110 http://isa.epfl.ch/imoniteur_ISAP/ itffichecours.txt?path=EPFL.Etu.FicheCours.HeaderFR itffichecours.txt?path=EPFL.Etu.FicheCours.GlobalNav_js fr 2026 116995070 2936295 116995070 1866893861 1866893861 0 0 Auditeurs AUDIT !itffichecours.htm?ww_i_matiere=1501614035&ww_x_anneeAcad=1866893861&ww_i_section=116995070&ww_i_niveau=2936295 1696552884 1696552963 2018-2019 COURSE BOOKLET BIO-465 Biological modeling of neural networks Biological modeling of neural networks Lecturers Gerstner Wulfram Language of teaching English Cursus Auditeurs en ligne(2018-2019, Auditeurs en ligne 2018-19)
Biocomputing minor(2018-2019, Mineur : Biocomputing 2018-19)
Biomedical technologies minor(2018-2019, Mineur : Technologies biomédicales 2018-19)
Communication Systems - master program(2018-2019, SC - Master EPFL 2017)
Communication Systems - master program(2018-2019, SC - Master EPFL 2018)
Computational Neurosciences minor(2018-2019, Mineur : Neurosciences computationnelles 2018-19)
Computational science and Engineering(2018-2019, MA-CO - Master 2017)
Computational science and Engineering(2018-2019, MA-CO - Master 2018)
Computer Science - Cybersecurity(2018-2019, IN-CS - Master 2018)
Computer Science(2018-2019, IN - Master 2018)
Data Science(2018-2019, SC_DS - Master 2017)
Data Science(2018-2019, SC_DS - Master 2018)
Electrical Engineering (edoc)(2018-2019, EDEE 2018-19)
Electrical and Electronics Engineering(2018-2019, EL - Master 2017)
Electrical and Electronics Engineering(2018-2019, EL - Master 2018)
Life Sciences Engineering(2018-2019, SV - Master 2018)
Life Sciences and Technologies - master program(2018-2019, SV_STV - Master 2017)
Life Sciences and Technologies - master program(2018-2019, SV_STV - Master 2018)
Neuroprosthetics minor(2018-2019, Mineur : Neuroprosthétiques 2018-19)
Neuroscience (edoc)(2018-2019, EDNE 2018-19)
SemesterMand.OptionFilières
x
Ex
Ex
MA2, MA4x
MA2, MA4xA
MA2, MA4xB
MA2x
MA2xE G
 Credits 4 Session Summer Workload 120h Exam Written Number of positions Semester Spring Weeks 14 Hours 4 weekly
Courses 2 weekly
Exercises 2 weekly
Cursus Sem. Type
Auditeurs en ligne E Obl.
Biocomputing minor E Opt.
Biomedical technologies minor E Opt.
Computational Neurosciences minor E Opt.
Computational science and Engineering MA2, MA4 Opt.
Computer science MA2 Opt.
Cybersecurity MA2 Opt.
Data Science MA2, MA4 Opt.
Electrical Engineering Obl.
Electrical and Electronical Engineering MA2, MA4 Opt.
Life Sciences Engineering MA2 Opt.
Neuroprosthetics minor E Opt.
Neuroscience Obl.
SC master EPFL MA2, MA4 Opt.
Sciences du vivant MA2, MA4 Opt.
Summary In this course we study mathematical models of neurons and neuronal networks in the context of biology and establish links to models of cognition. Content

I. Models of single neurons 1. Introduction: brain vs computer and a first simple neuron model 2. Models on the level of ion current (Hodgkin-Huxley model) 3./4.  Two-dimensional models and phase space analysis II. Neuronal Dynamics of Cognition  5./6. Associative Memory and Attractor Dynamics (Hopfield Model)   7. Neuronal Populations and networks 8. Continuum models and perception 9. Competition and models of Decision making III. Noise and the neural code 10. Noise and variability of spike trains (point processes, renewal process, interval distribution) 11: Variance of membrane potentials and  Spike Response Models IV. Plasticity and Learning 12.  Synaptic Plasticity and Long-term potentiation and Learning (Hebb rule, mathematical formulation) 13. Summary: Fitting Neural Models to Data

 Keywords

neural networks, neuronal dynamics, computational neuroscience, mathematical modeling in biology, applied mathematics, brain, cognition, neurons, memory, learning, plasticity

 Learning Prerequisites Required courses

undergraduate math at the level of electrical engineering or physics majors

undergraduate physics.

