mathematical objects; present with sufficient accuracy some simple but significant methods of proof of mathematics to refine the logical abilities; teach to communicate clearly the rigorous concepts. Knowing the fundamentals of computer science and possible applications in biology.

• FISICA APPLICATA ALLE BIOTECNOLOGIE

The course aims to provide students with the basic elements of Physics needed for applications of specific interest in the field of Biotechnology.

The course also aims to enhance:

• physical quantities and dimensional analysis;
• vector calculation and applications;
• static and dynamic of the material point and of the rigid body;
• fluidostatic and fluid dynamics;
• thermodynamics

## Course Structure

• Mathematics and Computer Science: applications in biotechnology

Through lessons and practical sessions at the end of each learning unit (when planned).

If the lessons are given in a mixed or remote way, the necessary changes with respect to what was previously stated may be introduced, in order to meet the program envisaged and reported in the syllabus.

• FISICA APPLICATA ALLE BIOTECNOLOGIE

Lectures with application examples.

If the lessons are given in a mixed or remote way, the necessary changes with respect to what was previously stated may be introduced, in order to meet the program envisaged and reported in the syllabus.

## Detailed Course Content

• Mathematics and Computer Science: applications in biotechnology

Mathematics Section

Recalls on numerical sets and on arithmetic calculation, properties of real numbers and their consequences.
Elementary theory of sets
Elementary functions: n-th power and roots functions, exponential functions and logarithm functions: definitions, properties, graphs, applications.
Use of exponentials and logarithms in the life sciences: models for the evolution of a population.
Functions of a real variable: overview of definition domain, growth, decrescence, maximum and minimum (absolute), composition of elementary functions and their graph.
Limits: definitions, properties, rules of calculation, order of infinity and infinitesimal, graphic aspects, oblique asymptotes.
Continuous functions: definition, properties, zero theorem, approximation of the zeroes of a function (for example of the roots of a polynomial) with the bisection method.
Continuous functions: existence of maximum and minimum over a closed and limited interval. Composition of elementary functions and their graph, considering definition domain, limits at the ends of the definition domain, crescenza and decrescence, maximums and minima.
Derivatives.
Integrals: definition, properties, area calculation, approximation with the trapezoidal method.
Differential equations, notes on numerical methods of resolution. Enzymatic and molecular kinetics.

Computer Section

Basic concepts.

Fundamental concepts of information theory; General concepts: Hardware, Software; Information technology; Types of computers; Main components of a PC; Performance of a computer. Hardware: Central processing unit; Memory; Input Devices; Output peripherals; Input / output devices; Memory devices. Software: Types of software; System software; Application software; Graphical User Interface; System development.

Introduction to algorithms.

Algorithms; Properties of the Algorithms; Description; Constants and Variables; Propositions and Predicates; Block diagrams

Introduction to computational biomedicine.

Bioinformatics and computational modeling in biomedicine.

Applications Section

Usage and access of the most important genomic, proteinomic and bibliographic databases
Practical examples of classical bioinformatics: assembly of genomic fragments, analysis and alignment of biosequences
Protege and ontologies: outline
COPASI: molecular modeling
Agent models: netlogo and customs systems

• FISICA APPLICATA ALLE BIOTECNOLOGIE

1) Physics quantities

Quantities in physics--International system-Dimensions and dimensional calculation-Measurement uncertainties

2) Vectors

Reference frame and euclidean axes; Geometrical meaning of vectors; Vectors in physics and their role in describing 2D and 3D space; Vector and scalar quantities; Vectors in the plane and their decomposition; Versors; Operation with vectors: sum, difference product

3) Kinematics

Position and displacement vector; Velocity and accelerations vectors; ; One dimensional motion with constant velocity; One dimensional motion with constant acceleration; Freely falling objects; Projectile motion; Uniform Circular motion; Centripetal acceleration

4) Dinamics

The concept of force; Newton's laws of motion; The force as a vector; Gravitational force; Forces of friction; The concept of work; Equilibrium condition and the inclined plane (with and without friction forces); Work done by a constant and a varying force; Conservative forces; Elastic forces and Hooke's law; The simple pendulum; Mass-spring system; Kinetic Energy and the wrok-kinetic energy theorem: Gravitaional force and gravitaional law; Conservation of energy; Potential energy; The isolated systems: conservation of mechanical energy; Linear momentum and its conservation; Impulse and momentum; Angular position, veolicity and acceleration; Rotational kinematics; Rigid body; Angular momentum and torque; Energy in rotational motion; Angular momentum conservation;

5) Fluid mechanics

Pressure; Variation of pressure with depth; Stevin's law; Pressure measurements; Pascal's law; Buoyant forces and Archimede's principle; Fluid dynamics; Bernoulli's equation

6) Thermodinamics

Temperature and the zeroth law of thermodynamics; Thermic contact; Thermometers; Absolute scale of temperatures; Thermic equilibrium; The heat; Thermal expansion of solids and liquids; Specific heat and calorimetry; Temperature of equiibrium; Latenet heat; The first law of thermodynamics; Work, heat and internal energy in thermodynamics; Transformation; Peferct gases; Transformations with constant temperature or volume or pressure; Molar specifi heat; The Mayer relation; Adiabatic transformations; The Carnot Cycle; The Carnot principle; The second law of thermodynamics; Entropy;

6) Electromagnetism

Point-like charges; The Coulomb law; Electric field and its sources; the Gauss law; Electric potential and energy; Capacity and Capacitors; Current, resistance and Ohm's laws; Magnetic field and its sources; Time-dependent magnetic fields; Introduction to the Maxwell equations; Electromagnetic waves and properties; Applications

## Textbook Information

• Mathematics and Computer Science: applications in biotechnology

Teacher's slides

• FISICA APPLICATA ALLE BIOTECNOLOGIE

1. D. Halliday, R. Resnick, J. Walker "Fondamenti di Fisica" (2015) Casa Ed. Ambrosiana;