### Abstract

This communication presents a new method for evaluating phase response curves (PRCs). A PRC describes the phase shifts produced in an oscillator by stimuli applied at different initial phase-states of that oscillator. In the PRC bisection tests, we repeatedly cut in half the circular distribution of the initial phase-states of the oscillator when stimuli are given. Empirically, we locate that optimal diameter which best bisects the circular distribution of phase responses into arcs of relative phase advance and phase delay. We compute a D score reflecting the success of the best bisection. The null hypothesis of a random distribution of phase responses by initial phase is tested with a Monte Carlo procedure, which computes D_{r} scores from random combinations of phase shifts with initial phases, thus determining the probability, given the null hypothesis, that the observed D score was from a random distribution. The bisection procedure can be extended to examine whether stronger phase shifts are produced in one phase response curve than in contrasting curves. Also, the bisection procedure yields an estimate of the inflection point of the phase response curve. A method is given to estimate the power of the PRC bisection test.

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

Pages (from-to) | 1117-1123 |

Number of pages | 7 |

Journal | Chronobiology International |

Volume | 20 |

Issue number | 6 |

DOIs | |

State | Published - 2003 |

Externally published | Yes |

### Fingerprint

### Keywords

- Biological rhythm
- Phase
- PRC
- Response
- Synchronizer

### ASJC Scopus subject areas

- Agricultural and Biological Sciences (miscellaneous)
- Physiology
- Physiology (medical)

### Cite this

*Chronobiology International*,

*20*(6), 1117-1123. https://doi.org/10.1081/CBI-120025535

**PRC Bisection Tests.** / Kripke, Daniel F.; Clopton, Paul; Marler, Matthew R.; Youngstedt, Shawn; Elliott, Jeffrey A.

Research output: Contribution to journal › Article

*Chronobiology International*, vol. 20, no. 6, pp. 1117-1123. https://doi.org/10.1081/CBI-120025535

}

TY - JOUR

T1 - PRC Bisection Tests

AU - Kripke, Daniel F.

AU - Clopton, Paul

AU - Marler, Matthew R.

AU - Youngstedt, Shawn

AU - Elliott, Jeffrey A.

PY - 2003

Y1 - 2003

N2 - This communication presents a new method for evaluating phase response curves (PRCs). A PRC describes the phase shifts produced in an oscillator by stimuli applied at different initial phase-states of that oscillator. In the PRC bisection tests, we repeatedly cut in half the circular distribution of the initial phase-states of the oscillator when stimuli are given. Empirically, we locate that optimal diameter which best bisects the circular distribution of phase responses into arcs of relative phase advance and phase delay. We compute a D score reflecting the success of the best bisection. The null hypothesis of a random distribution of phase responses by initial phase is tested with a Monte Carlo procedure, which computes Dr scores from random combinations of phase shifts with initial phases, thus determining the probability, given the null hypothesis, that the observed D score was from a random distribution. The bisection procedure can be extended to examine whether stronger phase shifts are produced in one phase response curve than in contrasting curves. Also, the bisection procedure yields an estimate of the inflection point of the phase response curve. A method is given to estimate the power of the PRC bisection test.

AB - This communication presents a new method for evaluating phase response curves (PRCs). A PRC describes the phase shifts produced in an oscillator by stimuli applied at different initial phase-states of that oscillator. In the PRC bisection tests, we repeatedly cut in half the circular distribution of the initial phase-states of the oscillator when stimuli are given. Empirically, we locate that optimal diameter which best bisects the circular distribution of phase responses into arcs of relative phase advance and phase delay. We compute a D score reflecting the success of the best bisection. The null hypothesis of a random distribution of phase responses by initial phase is tested with a Monte Carlo procedure, which computes Dr scores from random combinations of phase shifts with initial phases, thus determining the probability, given the null hypothesis, that the observed D score was from a random distribution. The bisection procedure can be extended to examine whether stronger phase shifts are produced in one phase response curve than in contrasting curves. Also, the bisection procedure yields an estimate of the inflection point of the phase response curve. A method is given to estimate the power of the PRC bisection test.

KW - Biological rhythm

KW - Phase

KW - PRC

KW - Response

KW - Synchronizer

UR - http://www.scopus.com/inward/record.url?scp=0345600038&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0345600038&partnerID=8YFLogxK

U2 - 10.1081/CBI-120025535

DO - 10.1081/CBI-120025535

M3 - Article

C2 - 14680147

AN - SCOPUS:0345600038

VL - 20

SP - 1117

EP - 1123

JO - Annual Review of Chronopharmacology

JF - Annual Review of Chronopharmacology

SN - 0743-9539

IS - 6

ER -