Review: On Mathematical Modeling of Circadian Rhythms, Performance, and Alertness

Journal of Biological Rhythms - Tập 22 Số 2 - Trang 91-102 - 2007
Elizabeth B. Klerman1, Melissa St. Hilaire2
1Division of Sleep Medicine, Brigham and Women's Hospital and Harvard Medical School, Boston, MA 02115, USA. [email protected]
2Division of Sleep Medicine, Brigham and Women's Hospital and Harvard Medical School, Boston, MA

Tóm tắt

Mathematical models of neurobehavioral performance and alertness have both basic science and practical applications. These models can be especially useful in predicting the effect of different sleep-wake schedules on human neurobehavioral objective performance and subjective alertness under many conditions. Several relevant models currently exist in the literature. In principle, the development and refinement of any mathematical model should be based on an explicit modeling methodology, such as the Box modeling paradigm, that formally defines the model structure and calculates the set of parameters. While most mathematical models of neurobehavioral performance and alertness include homeostatic, circadian, and sleep inertia components and their interactions, there may be fundamental differences in the equations included in these models. In part, these may be due to differences in the assumptions of the underlying physiology. Because the choice of model equations can have a dramatic influence on the results, it is necessary to consider these differences in assumptions when examining the results from a model and when comparing results across models. This article presents principles of mathematical modeling and examples of how such procedures can be applied to the development and refinement of mathematical models of neurobehavioral performance and alertness. This article also presents several methods of testing and comparing these models, suggests different uses of the models, and discusses problems with current models.

Từ khóa


Tài liệu tham khảo

10.1093/sleep/18.1.1

10.1136/oem.53.2.136

10.1177/0748730405277388

Borbély AA, 1982, Hum Neurobiol, 1, 195

10.1016/B978-0-12-438150-6.50018-2

10.1177/074873099129000975

10.1056/NEJM199009273231315

10.1056/NEJM199005033221801

Dean DA, 2004, Sleep, A77

Dijk DJ, 2004, Aviat Space Environ Med, 75, A119

Dinges DF, 2004, Aviat Space Environ Med, 75, A181

Federal Railroad Administration, 2006, The Railroad Fatigue Risk Management Program at the Federal Railroad Administration: past, present and future

10.1177/074873099129000867

10.1073/pnas.2036281100

10.1073/pnas.0604511103

Hursh SR, 2004, Aviat Space Environ Med, 75, A44

10.1016/j.jtbi.2005.08.015

10.1080/07420520500180371

Jewett ME, 1999, Sleep, 22, S94, 10.1093/sleep/22.2.171

10.1177/074873049901400608

10.1006/jtbi.1998.0667

10.1177/074873099129000920

10.1177/074873049400900310

10.1111/j.1365-2869.1999.00128.x

Kandelaars KJ, 2006, Aviat Space Environ Med, 77, 145

10.1177/074873040001500609

10.1152/jappl.1953.6.5.283

Klerman EB, 2003, Am J Physiol, 285, E1118

Klerman EB, 1996, Am J Physiol, 270, R271

10.1177/074873099129001073

10.1073/pnas.1132112100

10.1152/ajpregu.00197.2002

Mallis MM, 2004, Aviat Space Environ Med, 75, A4

Olofsen E., 2004, Aviat Space Environ Med, 75, A134

Priestley MB, 1981, Probability and Mathematical Statistics

Ritz-De Cecco A., 2002, Soc Res Biol Rhythms

Roach GD, 2004, Aviat Space Environ Med, 75, A61

Rodgers JJ, 2006, Sleep, 29, A65

10.1073/pnas.0401463101

Van Dongen HPA, 2004, Aviat Space Environ Med, 75, A15

Van Dongen Hpa, 2003, Sleep, 26, 249

10.1093/sleep/26.2.117

10.1016/S0076-6879(04)84010-2

10.1152/ajpregu.00205.2002

10.1093/sleep/27.3.374

Wyatt JK, 1999, Am J Physiol, 277, R1152

Thông tin
Thông tin xuất bản

Journal of Biological Rhythms

Tập 22 Số 2

91-102

Thông tin tác giả