  In a recent paper (J. Differential Equations, 310: 506-554, 2022), the
authors proved the existence of martingale solutions to a stochastic version of
the classical Patlak-Keller-Segel system in 1 dimension (1D), driven by
time-homogeneous spatial Wiener processes. The current paper is a continuation
and consists of two results about the stochastic Patlak-Keller-Segel system in
1D. First, we establish some additional regularity results of the solutions.
The additional regularity is, e.g. important for its numerical modeling. Then,
as a second result, we obtain the pathwise uniqueness of the solutions to the
stochastic Patlak-Keller-Segel system in 1D. Finally, we conclude the paper
with the existence of the strong solution to this system in 1D.
