REFERENCES
- Achermann P, Borbély AA. (2003). Mathematical models of sleep regulation. Front. Biosci. 8:683–693.
- Åkerstedt T, Gillberg M. (1990). Subjective and objective sleepiness in the active individual. Int. J. Neurosci. 52:29–37.
- Åkerstedt T, Ingre M, Kecklund G, Folkard S, Axelsson J. (2008a). Accounting for partial sleep deprivation and cumulative sleepiness in the Three-Process Model of alertness regulation. Chronobiol. Int. 25:309–319.
- Åkerstedt T, Kecklund G, Axelsson J. (2008b). Effects of context on sleepiness self-ratings during repeated partial sleep deprivation. Chronobiol. Int. 25:271–278.
- Ansari D, Dhital B, Siong SC. (2006). Parametric effects of numerical distance on the intraparietal sulcus during passive viewing of rapid numerosity changes. Brain Res. 1067:181–188.
- Beersma DGM, Gordijn MCM. (2007). Circadian control of the sleep-wake cycle. Physiol. Behav. 90:190–195.
- Borbély AA. (1982). A two process model of sleep regulation. Hum. Neurobiol. 1:195–204.
- Bratzke D, Rolke B, Steinborn MB, Ulrich R. (2009). The effect of 40 hours constant wakefulness on task switching efficiency. J. Sleep Res. 18:167–172.
- Bratzke D, Rolke B, Ulrich R, Peters M. (2007). Central slowing during the night. Psychol. Sci. 18:456–461.
- Butterworth B. (2000). The mathematical brain. London: McMillian.
- Cajochen C, Kräuchi K, Wirz-Justice A. (2003). Role of melatonin in the regulation of human circadian rhythms and sleep. J. Neuroendocrinol. 15:432–437.
- Carrier J, Monk TH. (2000). Circadian rhythms of performance: new trends. Chronobiol. Int. 17:719–732.
- Cousineau D. (2007). Confidence intervals in within-subject designs: a simpler solution to Loftus and Masson's method. Tutorials Quant. Methods Psychol. 1:42–45.
- Daan S, Beersma DGM, Borbely AA. (1984). Timing of human sleep: recovery process gated by a circadian pacemaker. Am. J. Physiol. 246:161–183.
- Dehaene S. (1997). The number sense. How the mind creates mathematics. Oxford, UK: Oxford University Press.
- Dehaene S, Dehaene-Lambertz G, Cohen L. (1998). Abstract representations of numbers in the animal and human brain. Trends Neurosci. 21:355–361.
- Dijk DJ, Duffy JF, Czeisler CA. (1992). Circadian and sleep/wake dependent aspects of subjective alertness and cognitive performance. J. Sleep Res. 1:112–117.
- Drummond SP, Paulus MP, Tapert SF. (2006). Effects of two nights sleep deprivation and two nights recovery sleep on response inhibition. J. Sleep Res. 15:261–265.
- Duguay D, Cermakian N. (2009). The crosstalk between physiology and circadian clock proteins. Chronobiol. Int. 26:1479–1513.
- Edwards B, Waterhouse J, Reilly T. (2008). Circadian rhythms and their association with body temperature and time awake when performance a simple task with the dominant and non-dominant hand. Chronobiol. Int. 26:115–132.
- Harrison Y, Horne JA. (2000). The impact of sleep deprivation on decision making: a review. J. Exp. Psychol. Appl. 6:236–249.
- Harrison Y, Jones K, Waterhouse J. (2007). The influence of time awake and circadian rhythm upon performance on a frontal lobe task. Neuropsychologia 45:1966–1972.
- Holyoak KJ. (1977). The form of analog size information in memory. Cogn. Psychol. 9:31–51.
- Horne JA, Anderson NR., Wilkinson RT. (1983). Effects of sleep deprivation on signal detection measures of vigilance: implications for sleep function. Sleep 6:347–358.
- Hut RA. (2007). CircWave. Version 1.4. Groningen, The Netherlands. Available at: http://www.euclock.org/modules.php?name=Content&pa=showpage&pid=20
- Jasper I, Häußler A, Baur B, Marquardt C, Hermsdörfer J. (2009a). Circadian variations in the kinematics of hardwriting and grip strength. Chronobiol. Int. 26:576–594.
