Basic properties of populations generated in the frame of one-parameter discrete model of genetic diversity

Previously, when discussing the properties of one parameter discrete model of genetic diversity (M.Yu. Shchelkanov et al, J. Biomol. Struct. Dyn. 15, 887-894 (1998)), we took into account Hamming distance: distribution only b etween precursor and arbitrary descendant. sequences. However, really there are sets of sequence populations produced during amplification process. In the presented work we have investigated Hamming distance distributions bet ween sequences from different descendant sets produced in the frame of one parameter discrete model. Two basic descendant generation operators (so cal led amplifiers) are introduced: 1) the last generation amplifier,(L) over c ap, which produces descendants with precursor elimination; 2) all generatio ns amplifer, (G) over cap, which produces descendants without precursor eli mination. Generalization of one-parameter discrete model for the case when precursor sequences do not coincide are carried out. Using this generalizat ion we investigate the distribution of Hamming distances between L - and (G ) over cap -generated sequences. Basic properties of (L) over cap and (G) o ver cap operators, (L) over cap/(G) over cap -choice alternative problem ha ve been discussed. Obtained results have common theoretical significance, b ut they are more suitable for high level genetic diversity process (for exa mple, HIV diversity).