In this analysis, we bring together two research fields that have never been associated before: the clinical issue 'Quételet's body-mass index and longevity' and the comparative biological issue 'body-brain allometry'. Comparison of medical and biological data supports the view that body mass index is just a one-to-one mapping of the body-brain-energy balanceFa biological variable indicating that an individual maintains its systemic energy homeostasis and therefore is likely to perform well in the coming years. International Journal of Obesity (2010Obesity ( ) 34, 1349Obesity ( -1352 doi:10.1038/ijo.2010 published online 30 March 2010 Keywords: brain size; body size; body mass index; longevity One currently prevailing myth is that a large cerebral capacity should guarantee a long life. Here we suggest that there might indeed be a hidden link between brain size and longevity.Focussing on humans alone, clinicians ascertained that body mass is related to life span. [1][2][3] As long ago as 1835, the mathematician Adolphe Quételet analyzed human data sets with the intention of finding a statistical variable that would allow him to identify 'healthy' humans whom he considered to be of 'normal' stature. 4 He achieved a little success in this task in finding that a man or woman displaying a mass/height 2 ratio of B24 kg m À2 matched his image of being 'normal'. Later on, insurance companies used his concept to calculate the health risks for humans. Quételet's ratio is now referred to as the 'body mass index' (BMI). Recent studies confirm that a BMI of between 22.5 and 25.0 kg m À2 is a strong predictor for maximal longevity ( Figure 1c). 1,2 It is known that in mice, less insulin-like signalling throughout the body or just in the brain considerably extends the life span. 5,6 It is unknown, however, whether brain energy metabolism specifically can predict longevity.Taking the broader perspective of comparative biology, vertebrate brain metabolism has been found to be strictly proportional to body energy metabolism (Figure 1b). 7,8 As body metabolism increases, brain metabolism increases in a so-called 'isometric' manner, that is, it follows a 'linear' function. 'Isometric' functions number among a larger class of so-called 'allometric' functions that are often used in comparative biology, and all of which follow the power function Y ¼ kX a . Such allometric functions are used, for example, to describe the nonlinear relationship between brain mass and body mass, or the relationship between body metabolism and body mass among different species where the allometric exponents have been reported to be around 0.7.9,10 Allometric functions have also been reported for the nonlinear relationship between brain mass and life span.
11,12Remarkably, the relationship between brain energy metabolism (Y) and body energy metabolism (X) is particularly simple, as the exponent a has been found to be very close to 1.0. 8 As already mentioned, such special linear relationships are referred to as 'isometric' by biologists. In vertebrates ...