\begin{thebibliography}{15}
\expandafter\ifx\csname natexlab\endcsname\relax\def\natexlab#1{#1}\fi
\providecommand{\url}[1]{\texttt{#1}}
\providecommand{\href}[2]{#2}
\providecommand{\path}[1]{#1}
\providecommand{\DOIprefix}{doi:}
\providecommand{\ArXivprefix}{arXiv:}
\providecommand{\URLprefix}{URL: }
\providecommand{\Pubmedprefix}{pmid:}
\providecommand{\doi}[1]{\href{http://dx.doi.org/#1}{\path{#1}}}
\providecommand{\Pubmed}[1]{\href{pmid:#1}{\path{#1}}}
\providecommand{\bibinfo}[2]{#2}
\ifx\xfnm\relax \def\xfnm[#1]{\unskip,\space#1}\fi
%Type = Article
\bibitem[{Apell(1989)}]{apell_electrogenic_1989}
\bibinfo{author}{Apell, H.J.}, \bibinfo{year}{1989}.
\newblock \bibinfo{title}{Electrogenic properties of the {Na},{K} pump}.
\newblock \bibinfo{journal}{The Journal of Membrane Biology}
  \bibinfo{volume}{110}, \bibinfo{pages}{103--114}.
%Type = Book
\bibitem[{Borutzky(2010)}]{borutzky_bond_2010}
\bibinfo{author}{Borutzky, W.}, \bibinfo{year}{2010}.
\newblock \bibinfo{title}{Bond {Graph} {Methodology}}.
\newblock \bibinfo{publisher}{Springer}.
\newblock \URLprefix
  \url{http://link.springer.com.ezp.lib.unimelb.edu.au/book/10.1007%2F978-1-84882-882-7}.
%Type = Article
\bibitem[{Faber and Rudy(2000)}]{faber_action_2000}
\bibinfo{author}{Faber, G.M.}, \bibinfo{author}{Rudy, Y.},
  \bibinfo{year}{2000}.
\newblock \bibinfo{title}{Action {Potential} and {Contractility} {Changes} in
  [{Na}+]i {Overloaded} {Cardiac} {Myocytes}: {A} {Simulation} {Study}}.
\newblock \bibinfo{journal}{Biophysical Journal} \bibinfo{volume}{78},
  \bibinfo{pages}{2392--2404}.
%Type = Article
\bibitem[{Friedrich et~al.(1996)Friedrich, Bamberg and
  Nagel}]{friedrich_na+k+-atpase_1996}
\bibinfo{author}{Friedrich, T.}, \bibinfo{author}{Bamberg, E.},
  \bibinfo{author}{Nagel, G.}, \bibinfo{year}{1996}.
\newblock \bibinfo{title}{Na+,{K}(+)-{ATPase} pump currents in giant excised
  patches activated by an {ATP} concentration jump}.
\newblock \bibinfo{journal}{Biophysical Journal} \bibinfo{volume}{71},
  \bibinfo{pages}{2486--2500}.
%Type = Article
\bibitem[{Gawthrop and Crampin(2014)}]{gawthrop_energy-based_2014}
\bibinfo{author}{Gawthrop, P.J.}, \bibinfo{author}{Crampin, E.J.},
  \bibinfo{year}{2014}.
\newblock \bibinfo{title}{Energy-based analysis of biochemical cycles using
  bond graphs}.
\newblock \bibinfo{journal}{Proceedings of the Royal Society of London A:
  Mathematical, Physical and Engineering Sciences} \bibinfo{volume}{470},
  \bibinfo{pages}{20140459}.
%Type = Article
\bibitem[{Gawthrop et~al.(2015)Gawthrop, Cursons and
  Crampin}]{gawthrop_hierarchical_2015}
\bibinfo{author}{Gawthrop, P.J.}, \bibinfo{author}{Cursons, J.},
  \bibinfo{author}{Crampin, E.J.}, \bibinfo{year}{2015}.
\newblock \bibinfo{title}{Hierarchical bond graph modelling of biochemical
  networks}.
\newblock \bibinfo{journal}{Proc. R. Soc. A} \bibinfo{volume}{471},
  \bibinfo{pages}{20150642}.
%Type = Article
\bibitem[{Guynn and Veech(1973)}]{guynn_equilibrium_1973}
\bibinfo{author}{Guynn, R.W.}, \bibinfo{author}{Veech, R.L.},
  \bibinfo{year}{1973}.
\newblock \bibinfo{title}{The {Equilibrium} {Constants} of the {Adenosine}
  {Triphosphate} {Hydrolysis} and the {Adenosine} {Triphosphate}-{Citrate}
  {Lyase} {Reactions}}.
\newblock \bibinfo{journal}{Journal of Biological Chemistry}
  \bibinfo{volume}{248}, \bibinfo{pages}{6966--6972}.
