Post-meiotic apozygotic combinatory process in sugar beet ( Beta vulgaris L.)

The effect of colchicine on phenotypic classes ratio of the enzyme locus controlling alcohol dehydrogenase (ADH1) in sugar beet agamospermous progenies was analysed. The obtained data are indicative of the thing that colchicine causes polytenization of homological chromosome regions carrying marker locus Adh1 alleles. Theoretical calculation of the formation of egg cells frequencies and those of further development of cells entering embryogenesis without fertilization, also the diminution calculation of excessive chromosome regions carrying marker locus alleles have been made. The coincidence of theoretical and experimental ratios of phenotypic classes indicates the existence of post-meiotic apozygotic combinatory process in plants.


INTRODUCTION
To explain the variability in agamospermous plant progenies, including sugar beet, a hypothesis based on the supposition about chromosome polyteny in cells of plant capable of setting seeds by agamospermy and about the diminution of excessive chromatids from a cell that has entered embryogenesis was suggested [1,2]. This hypothesis is based on the investigation results of agamospermy in sugar beet [3][4][5][6] and the known literary data on polyteny and embryogenesis [7][8][9][10][11][12][13].
It is supposed that chromosome polyteny in plant generative organs is differential and various chromosome sites have a different endoreduplication degree [1,2]. Diminution of excessive chromatids or copies of allelic chromatid regions is independent and equiprobable, and it is only the one pair of allelic chromatid regions attached to the nuclear membrane or nuclear matrix that remains in a cell that has entered embryogenesis [1,2]. A pair of allelic chromatid regions carrying marker locus alleles and preserved in this cell determines the genotype of a developing embryo. An equal diminution probability of excessive chromatid regions copies leads to the combinatory process which determines the ratio of phenotypic classes in an agamospermous progeny. As a result of this combinatory process the ratio of phenotypic classes in an agamospermous progeny is determined by the ratio of number of chromatid threads carrying marker alleles in a mother plant [1,2].
Alongside with polyteny, polyploidy and, to be more precise, mixoploidy expressed as an admixture of tetraploid cells [14] among the bulk of diploid ones, may be a reason for agamospermous plant progenies variability. If a tetraploid mother cell of megaspores enters meiosis, then it gives rise to a diploid megaspore from which, during further divisions, an embryosac, having diploid cells capable of entering embryogenesis without a male gametes [14], is forming.
The phenotypic ratio in agamospermous progenies is determined by combinatory processes different in their nature, such as chromosome divergence in meiosis and also loss of excessive copies of chromatid regions by a cell that has entered embryogenesis. Both these processes may proceed under the agamospermous progeny formation of one and the same plant. Therefore, comparison of each of these processes contribution to the revealed polymorphism is of great concern. In connection with the above-formulated, the aim of the present study was searching for an experimental proof of the proposed theoretical model and accepted approximations.

MATERIAL AND METHODS
Agamospermous progenies of two pollen-sterile plants from the collection of Plant Populational Genetics Laboratory, ICG SB RAS, were involved in the study. Before germination, seeds of this progenies were treated with 0.1% colchicine solution under the conditions that affected the genome but did not lead to plant polyploidization (during 6 hours at 18 0 C in the dark); then they were washed in flowing water, germinated in the thermostat and planted in the hydroponic greenhouse. Control plants were grown from untreated seeds. The developed roots were subjected to vernalization аnd, after vernalization, plants were grown in the ground. During flowering, plants having only non-functional pollen, belonging to ms0 and ms1 according to F.W. Owen classification [15] were left in the field, fertile and semi-fertile ones being eliminated. Flowering were made according to the standard methods described earlier [16,17].
Theoretical calculations of phenotypic frequencies were arranged according to J.B.C. Haldane method based on the use of hypergeometrical scheme of probability distribution to describe combinatory processes [18].

