Abstract
In this opening introductory paper, we discuss the possibility that
scale-invariant correlations may be a feature of biological and possibly
even social systems. We illustrate this possibility by reviewing recent
work at Boston University. Specifically, we focus first on the apparent
scale-invariant correlations in non-coding deoxyribonucleic acid (DNA)
and show that this feature can be used to distinguish coding and
non-coding DNA. We argue that the inflating a degassed lung is
characterized by a cascade of avalanches, as the airways successively
open, and that distribution functions characterizing this cascade are
scale invariant. Moving from the lung to the heart, we find that the
sequence of interbeat intervals is characterized by scale-invariant
correlations in health, but not in disease. Moving from individual
organs to entire organisms, we discuss recent experimental evidence that
the foraging behaviour of the wandering albatross is governed by a
scale-invariant Levy distribution. Finally, we enquire whether scale
invariance describes not only animal behaviour but also human behaviour.
To this end, we analyse data on urban growth patterns, on finance and on
economics. For all cases, we find empirical evidence of scaling
behaviour. We conclude by asking why such complex systems might display
scale invariance.
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