Rendering of the source text
<?xml version='1.0'?>
<model name="Feto_maternal_O2_transfer" xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cellml="http://www.cellml.org/cellml/1.0#">
<units name="mmHg">
<unit multiplier="133.32" units="pascal"/>
</units>
<units name="ml">
<unit prefix="milli" units="liter"/>
</units>
<units name="ml_per_min">
<unit units="ml"/>
<unit exponent="-1" multiplier="60" units="second"/>
</units>
<units name="ml_per_ml">
<unit units="ml"/>
<unit exponent="-1" units="ml"/>
</units>
<units name="ml_per_ml_min_mmHg">
<unit units="ml"/>
<unit exponent="-1" units="ml"/>
<unit exponent="-1" multiplier="60" units="second"/>
<unit exponent="-1" units="mmHg"/>
</units>
<component name="gas_exchange">
<variable initial_value="1.4452" name="k1_m" units="dimensionless"/>
<variable initial_value="1.4452" name="k1_81m" units="dimensionless"/>
<variable initial_value="0.456" name="k2_m" units="dimensionless"/>
<variable initial_value="0.3711" name="k3_m" units="dimensionless"/>
<variable initial_value="0.3711" name="K3_81m" units="dimensionless"/>
<variable initial_value="7.8322e+03" name="k4_m" units="dimensionless"/>
<variable initial_value="7.4" name="pH_m" units="dimensionless"/>
<variable initial_value="1.302" name="k1_f" units="dimensionless"/>
<variable initial_value="0.464" name="k2_f" units="dimensionless"/>
<variable initial_value="0.395" name="k3_f" units="dimensionless"/>
<variable initial_value="2.2643e+03" name="k4_f" units="dimensionless"/>
<variable initial_value="7.35" name="pH_f" units="dimensionless"/>
<variable initial_value="33" name="Pin_m" units="mmHg"/>
<variable initial_value="15" name="Pin_f" units="mmHg"/>
<variable name="x_m" units="dimensionless"/>
<variable name="x_m1" units="dimensionless"/>
<variable name="x_f" units="dimensionless"/>
<variable name="x_f1" units="dimensionless"/>
<variable name="S_m" units="dimensionless"/>
<variable name="S_f" units="dimensionless"/>
<variable initial_value="0" name="t" units="second"/>
<variable name="O2_m" units="ml_per_ml"/>
<variable name="O2_f" units="ml_per_ml"/>
<variable initial_value="12.5" name="Hb_m" units="dimensionless"/>
<variable initial_value="15.5" name="Hb_f" units="dimensionless"/>
<variable initial_value="3.0263e-05" name="a" units="dimensionless"/>
<variable initial_value="164" name="ks_m" units="dimensionless"/>
<variable initial_value="164" name="ks_f" units="dimensionless"/>
<variable initial_value="164" name="kh" units="dimensionless"/>
<variable initial_value="1" name="B" units="dimensionless"/>
<variable initial_value="4.89e-7" name="V_m" units="ml"/>
<variable initial_value="4.89e-7" name="V_f" units="ml"/>
<variable initial_value="1.2014e-04" name="Q_m" units="ml_per_min"/>
<variable initial_value="1.2014e-04" name="Q_f" units="ml_per_min"/>
<variable initial_value="6.21" name="Dm" units="ml_per_ml_min_mmHg"/>
<variable initial_value="3.287" name="c1" units="dimensionless"/>
<variable initial_value="0.1117" name="c2" units="dimensionless"/>
<variable initial_value="7.05e-3" name="c3" units="dimensionless"/>
<variable initial_value="0.8142" name="c4" units="dimensionless"/>
<variable name="theta_m" units="dimensionless"/>
<variable name="theta_f" units="dimensionless"/>
<variable name="x1_m" units="dimensionless"/>
<variable name="x1_f" units="dimensionless"/>
<variable name="R_m" units="dimensionless"/>
<variable name="R_f" units="dimensionless"/>
<variable name="R_p" units="dimensionless"/>
<variable name="R_t" units="dimensionless"/>
<variable name="Dp" units="dimensionless"/>
<variable name="dodt_m" units="dimensionless"/>
<variable name="dodt_f" units="dimensionless"/>
<variable name="O2_mnew" units="ml_per_ml"/>
<variable name="O2_fnew" units="ml_per_ml"/>
<variable name="f_m" units="dimensionless"/>
<variable name="f_f" units="dimensionless"/>
<variable name="upper_m" units="dimensionless"/>
<variable name="lower_m" units="dimensionless"/>
<variable name="upper_f" units="dimensionless"/>
<variable name="lower_f" units="dimensionless"/>
<variable name="dfdP_f" units="dimensionless"/>
<variable name="dfdP_m" units="dimensionless"/>
<variable name="tt" units="second"/>
<variable name="dt" units="second"/>
<variable name="Pend1_m" units="mmHg"/>
<variable name="Pend1_f" units="mmHg"/>
<variable name="theta_96_m" units="dimensionless"/>
<variable name="theta_96_f" units="dimensionless"/>
<variable name="x_m_sec" units="dimensionless"/>
<variable name="x_m1_sec" units="dimensionless"/>
<variable name="S_m_sec" units="dimensionless"/>
<variable name="x_f_sec" units="dimensionless"/>
<variable name="x_f1_sec" units="dimensionless"/>
<variable name="S_f_sec" units="dimensionless"/>
<variable name="theta_96_m_sec" units="dimensionless"/>
<variable name="theta_96_f_sec" units="dimensionless"/>
<variable name="x1_m_sec" units="dimensionless"/>
<variable name="theta_m_sec" units="dimensionless"/>
<variable name="x1_f_sec" units="dimensionless"/>
<variable name="theta_f_sec" units="dimensionless"/>
<variable name="R_m_sec" units="dimensionless"/>
<variable name="R_f_sec" units="dimensionless"/>
<variable name="R_p_sec" units="dimensionless"/>
<variable name="R_t_sec" units="dimensionless"/>
<variable name="Dp_sec" units="dimensionless"/>
<variable name="dodt_m_sec" units="dimensionless"/>
<variable name="dodt_f_sec" units="dimensionless"/>
<variable name="O2_mnew_sec" units="ml_per_ml"/>
<variable name="O2_fnew_sec" units="ml_per_ml"/>
<variable name="f_m_sec" units="dimensionless"/>
<variable name="f_f_sec" units="dimensionless"/>
<variable name="upper_m_sec" units="dimensionless"/>
<variable name="lower_m_sec" units="dimensionless"/>
<variable name="dfdP_m_sec" units="dimensionless"/>
<variable name="upper_f_sec" units="dimensionless"/>
<variable name="lower_f_sec" units="dimensionless"/>
<variable name="dfdP_f_sec" units="dimensionless"/>
<variable name="Pend2_m" units="mmHg"/>
<variable name="Pend2_f" units="mmHg"/>
<variable name="x_m_trd" units="dimensionless"/>
<variable name="x_m1_trd" units="dimensionless"/>
<variable name="S_m_trd" units="dimensionless"/>
<variable name="x_f_trd" units="dimensionless"/>
<variable name="x_f1_trd" units="dimensionless"/>
