. Author manuscript; available in PMC: 2009 Oct 21.

Published in final edited form as: Math Biosci Eng. 2009 Oct;6(4):873–887. doi: 10.3934/mbe.2009.6.873

Table 2.

Constants that are universal to all simulations.

Constant	Value	Reference
r	r = 2/3	Overfeeding study: [27]
e^*	e = 0.83 - women and e = 0.82 - men.	Estimate derived in: [3]
c_l, c_f	c_l = 955.384, c_f = 7165,	Estimate obtained from: [3]
a_M, a_F, p_M, p_F, y_M, y_F	a_M = 293, a_F = 248, a_M = 0.4330, p_F = 0.4356, y_M = 5.92, y_F = 5.09	Statistically determined in: [28]
α₁ men	α₁ = 0.54; slope between data points: (28.4kg, 67.7kg) (23.6kg,65.1kg)	Weight loss study: [37]
α₁ women	α1 = 0.324; slope between data points: (44.2kg,49.6kg) and (37.7kg,47.5kg)	Weight loss study: [11]
f	f = 0.30	Estimate from: [19]
β	β = 1.14: overfeeding, β = 0.075: caloric restriction	Estimates from: [27, 46]
a^*	a = 0.334, 0.059 for a 500 kcal/day reduction to baseline for 3 months, 6 months a = 0.27, 0.053 for a very low calorie diet; 3 month and 6 month	Percentages calculated from data in [29]

The parameter e is required only for overfeeding simulations and the parameter a is nonzero for caloric restriction simulations.