 Recommended courses

Analysis I-III, linear algebra, probability and statistics
For SSV students: Dynamical Systems Theory for Engineers or "Mathematical and Computational Models in Biology"

 Important concepts to start the course

Differential equations, stochastic processes,

 Learning Outcomes By the end of the course, the student must be able to:
  • Analyze two-dimensional models in the phase plane
  • Solve linear one-dimensional differential equations
  • Develop a simplified model by separation of time scales
  • Analyze connected networks in the mean-field limit
  • Formulate stochastic models of biological phenomena
  • Formalize biological facts into mathematical models
  • Prove stability and convergence
  • Apply model concepts in simulations
  • Predict outcome of dynamics
  • Describe neuronal phenomena
 Transversal skills
  • Plan and carry out activities in a way which makes optimal use of available time and other resources.
  • Collect data.
  • Write a scientific or technical report.
 Teaching methods

Classroom teaching, exercises and miniproject

 Expected student activities

- participate in ALL in-class exercises.

- do all homework exercises (paper-and-pencil)

- study video lectures if you miss a class

- study suggested textbook sections for in-depth understanding of material

- submit miniprojects

 Assessment methods

Written exam (67%) & miniproject (33%)

 Supervision Office hours No Assistants Yes Forum Yes Others

The teacher is available during the breaks of the class.

Some exercises are integrated in class in the presence of the teacher and the teaching assistants.

 Resources Bibliography

 Gerstner, Kistler, Naud, Pansinski : Neuronal Dynamics, Cambridge Univ. Press 2014

 Ressources en bibliothèque
  • Neuronal Dynamics / Gerstnerhttp://library.epfl.ch/en/beast?isbn=978-1-107-06083-8
 Notes/Handbook

