We compare the yields of Ti44 and Ni56 produced from post-processing the thermodynamic trajectories from three different core-collapse models -- a Cassiopeia A progenitor, a double shock hypernova progenitor, and a rotating 2D explosion -- with the yields from exponential and power-law trajectories. The peak temperatures and densities achieved in these core-collapse models span several of the distinct nucleosynthesis regions we identify, resulting in different trends in the Ti44 and Ni56 yields for different mass elements. The Ti44 and Ni56 mass fraction profiles from the exponential and power-law profiles generally explain the tendencies of the post-processed yields, depending on which regions are traversed by the model. We find integrated yields of Ti44 and Ni56 from the exponential and power-law trajectories are generally within a factor 2 or less of the post-process yields. We also analyze the influence of specific nuclear reactions on the Ti44 and Ni56 abundance evolution. Reactions that affect all yields globally are the 3a, p(e-,nu)n and n(e+,nubar)p. The rest of the reactions are ranked according to their degree of impact on the synthesis of Ti44. The primary ones include Ti44(a,p)V47, Ca40(a,g)Ti44, V45(p,g)Cr46, Ca40(a,p)Sc43, F17(a,p)Ne20, Na21(a,p)Mg24, Sc41(p,g)Ti42, Sc43(p,g)Ti44, Ti44(p,g)V45, and Ni57(p,g)Cu58, along with numerous weak reactions. Our analysis suggests that not all Ti44 need be produced in an a-rich freeze-out in core-collapse events, and that reaction rate equilibria in combination with timescale effects for the expansion profile may account for the paucity of Ti44 observed in supernovae remnants.
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