<variable name="S_f_trd" units="dimensionless"/>
<variable name="theta_96_m_trd" units="dimensionless"/>
<variable name="theta_96_f_trd" units="dimensionless"/>
<variable name="x1_m_trd" units="dimensionless"/>
<variable name="theta_m_trd" units="dimensionless"/>
<variable name="x1_f_trd" units="dimensionless"/>
<variable name="theta_f_trd" units="dimensionless"/>
<variable name="R_m_trd" units="dimensionless"/>
<variable name="R_f_trd" units="dimensionless"/>
<variable name="R_p_trd" units="dimensionless"/>
<variable name="R_t_trd" units="dimensionless"/>
<variable name="Dp_trd" units="dimensionless"/>
<variable name="dodt_m_trd" units="dimensionless"/>
<variable name="dodt_f_trd" units="dimensionless"/>
<variable name="O2_mnew_trd" units="ml_per_ml"/>
<variable name="O2_fnew_trd" units="ml_per_ml"/>
<variable name="f_m_trd" units="dimensionless"/>
<variable name="f_f_trd" units="dimensionless"/>
<variable name="upper_m_trd" units="dimensionless"/>
<variable name="lower_m_trd" units="dimensionless"/>
<variable name="dfdP_m_trd" units="dimensionless"/>
<variable name="upper_f_trd" units="dimensionless"/>
<variable name="lower_f_trd" units="dimensionless"/>
<variable name="dfdP_f_trd" units="dimensionless"/>
<variable name="Pend3_m" units="mmHg"/>
<variable name="Pend3_f" units="mmHg"/>
<variable name="x_m_for" units="dimensionless"/>
<variable name="x_m1_for" units="dimensionless"/>
<variable name="S_m_for" units="dimensionless"/>
<variable name="x_f_for" units="dimensionless"/>
<variable name="x_f1_for" units="dimensionless"/>
<variable name="S_f_for" units="dimensionless"/>
<variable name="theta_96_m_for" units="dimensionless"/>
<variable name="theta_96_f_for" units="dimensionless"/>
<variable name="x1_m_for" units="dimensionless"/>
<variable name="theta_m_for" units="dimensionless"/>
<variable name="x1_f_for" units="dimensionless"/>
<variable name="theta_f_for" units="dimensionless"/>
<variable name="R_m_for" units="dimensionless"/>
<variable name="R_f_for" units="dimensionless"/>
<variable name="R_p_for" units="dimensionless"/>
<variable name="R_t_for" units="dimensionless"/>
<variable name="Dp_for" units="dimensionless"/>
<variable name="dodt_m_for" units="dimensionless"/>
<variable name="dodt_f_for" units="dimensionless"/>
<variable name="O2_mnew_final" units="ml_per_ml"/>
<variable name="O2_fnew_final" units="ml_per_ml"/>
<variable name="f_m_final" units="dimensionless"/>
<variable name="f_f_final" units="dimensionless"/>
<variable name="upper_m_final" units="dimensionless"/>
<variable name="lower_m_final" units="dimensionless"/>
<variable name="dfdP_m_final" units="dimensionless"/>
<variable name="upper_f_final" units="dimensionless"/>
<variable name="lower_f_final" units="dimensionless"/>
<variable name="dfdP_f_final" units="dimensionless"/>
<variable name="Pfinal_m" units="mmHg"/>
<variable name="Pfinal_f" units="mmHg"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
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<eq/>
<ci>x_m</ci>
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<divide/>
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<plus/>
<apply>
<minus/>
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<log/>
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<times/>
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<minus/>
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<power/>
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<divide/>
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<times/>
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<plus/>
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<eq/>
<ci>x_f</ci>
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<divide/>
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<plus/>
<apply>
<minus/>
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<log/>
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<times/>
<ci>k2_f</ci>
<apply>
<minus/>
<ci>pH_f</ci>
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<ci>k3_f</ci>
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<eq/>
<ci>x_f1</ci>
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<power/>
<cn cellml:units="dimensionless">10</cn>
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<ci>S_f</ci>
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<divide/>
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<times/>
<cn cellml:units="dimensionless">100</cn>
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<plus/>
<cn cellml:units="dimensionless">1</cn>
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<ci>O2_m</ci>
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<plus/>
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<divide/>
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<divide/>
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<times/>
<cn cellml:units="dimensionless">1.34</cn>
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<cn cellml:units="dimensionless">100</cn>
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<plus/>
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<times/>
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<power/>
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<divide/>
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<minus/>
<cn cellml:units="dimensionless">1</cn>
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<ci>k3_m</ci>
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<cn cellml:units="dimensionless">1</cn>
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<times/>
<ci>a</ci>
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<apply>
<eq/>
<ci>O2_f</ci>
<apply>
<plus/>
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<divide/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">1.34</cn>
<ci>Hb_f</ci>
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<cn cellml:units="dimensionless">100</cn>
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<plus/>
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<times/>
<ci>k4_f</ci>
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<power/>
<ci>Pin_f</ci>
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<divide/>
