<?xml version='1.0' encoding='UTF-8'?>
<!-- SERCA model from the Higgins, 2006 version here - https://www.cell.com/biophysj/fulltext/S0006-3495(06)71715-5
we abuse the BG_SERCA cellML code for building this mess, including the 'units' and 'constants' external files (make sure they in paths etc)-->
<model name="Higgins_SERCA" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#" xmlns:xlink="http://www.w3.org/1999/xlink">
    <import xlink:href="units_and_constants/units_BG_Higgins.cellml">
        <units name="mM" units_ref="mM"/>
        <units name="uM" units_ref="uM"/>
        <units name="fmol" units_ref="fmol"/>
        <units name="per_fmol" units_ref="per_fmol"/>
        <units name="J_per_mol" units_ref="J_per_mol"/>
        <units name="J_per_K_per_mol" units_ref="J_per_K_per_mol"/>
        <units name="fmol_per_sec" units_ref="fmol_per_sec"/>
        <units name="C_per_mol" units_ref="C_per_mol"/>
        <units name="pL" units_ref="pL"/>
    </import>
    <import xlink:href="units_and_constants/constants_BG.cellml">
        <component component_ref="constants" name="constants"/>
    </import>
    <component name="environment">
        <variable name="t" public_interface="out" units="second"/>
        <!-- init-->
        <!--this corresponds to 0.036 uM (ss for higgins model), using 38 pL for cyt vol
var q_Ca_i: fmol {init: 1.368e-3, pub: out};-->
        <!--this corresponds to 0.041 uM &#45;&#45; should be equilibrium value here
var q_Ca_i: fmol {init: 0.00155984941463554, pub: out};-->
        <!--this corresponds to an elevated Ca_i of 200 nM-->
        <variable initial_value="0.0076" name="q_Ca_i" public_interface="out" units="fmol"/>
        <!--var q_Ca_i: fmol {init: 0.05, pub: out};-->
        <!--var q_Ca_i: fmol {init: 0.38, pub: out};-->
        <!--this corresponds to ca_er_ss (calculated) for higgins model using 3.8 pL for er vol
var q_Ca_SR: fmol {init: 0.7058, pub: out};-->
        <!--this corresponds to ca_er of ~212 uM &#45;&#45; should be equilibrium value here
var q_Ca_SR: fmol {init: 0.804833017834165, pub: out};-->
        <!--this corresponds to depleted ca_er of 50 uM-->
        <variable initial_value="0.19" name="q_Ca_SR" public_interface="out" units="fmol"/>
        <!--var q_Ca_SR: fmol {init: 0.038, pub: out};-->
        <!--this corresponds to ~200 uM given er_vol of 0.1*34pL &#45;&#45; roughly comparable to Higgins value(s)
Higgins uses fixed amounts of ADP, ATP, P set those below
var q_ADP: fmol {init: 1.3794, pub: out};
var q_ATP: fmol {init: 3.8, pub: out};
altered to 1/4th each state-->
        <variable initial_value="0.0993144901748217" name="q_P1_SERCA" public_interface="out" units="fmol"/>
        <variable initial_value="0.000239063202392527" name="q_P2_SERCA" public_interface="out" units="fmol"/>
        <variable initial_value="0.000148503160194406" name="q_P3_SERCA" public_interface="out" units="fmol"/>
        <variable initial_value="0.000297943470524466" name="q_P4_SERCA" public_interface="out" units="fmol"/>
        <!--var q_P_tot: amol {init: 1.0, pub: out};-->
    </component>
    <component name="SERCA_parameters">
        <!--affinities
below with setting Kc=[K_MgATP 1]; and Nc with two rows, one for phosphates and one for Ca
 Nc' =        0     0     0     0     0     0    -1     1     1   <&#45;&#45; phosphates
              0     0     0     0    -1     1     0     0     0   <&#45;&#45; Ca2+-->
        <variable initial_value="928.252218160594" name="K_P1_SERCA" public_interface="out" units="per_fmol"/>
        <variable initial_value="298.670804907197" name="K_P2_SERCA" public_interface="out" units="per_fmol"/>
        <variable initial_value="22360.1890715303" name="K_P3_SERCA" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.540510558457622" name="K_P4_SERCA" public_interface="out" units="per_fmol"/>
        <variable initial_value="17.8414756556271" name="K_Ca_i" public_interface="out" units="per_fmol"/>
        <variable initial_value="178.414756556269" name="K_Ca_SR" public_interface="out" units="per_fmol"/>
        <!--need K's for phosphates-->
        <variable initial_value="0.407944244873665" name="K_ATP" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.000200810074157257" name="K_ADP" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.000200810074157257" name="K_Pi" public_interface="out" units="per_fmol"/>
        <!--reaction rates-->
        <variable initial_value="2343717.52611542" name="kappa_SERCA_R1_2" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="4.31969233737789e-05" name="kappa_SERCA_R2_3" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="44722340.978469" name="kappa_SERCA_R3_4" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="0.740041047748306" name="kappa_SERCA_R4_1" public_interface="out" units="fmol_per_sec"/>
