diff --git a/joss/paper.bib b/joss/paper.bib
index 211e8309..c93dca6f 100644
--- a/joss/paper.bib
+++ b/joss/paper.bib
@@ -51,12 +51,65 @@ @ARTICLE{SciPy:2020
 }
 
 @misc{BPX:2023,
-    title = {Battery Parameter eXchange},
-    author = {Korotkin, Ivan and Timms, Robert and Foster, Jamie Foster and
-              Dickinson, Edmund and Robinson, Martin},
-    publisher = {The Faraday Institution},
-    year = {2023},
-    journal = {GitHub repository},
-    url = {https://github.com/FaradayInstitution/BPX},
+  title = {Battery Parameter eXchange},
+  author = {Korotkin, Ivan and Timms, Robert and Foster, Jamie Foster and
+            Dickinson, Edmund and Robinson, Martin},
+  publisher = {The Faraday Institution},
+  year = {2023},
+  journal = {GitHub repository},
+  url = {https://github.com/FaradayInstitution/BPX},
 }
 
+@article{Doyle:1993,
+  author = {Doyle, Marc and Fuller, Thomas F. and Newman, John},
+  doi = {10.1149/1.2221597},
+  issn = {0013-4651},
+  journal = {Journal of The Electrochemical Society},
+  number = {6},
+  pages = {1526--1533},
+  title = {{Modeling of Galvanostatic Charge and Discharge of the Lithium/Polymer/Insertion Cell}},
+  volume = {140},
+  year = {1993}
+}
+
+@article{Fuller:1994,
+  doi = {10.1149/1.2054684},
+  url = {https://dx.doi.org/10.1149/1.2054684},
+  year = {1994},
+  month = {jan},
+  publisher = {The Electrochemical Society, Inc.},
+  volume = {141},
+  number = {1},
+  pages = {1},
+  author = {Thomas F. Fuller and Marc Doyle and John Newman},
+  title = {Simulation and Optimization of the Dual Lithium Ion Insertion Cell},
+  journal = {Journal of The Electrochemical Society},
+}
+
+@article{Planella:2022,
+  author = {Planella, Ferran Brosa and Ai, Weilong and Boyce, Adam M and Ghosh, Abir and Korotkin, Ivan and Sahu, Smita and Sulzer, Valentin and Timms, Robert and Tranter, Thomas G and Zyskin, Maxim and Cooper, Samuel J and Edge, Jacqueline S and Foster, Jamie M and Marinescu, Monica and Wu, Billy and Richardson, Giles},
+  doi = {10.1088/2516-1083/ac7d31},
+  issn = {2516-1083},
+  journal = {Progress in Energy},
+  month = {oct},
+  number = {4},
+  pages = {042003},
+  title = {{A Continuum of Physics-Based Lithium-Ion Battery Models Reviewed}},
+  url = {https://iopscience.iop.org/article/10.1088/2516-1083/ac7d31},
+  volume = {4},
+  year = {2022}
+}
+
+@article{Verbrugge:2017,
+  doi = {10.1149/2.0341708jes},
+  url = {https://dx.doi.org/10.1149/2.0341708jes},
+  year = {2017},
+  month = {may},
+  publisher = {The Electrochemical Society},
+  volume = {164},
+  number = {11},
+  pages = {E3243},
+  author = {Mark Verbrugge and Daniel Baker and Brian Koch and Xingcheng Xiao and Wentian Gu},
+  title = {Thermodynamic Model for Substitutional Materials: Application to Lithiated Graphite, Spinel Manganese Oxide, Iron Phosphate, and Layered Nickel-Manganese-Cobalt Oxide},
+  journal = {Journal of The Electrochemical Society},
+}
diff --git a/joss/paper.md b/joss/paper.md
index f72bba6c..946ec140 100644
--- a/joss/paper.md
+++ b/joss/paper.md
@@ -72,13 +72,22 @@ In general, battery models can be written in the form of a differential-algebrai
 \frac{\mathrm{d} \mathbf{x}}{\mathrm{d} t} = f(t,\mathbf{x},\mathbf{y},\mathbf{u}(t),\mathbf{\theta})
 \end{equation}
 \begin{equation}
-\mathbf{y}(t) = g(t,\mathbf{x},\mathbf{y},\mathbf{u}(t),\theta)
+\mathbf{y}(t) = g(t,\mathbf{x},\mathbf{y},\mathbf{u}(t),\mathbf{\theta})
 \end{equation}
 
-Here, $t$ is time, $x(t)$ are the (discretised) states, $y(t)$ are the outputs (for example the
-terminal voltage), $u(t)$ are the inputs (for example the applied current) and $\theta$ are the
+Here, $t$ is time, $\mathbf{x}(t)$ are the (discretised) states, $\mathbf{y}(t)$ are the outputs (for example the
+terminal voltage), $\mathbf{u}(t)$ are the inputs (e.g. the applied current) and $\mathbf{\theta}$ are the
 parameters.
 
+Common battery models include various types of equivalent circuit model (e.g. the Thévenin model),
+the Doyle–Fuller–Newman (DFN) model [@Doyle:1993; @Fuller:1994] based on porous electrode theory and its reduced-order
+variants including the single particle model (SPM) [@Planella:2022], as well as the multi-scale, multi-reaction
+(MSMR) model [@Verbrugge:2017].
+
+Simplified models that retain good prediction capabilities at a lower computational cost are widely used, for
+example within battery management systems, while physics-based models are required to understand the impact of
+design parameters on battery performance.
+
 # Examples
 
 ## Parameterisation