Conditions of double-stranded DNA precipitation by the polyamines sper
midine and spermine have been determined experimentally and compared t
o theoretical predictions. The influence of the concentrations of DNA
and added monovalent salt, and of the DNA length has been investigated
in a systematic manner. Three regimes of DNA concentrations are obser
ved. We clarify the dependence of these regimes on the monovalent salt
concentration and on the DNA length. Our observations make possible a
rationalization of the experimental results reported in the literatur
e. A comparison of the precipitation conditions of different kinds of
polyelectrolytes suggests a general process. Our experimental data are
compared to the ''ion-bridging'' model based on short-range electrost
atic attractions. By starting from the spinodal equation, predicted by
this model, and using the limiting form of Manning's fractions of con
densed counterions, analytical expressions of the precipitation condit
ions have been found in the three regimes. Experimental and theoretica
l results are in good agreement.