%Type = Article
\bibitem[{Hansen et~al.(2002)Hansen, Buhagiar, Kong, Clarke, Gray and
  Rasmussen}]{hansen_dependence_2002}
\bibinfo{author}{Hansen, P.S.}, \bibinfo{author}{Buhagiar, K.A.},
  \bibinfo{author}{Kong, B.Y.}, \bibinfo{author}{Clarke, R.J.},
  \bibinfo{author}{Gray, D.F.}, \bibinfo{author}{Rasmussen, H.H.},
  \bibinfo{year}{2002}.
\newblock \bibinfo{title}{Dependence of {Na}+-{K}+ pump current-voltage
  relationship on intracellular {Na}+, {K}+, and {Cs}+ in rabbit cardiac
  myocytes}.
\newblock \bibinfo{journal}{American Journal of Physiology - Cell Physiology}
  \bibinfo{volume}{283}, \bibinfo{pages}{C1511--C1521}.
%Type = Article
\bibitem[{Lloyd et~al.(2004)Lloyd, Halstead and Nielsen}]{lloyd_cellml:_2004}
\bibinfo{author}{Lloyd, C.M.}, \bibinfo{author}{Halstead, M.D.B.},
  \bibinfo{author}{Nielsen, P.F.}, \bibinfo{year}{2004}.
\newblock \bibinfo{title}{{CellML}: its future, present and past}.
\newblock \bibinfo{journal}{Progress in Biophysics and Molecular Biology}
  \bibinfo{volume}{85}, \bibinfo{pages}{433--450}.
%Type = Article
\bibitem[{Luo and Rudy(1994)}]{luo_dynamic_1994}
\bibinfo{author}{Luo, C.H.}, \bibinfo{author}{Rudy, Y.}, \bibinfo{year}{1994}.
\newblock \bibinfo{title}{A dynamic model of the cardiac ventricular action
  potential. {I}. {Simulations} of ionic currents and concentration changes.}
\newblock \bibinfo{journal}{Circulation Research} \bibinfo{volume}{74},
  \bibinfo{pages}{1071--1096}.
%Type = Article
\bibitem[{Nakao and Gadsby(1989)}]{nakao_[na]_1989}
\bibinfo{author}{Nakao, M.}, \bibinfo{author}{Gadsby, D.C.},
  \bibinfo{year}{1989}.
\newblock \bibinfo{title}{[{Na}] and [{K}] dependence of the {Na}/{K} pump
  current-voltage relationship in guinea pig ventricular myocytes.}
\newblock \bibinfo{journal}{The Journal of General Physiology}
  \bibinfo{volume}{94}, \bibinfo{pages}{539--565}.
%Type = Article
\bibitem[{Smith and Crampin(2004)}]{smith_development_2004}
\bibinfo{author}{Smith, N.P.}, \bibinfo{author}{Crampin, E.J.},
  \bibinfo{year}{2004}.
\newblock \bibinfo{title}{Development of models of active ion transport for
  whole-cell modelling: cardiac sodium–potassium pump as a case study}.
\newblock \bibinfo{journal}{Progress in Biophysics and Molecular Biology}
  \bibinfo{volume}{85}, \bibinfo{pages}{387--405}.
%Type = Phdthesis
\bibitem[{Terkildsen(2006)}]{terkildsen_modelling_2006}
\bibinfo{author}{Terkildsen, J.}, \bibinfo{year}{2006}.
\newblock \bibinfo{title}{Modelling {Extracellular} {Potassium} {Accumulation}
  in {Cardiac} {Ischaemia}}.
\newblock \bibinfo{type}{Masters {Thesis}}. The University of Auckland.
%Type = Article
\bibitem[{Terkildsen et~al.(2007)Terkildsen, Crampin and
  Smith}]{terkildsen_balance_2007}
\bibinfo{author}{Terkildsen, J.R.}, \bibinfo{author}{Crampin, E.J.},
  \bibinfo{author}{Smith, N.P.}, \bibinfo{year}{2007}.
\newblock \bibinfo{title}{The balance between inactivation and activation of
  the {Na}+-{K}+ pump underlies the triphasic accumulation of extracellular
  {K}+ during myocardial ischemia}.
\newblock \bibinfo{journal}{American Journal of Physiology - Heart and
  Circulatory Physiology} \bibinfo{volume}{293}, \bibinfo{pages}{H3036--H3045}.
%Type = Article
\bibitem[{Tran et~al.(2009)Tran, Smith, Loiselle and
  Crampin}]{tran_thermodynamic_2009}
\bibinfo{author}{Tran, K.}, \bibinfo{author}{Smith, N.P.},
  \bibinfo{author}{Loiselle, D.S.}, \bibinfo{author}{Crampin, E.J.},
  \bibinfo{year}{2009}.
\newblock \bibinfo{title}{A {Thermodynamic} {Model} of the {Cardiac}
  {Sarcoplasmic}/{Endoplasmic} {Ca}2+ ({SERCA}) {Pump}}.
\newblock \bibinfo{journal}{Biophysical Journal} \bibinfo{volume}{96},
  \bibinfo{pages}{2029--2042}.

\end{thebibliography}