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<minus/>
<cn cellml:units="dimensionless">1</cn>
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<ci>x1_m</ci>
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<exp/>
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<minus/>
<cn cellml:units="dimensionless">1</cn>
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<minus/>
<cn cellml:units="dimensionless">100</cn>
<cn cellml:units="dimensionless">96</cn>
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<gt/>
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<exp/>
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<times/>
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<minus/>
<cn cellml:units="dimensionless">1</cn>
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<ci>c2</ci>
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<minus/>
<cn cellml:units="dimensionless">100</cn>
<ci>S_m</ci>
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<eq/>
<ci>theta_96_m</ci>
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<divide/>
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<times/>
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<divide/>
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<times/>
<apply>
<divide/>
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<times/>
<apply>
<minus/>
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<plus/>
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<times/>
<ci>c1</ci>
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<minus/>
<cn cellml:units="dimensionless">1</cn>
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<cn cellml:units="dimensionless">100</cn>
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<ci>kh</ci>
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<eq/>
<ci>theta_m</ci>
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<minus/>
<ci>theta_96_m</ci>
<apply>
<divide/>
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<times/>
<ci>theta_96_m</ci>
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<minus/>
<cn cellml:units="dimensionless">96</cn>
<ci>S_m</ci>
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<apply>
<minus/>
<cn cellml:units="dimensionless">4</cn>
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<gt/>
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<divide/>
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<times/>
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<divide/>
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<times/>
<apply>
<divide/>
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<times/>
<apply>
<minus/>
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<plus/>
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<times/>
<ci>c1</ci>
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<minus/>
<cn cellml:units="dimensionless">1</cn>
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<times/>
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<eq/>
<ci>x1_f</ci>
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<exp/>
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<times/>
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<minus/>
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<ci>c2</ci>
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<minus/>
<cn cellml:units="dimensionless">100</cn>
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<gt/>
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<exp/>
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<times/>
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<minus/>
<cn cellml:units="dimensionless">1</cn>
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<ci>c2</ci>
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<minus/>
<cn cellml:units="dimensionless">100</cn>
<ci>S_f</ci>
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<eq/>
<ci>theta_96_f</ci>
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<divide/>
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<divide/>
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<times/>
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<divide/>
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<minus/>
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<plus/>
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<times/>
<ci>c1</ci>
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<minus/>
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<ci>x1_f</ci>
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<times/>
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<cn cellml:units="dimensionless">1.34</cn>
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<cn cellml:units="dimensionless">100</cn>
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<ci>Hb_f</ci>
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<cn cellml:units="dimensionless">0.2</cn>
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<ci>kh</ci>
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<eq/>
<ci>theta_f</ci>
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<piece>
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<minus/>
<ci>theta_96_f</ci>
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<divide/>
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<times/>
<ci>theta_96_f</ci>
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<minus/>
<cn cellml:units="dimensionless">96</cn>
<ci>S_f</ci>
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<apply>
<minus/>
<cn cellml:units="dimensionless">4</cn>
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<gt/>
<ci>S_f</ci>
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<divide/>
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<times/>
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<divide/>
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<times/>
<apply>
<divide/>
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<apply>
<minus/>
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<plus/>
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<times/>
<ci>c1</ci>
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<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>x1_f</ci>
