  Anomalous event-by-event fluctuations of the relative yields of neutral
(K$^0_s$) and charged kaon (K$^\pm$) have been predicted to yield a signature
for the formation of Disoriented Chiral Condensate (DCC) in relativistic
heavy-ion collisions. In this work, we model the production and decay of DCCs
in the context of heavy-ion collisions at the Large Hadron Collider, and
estimate the sensitivity of large acceptance detectors, such as the ALICE
detector, towards the identification of such anomalous decays. Our study is
based on the robust statistical observable, $\nu_{\rm dyn}$, known for its
sensitivity to dynamical fluctuations. We first present simulations without
DCCs, based on the HIJING and AMPT models, in order to establish an approximate
reference for the magnitude of $\nu_{\rm dyn}({\rm K}^{\pm},{\rm K}^{0}_{s})$
and its centrality evolution in Pb--Pb collisions at the TeV energy scale. We
next introduce simple phenomenological models of K$^0_s$ vs. K$^\pm$
event-by-event yield fluctuations, which we use to study the feasibility and
sensitivity of detection of the production of DCCs in heavy-ion collisions.
Although the precision of models such as HIJING and AMPT limit their use as
absolute references and thus render anomalous fluctuations difficult to define
precisely, our studies demonstrate that the magnitude of $\nu_{\rm dyn}({\rm
K}^{\pm},{\rm K}^{0}_{s})$ is in fact very sensitive to the presence of small
admixture of DCCs in normal non-DCC events. Consequently, while large values of
$\nu_{\rm dyn}({\rm K}^{\pm},{\rm K}^{0}_{s})$ may not be sufficient to
identify the existence of DCCs, nonetheless they constitute a first and
necessary condition to signal their possible production in heavy-ion
collisions.
