Reference number : GC-2017-Q1-01925, amendment number : , agreement type : G, recipient legal name : Campbell, Sue Ann (University of Waterloo), recipient country : CA, recipient province : nan, recipient city : Ontario, recipient postal code : nan, program name english : Discovery Grants Program - Individual, program name french : Programme de subventions à la découverte - individuelles, program purpose english : The brain is made up of cells called neurons which communicate with each other through electrical signals. The signal produced by a single neuron is a periodic train of pulses, with properties that depend on the characteristics of the individual neuron. Groups of neurons form networks which perform the functions of the brain such as storing and retrieving memories. The electrical activity of each network is generally also periodic, with properties that may change depending on the function the network performs and the state of the individual, for example sleeping vs waking. This proposal comprises studies of mathematical models ranging from detailed models of particular neurons which incorporate experimental data, to models of specific brain regions and models incorporating properties common to many brain networks. The research will use mathematics to understand how networks transform the periodic activity in a single neuron into the collective electrical activity of the network, often called a brain rhythm. One particular focus will be on how the time delay in the communication between neurons affects the activity that is produced. The results of this work may help understand how normal brain rhythms, such as those that occur during sleep, and destructive brain rhythms, such as epilepsy, occur., program purpose french : The brain is made up of cells called neurons which communicate with each other through electrical signals. The signal produced by a single neuron is a periodic train of pulses, with properties that depend on the characteristics of the individual neuron. Groups of neurons form networks which perform the functions of the brain such as storing and retrieving memories. The electrical activity of each network is generally also periodic, with properties that may change depending on the function the network performs and the state of the individual, for example sleeping vs waking. This proposal comprises studies of mathematical models ranging from detailed models of particular neurons which incorporate experimental data, to models of specific brain regions and models incorporating properties common to many brain networks. The research will use mathematics to understand how networks transform the periodic activity in a single neuron into the collective electrical activity of the network, often called a brain rhythm. One particular focus will be on how the time delay in the communication between neurons affects the activity that is produced. The results of this work may help understand how normal brain rhythms, such as those that occur during sleep, and destructive brain rhythms, such as epilepsy, occur., agreement title english : Dynamical Systems Tools and the Study of Neural Oscillations, agreement title french : Dynamical Systems Tools and the Study of Neural Oscillations, agreement number : RGPIN, agreement value : 185000.0, agreement start date : 2017-05-10, agreement end date : nan, description english : nan, description french : nan, expected results english : nan, expected results french : nan, additional information english : Grant or Award spanning more than one fiscal year. (2017-2018 to 2022-2023), additional information french : Subvention ou bourse octroyée s'appliquant à plus d'un exercice financier. (2017-2018 à 2022-2023), owner organization : nserc-crsng, owner organization title : Natural Sciences and Engineering Research Council of Canada | Conseil de recherches en sciences naturelles et en génie du Canada