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src/posts/polyteos10-kernel/index.md

@@ -9,11 +9,10 @@ summary: 'An issue with the `PolyTEOS10_bsq` kernel has been identified, where i
 
 **Update to `PolyTEOS10_bsq` kernel**
 
-In recent days we’ve come across a bug in an application kernel of `parcels`. The `PolyTEOS10_bsq` kernel is used to calculate the density of seawater from the temperature and salinity fields. The kernel is based on equation (13) from 
+In recent days we’ve come across a bug in an application kernel of `parcels`. The `PolyTEOS10_bsq` kernel is used to calculate the density of seawater from the temperature and salinity fields. The kernel is based on equation (13) from
 [Roquet et al. (2014)](https://doi.org/10.1016/j.ocemod.2015.04.002) where the density $\rho$ is determined from the summation of a vertical reference profile $r_0$ and a residual function or density anomaly $r$. That is, $\rho(S,T,z) = r_0(z) + r(S,T,z)$.
 
-
-Up until now the kernel only computed the density anomaly, and was missing the vertical reference profile. At the ocean surface this isn’t a problem, as $r_0(z=0) = 0$ and so the computed density was correct. However, $r_0(z)>0$ below the ocean surface, and at relatively deep depths, this value can be significant. For example, at 100 m depth this value is 0.46443 kg/m$^3$ and at 500 m depth this value is  2.31175 kg/m$^3$, see the figure below.
+Up until now the kernel only computed the density anomaly, and was missing the vertical reference profile. At the ocean surface this isn’t a problem, as $r_0(z=0) = 0$ and so the computed density was correct. However, $r_0(z)>0$ below the ocean surface, and at relatively deep depths, this value can be significant. For example, at 100 m depth this value is 0.46443 kg/m$^3$ and at 500 m depth this value is 2.31175 kg/m$^3$, see the figure below.
 
 ![Vertical reference profile as a function of depth](/posts/polyteos10-kernel/depth_vs_r0.png)
 
@@ -23,8 +22,8 @@ Below we’ve compiled a list of several papers that may be impacted, but we urg
 
 **Impacted papers**
 
-[Global mass of buoyant marine plastics dominated by large long-lived debris, *Nature Geoscience* (2023)](https://doi.org/10.1038/s41561-023-01216-0)
-[Modeling carbon export mediated by biofouled microplastics in the Mediterranean Sea, *Limnology and Oceanography* (2023)](https://doi.org/10.1002/lno.12330)
-[Modelling submerged biofouled microplastics and their vertical trajectories, *Biogeosciences* (2022)](https://doi.org/10.5194/bg-19-2211-2022)
-[Influence of Particle Size and Fragmentation on Large-Scale Microplastic Transport in the Mediterranean Sea, *Environmental Science & Technology* (2022)](https://doi.org/10.1021/acs.est.2c03363)
-[Global Modeled Sinking Characteristics of Biofouled Microplastic, *JGR Oceans* (2021)](https://doi.org/10.1029/2020JC017098)
+[Global mass of buoyant marine plastics dominated by large long-lived debris, _Nature Geoscience_ (2023)](https://doi.org/10.1038/s41561-023-01216-0)
+[Modeling carbon export mediated by biofouled microplastics in the Mediterranean Sea, _Limnology and Oceanography_ (2023)](https://doi.org/10.1002/lno.12330)
+[Modelling submerged biofouled microplastics and their vertical trajectories, _Biogeosciences_ (2022)](https://doi.org/10.5194/bg-19-2211-2022)
+[Influence of Particle Size and Fragmentation on Large-Scale Microplastic Transport in the Mediterranean Sea, _Environmental Science & Technology_ (2022)](https://doi.org/10.1021/acs.est.2c03363)
+[Global Modeled Sinking Characteristics of Biofouled Microplastic, _JGR Oceans_ (2021)](https://doi.org/10.1029/2020JC017098)