# The identification of nonlinear biological systems: Volterra kernel approaches

@article{Korenberg2007TheIO, title={The identification of nonlinear biological systems: Volterra kernel approaches}, author={M. Korenberg and I. Hunter}, journal={Annals of Biomedical Engineering}, year={2007}, volume={24}, pages={250-268} }

Representation, identification, and modeling are investigated for nonlinear biomedical systems. We begin by considering the conditions under which a nonlinear system can be represented or accurately approximated by a Volterra series (or functional expansion). Next, we examine system identification through estimating the kernels in a Volterra functional expansion approximation for the system. A recent kernel estimation technique that has proved to be effective in a number of biomedical… CONTINUE READING

83 Citations

A Unifying View of Wiener and Volterra Theory and Polynomial Kernel Regression

- Mathematics, Medicine
- 2006

- 103
- PDF

Volterra-series-based nonlinear system modeling and its engineering applications: A state-of-the-art review

- Mathematics
- 2017

- 50

Nonlinear Stochastic System Identification of Skin Using Volterra Kernels

- Mathematics, Medicine
- 2012

- 10

Practical identification of functional expansions of nonlinear systems submitted to non-Gaussian inputs

- Mathematics, Medicine
- 2006

- 8

Control-Relevant System Identification using Nonlinear Volterra and Volterra-Laguerre Models

- Mathematics
- 2006

- 26
- PDF

Wavelet basis expansion-based Volterra kernel function identification through multilevel excitations

- Mathematics
- 2014

- 16

Volterra Series Approximation of a Class of Nonlinear Dynamical Systems Using the Adomian Decomposition Method

- Mathematics
- 2013

- 19

Understanding neuronal systems in movement control using Wiener/Volterra kernels: A dominant feature analysis

- Medicine, Computer Science
- 2012

- 7

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 130 REFERENCES

Identification of nonlinear biological systems using laguerre expansions of kernels

- Mathematics, Medicine
- 2006

- 345
- Highly Influential
- PDF

The identification of nonlinear biological systems: Wiener and Hammerstein cascade models

- Mathematics, Computer Science
- 2004

- 640

Kernel method for nonlinear analysis: identification of a biological control system

- Mathematics
- 1975

- 67
- Highly Influential

Parallel cascade identification and kernel estimation for nonlinear systems

- Mathematics, Medicine
- 2006

- 156

Exact orthogonal kernel estimation from finite data records: Extending Wiener's identification of nonlinear systems

- Mathematics, Medicine
- 2006

- 54
- Highly Influential

Input-output parametric models for non-linear systems Part II: stochastic non-linear systems

- Mathematics
- 1985

- 1,137
- PDF