        <!--set q's for phosphates-->
        <variable initial_value="114" name="q_ATP" public_interface="out" units="fmol"/>
        <variable initial_value="0.38" name="q_ADP" public_interface="out" units="fmol"/>
        <variable initial_value="114" name="q_Pi" public_interface="out" units="fmol"/>
    </component>
    <component name="SERCA">
        <!-- Physical parameters-->
        <variable name="t" public_interface="in" units="second"/>
        <variable name="R" public_interface="in" units="J_per_K_per_mol"/>
        <variable name="T" public_interface="in" units="kelvin"/>
        <variable name="F" public_interface="in" units="C_per_mol"/>
        <!-- Bond graph parameters    -->
        <variable name="K_P1_SERCA" public_interface="in" units="per_fmol"/>
        <variable name="K_P2_SERCA" public_interface="in" units="per_fmol"/>
        <variable name="K_P3_SERCA" public_interface="in" units="per_fmol"/>
        <variable name="K_P4_SERCA" public_interface="in" units="per_fmol"/>
        <variable name="K_Ca_i" public_interface="in" units="per_fmol"/>
        <variable name="K_Ca_SR" public_interface="in" units="per_fmol"/>
        <!--need K's for phosphates-->
        <variable name="K_ATP" public_interface="in" units="per_fmol"/>
        <variable name="K_ADP" public_interface="in" units="per_fmol"/>
        <variable name="K_Pi" public_interface="in" units="per_fmol"/>
        <!--get q's for phosphates here since fixed-->
        <variable name="q_ATP" public_interface="in" units="fmol"/>
        <variable name="q_ADP" public_interface="in" units="fmol"/>
        <variable name="q_Pi" public_interface="in" units="fmol"/>
        <variable name="kappa_SERCA_R1_2" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_SERCA_R2_3" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_SERCA_R3_4" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_SERCA_R4_1" public_interface="in" units="fmol_per_sec"/>
        <variable initial_value="2" name="n_Ca_i" units="dimensionless"/>
        <variable initial_value="2" name="n_Ca_SR" units="dimensionless"/>
        <!-- Input from global environment-->
        <variable name="q_Ca_i" public_interface="in" units="fmol"/>
        <variable name="q_Ca_SR" public_interface="in" units="fmol"/>
        <!-- gate        -->
        <variable name="q_P1_SERCA" public_interface="in" units="fmol"/>
        <variable name="q_P2_SERCA" public_interface="in" units="fmol"/>
        <variable name="q_P3_SERCA" public_interface="in" units="fmol"/>
        <variable name="q_P4_SERCA" public_interface="in" units="fmol"/>
        <!--ratios q_Ca-->
        <variable name="q_Ca_ratio" units="dimensionless"/>
        <!-- Concentrations
note: Higgins gives umol / L; we likely need to check all dimensions in this thing...-->
        <variable name="c_Ca_i" units="uM"/>
        <variable name="c_Ca_SR" units="uM"/>
        <variable initial_value="38" name="vol_i" units="pL"/>
        <variable name="vol_sr" units="pL"/>
        <!--var vol_isr: pL;-->
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>vol_sr</ci>
                <apply>
                    <times/>
                    <ci>vol_i</ci>
                    <cn cellml:units="dimensionless">0.1</cn>
                </apply>
            </apply>
            <!--vol_isr = vol_i+vol_sr;-->
            <apply>
                <eq/>
                <ci>c_Ca_i</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">1000</cn>
                        <ci>q_Ca_i</ci>
                    </apply>
                    <ci>vol_i</ci>
                </apply>
            </apply>
            <!--convert mM -> uM-->
            <apply>
                <eq/>
                <ci>c_Ca_SR</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">1000</cn>
                        <ci>q_Ca_SR</ci>
                    </apply>
                    <ci>vol_sr</ci>
                </apply>
            </apply>
            <!--ca ratio-->
            <apply>
                <eq/>
                <ci>q_Ca_ratio</ci>
                <apply>
                    <divide/>
                    <ci>q_Ca_i</ci>
                    <ci>q_Ca_SR</ci>
                </apply>
            </apply>
        </math>
        <!-- Constitutive equations-->
        <variable name="mu_Ca_i" units="J_per_mol"/>
        <variable name="v_Ca_i_SERCA" public_interface="out" units="fmol_per_sec"/>
        <variable name="mu_Ca_SR" units="J_per_mol"/>
        <variable name="v_Ca_SR_SERCA" public_interface="out" units="fmol_per_sec"/>
        <!--mu's for phosphates-->
        <variable name="mu_ATP" units="J_per_mol"/>
        <variable name="mu_ADP" units="J_per_mol"/>
        <variable name="mu_Pi" units="J_per_mol"/>
        <variable name="mu_P1" units="J_per_mol"/>
        <variable name="v_P1" units="fmol_per_sec"/>
