  We consider a one-dimensional Brownian motion with diffusion coefficient $D$
in the presence of $n$ partially absorbing traps with intensity $\beta$,
separated by a distance $L$ and evenly spaced around the initial position of
the particle. We study the transport properties of the process conditioned to
survive up to time $t$. We find that the surviving particle first diffuses
normally, before it encounters the traps, then undergoes a period of transient
anomalous diffusion, after which it reaches a final diffusive regime. The
asymptotic regime is governed by an effective diffusion coefficient
$D_\text{eff}$, which is induced by the trapping environment and is typically
different from the original one. We show that when the number of traps is
\emph{finite}, the environment enhances diffusion and induces an effective
diffusion coefficient that is systematically equal to $D_\text{eff}=2D$,
independently of the number of the traps, the trapping intensity $\beta$ and
the distance $L$. On the contrary, when the number of traps is \emph{infinite},
we find that the environment inhibits diffusion with an effective diffusion
coefficient that depends on the traps intensity $\beta$ and the distance $L$
through a non-trivial scaling function $D_\text{eff}=D \mathcal{F}(\beta L/D)$,
for which we obtain a closed-form. Moreover, we provide a rejection-free
algorithm to generate surviving trajectories by deriving an effective Langevin
equation with an effective repulsive potential induced by the traps. Finally,
we extend our results to other trapping environments.
