The liquid centrifuge using a density-gradient method has certainly pl
ayed an essential role in almost every advance in molecular and cellul
ar biology. For the velocity-sedimentation method, when a rotor reache
s its full speed, the density-gradient solution establishes its stable
profile and particles of the sample begin to separate and to form the
ir respective bands, and to sediment toward the wall of rotor. While p
articles move outward in bands, some of the bands separate into more b
ands during sedimentation and sometimes the separated bands overtake a
nd cross each other depending on local properties such as density, dis
persion coefficient, particle size, etc. Then each band starts to sepa
rate and to sediment outward until reaching its respective isopycnic z
one. The locations where the separated bands cross each other or combi
ne together may be termed bifurcation point(s) in density-gradient cen
trifugation. The method of Poincare's bifurcation analysis together wi
th numerical simulation are used to analyze the effect of various loca
l properties on bifurcation point(s). It is found that a major factor
in having bifurcation(s) is the steepness of the density-gradient prof
ile. The other properties are minor. (C) 1997 Elsevier Science B.V.