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<cn cellml:units="dimensionless">100</cn>
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<ci>kh</ci>
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<eq/>
<ci>R_m</ci>
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<divide/>
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<times/>
<ci>theta_m</ci>
<ci>V_m</ci>
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<eq/>
<ci>R_f</ci>
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<divide/>
<cn cellml:units="dimensionless">1</cn>
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<times/>
<ci>theta_f</ci>
<ci>V_f</ci>
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<eq/>
<ci>R_p</ci>
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<divide/>
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<eq/>
<ci>R_t</ci>
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<plus/>
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<eq/>
<ci>Dp</ci>
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<divide/>
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<divide/>
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<cn cellml:units="dimensionless">60</cn>
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<eq/>
<ci>dodt_m</ci>
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<divide/>
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<times/>
<ci>B</ci>
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<minus/>
<cn cellml:units="dimensionless">1</cn>
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<ci>Dp</ci>
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<minus/>
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<ci>V_m</ci>
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<eq/>
<ci>dodt_f</ci>
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<times/>
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<divide/>
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<times/>
<apply>
<divide/>
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<minus/>
<cn cellml:units="dimensionless">1</cn>
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<ci>V_m</ci>
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<apply>
<eq/>
<ci>tt</ci>
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<divide/>
<ci>V_f</ci>
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<divide/>
<ci>Q_f</ci>
<cn cellml:units="dimensionless">60</cn>
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<apply>
<eq/>
<ci>dt</ci>
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<divide/>
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<apply>
<eq/>
<ci>O2_mnew</ci>
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<plus/>
<ci>O2_m</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>dodt_m</ci>
<ci>dt</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>O2_fnew</ci>
<apply>
<plus/>
<ci>O2_f</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>dodt_f</ci>
<ci>dt</ci>
</apply>
<cn cellml:units="dimensionlsee">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>f_m</ci>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">1.34</cn>
<ci>Hb_m</ci>
</apply>
<cn cellml:units="dimensionless">100</cn>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>k4_m</ci>
<apply>
<power/>
<ci>Pin_m</ci>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>k3_m</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
<apply>
<times/>
<ci>a</ci>
<ci>Pin_m</ci>
</apply>
</apply>
<ci>O2_mnew</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>f_f</ci>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">1.34</cn>
<ci>Hb_f</ci>
</apply>
<cn cellml:units="dimensionless">100</cn>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>k4_f</ci>
<apply>
<power/>
<ci>Pin_f</ci>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>k3_f</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
<apply>
<times/>
<ci>a</ci>
<ci>Pin_f</ci>
</apply>
</apply>
<ci>O2_fnew</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>upper_m</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">1.34</cn>
<ci>Hb_m</ci>
<ci>k4_m</ci>
<apply>
<power/>
<ci>Pin_m</ci>
<apply>
<minus/>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>k3_m</ci>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>lower_m</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">100</cn>
<ci>k3_m</ci>
<apply>
<power/>
<apply>
<plus/>
<apply>
<times/>
<ci>k4_m</ci>
<apply>
<power/>
<ci>Pin_m</ci>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>k3_m</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>dfdP_m</ci>
<apply>
<plus/>
<apply>
<divide/>
<ci>upper_m</ci>
<ci>lower_m</ci>
</apply>
<ci>a</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>upper_f</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">1.34</cn>
<ci>Hb_f</ci>
<ci>k4_f</ci>
<apply>
<power/>
<ci>Pin_f</ci>
<apply>
<minus/>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>k3_f</ci>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>lower_f</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">100</cn>
<ci>k3_f</ci>
<apply>
<power/>
<apply>
<plus/>
<apply>
<times/>
<ci>k4_f</ci>
<apply>
<power/>
<ci>Pin_f</ci>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>k3_f</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>dfdP_f</ci>
<apply>
<plus/>
<apply>
<divide/>
<ci>upper_f</ci>
<ci>lower_f</ci>
</apply>
<ci>a</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Pend1_m</ci>
<apply>
<minus/>
<ci>Pin_m</ci>
<apply>
<divide/>
<ci>f_m</ci>
<ci>dfdP_m</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Pend1_f</ci>
<apply>
<minus/>
<ci>Pin_f</ci>
<apply>
<divide/>
<ci>f_f</ci>
<ci>dfdP_f</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>x_m_sec</ci>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<log/>
<ci>Pend1_m</ci>
</apply>
<ci>k1_m</ci>
</apply>
<apply>
<times/>
<ci>k2_m</ci>
<apply>
<minus/>
<ci>pH_m</ci>
<cn cellml:units="dimensionless">7.4</cn>
</apply>
</apply>
</apply>
<ci>k3_m</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_m1_sec</ci>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<ci>x_m_sec</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>S_m_sec</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">100</cn>