The textbook is online at: http://neuronaldynamics.epfl.ch/

 Videos Informatique, 2018-2019, Master semestre 2 Computer Science, 2018-2019, Master semester 2 Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2018-2019 Master semestre 2 MA2 ETE Master semester 2 MA2 Informatique IN Computer Science IN
Informatique IN Computer Science IN
optionnel optional
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
1501614035 Biological modeling of neural networks Biological modeling of neural networks 4
Ecrit Written Crédit Credits 4 Session été Session summer ETE ETE
Data Science, 2018-2019, Master semestre 2 Data Science, 2018-2019, Master semester 2 Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2018-2019 Master semestre 2 MA2 ETE Master semester 2 MA2 Data Science SC_DS Data Science SC_DS
Systèmes de communication SC Communication Systems SC
optionnel optional
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
1501614035 Biological modeling of neural networks Biological modeling of neural networks 4
Ecrit Written Crédit Credits 4 Session été Session summer ETE ETE
Data Science, 2018-2019, Master semestre 4 Data Science, 2018-2019, Master semester 4 Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2018-2019 Master semestre 4 MA4 ETE Master semester 4 MA4 Data Science SC_DS Data Science SC_DS
Systèmes de communication SC Communication Systems SC
optionnel optional
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
1501614035 Biological modeling of neural networks Biological modeling of neural networks 4
Ecrit Written Crédit Credits 4 Session été Session summer ETE ETE
Génie électrique et électronique, 2018-2019, Master semestre 2 Electrical and Electronics Engineering, 2018-2019, Master semester 2 Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2018-2019 Master semestre 2 MA2 ETE Master semester 2 MA2 Génie électrique et électronique EL Electrical and Electronics Engineering EL
Génie électrique et électronique EL Electrical and Electronics Engineering EL
optionnel optional
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
1501614035 Biological modeling of neural networks Biological modeling of neural networks 4
Ecrit Written Crédit Credits 4 Session été Session summer ETE ETE
Génie électrique et électronique, 2018-2019, Master semestre 4 Electrical and Electronics Engineering, 2018-2019, Master semester 4 Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2018-2019 Master semestre 4 MA4 ETE Master semester 4 MA4 Génie électrique et électronique EL Electrical and Electronics Engineering EL
Génie électrique et électronique EL Electrical and Electronics Engineering EL
optionnel optional
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
1501614035 Biological modeling of neural networks Biological modeling of neural networks 4
Ecrit Written Crédit Credits 4 Session été Session summer ETE ETE
Ingénierie des sciences du vivant, 2018-2019, Master semestre 2 Life Sciences Engineering, 2018-2019, Master semester 2 Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2018-2019 Master semestre 2 MA2 ETE Master semester 2 MA2 Ingénierie des sciences du vivant SV Life Sciences Engineering SV
Ingénierie des sciences du vivant SV Life Sciences Engineering SV
E G optionnel optional
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
1501614035 Biological modeling of neural networks Biological modeling of neural networks 4
Ecrit Written Crédit Credits 4 Session été Session summer ETE ETE
Science et ingénierie computationnelles, 2018-2019, Master semestre 2 Computational science and Engineering, 2018-2019, Master semester 2 Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2018-2019 Master semestre 2 MA2 ETE Master semester 2 MA2 Science et ingénierie computationnelles MA_CO Computational science and Engineering MA_CO
