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Interpretation of functional series expansions.
Annals of Biomedical Engineering
|January 1, 1991
Summary
This study applies Volterra and Wiener series to the human pupil control system, offering new insights into interpreting the resulting kernels for biological system identification. The research incrementally builds understanding of complex system components.
Area of Science:
- Neuroscience
- Systems Biology
- Biomedical Engineering
Background:
- Volterra and Wiener functional series are established tools for biological system identification.
- A significant gap exists in understanding how to interpret the kernels generated by these series expansions.
- The human pupil control system serves as a known model for complex biological regulation.
Purpose of the Study:
- To apply Volterra and Wiener series to a known biological system (human pupil control).
- To incrementally build insight into the interpretation of kernels derived from these series.
- To identify the components of the human pupil control system using functional series analysis.
Main Methods:
- Application of Volterra and Wiener functional series expansions.
- System identification of a known model of the human pupil control system.
- Incremental analysis of system components to understand kernel interpretation.
Main Results:
- Demonstrated application of functional series to a complex biological system.
- Developed a method for incrementally interpreting kernels by analyzing system components.
- Successfully identified components of the human pupil control system.
Conclusions:
- Functional series, specifically Volterra and Wiener, can be effectively applied to interpret biological system dynamics.
- Incremental analysis of system components provides a pathway to understanding complex kernel interpretations.
- This approach offers a valuable method for the identification and characterization of biological systems.