RESULTS AND DISCUSSION
Polymorphism on alcohol dehydrogenase was revealed in the analyzed agamospermous progenies, each of progenies having three phenotypic classes ( Figure 1; Table 1 The symmetricity of the revealed ratio of phenotypes stands out (Table   1). It is indicative of the thing that, in these progenies formation, there was no pollination process usually accompanied by manifestation of selfincompatibility genes that lead to distortion of ratios of phenotypic classes [19]. It is well known that, in polyploid cell meiosis, genetic segregation depends on the degree of marker-gene remoteness from the centromere.
Segregation proceeds on chromosome type under close linkage of marker-gene with the centromere and the ratio of gametes, e.g. in the teraploid, is equal to 1:4:1 [18]. At this ratio, the share of heterozygotes is 0.668, which is higher than that under chromatid segregation 3:8:3 typical of loci of a tetraploid which are distant from the centromere at more than 50% of the cross-over [18]. In the tetraploid eight chromatids belonging to four chromosomes participate in chromatid segregation and, in this case, the share of heterozygotes is only 0.572.
In form No1-Contr, the phenotypic ratio corresponds to both models 3:8:3 and 1 An unusual phenotypic ratio in No2-Colch progeny can be accounted for by the thing that polymorphysm in the agamospermous progeny may be conditioned by several successive processes. In more detail these processes can be presented the following way: e.g. Tetraploid cells having genotype FFSS, respectively, were present in the bulk of diploid mother megaspore cells of plant chromosome region can be designated with the notion of "polygenotype" [20] which characterizes locus allelic composition, number of chromosomes and chromatids carrying each of alleles. In the considered situation, it is possible to designate the marker-locus polygenotype in heteroallelic cells as F 2 S 2 .
According to the earlier-suggested hypothesis, the embryogenesis-entered cell releases itself of the excess of whole chromatid copies or its certain regions [1,2]. It is supposed that diminution proceeds according to probability laws that allow us to calculate the genotypic ratio in a progeny. It is necessary to point out one more approximation.
The earlier-obtained numerous facts of the existence of abnormal and unexpected phenotypic classes in agamospermous progenies allow us to hypothesize that cross-over processes and exchange of chromatid regions of polytenized regions occur in an embryogenesis-entering cell before its first division. This means that a chromatid region belonging to one chromosome may be replaced by the analogous chromatid region belonging to other chromosome.
Thus, we suppose that the same exchange of chromatid regions as during the first meiotic division occurs in an embryogenesis -entering cell at the moment of its first division. Also the specificity of recombination process in sugar beet that drastically differs it from many plant species and consists in, e.g. extreme localization of recombination points [21], indicates such a possibility.
Considering the accepted approximations, it is possible to calculate the frequencies of genotypes originating from diploid egg cells FS that had polygenotype Investigations of the whole number of species demonstrated the thing that colchicine causes inherited changes of many morphological and physiological traits without doubling of chromosome number [22][23][24][25][26]. The authors believe that the revealed changes are mutations. However, the drawback of these good, on the whole, studies -in our viewpoint -is that the control of chromosome number was not accompanied by measurement of DNA quantity in cells, i.e., in these researches, the possibility of the presence of polyteny that causes an increase of DNA content in the cell was not checked. However, with the example of enzyme locus Gpi2, earlier we showed the thing that it is the increase of gene dosage with a high frequency leads to a change of its alleles [20] expression. This fact allows us to believe that, in treated plants, cochicine initiates a multi-step process whose first step is polytenization of different parts of genome leading to a change of expression of genes located in them. Such an outlook makes us closer to the explanation of colchicine effect which, in many authors standpoint, so far, remains unclear [22][23][24][25][26]. The data we obtained herein and earlier [20], and those known from literature [27] point out the thing that the polytenization ability of homological chromosome regions is different. This allows us to believe that different degree of polyteny is one more type of genetic polymorphism. Besides, chromosome polytenization can be considered as an important mechanism of genome transformation and evolution.