Classical models in biology (lecture)

  • Teaching

    Details

    Faculty Faculty of Science and Medicine
    Domain Biology
    Code BL.6002
    Languages English
    Type of lesson Lecture
    Level Master
    Semester SP-2019

    Schedules and rooms

    Summary schedule friday 10:15 - 12:00, weekly, PER 07 1.309
    Contact's hours 28

    Teaching

    Responsibles
    Teachers
    Description Le cours commence par une analyse approfondie des modèles classiques en dynamique des populations. Ensuite, le modèle de Bernoulli pour la variole est abordé mathématiquement; il est complété par les modèles épidémiologiques simples. La mathématique des modèles du chémostat, des populations avec structure d'âge et de Luria-Delbrück est expliquée. Le cours finit par l'analyse de divers modèles décrivant les interactions entre espèces. Le cours introduit les concepts d'équations différentielles et aux différences finies, d'équilibre, de stabilité, d'espace de phase, de stabilité locale, de valeurs et vecteurs propres, et de modèles déterministes et stochastiques.

    The course starts with an in-depth analysis of classical models of population dynamics. It continues with the mathematical treatment of Bernoulli model of smallpox disease, and extends to epidemiological models. The mathematics of chemostat, age-structured, and Luria-Delbrück models are explained. The course ends with study of various models for systems of interacting species. The course introduces the concepts of differential and finite difference equations, equilibrium, stability, phase space, local stability analysis, eigenvalues and eigenvectors, and deterministic and stochastic models.
    Training objectives Les étudiants seront capables de comprendre d'une manière critique les modèles classiques en biologie. Ils sauront lire et analyser les équations et évaluer leurs hypothèses de base, leurs porté et limitations. Ils auront acquis les connaissances nécessaires pour élaborer des modèles simples et pour communiquer avec les mathématiciens lors du développement de modèles plus complexes.

    Students will be able to critacally understand classical models in biology. They will be able to read and analyze equations, and to evaluate their assumptions, scope and limitations. They will acquire the necessary skills to elaborate simple models and to communicate and interact with mathematicians in the development of more complex models.
    Comments Remplace MA.6002
    Softskills
    No
    Off field
    No
    BeNeFri
    Yes
    Mobility
    Yes
    UniPop
    No
  • Dates and rooms
    Date Hour Place
    22.02.2019 10:15 - 12:00 PER 07 , Room 1.309
    01.03.2019 10:15 - 12:00 PER 07 , Room 1.309
    08.03.2019 10:15 - 12:00 PER 07 , Room 1.309
    15.03.2019 10:15 - 12:00 PER 07 , Room 1.309
    22.03.2019 10:15 - 12:00 PER 07 , Room 1.309
    29.03.2019 10:15 - 12:00 PER 07 , Room 1.309
    05.04.2019 10:15 - 12:00 PER 07 , Room 1.309
    12.04.2019 10:15 - 12:00 PER 07 , Room 1.309
    03.05.2019 10:15 - 12:00 PER 07 , Room 1.309
    10.05.2019 10:15 - 12:00 PER 07 , Room 1.309
    17.05.2019 10:15 - 12:00 PER 07 , Room 1.309
    24.05.2019 10:15 - 12:00 PER 07 , Room 1.309
  • Assessments methods

    Examen écrit - SP-2019, Session d'été 2019

    Assessments methods By rating
    Descriptions of Exams Written (45 min.) or oral (20 min.) exam
  • Assignment
    Valid for the following curricula:
    Advanced biomedical Sciences 30
    Version: 2018_1/V_01
    Advanced Biomedical Sciences (BMS-A), minor 30 (from AS2018 on) > Advanced Biomedical Sciences, minor 30, compulsory courses (from AS2018 on)

    Ens. compl. en Sciences
    Version: ens_compl_sciences
    Paquet indépendant des branches > Specialized courses in Biology (Master level)

    MSc in Bioinformatics and Computational Biology [MA] 90
    Version: 2018_1/V_01
    MSc in Bioinformatics and computational biology, courses > MSc in Bioinformatics and Computational Biology, compulsory courses (form AS2018 on)

    MSc-BL, option Animal Molecular Life Sciences [MA] 90
    Version: 2018_1/V_01
    MSc in Biology, option Animal Molecular Life Sciences, lectures and seminars (from AS2018 on) > MSc in Biology, Animal Molecular Life Sciences, elective courses (from AS2017 on)

    MSc-BL, option Ecology and Evolution [MA] 90
    Version: 2018_1/V_01
    MSc in Biology, option Ecology and Evolution, lectures and seminars (from AS2018 on) > MSc in Biology, option Ecology and Evolution, elective courses (from AS2018 on)

    MSc-BL, option Plant and Microbial Sciences [MA] 90
    Version: 2018_1/V_01
    MSc in Biology, option Plant and Microbial Sciences, lectures and seminars (from AS2018 on) > MSc in Biology, option Plant and Microbial Sciences, elective courses (from AS2018 on)