  One possible evolutionary scenario of the dense gluon system produced in an
ultrarelativistic heavy ion collision is the bottom-up thermalization scenario,
which describes the dynamics of the system shortly after the collision via the
decay of originally produced hard gluons to soft ones through QCD branching
processes. The soft gluons form a thermal bath that subsequently reaches
thermalization and/or equilibration. There is a scaling solution to the
bottom-up problem that interpolates between its early stage, which has a highly
anisotropic gluon distribution, and its final stage of equilibration which
occurs later. Such a solution depends on a single parameter, the so called
momentum asymmetry parameter $\delta$. With this scaling solution, the
bottom-up scenario gets modified and the evolving parton system, referred to as
the $m$'bottom-up parton system throughout this paper, is described by this
modification. The time evolution of the system in the original bottom-up ansatz
is driven by the saturation scale, $Q_{s}$. However, for the $m$'bottom-up we
generalize the ansatz of the evolution by introducing two additional momentum
scales, which give a thermalization time and temperature of the soft gluon bath
somewhat different from those obtained when the $m$'bottom-up matches onto the
final stage of the original bottom-up scenario.
