Principle of
Recursive Genome Function
by Andras Pellionisz
Article in
SpringerCerebellum d.d. June 2008
Responding to an open request, the principle of recursive
genome function(PRGF) is put forward, effectively reversing two axioms
of genomics as we used to know it, prior to the Encyclopedia of DNA
Elements Project (ENCODE).
The PRGF is based on the reversal of the interlocking
but demonstrably invalid central dogma and “Junk DNA”
conjectures that slowed down the advance of sound theory of genome
function, as far as information science is concerned, for half a century.
PRGF illustrates the utility of the class of recursive
algorithmsas the intrinsic mathematics of post-ENCODE genomics.
A specific recursive algorithmic approach to PRGF governing
the growth of the Purkinje neuron is sketched, building the structure
in a hierarchical manner, starting from primary genomic information
packets and in each recursion using auxiliary genomic information
packets, cancelled upon perusal.
The predictive power of the principle and its experimental
support are indicated. It is argued that genomics is no longer an
exceptional instance of the applicability of recursion throughout
the sciences.
So: the genome function is a fractal
function.
See: http://www.fractal.org/Julius-Ruis-Set.pdf
Authors - not involved in the study
- comment:
"Epigenetics is rapidly revising Darwin and opening whole new realms
in medical science and technology. Dr. Andras Pellionisz, who is Director
of Genome Informatics at Mitrionics in Silicon Valley, saw it all
coming decades ago. A scientific visionary, Pellionisz has made a
career of being ahead of his time. His profoundly influential work
on the mathematics of brain function inspired generations of leaders
in neuroscience, including the Churchlands. This time around, his
far-sighted work on fractal mechanisms in genetics has recently been
vindicated. Pellionisz drew attention early on to the fractal character
of dendritic trees. He then moved on to genetics, where he argued
that gene expression is not, as was dogmatically asserted, a one-way
street from DNA to organism, but rather a recursive process akin to
the generation of fractals. Today, in groundbreaking work on 'nanotrees,'
scientists have produced a spiral shape akin to the helical structure
of DNA -- an aperiodic crystal. Nanotrees are microscopic structures
which result from crystalline 'defects' in nanowires. Although these
developments are fast-breaking and the implications have yet to be
worked out, it seems clear enough that we have here a direct path
from the atomic symmetries of quantum theory thru simple fractal crystals
thru DNA and on up the ladder to fractal neurons. What's also clear
is that these developments open entire new vistas for R&D on medical
diagnosis, therapy and up to cure for a host of diseases and hologenomic
risk factors and disorders." [Brian Flanagan,
USA]
--- "PRGF of Pellionisz is helping not only his algorithmic recursive
approach to the genome (FractoGene), but puts ‘epigenetics’ into the
perspective of clearly defined novel axioms. The PostModern Age of
Genomics (starting with his PostGenetics), embraces many interpretations
and examples of ‘epigenetics’ and is synthesizing haphazard notions
into a solid scientific foundation of our era of HoloGenomics". [Alexandre
Akoulitchev, Fellow of the Royal Society of Medicine, Oxford University,
UK]
--- “Based on Pellionisz' 'Principle of Recursive Genome Function'
the puzzling history becomes understandable why the first wave of
suspecting fractality of DNA in the late 1980-s and early 1990-s by
his own fractal Purkinje neuron model (1989), and efforts by Drs.
Buldyrev, Stanley et al (1993), Flam 1994, Mantegna (1994) could not
break through. They violated not one, but two prevailing dogmas -
and could not provide a replacement for the dogmas of "junk DNA” and
“No feedback recursion". Now, with Pellionisz’ Principle, such unifying
synthesis is available to greatly facilitate progress. Therefore,
an avalanche of recursive algorithms is likely to ensue his breakthrough.
Fractals, however, are very computation-intensive, though both an
algorithmic approach, and especially the data-compression by fractals
are likely to significantly ease the burden of a brute-force approach
to cope with the dreaded DNA data-deluge." [Jules
Ruis, Director of EU Center of Excellence of Fractal Design, THE NETHERLANDS]
--- “The Principle accounts for and smoothly puts together hitherto
ill-fitting pieces in the old puzzle. The different picture, with
a new meaning, calls for a new name. With PRGF, the unresolved relationship
between mathematical information and biological formation is explained
by the repetitive action and consequent feedback of the genome where
any incremental DNA information refines a formative protein growth,
governed e.g. the algorithmic guidance of fractals. Reading The Principle,
Eugene Wigner’s reminder in the year of discovery of Operon regulation
(1961) rings loudly in our ears: ‘There is a contradiction between
the model of reproduction proposed by Crick and Watson, in which a
determined mechanism is transferring the characteristics to the descendants.
This model is also based on classic and not quantal concepts ... the
particulars of this model are not completely worked out (Eugene Wigner;
The Probability of the Existence of a Self-Reproducing Unit, In: The
Logic of Personal Knowledge, Routledge and Kenan Paul Ltd, London
1961 p. 231)’” Another early giant, John von Neumann , architect of
both serial and parallel computers in the 1940s-1950s would probably
look upon this progress with interest as well, since genome computing
is likely to bring about a synthesis of both architectures. [The
Michael Conrad Group for Bioinformation and Biocomputation Research;
E. Perjes, E. Pataki and I. Szentesi, HUNGARY]