<ci>x_m1_sec</ci>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<ci>x_m1_sec</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>x_f_sec</ci>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<log/>
<ci>Pend1_f</ci>
</apply>
<ci>k1_f</ci>
</apply>
<apply>
<times/>
<ci>k2_f</ci>
<apply>
<minus/>
<ci>pH_f</ci>
<cn cellml:units="dimensionless">7.4</cn>
</apply>
</apply>
</apply>
<ci>k3_f</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_f1_sec</ci>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<ci>x_f_sec</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>S_f_sec</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">100</cn>
<ci>x_f1_sec</ci>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<ci>x_f1_sec</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>x1_m_sec</ci>
<piecewise>
<piece>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>c2</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">100</cn>
<cn cellml:units="dimensionless">96</cn>
</apply>
</apply>
</apply>
<apply>
<gt/>
<ci>S_m_sec</ci>
<cn cellml:units="dimensionless">96</cn>
</apply>
</piece>
<otherwise>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>c2</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">100</cn>
<ci>S_m_sec</ci>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>theta_96_m_sec</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>c1</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>x1_m_sec</ci>
</apply>
</apply>
<apply>
<times/>
<ci>c3</ci>
<ci>S_m_sec</ci>
</apply>
</apply>
<ci>c4</ci>
</apply>
<cn cellml:units="dimensionless">1.34</cn>
</apply>
<cn cellml:units="dimensionless">100</cn>
</apply>
<ci>Hb_m</ci>
</apply>
<cn cellml:units="dimensionless">0.2</cn>
</apply>
<ci>ks_m</ci>
</apply>
<ci>kh</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>theta_m_sec</ci>
<piecewise>
<piece>
<apply>
<minus/>
<ci>theta_96_m_sec</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>theta_96_m_sec</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">96</cn>
<ci>S_m_sec</ci>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">4</cn>
</apply>
</apply>
</apply>
<apply>
<gt/>
<ci>S_m_sec</ci>
<cn cellml:units="dimensionless">96</cn>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>c1</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>x1_m_sec</ci>
</apply>
</apply>
<apply>
<times/>
<ci>c3</ci>
<ci>S_m_sec</ci>
</apply>
</apply>
<ci>c4</ci>
</apply>
<cn cellml:units="dimensionless">1.34</cn>
</apply>
<cn cellml:units="dimensionless">100</cn>
</apply>
<ci>Hb_m</ci>
</apply>
<cn cellml:units="dimensiionless">0.2</cn>
</apply>
<ci>ks_m</ci>
</apply>
<ci>kh</ci>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>x1_f_sec</ci>
<piecewise>
<piece>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>c2</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">100</cn>
<cn cellml:units="dimensionless">96</cn>
</apply>
</apply>
</apply>
<apply>
<gt/>
<ci>S_f_sec</ci>
<cn cellml:units="dimensionless">96</cn>
</apply>
</piece>
<otherwise>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>c2</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">100</cn>
<ci>S_f_sec</ci>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>theta_96_f_sec</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>c1</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>x1_f_sec</ci>
</apply>
</apply>
<apply>
<times/>
<ci>c3</ci>
<ci>S_f_sec</ci>
</apply>
</apply>
<ci>c4</ci>
</apply>
<cn cellml:units="dimensionless">1.34</cn>
</apply>
<cn cellml:units="dimensionless">100</cn>
</apply>
<ci>Hb_f</ci>
</apply>
<cn cellml:units="dimensionless">0.2</cn>
</apply>
<ci>ks_f</ci>
</apply>
<ci>kh</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>theta_f_sec</ci>
<piecewise>
<piece>
<apply>
<minus/>
<ci>theta_96_f_sec</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>theta_96_f_sec</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">96</cn>
<ci>S_f_sec</ci>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">4</cn>
</apply>
</apply>
</apply>
<apply>
<gt/>
<ci>S_f_sec</ci>
<cn cellml:units="dimensionless">96</cn>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>c1</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>x1_f_sec</ci>
</apply>
</apply>
<apply>
<times/>
<ci>c3</ci>
<ci>S_f_sec</ci>
</apply>
</apply>
<ci>c4</ci>
</apply>
<cn cellml:units="dimensionless">1.34</cn>
</apply>
<cn cellml:units="dimensionless">100</cn>
</apply>
<ci>Hb_f</ci>
</apply>
<cn cellml:units="dimensiionless">0.2</cn>
</apply>
<ci>ks_f</ci>
</apply>
<ci>kh</ci>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>R_m_sec</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<ci>theta_m_sec</ci>
<ci>V_m</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>R_f_sec</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<ci>theta_f_sec</ci>
<ci>V_f</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>R_p_sec</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>Dm</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>R_t_sec</ci>
<apply>
<plus/>
<ci>R_m_sec</ci>
<ci>R_f_sec</ci>
<ci>R_p_sec</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Dp_sec</ci>
<apply>
<divide/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>R_t_sec</ci>
</apply>
<cn cellml:units="dimensionless">60</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>dodt_m_sec</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>B</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>Dp_sec</ci>
<apply>
<minus/>
<ci>Pend1_m</ci>
<ci>Pend1_f</ci>
</apply>
</apply>
<ci>V_m</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>dodt_f_sec</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>B</ci>
</apply>
<ci>V_m</ci>
</apply>
<ci>V_f</ci>
</apply>
<ci>dodt_m_sec</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>O2_mnew_sec</ci>
<apply>
<plus/>
<ci>O2_m</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>dodt_m_sec</ci>
<ci>dt</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>O2_fnew_sec</ci>
<apply>
<plus/>
<ci>O2_f</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>dodt_f_sec</ci>
