### Abstract

The light-growth response of Phycomyces has been studied with the sum-of-sinusoids method of nonlinear system identification (Victor, J.D., and R.M. Shapley, 1980, Biophys. J., 29:459). This transient response of the sporangiophore has been treated as a black-box system with one input (logarithm of the light intensity, I) and one output (elongation rate). The light intensity was modulated so that log I, as a function of time, was a sum of sinusoids. The log-mean intensity was 10(-4) W m-2 and the wavelength was 477 nm. The first- and second-order frequency kernels, which represent the linear and nonlinear behavior of the system, were obtained from the Fourier transform of the response at the appropriate component and combination frequencies. Although the first-order kernel accounts for most of the response, there remains a significant nonlinearity beyond the logarithmic transducer presumed to occur at the input of the sensory transduction chain. From the analysis of the frequency kernels, we have derived a dynamic nonlinear model of the light-growth response system. The model consists of a nonlinear subsystem followed by a linear subsystem. The model parameters were estimated from a combined nonlinear least-squares fit to the first- and second-order frequency kernels.

Original language | English (US) |
---|---|

Pages (from-to) | 645-651 |

Number of pages | 7 |

Journal | Biophysical Journal |

Volume | 50 |

Issue number | 4 |

State | Published - Oct 1986 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Biophysics

### Cite this

*Biophysical Journal*,

*50*(4), 645-651.

**System analysis of Phycomyces light-growth response with sum-of-sinusoids test stimuli.** / Pratap, P.; Palit, A.; Lipson, E. D.

Research output: Contribution to journal › Article

*Biophysical Journal*, vol. 50, no. 4, pp. 645-651.

}

TY - JOUR

T1 - System analysis of Phycomyces light-growth response with sum-of-sinusoids test stimuli.

AU - Pratap, P.

AU - Palit, A.

AU - Lipson, E. D.

PY - 1986/10

Y1 - 1986/10

N2 - The light-growth response of Phycomyces has been studied with the sum-of-sinusoids method of nonlinear system identification (Victor, J.D., and R.M. Shapley, 1980, Biophys. J., 29:459). This transient response of the sporangiophore has been treated as a black-box system with one input (logarithm of the light intensity, I) and one output (elongation rate). The light intensity was modulated so that log I, as a function of time, was a sum of sinusoids. The log-mean intensity was 10(-4) W m-2 and the wavelength was 477 nm. The first- and second-order frequency kernels, which represent the linear and nonlinear behavior of the system, were obtained from the Fourier transform of the response at the appropriate component and combination frequencies. Although the first-order kernel accounts for most of the response, there remains a significant nonlinearity beyond the logarithmic transducer presumed to occur at the input of the sensory transduction chain. From the analysis of the frequency kernels, we have derived a dynamic nonlinear model of the light-growth response system. The model consists of a nonlinear subsystem followed by a linear subsystem. The model parameters were estimated from a combined nonlinear least-squares fit to the first- and second-order frequency kernels.

AB - The light-growth response of Phycomyces has been studied with the sum-of-sinusoids method of nonlinear system identification (Victor, J.D., and R.M. Shapley, 1980, Biophys. J., 29:459). This transient response of the sporangiophore has been treated as a black-box system with one input (logarithm of the light intensity, I) and one output (elongation rate). The light intensity was modulated so that log I, as a function of time, was a sum of sinusoids. The log-mean intensity was 10(-4) W m-2 and the wavelength was 477 nm. The first- and second-order frequency kernels, which represent the linear and nonlinear behavior of the system, were obtained from the Fourier transform of the response at the appropriate component and combination frequencies. Although the first-order kernel accounts for most of the response, there remains a significant nonlinearity beyond the logarithmic transducer presumed to occur at the input of the sensory transduction chain. From the analysis of the frequency kernels, we have derived a dynamic nonlinear model of the light-growth response system. The model consists of a nonlinear subsystem followed by a linear subsystem. The model parameters were estimated from a combined nonlinear least-squares fit to the first- and second-order frequency kernels.

UR - http://www.scopus.com/inward/record.url?scp=0022799053&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0022799053&partnerID=8YFLogxK

M3 - Article

C2 - 3779003

AN - SCOPUS:0022799053

VL - 50

SP - 645

EP - 651

JO - Biophysical Journal

JF - Biophysical Journal

SN - 0006-3495

IS - 4

ER -