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Simons MJ, Pellionisz AJ (2006) Genomics, morphogenesis and biophysics: Triangulation of Purkinje cell development. The Cerebellum. 5: 27–35

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The full .pdf of the published final version of the paper is available here.

Original 2006 fractal predictions of the paper are proven now (2012, see the entries in
green). At the time of writing this paper in 2006 with Dr. Simons (deceased January 25, 2012), the assumption that the fractal Purkinje neuron develops by means of "recursion" had been published for 17 years (see Pellionisz: Neural Geometry: Towards a Fractal Model of Neurons, 1989), the (imperfect) correlation of genome-size and the complexity of Purkinje cells predicted that the Purkinje neuron of the zebra fish (Danio Rerio), due to a genome-size of 1.56 Gbase should display a complexity significantly more elaborate than the Purkinje neuron of the Fugu (with 0.37 Gbase genome-size), but less complexity than the Purkinje cell of mouse (with 2.6 Gbase genome-size). Also, the complexity of the known Purkinje dendritic tree of the guine pig was placed in between the mouse and human (with 2.6 and 3.1 Gbase genome-size, respectively). In due course both the zebra fish Purkinje cell, as well as the genome-size of the guinea pig became know (see sources given by the URL of independent experimental workers) - answering the question marks of the paper, thus proving both predictions.


In view of the paper published after the original ENCODE-conclusion (2007), "The Principle of Recursive Genome Function"  (Pellionisz, 2008, see also YouTube) genome function interpreted as "fractal recursive iteration" provides a mathematical explanation for both the trend illustrated above, as well as a mathematically rock-solid explanation for notable exceptions. Thus, the so-called "C-value enigma" is no longer perplexing to anyone who is remotely familiar with the mathematics of "fractal recursive iteration". Other than the trivial biological explanations of cases of plyploidy (shown e.g. in onions), those familiar with recursive iterations appreciate that slight (even parametric) variations in the algorithm may cause significant alterations in how quickly (or slowly) convergent the iteration could become. The above leaves the options that 1) some workers may not accept that algorithmic explanation of genome function is necessary after the collapse of "Junk/Genes plus Central Dogmatic theory" after the ENCODE-2012 admission of top ~450 genome specialists, 2) some workers kindly put forward algorithms that better explain e.g. the above-documented trend of data than "fractal recursive iteration".