Scaling Laws in Nature

• Statistical Mechanics of Complex Networks
  
  

• Scaling laws and persistence in human brain activity

• Neuronal long-range temporal correlations and avalanche dynamics are correlated with behavioral scaling laws

• Scaling laws in the mammalian neocortex: does form provide clues to function?

• A Gentle Introduction to Scaling Laws in Biological Systems 

• A Connectomic Hypothesis for the Hominization of the Brain

• Critical integration in neural and cognitive systems: Beyond power-law scaling as the hallmark of soft assembly

• Critical Truths about Power Laws

• Scale invariance in natural and artificial collective systems: a review

• Toward an Instance Theory of Automatization 

• “It’s like there’s this universal scaling law of cortical maturation.” https://www.spectrumnews.org/news/new-studies-reveal-how-autism-might-alter-synapse-formation-pruning/    New studies reveal how autism might alter synapse formation, pruning 

More on criticality:

• Beggs, J. M. (2008). The criticality hypothesis: how local cortical networks might optimize information processing. Philos. Trans. A Math. Phys. Eng. Sci.366, 329–343. doi: 10.1098/rsta.2007.2092

• Shew, W. L., and Plenz, D. (2013). The functional benefits of criticality in the cortex. Neuroscientist19, 88–100. doi: 10.1177/1073858412445487

• Shew, W. L., Yang, H., Petermann, T., Roy, R., and Plenz, D. (2009). Neuronal avalanches imply maximum dynamic range in cortical networks at criticality. J. Neurosci.29, 15595–15600. doi: 10.1523/JNEUROSCI.3864-09.2009

• Shew, W. L., Yang, H., Yu, S., Roy, R., and Plenz, D. (2011). Information capacity and transmission are maximized in balanced cortical networks with neuronal avalanches. J. Neurosci.31, 55–63. doi: 10.1523/JNEUROSCI.4637-10.2011