Mathématiques MA Mathematics MA
A optionnel optional
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
1501614035 Biological modeling of neural networks Biological modeling of neural networks 4
Ecrit Written Crédit Credits 4 Session été Session summer ETE ETE
Science et ingénierie computationnelles, 2018-2019, Master semestre 4 Computational science and Engineering, 2018-2019, Master semester 4 Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2018-2019 Master semestre 4 MA4 ETE Master semester 4 MA4 Science et ingénierie computationnelles MA_CO Computational science and Engineering MA_CO
Mathématiques MA Mathematics MA
A optionnel optional
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
1501614035 Biological modeling of neural networks Biological modeling of neural networks 4
Ecrit Written Crédit Credits 4 Session été Session summer ETE ETE
Sciences et technologies du vivant - master, 2018-2019, Master semestre 2 Life Sciences and Technologies - master program, 2018-2019, Master semester 2 Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2018-2019 Master semestre 2 MA2 ETE Master semester 2 MA2 Sciences et technologies du vivant - master SV_STV Life Sciences and Technologies - master program SV_STV
Ingénierie des sciences du vivant SV Life Sciences Engineering SV
B optionnel optional
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
1501614035 Biological modeling of neural networks Biological modeling of neural networks 4
Ecrit Written Crédit Credits 4 Session été Session summer ETE ETE
Sciences et technologies du vivant - master, 2018-2019, Master semestre 4 Life Sciences and Technologies - master program, 2018-2019, Master semester 4 Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2018-2019 Master semestre 4 MA4 ETE Master semester 4 MA4 Sciences et technologies du vivant - master SV_STV Life Sciences and Technologies - master program SV_STV
Ingénierie des sciences du vivant SV Life Sciences Engineering SV
B optionnel optional
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
1501614035 Biological modeling of neural networks Biological modeling of neural networks 4
Ecrit Written Crédit Credits 4 Session été Session summer ETE ETE
Systèmes de communication - master, 2018-2019, Master semestre 2 Communication Systems - master program, 2018-2019, Master semester 2 Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2018-2019 Master semestre 2 MA2 ETE Master semester 2 MA2 Systèmes de communication - master SC_EPFL Communication Systems - master program SC_EPFL
Systèmes de communication SC Communication Systems SC
optionnel optional
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
1501614035 Biological modeling of neural networks Biological modeling of neural networks 4
Ecrit Written Crédit Credits 4 Session été Session summer ETE ETE
Systèmes de communication - master, 2018-2019, Master semestre 4 Communication Systems - master program, 2018-2019, Master semester 4 Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2018-2019 Master semestre 4 MA4 ETE Master semester 4 MA4 Systèmes de communication - master SC_EPFL Communication Systems - master program SC_EPFL
Systèmes de communication SC Communication Systems SC
optionnel optional
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
1501614035 Biological modeling of neural networks Biological modeling of neural networks 4
Ecrit Written Crédit Credits 4 Session été Session summer ETE ETE
