Estimating parameters and predicting membrane voltages with conductance-based neuron models
Recent results demonstrate techniques for fully quantitative, statistical inference of the
dynamics of individual neurons under the Hodgkin–Huxley framework of voltage-gated …
dynamics of individual neurons under the Hodgkin–Huxley framework of voltage-gated …
Data assimilation with model error: Analytical and computational study for Sabra shell model
Understanding the impact of model error on data assimilation is an important practical topic.
Model error in the subgrid scale is commonly seen in various applications as a natural …
Model error in the subgrid scale is commonly seen in various applications as a natural …
Characterizing small-scale dynamics of navier-stokes turbulence with transverse lyapunov exponents: A data assimilation approach
Data assimilation (DA) of turbulence, which involves reconstructing small-scale turbulent
structures based on observational data from large-scale ones, is crucial not only for practical …
structures based on observational data from large-scale ones, is crucial not only for practical …
Identifying the body force from partial observations of a two-dimensional incompressible velocity field
Using limited observations of the velocity field of the two-dimensional Navier-Stokes
equations, we successfully reconstruct the steady body force that drives the flow. The …
equations, we successfully reconstruct the steady body force that drives the flow. The …
Identifying the body force from partial observations of a 2D incompressible velocity field
Using limited observations of the velocity field of the two-dimensional Navier-Stokes
equations, we successfully reconstruct the steady body force that drives the flow. The …
equations, we successfully reconstruct the steady body force that drives the flow. The …
State and parameter estimation using unconstrained optimization
J Schumann-Bischoff, U Parlitz - … Review E—Statistical, Nonlinear, and Soft …, 2011 - APS
We present an efficient method for estimating variables and parameters of a given system of
ordinary differential equations by adapting the model output to an observed time series from …
ordinary differential equations by adapting the model output to an observed time series from …
Synchronization based system identification of an extended excitable system
A basic state and parameter estimation scheme for an extended excitable system is
presented, where time series from a spatial grid of sampling points are used to drive and …
presented, where time series from a spatial grid of sampling points are used to drive and …
Local observability of state variables and parameters in nonlinear modeling quantified by delay reconstruction
Features of the Jacobian matrix of the delay coordinates map are exploited for quantifying
the robustness and reliability of state and parameter estimations for a given dynamical …
the robustness and reliability of state and parameter estimations for a given dynamical …
Data assimilation by delay‐coordinate nudging
A new nudging method for data assimilation, delay‐coordinate nudging, is presented. Delay‐
coordinate nudging makes explicit use of present and past observations in the formulation of …
coordinate nudging makes explicit use of present and past observations in the formulation of …
[图书][B] Synchronization and statistical methods for the data assimilation of HVc neuron models
M Kostuk - 2012 - search.proquest.com
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 …
overcome instabilities in the search space of the associated optimization problem and use …