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Course 2022-2023 a.y.

30563 - MATHEMATICAL MODELLING FOR NEUROSCIENCE

BAI
Department of Computing Sciences

Course taught in English

Go to class group/s: 27

BAI (6 credits - II sem. - OB  |  2 credits BIO/09  |  4 credits MAT/07)
Course Director:
ALESSANDRO SANZENI

Classes: 27 (II sem.)
Instructors:
Class 27: ALESSANDRO SANZENI


Suggested background knowledge

Not required


Mission & Content Summary
MISSION

Brain functions, such as perception and learning, emerge from biological processes unraveling at different temporal and spatial scales. The purpose of this course is to present theoretical models that have been developed to explain these processes. Particular emphasis will be put on experimental results, which will be used to motivate the study of specific theoretical questions, and on the mathematical tools that have been developed to analyze them.

CONTENT SUMMARY

Biophysics of neurons and synapses

• Dynamics of networks of neurons

• Neural encoding and decoding of information

• Learning and memory in neural circuits


Intended Learning Outcomes (ILO)
KNOWLEDGE AND UNDERSTANDING
At the end of the course student will be able to...

Understand basic neurobiological concepts

• Understand experimental results obtained with recently developed technologies

• Understand phenomenological, mechanistic and normative models of neurobiological processes underlying brain functions

APPLYING KNOWLEDGE AND UNDERSTANDING
At the end of the course student will be able to...

• Compute response dynamics in single neuron, synapses, and neural networks models

• Interpret experimental data obtained in neurobiological recordings

• Analyze learning in simple neural network models


Teaching methods
  • Face-to-face lectures
  • Exercises (exercises, database, software etc.)
  • Individual assignments
DETAILS

Throughout the course, home assignments will be given to test the students’ understanding of the concepts taught in class, and to deepen the knowledge of the field.


Assessment methods
  Continuous assessment Partial exams General exam
  • Oral individual exam
  •     x
    ATTENDING AND NOT ATTENDING STUDENTS

    During the oral exam, students will be asked to discuss their solutions to the assignments given throughout the course, and to explain concepts taught in class.


    Teaching materials
    ATTENDING AND NOT ATTENDING STUDENTS

    The recommended textbook is:

    • L. F. Abbott and P. Dayan, Theoretical Neuroscience: Computational and Mathematical Modeling of Neural Systems, The MIT Press, 2005. Additional relevant references will be provided during the course.

    Last change 14/06/2022 12:23