Auditeurs en ligne, 2018-2019, Semestre printemps Auditeurs en ligne, 2018-2019, Spring semester Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2018-2019 Semestre printemps E ETE Spring semester E Auditeurs en ligne AUDIT_EN_LIGNE Auditeurs en ligne AUDIT_EN_LIGNE
obligatoire mandatory
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
1501614035 Biological modeling of neural networks Biological modeling of neural networks 4
Ecrit Written Crédit Credits 4 Session été Session summer ETE ETE
Génie électrique (edoc), 2018-2019 Electrical Engineering (edoc), 2018-2019 Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2018-2019 Génie électrique (edoc) EDEE Electrical Engineering (edoc) EDEE
obligatoire mandatory
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
1501614035 Biological modeling of neural networks Biological modeling of neural networks 4
Ecrit Written Crédit Credits 4 Session été Session summer ETE ETE
Mineur en Biocomputing, 2018-2019, Semestre printemps Biocomputing minor, 2018-2019, Spring semester Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2018-2019 Semestre printemps E ETE Spring semester E Mineur en Biocomputing MIN_BIOCOMP Biocomputing minor MIN_BIOCOMP
optionnel optional
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
1501614035 Biological modeling of neural networks Biological modeling of neural networks 4
Ecrit Written Crédit Credits 4 Session été Session summer ETE ETE
Mineur en Neuroprosthétiques, 2018-2019, Semestre printemps Neuroprosthetics minor, 2018-2019, Spring semester Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2018-2019 Semestre printemps E ETE Spring semester E Mineur en Neuroprosthétiques MIN_NEUPRO Neuroprosthetics minor MIN_NEUPRO
optionnel optional
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
1501614035 Biological modeling of neural networks Biological modeling of neural networks 4
Ecrit Written Crédit Credits 4 Session été Session summer ETE ETE
Mineur en Neurosciences computationnelles, 2018-2019, Semestre printemps Computational Neurosciences minor, 2018-2019, Spring semester Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2018-2019 Semestre printemps E ETE Spring semester E Mineur en Neurosciences computationnelles MIN_NEUR_COMP Computational Neurosciences minor MIN_NEUR_COMP
optionnel optional
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
1501614035 Biological modeling of neural networks Biological modeling of neural networks 4
Ecrit Written Crédit Credits 4 Session été Session summer ETE ETE
Mineur en Technologies biomédicales, 2018-2019, Semestre printemps Biomedical technologies minor, 2018-2019, Spring semester Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2018-2019 Semestre printemps E ETE Spring semester E Mineur en Technologies biomédicales MIN_BIOMED Biomedical technologies minor MIN_BIOMED
optionnel optional
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
1501614035 Biological modeling of neural networks Biological modeling of neural networks 4
Ecrit Written Crédit Credits 4 Session été Session summer ETE ETE
Neurosciences (edoc), 2018-2019 Neuroscience (edoc), 2018-2019 Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2018-2019 Neurosciences (edoc) EDNE Neuroscience (edoc) EDNE
obligatoire mandatory
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Gerstner Wulfram 111732
Informatique IN Computer Science IN
1501614035 Biological modeling of neural networks Biological modeling of neural networks 4
Ecrit Written Crédit Credits 4 Session été Session summer ETE ETE
