INTERNATIONAL INSTITUTE OF BIOPHYSICS
Conference on Biophotons 1999
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THE IMPLICATION OF THE STATISTIC ANALYSIS TO UNDERSTANDING THE MORPHOGENSIS

V.A. Scobeyeva and V. G. Cherdantsev

Evolution Theory department, Faculty of Biology, Lomonosov Moscow State University, Moscow 119899, Russia

Almost a hundred years ago Alexander Gurwitsch stated that the normal individual variability of morphogenesis can be treated as a "Naturexperiment" (Gurwitsch's term) which is in many respects has an advantage over laboratory experiments. Our statistical analysis of the individual morphological variability of gastrulation in a few amphibian species has confirmed that the variability of embryonic structures in the process of their formation is of a higher order of magnitude than the variability of the same structures at definitive stages of their development. The normal course of morphogenesis is subject to fluctuations which the order of magnitude is compatible with that of an experimental intervention. This suggests an identity between the normal development and its regulation.

We have revealed the following general properties of the morphogenetic individual variability. With the origination of a new morphological structure (for example, the blastopore lip of a gastrula) the characters of this structure arise and vary independently. The statistical analysis shows their origination to be arising as a result of random fluctuations that go beyond the scope of the initial system of morphogenetic bonds. At the next phase there appears a new coherent system of morphogenetic bonds which corresponds to the development of a new structure as a whole, this leading not to the decrease but to the increase in the amount of variability. The characters of a new structure are preponderant both in their variability, as compared to any other characters of the embryo at a given developmental stage, and in the rates of their change. If they were the definitive phenotypic characters, this would have been possible only provided that any given character of a new structure had a feeble correlation with the other morphological characters of a gastrula. The converse is true when considering structures in the process of their formation. This is the case when these are correlative changes in newly arising and rapidly developing characters of a new structure that make a preponderant contribution into the variability of a system as a whole. This provides a reason to make a distinction between characters of a new structure fluctuating at random and its directional change on the basis of the origination of closed loops of a positive feedback between unidirectional fluctuations of characters. It follows that the increase in the variability scale provides an opportunity of the reduction of variables which are neccessary for understanding the general trends of morphogenetic processes, this permitting to separate the basic variables of morphogenesis. With the completion of a new structure formation the variability in its characters is subject to decrease, this being connected to the partition of a system into new blocks of characters with an attenuation of a mutual interaction. Then inside these blocks there repeats the described scenario of the variability dynamics.

The statistics laws of the dynamics of morphogenesis are coincident with a statistics of any non-linear processes capable of self-organization thus providing a "conclusive evidence" of a recruitment of self-organization into the "information loaded" processes in the biological morphogenesis.
 

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