Location of blow-up points in fully parabolic chemotaxis systems with spatially heterogeneous logistic source

We consider the fully parabolic, spatially heterogeneous chemotaxis-growth system \begin{align*} \begin{cases} u_t = Δu - \nabla\cdot(u\nabla v) + κ(x)u-μ(x)u^2, \ v_t = Δv - v + u \end{cases} \end{align*} in bounded domains $\mathrm{\Omega }\subset {\mathbb{R}}^2$ and show that the blow-up set is contained in the set of zeroes of $\mu$.