  In this paper, we revisit the proof of the existence of a solution to the
semilinear heat equation in one space dimension with a at blowup profile,
already proved by Bricmont and Kupainen together with Herrero and
Vel\'{a}zquez. Though our approach relies on the well celebrated method, based
on the reduction of the problem to a finite dimensional one, then the use of a
topological shooting method to solve the latter, the novelty of our approach
lays in the use of a modulation technique to control the projection of the zero
eigenmode arising in the problem. Up to our knowledge, this is the first time
where modulation is used with this kind of profiles. We do hope that this
simplifies the argument.