- Jasper I, Häußler A, Marquardt C, Hermsdörfer J. (2009b). Circadian rhythm in handwriting. J. Sleep Res. 18:264–271.
- Johnson MP, Duffy JF, Dijk DJ, Ronda JM, Dyal CM, Czeisler CA. (1992). Short-term memory, alertness and performance: a reappraisal of their relationship to body temperature. J. Sleep Res. 1:24–29.
- Killgore WD, Balkin TJ, Wesensten NJ. (2006). Impaired decision making following 49 h of sleep deprivation. J. Sleep Res. 15:7–13.
- Kristofferson MW. (1972). Effects of practice on character classification performance. Can. J. Psychol. 26:54–60.
- Langner R, Steinborn MB, Chatterjee A, Sturm W, Willmes K. (2010). Mental fatigue and temporal preparation in simple-reaction time performance. Acta Psychol. 133:64–72.
- Leth-Steensen C, Marley AAJ. (2000). A model of response time effects in symbolic comparison. Psychol. Rev. 107:62–100.
- Lim J, Dinges DF. (2008). Sleep deprivation and vigilant attention. Ann. N. Y. Acad. Sci. 1129:305–322.
- Link S. (1990). Modeling imageless thought: the relative judgment theory of numerical comparisons. J. Math. Psychol. 34:2–41.
- Miccoli L, Versace F, Koterle S, Cavallero C. (2008). Comparing sleep-loss and sleep inertia: lapses make the difference. Chronobiol. Int. 25:725–744.
- Monk TH, Carrier J. (1997). Speed of mental processing in the middle of the night. Sleep 20:399–401.
- Moyer RS, Landauer TK. (1967). Time required for judgements of numerical inequality. Nature 215:1519–1520.
- Nilsson JP, Soderstrom M, Karlsson AU, Lekander M, Åkerstedt T, Lindroth NE, Axelsson J. (2005). Less effective executive functioning after one night's sleep deprivation. J. Sleep Res. 14:1–6.
- Oriet C, Tombu M, Jolicoeur P. (2005). Symbolic distance affects two processing loci in the number comparison task. Mem. Cognit. 33:913–926.
- Poltrock SE. (1989). A random-walk model of digit comparison. J. Math. Psychol. 33:131–162.
- Portaluppi F, Touitou Y, Smolensky M. (2008). Ethical and methodological standards for laboratory and medical biological rhythm research. Chronobiol. Int. 25:999–1016.
- Roenneberg T, Wirz-Justice A, Merrow M. (2003). Life between clocks: daily temporal patterns of human chronotypes. J. Biol. Rhythms 18:80–90.
- Rogers NL, Dorrian J, Dinges DF. (2003). Sleep, waking and neurobehavioural performance. Front. Biosci. 8:1056–1067.
- Sagaspe P, Sanchez-Ortuno M, Charles A, Taillard J, Valtat C, Bioulac B, Philip P. (2006). Effects of sleep deprivation on Color-Word, Emotional, and Specific Stroop interference and on self-reported anxiety. Brain Cogn. 60:76–87.
- Sanders AF. (1998). Elements of human performance. Mahwah, NJ: Lawrence Erlbaum.
- Schmidt C, Collette F, Cajochen C, Peigneux P. (2007). A time to think: circadian rhythms in human cognition. Cogn. Neuropsychol. 24:755–789.
- Sigman M, Dehaene S. (2005). Parsing a cognitive task: a characterization of the mind's bottleneck. PLoS Biol. 3:334–349.
- Sternberg S. (1998). Discovering mental processing stages: the method of additive factors. In Scarborough D, Sternberg S. (eds.). An invitation of to cognitive science: methods, models, and conceptual issues. Vol. 4. Cambridge, MA: MIT Press, pp. 703–863.
- Weber JM, Schwander JC, Unger I, Meier D. (1997). A direct ultrasensitive RIA for the determination of melatonin in human saliva: comparison with serum levels. Sleep Res. 26:757.
- Wilkinson RT. (1990). Response-stimulus interval in choice serial reaction time: interaction with sleep deprivation, choice, and practice. Q. J. Exp. Psychol. 42A:401–423.