Abstract: The Type IIA flow was recently introduced by Fei-Phong-Picard-Zhang as a potential tool to solve the equations of the Type IIA string theory first investigated by Tseng and Yau in a 2014 article. This geometric flow evolves a closed positive primitive 3-form φ on a symplectic 6-manifold (M, ω), and its stationary points are solutions to the Type IIA equations. The pair (ω, φ) gives rise to a symplectic SU(3)-structure on M, namely an almost Kähler structure together with a nowhere vanishing complex volume form. In this talk, after reviewing the main properties of these structures, I will focus on symplectic SU(3)-structures having Hermitian Ricci tensor and on a class of symplectic SU(3)-structures generalizing this condition, and I will discuss their behavior under the Type IIA flow.