Papers from MATH 856L

Circadian Rhythms

• Tyson (1999) provides a simple model of circadian rhythms.
• The Bell-Pedersen (2005) review offers some comparison of clocks in different organisms.
• The Dunlap (1999) review is older but has a bit of interesting phylogenetic info.
• Hardin (2005) gives a fairly recent review of the Drosophila clock.
• Young and Kay (2001) is another comparative review; it includes some info on plant clocks.
• Segel (1972) and Segel (1989) are a couple of classic papers related to class. Scaling is relevant in the 1972 paper.
• De Boer and Perelson (1994) is one where the substrate and enzymes are T-cells and antigen presenting sites.
• The Weiss (1997) paper discusses use of the Hill equation and the assumptions required. For instance, the Hill equation assumes that the first binding is slower than subsequent bindings. Weiss has lots more to say about it.
• Forger and Peskin (2003) gives an example of a circadian oscillator model that does not assume either Michaelis-Menten nor Hill type dynamics.
• Locke (2005) discusses a different method of automated parameter search than that used by Forger and Peskin (2003).
• Two papers by David Rand, Andrew Millar and others, plus an appendix for the 2004 paper.