<ci>dt</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>f_m_sec</ci>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">1.34</cn>
<ci>Hb_m</ci>
</apply>
<cn cellml:units="dimensionless">100</cn>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>k4_m</ci>
<apply>
<power/>
<ci>Pend1_m</ci>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>k3_m</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
<apply>
<times/>
<ci>a</ci>
<ci>Pend1_m</ci>
</apply>
</apply>
<ci>O2_mnew_sec</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>f_f_sec</ci>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">1.34</cn>
<ci>Hb_f</ci>
</apply>
<cn cellml:units="dimensionless">100</cn>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>k4_f</ci>
<apply>
<power/>
<ci>Pend1_f</ci>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>k3_f</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
<apply>
<times/>
<ci>a</ci>
<ci>Pend1_f</ci>
</apply>
</apply>
<ci>O2_fnew_sec</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>upper_m_sec</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">1.34</cn>
<ci>Hb_m</ci>
<ci>k4_m</ci>
<apply>
<power/>
<ci>Pend1_m</ci>
<apply>
<minus/>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>k3_m</ci>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>lower_m_sec</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">100</cn>
<ci>k3_m</ci>
<apply>
<power/>
<apply>
<plus/>
<apply>
<times/>
<ci>k4_m</ci>
<apply>
<power/>
<ci>Pend1_m</ci>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>k3_m</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>dfdP_m_sec</ci>
<apply>
<plus/>
<apply>
<divide/>
<ci>upper_m_sec</ci>
<ci>lower_m_sec</ci>
</apply>
<ci>a</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>upper_f_sec</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">1.34</cn>
<ci>Hb_f</ci>
<ci>k4_f</ci>
<apply>
<power/>
<ci>Pend1_f</ci>
<apply>
<minus/>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>k3_f</ci>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>lower_f_sec</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">100</cn>
<ci>k3_f</ci>
<apply>
<power/>
<apply>
<plus/>
<apply>
<times/>
<ci>k4_f</ci>
<apply>
<power/>
<ci>Pend1_f</ci>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>k3_f</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>dfdP_f_sec</ci>
<apply>
<plus/>
<apply>
<divide/>
<ci>upper_f_sec</ci>
<ci>lower_f_sec</ci>
</apply>
<ci>a</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Pend2_m</ci>
<apply>
<minus/>
<ci>Pend1_m</ci>
<apply>
<divide/>
<ci>f_m_sec</ci>
<ci>dfdP_m_sec</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Pend2_f</ci>
<apply>
<minus/>
<ci>Pend1_f</ci>
<apply>
<divide/>
<ci>f_f_sec</ci>
<ci>dfdP_f_sec</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>x_m_trd</ci>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<log/>
<ci>Pend2_m</ci>
</apply>
<ci>k1_m</ci>
</apply>
<apply>
<times/>
<ci>k2_m</ci>
<apply>
<minus/>
<ci>pH_m</ci>
<cn cellml:units="dimensionless">7.4</cn>
</apply>
</apply>
</apply>
<ci>k3_m</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_m1_trd</ci>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<ci>x_m_trd</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>S_m_trd</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">100</cn>
<ci>x_m1_trd</ci>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<ci>x_m1_trd</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>x_f_trd</ci>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<log/>
<ci>Pend2_f</ci>
</apply>
<ci>k1_f</ci>
</apply>
<apply>
<times/>
<ci>k2_f</ci>
<apply>
<minus/>
<ci>pH_f</ci>
<cn cellml:units="dimensionless">7.4</cn>
</apply>
</apply>
</apply>
<ci>k3_f</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_f1_trd</ci>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<ci>x_f_trd</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>S_f_trd</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">100</cn>
<ci>x_f1_trd</ci>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<ci>x_f1_trd</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>x1_m_trd</ci>
<piecewise>
<piece>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>c2</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">100</cn>
<cn cellml:units="dimensionless">96</cn>
</apply>
</apply>
</apply>
<apply>
<gt/>
<ci>S_m_trd</ci>
<cn cellml:units="dimensionless">96</cn>
</apply>
</piece>
<otherwise>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>c2</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">100</cn>
<ci>S_m_trd</ci>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>theta_96_m_trd</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>c1</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>x1_m_trd</ci>
</apply>
</apply>
<apply>
<times/>
<ci>c3</ci>
<ci>S_m_trd</ci>
</apply>
</apply>
<ci>c4</ci>
</apply>
<cn cellml:units="dimensionless">1.34</cn>
</apply>
<cn cellml:units="dimensionless">100</cn>
</apply>
<ci>Hb_m</ci>
</apply>
<cn cellml:units="dimensionless">0.2</cn>
</apply>
<ci>ks_m</ci>
</apply>
<ci>kh</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>theta_m_trd</ci>
<piecewise>
<piece>
<apply>
<minus/>
<ci>theta_96_m_trd</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>theta_96_m_trd</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">96</cn>
<ci>S_m_trd</ci>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">4</cn>
</apply>
</apply>
</apply>
<apply>
<gt/>
<ci>S_m_trd</ci>
<cn cellml:units="dimensionless">96</cn>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>c1</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>x1_m_trd</ci>
</apply>
</apply>
<apply>
<times/>
<ci>c3</ci>
<ci>S_m_trd</ci>
</apply>
</apply>
<ci>c4</ci>
</apply>
<cn cellml:units="dimensionless">1.34</cn>
</apply>
<cn cellml:units="dimensionless">100</cn>
</apply>
<ci>Hb_m</ci>
</apply>
<cn cellml:units="dimensiionless">0.2</cn>
</apply>
<ci>ks_m</ci>
</apply>
<ci>kh</ci>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>x1_f_trd</ci>
<piecewise>
<piece>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>c2</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">100</cn>