        <variable name="mu_P2" units="J_per_mol"/>
        <variable name="v_P2" units="fmol_per_sec"/>
        <variable name="mu_P3" units="J_per_mol"/>
        <variable name="v_P3" units="fmol_per_sec"/>
        <variable name="mu_P4" units="J_per_mol"/>
        <variable name="v_P4" units="fmol_per_sec"/>
        <variable name="Af_R1_2" units="J_per_mol"/>
        <variable name="Ar_R1_2" units="J_per_mol"/>
        <variable name="Af_R2_3" units="J_per_mol"/>
        <variable name="Ar_R2_3" units="J_per_mol"/>
        <variable name="Af_R3_4" units="J_per_mol"/>
        <variable name="Ar_R3_4" units="J_per_mol"/>
        <variable name="Af_R4_1" units="J_per_mol"/>
        <variable name="Ar_R4_1" units="J_per_mol"/>
        <variable name="v_SERCA_R1_2" units="fmol_per_sec"/>
        <variable name="v_SERCA_R2_3" units="fmol_per_sec"/>
        <variable name="v_SERCA_R3_4" units="fmol_per_sec"/>
        <variable name="v_SERCA_R4_1" units="fmol_per_sec"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>mu_Ca_i</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_Ca_i</ci>
                            <ci>q_Ca_i</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_Ca_SR</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_Ca_SR</ci>
                            <ci>q_Ca_SR</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <!--define mu's for phosphates-->
            <apply>
                <eq/>
                <ci>mu_ATP</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_ATP</ci>
                            <ci>q_ATP</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_ADP</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_ADP</ci>
                            <ci>q_ADP</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_Pi</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_Pi</ci>
                            <ci>q_Pi</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_P1</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_P1_SERCA</ci>
                            <ci>q_P1_SERCA</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_P2</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_P2_SERCA</ci>
                            <ci>q_P2_SERCA</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_P3</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_P3_SERCA</ci>
                            <ci>q_P3_SERCA</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_P4</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_P4_SERCA</ci>
                            <ci>q_P4_SERCA</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_R1_2</ci>
                <apply>
                    <plus/>
                    <ci>mu_P1</ci>
                    <apply>
                        <times/>
                        <ci>n_Ca_i</ci>
                        <ci>mu_Ca_i</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_R1_2</ci>
                <ci>mu_P2</ci>
            </apply>
            <!--Af_R2_3 = mu_P2;
Af for +ATP-->
            <apply>
                <eq/>
                <ci>Af_R2_3</ci>
                <apply>
                    <plus/>
                    <ci>mu_P2</ci>
                    <ci>mu_ATP</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_R2_3</ci>
                <ci>mu_P3</ci>
            </apply>
            <apply>
                <eq/>
                <ci>Af_R3_4</ci>
                <ci>mu_P3</ci>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_R3_4</ci>
                <apply>
                    <plus/>
                    <ci>mu_P4</ci>
                    <apply>
                        <times/>
                        <ci>n_Ca_SR</ci>
                        <ci>mu_Ca_SR</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_R4_1</ci>
                <ci>mu_P4</ci>
            </apply>
            <!--Ar_R4_1 = mu_P1;
Ar for +ADP + Pi-->
            <apply>
                <eq/>
                <ci>Ar_R4_1</ci>
                <apply>
                    <plus/>
                    <ci>mu_P1</ci>
                    <ci>mu_ADP</ci>
                    <ci>mu_Pi</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_SERCA_R1_2</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">1</cn>
                    <ci>kappa_SERCA_R1_2</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_R1_2</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_R1_2</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_SERCA_R2_3</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">1</cn>
                    <ci>kappa_SERCA_R2_3</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_R2_3</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_R2_3</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_SERCA_R3_4</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">1</cn>
