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J Appl Physiol 104: 459-468, 2008. First published December 13, 2007; doi:10.1152/japplphysiol.00877.2007
8750-7587/08 $8.00
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00877.2007v1
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Individualized performance prediction of sleep-deprived individuals with the two-process model

Srinivasan Rajaraman,1 Andrei V. Gribok,1 Nancy J. Wesensten,2 Thomas J. Balkin,2 and Jaques Reifman1

1Bioinformatics Cell, Telemedicine and Advanced Technology Research Center, U.S. Army Medical Research and Materiel Command, Fort Detrick; and 2Department of Behavioral Biology, Division of Psychiatry and Neuroscience, Walter Reed Army Institute of Research, Silver Spring, Maryland

Submitted 15 August 2007 ; accepted in final form 7 December 2007

We present a new method for developing individualized biomathematical models that predict performance impairment for individuals restricted to total sleep loss. The underlying formulation is based on the two-process model of sleep regulation, which has been extensively used to develop group-average models. However, in the proposed method, the parameters of the two-process model are systematically adjusted to account for an individual's uncertain initial state and unknown trait characteristics, resulting in individual-specific performance prediction models. The method establishes the initial estimates of the model parameters using a set of past performance observations, after which the parameters are adjusted as each new observation becomes available. Moreover, by transforming the nonlinear optimization problem of finding the best estimates of the two-process model parameters into a set of linear optimization problems, the proposed method yields unique parameter estimates. Two distinct data sets are used to evaluate the proposed method. Results of simulated data (with superimposed noise) show that the model parameters asymptotically converge to their true values and the model prediction accuracy improves as the number of performance observations increases and the amount of noise in the data decreases. Results of a laboratory study (82 h of total sleep loss), for three sleep-loss phenotypes, suggest that individualized models are consistently more accurate than group-average models, yielding as much as a threefold reduction in prediction errors. In addition, we show that the two-process model of sleep regulation is capable of representing performance data only when the proposed individualized model is used.

total sleep deprivation; individualized modeling; performance prediction; parameter estimation; regularization



Address for reprint requests and other correspondence: J. Reifman, Senior Research Scientist, Bioinformatics Cell, Telemedicine and Advanced Technology Research Center, U.S. Army Medical Research and Materiel Command, MCMR-ZB-T, 363 Miller Dr., Fort Detrick, MD 21702 (e-mail: jaques.reifman{at}us.army.mil)







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