Through the development of an exact path integral for use in transferring information from
observations to a model of the observed system, the author provides a general framework …

Recent results demonstrate techniques for fully quantitative, statistical inference of the
dynamics of individual neurons under the Hodgkin–Huxley framework of voltage-gated …

We discuss the problem of determining unknown fixed parameters and unobserved state
variables in nonlinear models of a dynamical system using observed time series data from …

We present a method for using measurements of membrane voltage in individual neurons to
estimate the parameters and states of the voltage-gated ion channels underlying the …

Stabilized sequential quadratic programming (SQP) methods for nonlinear optimization are
designed to provide a sequence of iterates with fast local convergence even when the active …

We demonstrate the ability of statistical data assimilation (SDA) to identify the measurements
required for accurate state and parameter estimation in an epidemiological model for the …

With the goal of building a model of the HVC nucleus in the avian song system, we discuss
in detail a model of HVC _ RA RA projection neurons comprised of a somatic compartment …

In variational formulations of data assimilation, the estimation of parameters or initial state
values by a search for a minimum of a cost function can be hindered by the numerous local …

Representing the biophysics of neuronal dynamics and behavior offers a principled analysis-
by-synthesis approach toward understanding mechanisms of nervous system functions. We …

Within the context of data assimilation, we describe the use of chaotic synchronization to
overcome instabilities in the search space of the associated optimization problem and use …