                    <ci>kappa_SERCA_R3_4</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_R3_4</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_R3_4</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_SERCA_R4_1</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">1</cn>
                    <ci>kappa_SERCA_R4_1</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_R4_1</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_R4_1</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Ca_i_SERCA</ci>
                <apply>
                    <times/>
                    <apply>
                        <minus/>
                        <ci>n_Ca_i</ci>
                    </apply>
                    <ci>v_SERCA_R1_2</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Ca_SR_SERCA</ci>
                <apply>
                    <times/>
                    <ci>n_Ca_SR</ci>
                    <ci>v_SERCA_R3_4</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_P1</ci>
                <apply>
                    <minus/>
                    <ci>v_SERCA_R4_1</ci>
                    <ci>v_SERCA_R1_2</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_P2</ci>
                <apply>
                    <minus/>
                    <ci>v_SERCA_R1_2</ci>
                    <ci>v_SERCA_R2_3</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_P3</ci>
                <apply>
                    <minus/>
                    <ci>v_SERCA_R2_3</ci>
                    <ci>v_SERCA_R3_4</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_P4</ci>
                <apply>
                    <minus/>
                    <ci>v_SERCA_R3_4</ci>
                    <ci>v_SERCA_R4_1</ci>
                </apply>
            </apply>
            <!--state odes defined here-->
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_P1_SERCA</ci>
                </apply>
                <ci>v_P1</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_P2_SERCA</ci>
                </apply>
                <ci>v_P2</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_P3_SERCA</ci>
                </apply>
                <ci>v_P3</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_P4_SERCA</ci>
                </apply>
                <ci>v_P4</ci>
            </apply>
            <!--calcium odes-->
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_Ca_i</ci>
                </apply>
                <ci>v_Ca_i_SERCA</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_Ca_SR</ci>
                </apply>
                <ci>v_Ca_SR_SERCA</ci>
            </apply>
        </math>
    </component>
    <connection>
        <map_components component_1="constants" component_2="SERCA"/>
        <map_variables variable_1="R" variable_2="R"/>
        <map_variables variable_1="T" variable_2="T"/>
        <map_variables variable_1="F" variable_2="F"/>
    </connection>
    <connection>
        <map_components component_1="environment" component_2="SERCA"/>
        <map_variables variable_1="t" variable_2="t"/>
        <map_variables variable_1="q_Ca_i" variable_2="q_Ca_i"/>
        <map_variables variable_1="q_Ca_SR" variable_2="q_Ca_SR"/>
        <map_variables variable_1="q_P1_SERCA" variable_2="q_P1_SERCA"/>
        <map_variables variable_1="q_P2_SERCA" variable_2="q_P2_SERCA"/>
        <map_variables variable_1="q_P3_SERCA" variable_2="q_P3_SERCA"/>
        <map_variables variable_1="q_P4_SERCA" variable_2="q_P4_SERCA"/>
    </connection>
    <connection>
        <map_components component_1="SERCA_parameters" component_2="SERCA"/>
        <map_variables variable_1="kappa_SERCA_R1_2" variable_2="kappa_SERCA_R1_2"/>
        <map_variables variable_1="kappa_SERCA_R2_3" variable_2="kappa_SERCA_R2_3"/>
        <map_variables variable_1="kappa_SERCA_R3_4" variable_2="kappa_SERCA_R3_4"/>
        <map_variables variable_1="kappa_SERCA_R4_1" variable_2="kappa_SERCA_R4_1"/>
        <map_variables variable_1="K_P1_SERCA" variable_2="K_P1_SERCA"/>
        <map_variables variable_1="K_P2_SERCA" variable_2="K_P2_SERCA"/>
        <map_variables variable_1="K_P3_SERCA" variable_2="K_P3_SERCA"/>
        <map_variables variable_1="K_P4_SERCA" variable_2="K_P4_SERCA"/>
        <map_variables variable_1="K_Ca_i" variable_2="K_Ca_i"/>
        <map_variables variable_1="K_Ca_SR" variable_2="K_Ca_SR"/>
        <!--add K's and q's for phosph-->
        <map_variables variable_1="K_ATP" variable_2="K_ATP"/>
        <map_variables variable_1="K_ADP" variable_2="K_ADP"/>
        <map_variables variable_1="K_Pi" variable_2="K_Pi"/>
        <map_variables variable_1="q_ATP" variable_2="q_ATP"/>
        <map_variables variable_1="q_ADP" variable_2="q_ADP"/>
        <map_variables variable_1="q_Pi" variable_2="q_Pi"/>
    </connection>
</model>