<cn cellml:units="dimensionless">96</cn>
</apply>
</apply>
</apply>
<apply>
<gt/>
<ci>S_f_trd</ci>
<cn cellml:units="dimensionless">96</cn>
</apply>
</piece>
<otherwise>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>c2</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">100</cn>
<ci>S_f_trd</ci>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>theta_96_f_trd</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>c1</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>x1_f_trd</ci>
</apply>
</apply>
<apply>
<times/>
<ci>c3</ci>
<ci>S_f_trd</ci>
</apply>
</apply>
<ci>c4</ci>
</apply>
<cn cellml:units="dimensionless">1.34</cn>
</apply>
<cn cellml:units="dimensionless">100</cn>
</apply>
<ci>Hb_f</ci>
</apply>
<cn cellml:units="dimensionless">0.2</cn>
</apply>
<ci>ks_f</ci>
</apply>
<ci>kh</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>theta_f_trd</ci>
<piecewise>
<piece>
<apply>
<minus/>
<ci>theta_96_f_trd</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>theta_96_f_trd</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">96</cn>
<ci>S_f_trd</ci>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">4</cn>
</apply>
</apply>
</apply>
<apply>
<gt/>
<ci>S_f_trd</ci>
<cn cellml:units="dimensionless">96</cn>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>c1</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>x1_f_trd</ci>
</apply>
</apply>
<apply>
<times/>
<ci>c3</ci>
<ci>S_f_trd</ci>
</apply>
</apply>
<ci>c4</ci>
</apply>
<cn cellml:units="dimensionless">1.34</cn>
</apply>
<cn cellml:units="dimensionless">100</cn>
</apply>
<ci>Hb_f</ci>
</apply>
<cn cellml:units="dimensiionless">0.2</cn>
</apply>
<ci>ks_f</ci>
</apply>
<ci>kh</ci>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>R_m_trd</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<ci>theta_m_trd</ci>
<ci>V_m</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>R_f_trd</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<ci>theta_f_trd</ci>
<ci>V_f</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>R_p_trd</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>Dm</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>R_t_trd</ci>
<apply>
<plus/>
<ci>R_m_trd</ci>
<ci>R_f_trd</ci>
<ci>R_p_trd</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Dp_trd</ci>
<apply>
<divide/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>R_t_trd</ci>
</apply>
<cn cellml:units="dimensionless">60</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>dodt_m_trd</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>B</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>Dp_trd</ci>
<apply>
<minus/>
<ci>Pend2_m</ci>
<ci>Pend2_f</ci>
</apply>
</apply>
<ci>V_m</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>dodt_f_trd</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>B</ci>
</apply>
<ci>V_m</ci>
</apply>
<ci>V_f</ci>
</apply>
<ci>dodt_m_trd</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>O2_mnew_trd</ci>
<apply>
<plus/>
<ci>O2_m</ci>
<apply>
<times/>
<ci>dodt_m_trd</ci>
<ci>dt</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>O2_fnew_trd</ci>
<apply>
<plus/>
<ci>O2_f</ci>
<apply>
<times/>
<ci>dodt_f_trd</ci>
<ci>dt</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>f_m_trd</ci>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">1.34</cn>
<ci>Hb_m</ci>
</apply>
<cn cellml:units="dimensionless">100</cn>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>k4_m</ci>
<apply>
<power/>
<ci>Pend2_m</ci>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>k3_m</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
<apply>
<times/>
<ci>a</ci>
<ci>Pend2_m</ci>
</apply>
</apply>
<ci>O2_mnew_trd</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>f_f_trd</ci>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">1.34</cn>
<ci>Hb_f</ci>
</apply>
<cn cellml:units="dimensionless">100</cn>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>k4_f</ci>
<apply>
<power/>
<ci>Pend2_f</ci>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>k3_f</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
<apply>
<times/>
<ci>a</ci>
<ci>Pend2_f</ci>
</apply>
</apply>
<ci>O2_fnew_trd</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>upper_m_trd</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">1.34</cn>
<ci>Hb_m</ci>
<ci>k4_m</ci>
<apply>
<power/>
<ci>Pend2_m</ci>
<apply>
<minus/>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>k3_m</ci>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>lower_m_trd</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">100</cn>
<ci>k3_m</ci>
<apply>
<power/>
<apply>
<plus/>
<apply>
<times/>
<ci>k4_m</ci>
<apply>
<power/>
<ci>Pend2_m</ci>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>k3_m</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>dfdP_m_trd</ci>
<apply>
<plus/>
<apply>
<divide/>
<ci>upper_m_trd</ci>
<ci>lower_m_trd</ci>
</apply>
<ci>a</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>upper_f_trd</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">1.34</cn>
<ci>Hb_f</ci>
<ci>k4_f</ci>
<apply>
<power/>
<ci>Pend2_f</ci>
<apply>
<minus/>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>k3_f</ci>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>lower_f_trd</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">100</cn>
<ci>k3_f</ci>
<apply>
<power/>
<apply>
<plus/>
<apply>
<times/>
<ci>k4_f</ci>
<apply>
<power/>
<ci>Pend2_f</ci>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>k3_f</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>dfdP_f_trd</ci>
<apply>
<plus/>
<apply>
<divide/>
<ci>upper_f_trd</ci>
<ci>lower_f_trd</ci>
</apply>
<ci>a</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Pend3_m</ci>
<apply>
<minus/>
<ci>Pend2_m</ci>
<apply>
<divide/>
<ci>f_m_trd</ci>
<ci>dfdP_m_trd</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Pend3_f</ci>
<apply>
<minus/>
<ci>Pend2_f</ci>
<apply>
<divide/>
<ci>f_f_trd</ci>
<ci>dfdP_f_trd</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>x_m_for</ci>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<log/>
<ci>Pend3_m</ci>
</apply>
<ci>k1_m</ci>
</apply>
<apply>
<times/>
<ci>k2_m</ci>
<apply>
<minus/>
<ci>pH_m</ci>
