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Lee, et al.
           inks (Inks 1 and 2) had a higher viscosity than the HPMC   The average yield stresses of the inks are displayed
           inks (Inks 3 – 5), which accounted for the slightly better   in  Figure  2C.  Yield stress determined the ability to
           foam stability explained in part (2) of Section 3.1. As XG   form a self-supporting structure . Higher yield stress
                                                                                          [33]
           allowed the liquid phase to form a hydrogel-like phase   allowed better self-supporting ability. The EW inks (Inks
           with increased viscosity, Ink 3 had the lowest viscosity   1 and 2) have higher yield stresses than the HPMC inks
           compared  to  the  ones  with  XG.  While  XG  generally   (Inks 3-5). This suggests that they can undergo higher
           increases the viscosity of the foam inks, similar to the   stress before plastic deformation. This allowed Inks 1
           comparison  between  XG  containing  HPMC  inks  (Inks   and 2 to form better self-supporting structures and higher
           4 and 5) and non-XG containing HPMC ink (Ink 3) the   leniency under the pressure used for the extrusion of the
           viscosity of Ink 2 was lower than that of Ink 1.    inks during printing. Ink 3 exhibited low yield stress <10
               All  foams  displayed  characteristics  of linear   Pa. This suggests that the foam from Ink 3 might not
           viscoelasticity  at low oscillation frequencies,  where   survive the pressure from extrusion printing. Ink 4 has
           storage modulus (G’) was higher than loss modulus (G”)   significantly higher yield stress than Ink 3 (P < 0.01).
           (Figure 2B). Having a G’ that was higher than the G”   XG  does  not  significantly  change  the  yield  stress  of
           in the linear viscoelastic range also suggests that the ink   egg-based  foam  inks  but  shows  a  significant  effect  in
           has the potential to form gel-like self-supporting structure   eggless foams. Inks 1 and 5 have significant errors due
           after it was printed . In the non-linear range, the G’ fell   to the poorer foam stability, which caused some foam to
                           [33]
           below  G”,  indicating  a  more  liquid-like  behavior.  The   collapse in later tests, changing the rheological properties
           foams tend to flow like liquids, and are easier to extrude.  slightly.
            A                                              B






















            C                                              D























           Figure 2. Rheological properties of the foam inks. (A) Flow ramp study of each foam ink. (B) Stress sweep of each ink in triplicates.
           (C) Yield stress of each foam ink. (D) Peak hold study of each ink simulating before, during, and after extrusion printing. *P ≤ 0.1, **P ≤ 0.01,
            ***P ≤ 0.001, ****P ≤ 0.0001 for the t-test results (n = 3).

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