. BALISES_TEXTES BOOLEAN_Symbol BaliseJS_debut BaliseJS_fin Balise_debut Balise_fin FO_debut FO_fin HTML_debut HTML_fin JS_debut JS_fin BALISE_BOLD BOOLEAN_Symbol BaliseJS_debut \x5bb\x5d BaliseJS_fin \x5b\x2fb\x5d Balise_debut [b] Balise_fin [/b] FO_debut font-weight=bold FO_fin font-weight=normal HTML_debut <b> HTML_fin </b> JS_debut \x3cb\x3e JS_fin \x3c\x2fb\x3e BALISE_ITALIC BOOLEAN_Symbol BaliseJS_debut \x5bi\x5d BaliseJS_fin \x5b\x2fi\x5d Balise_debut [i] Balise_fin [/i] FO_debut font-style=italic FO_fin font-style=normal HTML_debut <i> HTML_fin </i> JS_debut \x3ci\x3e JS_fin \x3c\x2fi\x3e BALISE_RED BOOLEAN_Symbol BaliseJS_debut \x5bred\x5d BaliseJS_fin \x5b\x2fred\x5d Balise_debut [red] Balise_fin [/red] FO_debut color=#990033 FO_fin color=black HTML_debut <span style="color:#990033;"> HTML_fin </span> JS_debut \x3cspan style="color:#990033;"\x3e JS_fin \x3c\x2fspan\x3e BALISE_TAB BOOLEAN_Symbol BaliseJS_debut \x5btab\x5d BaliseJS_fin Balise_debut [tab] Balise_fin FO_debut [inline]=&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160; FO_fin HTML_debut <img src="/images/gestacplus/base/pixel.gif" width="40" height="1"/> HTML_fin JS_debut \x3cimg src="\x2fimages\x2fgestacplus\x2fbase\x2fpixel.gif" width="40" height="1"\x2f\x3e JS_fin BALISE_LIST BOOLEAN_Symbol BaliseJS_debut \x5bli\x5d BaliseJS_fin Balise_debut [li] Balise_fin FO_debut [inline]=&#x2022;&#160;&#160; FO_fin HTML_debut &#x2022;&#160;&#160; HTML_fin JS_debut \x26#x2022;\x26#160;\x26#160; JS_fin CODE5045487 BOOLEAN_Symbol BaliseJS_debut \x5b\x5d BaliseJS_fin Balise_debut [] Balise_fin FO_debut [inline]=&#160; FO_fin HTML_debut &#160; HTML_fin JS_debut \x26#160; JS_fin BALISE_GREEN BOOLEAN_Symbol BaliseJS_debut \x5bgreen\x5d BaliseJS_fin \x5b\x2fgreen\x5d Balise_debut [green] Balise_fin [/green] FO_debut color=#008000 FO_fin color=black HTML_debut <span style="color:#008000;"> HTML_fin </span> JS_debut \x3cspan style="color:#008000;"\x3e JS_fin \x3c\x2fspan\x3e CODE7508550 BOOLEAN_Symbol BaliseJS_debut \x5bblue\x5d BaliseJS_fin \x5b\x2fblue\x5d Balise_debut [blue] Balise_fin [/blue] FO_debut color=#0080FF FO_fin color=black HTML_debut <span style="color:#0080FF;"> HTML_fin </span> JS_debut \x3cspan style="color:#0080FF;"\x3e JS_fin \x3c\x2fspan\x3e BALISE_COURIER BOOLEAN_Symbol BaliseJS_debut \x5bcourier\x5d BaliseJS_fin \x5b\x2fcourier\x5d Balise_debut [courier] Balise_fin [/courier] FO_debut font-family=Courier FO_fin font-family= HTML_debut <font style="font-family:Courier;"> HTML_fin </font> JS_debut \x3cfont style="font-family:Courier;"\x3e JS_fin \x3c\x2ffont\x3e BALISE_SIZE20 BOOLEAN_Symbol BaliseJS_debut \x5b20\x5d BaliseJS_fin \x5b\x2f20\x5d Balise_debut [20] Balise_fin [/20] FO_debut font-size=20pt FO_fin font-size= HTML_debut <font style="font-size:20pt;"> HTML_fin </font> JS_debut \x3cfont style="font-size:20pt;"\x3e JS_fin \x3c\x2ffont\x3e BALISE_SIZE16 BOOLEAN_Symbol BaliseJS_debut \x5b16\x5d BaliseJS_fin \x5b\x2f16\x5d Balise_debut [16] Balise_fin [/16] FO_debut font-size=16pt FO_fin font-size= HTML_debut <font style="font-size:16pt;"> HTML_fin </font> JS_debut \x3cfont style="font-size:16pt;"\x3e JS_fin \x3c\x2ffont\x3e BALISE_SIZE12 BOOLEAN_Symbol BaliseJS_debut \x5b12\x5d BaliseJS_fin \x5b\x2f12\x5d Balise_debut [12] Balise_fin [/12] FO_debut font-size=12pt FO_fin font-size= HTML_debut <font style="font-size:12pt;"> HTML_fin </font> JS_debut \x3cfont style="font-size:12pt;"\x3e JS_fin \x3c\x2ffont\x3e BALISE_SIZE8 BOOLEAN_Symbol BaliseJS_debut \x5b8\x5d BaliseJS_fin \x5b\x2f8\x5d Balise_debut [8] Balise_fin [/8] FO_debut font-size=8pt FO_fin font-size= HTML_debut <font style="font-size:8pt;"> HTML_fin </font> JS_debut \x3cfont style="font-size:8pt;"\x3e JS_fin \x3c\x2ffont\x3e BALISE_BLACKBACK BOOLEAN_Symbol BaliseJS_debut \x5bblackback\x5d BaliseJS_fin \x5b\x2fblackback\x5d Balise_debut [blackback] Balise_fin [/blackback] FO_debut