### Abstract

Many biological processes in the body are governed by the circadian pacemaker located in the hypothalamus. We model the effect of light on this human circadian pacemaker based on two interacting processes: the internal clock (circadian rhythm) and the internal sleep drive (sleep homeostat). The biological processes are modeled mathematically using systems of coupled non-linear differential equations. Differences between individuals are expressed by model

parameters. Especially a person’s natural day length (tau) has a great influence on the model’s flow. Mathematical techniques, such as control theory, can be

used to analyze the model. Doing so, we will be able to use them to design smart lighting control systems that automatically adjust the light to achieve certain targets, such as jetlag compensation or mood improvement.

parameters. Especially a person’s natural day length (tau) has a great influence on the model’s flow. Mathematical techniques, such as control theory, can be

used to analyze the model. Doing so, we will be able to use them to design smart lighting control systems that automatically adjust the light to achieve certain targets, such as jetlag compensation or mood improvement.

Translated title of the contribution | Wiskundige modellen simuleren het effect van licht op het menselijke circadiane ritme accuraat |
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Original language | English |

Publication status | Published - 14 Nov 2017 |

Event | ILIAD 2017 - Eindhoven University of Technology, Eindhoven, Netherlands Duration: 14 Nov 2017 → 14 Nov 2017 http://iliad-2017.eventbrite.com/ |

### Conference

Conference | ILIAD 2017 |
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Abbreviated title | ILIAD2017 |

Country | Netherlands |

City | Eindhoven |

Period | 14/11/17 → 14/11/17 |

Internet address |

### Keywords

- Circadian rhythm
- Mathematical modeling
- Light
- Parameter variation

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## Prizes

## 3rd prize poster contest Iliad 2017

Bonarius, Jochem H. (Recipient), 14 Nov 2017

Prize: Other › Career, activity or publication related prizes (lifetime, best paper, poster etc.) › Scientific

## Cite this

Bonarius, J. H., & Linnartz, J-PMG. (2017).

*Mathematical models accurately simulate the effect of light on the human circadian rhythm: how can mathematical models of the effects of light on humans help us provide better lighting solutions?*. Poster session presented at ILIAD 2017, Eindhoven, Netherlands.