  This paper aims to introduce a new parameterisation for the coupling Q in
interacting dark matter and dark energy models by connecting said models with
the Continuous Tower of Scalar Fields model. Based upon the existence of a dark
matter and a dark energy sectors in the Continuous Tower of Scalar Fields, a
simplification is considered for the evolution of a single scalar field from
the tower, validated in this paper. This allows for the results obtained with
the Continuous Tower of Scalar Fields model to match those of an interacting
dark matter - dark energy system, considering that the energy transferred from
one fluid to the other is given by the energy of the scalar fields that start
oscillating at a given time, rather than considering that the energy
transference depends on properties of the whole fluids that are interacting.
