  We present a generic model of (non-destructive) quantum measurement. Being
formulated within reversible quantum mechanics, the model illustrates a
mechanism of a measurement process --- a transition of the measured system to
an eigenstate of the measured observable. The model consists of a two-level
system $\mu$ interacting with a larger system $A$, consisting of smaller
subsystems. The interaction is modelled as a scattering process. Restricting
the states of $A$ to product states leads to a bifurcation process: In the
limit of a large system $A$, the initial states of $A$ that are efficient in
leading to a final state are divided into two separated subsets. For each of
these subsets, $\mu$ ends up in one of the eigenstates of the measured
observable. The probabilities obtained in this branching confirm the Born rule.
