Lecture: Henry Abarbanel (San Diego): Statistical Data Assimilation for Establishing the Biophysical Properties of Neurons and Networks of Neurons
Henry Abarbanel (University of California, San Diego, USA):
"Statistical Data Assimilation for Establishing the Biophysical Properties of Neurons and Networks of Neurons"
We formulate a framework for transferring information from an observed complex nonlinear system to a physically based model of the processes underlying the observations. To evaluate the statistical path integral involved, we discuss in some detail the variational method of Laplace for evaluating the required integrals. We discuss how to determine how many observations are required to allow for accurate state estimations and predictions. We discuss how to proceed when too few measurements are available. We introduce a method to find the global minimum of the nonlinear function, the action, identified in the path integral. Examples are drawn from laboratory experiments in neurobiology and from simulations numerical weather prediction. Individual neurons are discussed, and if time, observations required to establish functional networks.
- Bernstein Center for Computational Neuroscience
- Werner Reichardt Centre for Integrative Neuroscience