Dendritic molecules are highly-branched arborescent structures and hav
e found applications as chemical reagents, lubricants, contrast media
for magnetic resonance, and others. Dendritic nucleic acids could be e
xtremely useful for the development of nucleic acid diagnostics as sig
nal amplification tools and potentially as drug (antisense) delivery v
ehicles. Further, due to the relatively large size of nucleic acid mol
ecules, nucleic acid dendrimers could be readily labeled with numerous
fluorescent compounds and/or protein moieties with limited steric hin
drance and/or quenching. Herein, we present a physical-mathematical mo
del of a new class of dendrimers, constructed entirely from unique nuc
leic acid monomers that are designed such that sequential hybridizatio
n adds successive layers of monomer in a geometric expansion of both m
ass and free single-stranded sequences, called arms, at the surface. T
he specially designed monomer is a heterodimer of two single-stranded
nucleic acid oligomers possessing a central double-stranded waist and
four single-stranded arms for binding. Assembly of a dendrimer is init
iated from a single monomer and proceeds in layers, the first layer co
mprising four monomers, which provides 12 single-stranded arms. Thus,
the second layer adds 12 monomers resulting in 36 singled-stranded arm
s. After addition of the 6th layer, the dendrimer is comprised of 1457
monomers, of which 972 reside in the 6th layer, which possesses 2916
single-stranded arms. The accompanying mathematical description of a d
endrimer's growth is generic. A natural consequence and limiting condi
tion of the growth process we describe is a saturated solution of nucl
eic acid, which is, in effect, a ''nucleic acid membrane''. (C) 1997 A
cademic Press Limited.