background-color=black FO_fin background-color=white HTML_debut <span style="background-color:black;"> HTML_fin </span> JS_debut \x3cspan style="background-color:black;"\x3e JS_fin \x3c\x2fspan\x3e BALISE_WHITE BOOLEAN_Symbol BaliseJS_debut \x5bwhite\x5d BaliseJS_fin \x5b\x2fwhite\x5d Balise_debut [white] Balise_fin [/white] FO_debut color=white FO_fin color=black HTML_debut <span style="color:white;"> HTML_fin </span> JS_debut \x3cspan style="color:white;"\x3e JS_fin \x3c\x2fspan\x3e CODE47534071 BOOLEAN_Symbol 1 BaliseJS_debut \x5bbeta\x5d BaliseJS_fin Balise_debut [beta] Balise_fin FO_debut [inline]=&#946; FO_fin HTML_debut &#946; HTML_fin JS_debut \x26#946; JS_fin CODE47534435 BOOLEAN_Symbol 1 BaliseJS_debut \x5balpha\x5d BaliseJS_fin Balise_debut [alpha] Balise_fin FO_debut [inline]=&#945; FO_fin HTML_debut &#945; HTML_fin JS_debut \x26#945; JS_fin CODE47551722 BOOLEAN_Symbol BaliseJS_debut \x5bsub\x5d BaliseJS_fin \x5b\x2fsub\x5d Balise_debut [sub] Balise_fin [/sub] FO_debut vertical-align=sub FO_fin vertical-align=baseline HTML_debut <sub> HTML_fin </sub> JS_debut \x3csub\x3e JS_fin \x3c\x2fsub\x3e CODE48535424 BOOLEAN_Symbol 1 BaliseJS_debut \x5bLAMBDA\x5d BaliseJS_fin Balise_debut [LAMBDA] Balise_fin FO_debut [inline]=&#923; FO_fin HTML_debut &#923; HTML_fin JS_debut \x26#923; JS_fin CODE48535666 BOOLEAN_Symbol 1 BaliseJS_debut \x5blambda\x5d BaliseJS_fin Balise_debut [lambda] Balise_fin FO_debut [inline]=&#955; FO_fin HTML_debut &#955; HTML_fin JS_debut \x26#955; JS_fin CODE47551793 BOOLEAN_Symbol BaliseJS_debut \x5bsup\x5d BaliseJS_fin \x5b\x2fsup\x5d Balise_debut [sup] Balise_fin [/sup] FO_debut vertical-align=super FO_fin vertical-align=baseline HTML_debut <sup> HTML_fin </sup> JS_debut \x3csup\x3e JS_fin \x3c\x2fsup\x3e CODE56031535 BOOLEAN_Symbol 1 BaliseJS_debut \x5bdelta\x5d BaliseJS_fin Balise_debut [delta] Balise_fin FO_debut [inline]=&#948; FO_fin HTML_debut &#948; HTML_fin JS_debut \x26#948; JS_fin CODE56073309 BOOLEAN_Symbol 1 BaliseJS_debut \x5bpi\x5d BaliseJS_fin Balise_debut [pi] Balise_fin FO_debut [inline]=&#960; FO_fin HTML_debut &#960; HTML_fin JS_debut \x26#960; JS_fin CODE56074095 BOOLEAN_Symbol 1 BaliseJS_debut \x5bDELTA\x5d BaliseJS_fin Balise_debut [DELTA] Balise_fin FO_debut [inline]=&#916; FO_fin HTML_debut &#916; HTML_fin JS_debut \x26#916; JS_fin CODE56074172 BOOLEAN_Symbol 1 BaliseJS_debut \x5bMU\x5d BaliseJS_fin Balise_debut [MU] Balise_fin FO_debut [inline]=&#924; FO_fin HTML_debut &#924; HTML_fin JS_debut \x26#924; JS_fin CODE56074264 BOOLEAN_Symbol 1 BaliseJS_debut \x5bPI\x5d BaliseJS_fin Balise_debut [PI] Balise_fin FO_debut [inline]=&#928; FO_fin HTML_debut &#928; HTML_fin JS_debut \x26#928; JS_fin CODE56074328 BOOLEAN_Symbol 1 BaliseJS_debut \x5bSIGMA\x5d BaliseJS_fin Balise_debut [SIGMA] Balise_fin FO_debut [inline]=&#931; FO_fin HTML_debut &#931; HTML_fin JS_debut \x26#931; JS_fin CODE56075056 BOOLEAN_Symbol 1 BaliseJS_debut \x5bALPHA\x5d BaliseJS_fin Balise_debut [ALPHA] Balise_fin FO_debut [inline]=&#913; FO_fin HTML_debut &#913; HTML_fin JS_debut \x26#913; JS_fin CODE56075186 BOOLEAN_Symbol 1 BaliseJS_debut \x5bBETA\x5d BaliseJS_fin Balise_debut [BETA] Balise_fin FO_debut [inline]=&#914; FO_fin HTML_debut &#914; HTML_fin JS_debut \x26#914; JS_fin BALISE_SYMBOL BOOLEAN_Symbol BaliseJS_debut \x5bsymbol\x5d BaliseJS_fin \x5b\x2fsymbol\x5d Balise_debut [symbol] Balise_fin [/symbol] FO_debut font-family=Symbol FO_fin font-family= HTML_debut <font style="font-family:Symbol;"> HTML_fin </font> JS_debut \x3cfont style="font-family:Symbol;"\x3e JS_fin \x3c\x2ffont\x3e CODE56072935 BOOLEAN_Symbol 1 BaliseJS_debut \x5bmu\x5d BaliseJS_fin Balise_debut [mu] Balise_fin FO_debut [inline]=&#956; FO_fin HTML_debut &#956; HTML_fin JS_debut \x26#956; JS_fin CODE56073842 BOOLEAN_Symbol 1 BaliseJS_debut \x5bsigma\x5d BaliseJS_fin Balise_debut [sigma] Balise_fin FO_debut [inline]=&#963; FO_fin HTML_debut &#963; HTML_fin JS_debut \x26#963; JS_fin CODE68199232 BOOLEAN_Symbol 1 BaliseJS_debut \x5bphi\x5d BaliseJS_fin Balise_debut [phi] Balise_fin FO_debut [inline]=&#966; FO_fin HTML_debut &#966; HTML_fin JS_debut \x26#966; JS_fin CODE68199285 BOOLEAN_Symbol 1 BaliseJS_debut \x5bPHI\x5d BaliseJS_fin Balise_debut [PHI] Balise_fin FO_debut [inline]=&#934; FO_fin HTML_debut &#934; HTML_fin JS_debut \x26#934; JS_fin CODE68199991 BOOLEAN_Symbol 1 BaliseJS_debut \x5bgamma\x5d BaliseJS_fin Balise_debut [gamma] Balise_fin FO_debut [inline]=&#947; FO_fin HTML_debut &#947; HTML_fin JS_debut \x26#947; JS_fin CODE68200031 BOOLEAN_Symbol 1 BaliseJS_debut \x5bGAMMA\x5d BaliseJS_fin Balise_debut [GAMMA] Balise_fin FO_debut [inline]=&#915; FO_fin HTML_debut &#915; HTML_fin JS_debut \x26#915; JS_fin CODE68200077 BOOLEAN_Symbol 1 BaliseJS_debut \x5bomega\x5d BaliseJS_fin Balise_debut [omega] Balise_fin FO_debut [inline]=&#969; FO_fin HTML_debut &#969; HTML_fin JS_debut \x26#969; JS_fin CODE68200150 BOOLEAN_Symbol 1 BaliseJS_debut \x5bOMEGA\x5d BaliseJS_fin Balise_debut [OMEGA] Balise_fin FO_debut [inline]=&#937; FO_fin HTML_debut &#937; HTML_fin JS_debut \x26#937; JS_fin CODE72092691 BOOLEAN_Symbol BaliseJS_debut \x5beta\x5d BaliseJS_fin Balise_debut [eta] Balise_fin FO_debut [inline]=&#951; FO_fin HTML_debut &#951; HTML_fin JS_debut \x26#951; JS_fin CODE72092805 BOOLEAN_Symbol BaliseJS_debut \x5bETA\x5d BaliseJS_fin Balise_debut [ETA] Balise_fin FO_debut [inline]=&#919; FO_fin HTML_debut &#919; HTML_fin JS_debut \x26#919; JS_fin BALISE_SOULIGNER BOOLEAN_Symbol BaliseJS_debut \x5bu\x5d BaliseJS_fin \x5b\x2fu\x5d Balise_debut [u] Balise_fin [/u] FO_debut text-decoration=underline FO_fin text-decoration=none HTML_debut <u> HTML_fin </u> JS_debut \x3cu\x3e JS_fin \x3c\x2fu\x3e CODE72092388 BOOLEAN_Symbol BaliseJS_debut \x5bpsi\x5d BaliseJS_fin Balise_debut [psi] Balise_fin FO_debut [inline]=&#968; FO_fin HTML_debut &#968; HTML_fin JS_debut \x26#968; JS_fin CODE72092541 BOOLEAN_Symbol BaliseJS_debut \x5bPSI\x5d BaliseJS_fin Balise_debut [PSI] Balise_fin FO_debut [inline]=&#936; FO_fin HTML_debut &#936; HTML_fin JS_debut \x26#936; JS_fin CODE140502511 BOOLEAN_Symbol 1 BaliseJS_debut \x5brho\x5d BaliseJS_fin Balise_debut [rho] Balise_fin FO_debut [inline]=&#961; FO_fin HTML_debut &#961; HTML_fin JS_debut \x26#961; JS_fin CODE140504636 BOOLEAN_Symbol 1 BaliseJS_debut \x5bRHO\x5d BaliseJS_fin Balise_debut [RHO] Balise_fin FO_debut [inline]=&#929; FO_fin HTML_debut &#929; HTML_fin JS_debut \x26#929; JS_fin CODE148292791 BOOLEAN_Symbol BaliseJS_debut \x5bepsilon\x5d BaliseJS_fin Balise_debut [epsilon] Balise_fin FO_debut [inline]=&#949; FO_fin HTML_debut &#949; HTML_fin JS_debut \x26#949; JS_fin CODE169976220 BOOLEAN_Symbol BaliseJS_debut \x5blig\x5d BaliseJS_fin Balise_debut [lig] Balise_fin FO_debut [inline]=&#x203A;&#160;&#160; FO_fin HTML_debut &#x203A;&#160;&#160; HTML_fin JS_debut \x26#x203A;\x26#160;\x26#160; JS_fin CODE148292899 BOOLEAN_Symbol BaliseJS_debut \x5bEPSILON\x5d BaliseJS_fin Balise_debut [EPSILON] Balise_fin FO_debut [inline]=&#917; FO_fin HTML_debut &#917; HTML_fin JS_debut \x26#917; JS_fin BALISETXT_SAUT BOOLEAN_Symbol BaliseJS_debut \x5bbr\x2f\x5d BaliseJS_fin Balise_debut [br/] Balise_fin FO_debut FO_fin HTML_debut <br/> HTML_fin JS_debut \x3cbr\x2f\x3e JS_fin 1501614035 Biological modeling of neural networks Biological modeling of neural networks anglais Gerstner Wulfram 111732 2208162464