<cn cellml:units="dimensionless">7.4</cn>
</apply>
</apply>
</apply>
<ci>k3_m</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_m1_for</ci>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<ci>x_m_for</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>S_m_for</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">100</cn>
<ci>x_m1_for</ci>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<ci>x_m1_for</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>x_f_for</ci>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<log/>
<ci>Pend3_f</ci>
</apply>
<ci>k1_f</ci>
</apply>
<apply>
<times/>
<ci>k2_f</ci>
<apply>
<minus/>
<ci>pH_f</ci>
<cn cellml:units="dimensionless">7.4</cn>
</apply>
</apply>
</apply>
<ci>k3_f</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_f1_for</ci>
<apply>
<power/>
<cn cellml:units="dimensionless">10</cn>
<ci>x_f_for</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>S_f_for</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">100</cn>
<ci>x_f1_for</ci>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<ci>x_f1_for</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>x1_m_for</ci>
<piecewise>
<piece>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>c2</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">100</cn>
<cn cellml:units="dimensionless">96</cn>
</apply>
</apply>
</apply>
<apply>
<gt/>
<ci>S_m_for</ci>
<cn cellml:units="dimensionless">96</cn>
</apply>
</piece>
<otherwise>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>c2</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">100</cn>
<ci>S_m_for</ci>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>theta_96_m_for</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>c1</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>x1_m_for</ci>
</apply>
</apply>
<apply>
<times/>
<ci>c3</ci>
<ci>S_m_for</ci>
</apply>
</apply>
<ci>c4</ci>
</apply>
<cn cellml:units="dimensionless">1.34</cn>
</apply>
<cn cellml:units="dimensionless">100</cn>
</apply>
<ci>Hb_m</ci>
</apply>
<cn cellml:units="dimensionless">0.2</cn>
</apply>
<ci>ks_m</ci>
</apply>
<ci>kh</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>theta_m_for</ci>
<piecewise>
<piece>
<apply>
<minus/>
<ci>theta_96_m_for</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>theta_96_m_for</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">96</cn>
<ci>S_m_for</ci>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">4</cn>
</apply>
</apply>
</apply>
<apply>
<gt/>
<ci>S_m_for</ci>
<cn cellml:units="dimensionless">96</cn>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>c1</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>x1_m_for</ci>
</apply>
</apply>
<apply>
<times/>
<ci>c3</ci>
<ci>S_m_for</ci>
</apply>
</apply>
<ci>c4</ci>
</apply>
<cn cellml:units="dimensionless">1.34</cn>
</apply>
<cn cellml:units="dimensionless">100</cn>
</apply>
<ci>Hb_m</ci>
</apply>
<cn cellml:units="dimensiionless">0.2</cn>
</apply>
<ci>ks_m</ci>
</apply>
<ci>kh</ci>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>x1_f_for</ci>
<piecewise>
<piece>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>c2</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">100</cn>
<cn cellml:units="dimensionless">96</cn>
</apply>
</apply>
</apply>
<apply>
<gt/>
<ci>S_f_for</ci>
<cn cellml:units="dimensionless">96</cn>
</apply>
</piece>
<otherwise>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>c2</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">100</cn>
<ci>S_f_for</ci>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>theta_96_f_for</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>c1</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>x1_f_for</ci>
</apply>
</apply>
<apply>
<times/>
<ci>c3</ci>
<ci>S_f_for</ci>
</apply>
</apply>
<ci>c4</ci>
</apply>
<cn cellml:units="dimensionless">1.34</cn>
</apply>
<cn cellml:units="dimensionless">100</cn>
</apply>
<ci>Hb_f</ci>
</apply>
<cn cellml:units="dimensionless">0.2</cn>
</apply>
<ci>ks_f</ci>
</apply>
<ci>kh</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>theta_f_for</ci>
<piecewise>
<piece>
<apply>
<minus/>
<ci>theta_96_f_for</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>theta_96_f_for</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">96</cn>
<ci>S_f_for</ci>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">4</cn>
</apply>
</apply>
</apply>
<apply>
<gt/>
<ci>S_f_for</ci>
<cn cellml:units="dimensionless">96</cn>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>c1</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>x1_f_for</ci>
</apply>
</apply>
<apply>
<times/>
<ci>c3</ci>
<ci>S_f_for</ci>
</apply>
</apply>
<ci>c4</ci>
</apply>
<cn cellml:units="dimensionless">1.34</cn>
</apply>
<cn cellml:units="dimensionless">100</cn>
</apply>
<ci>Hb_f</ci>
</apply>
<cn cellml:units="dimensiionless">0.2</cn>
</apply>
<ci>ks_f</ci>
</apply>
<ci>kh</ci>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>R_m_for</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<ci>theta_m_for</ci>
<ci>V_m</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>R_f_for</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<ci>theta_f_for</ci>
<ci>V_f</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>R_p_for</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>Dm</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>R_t_for</ci>
<apply>
<plus/>
<ci>R_m_for</ci>
<ci>R_f_for</ci>
<ci>R_p_for</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Dp_for</ci>
<apply>
<divide/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>R_t_for</ci>
</apply>
<cn cellml:units="dimensionless">60</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>dodt_m_for</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>B</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>Dp_for</ci>
<apply>
<minus/>
<ci>Pend3_m</ci>
<ci>Pend3_f</ci>
</apply>
</apply>
<ci>V_m</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>dodt_f_for</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>B</ci>
</apply>
<ci>V_m</ci>
</apply>
<ci>V_f</ci>
</apply>
<ci>dodt_m_for</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>O2_mnew_final</ci>
<apply>
<plus/>
<ci>O2_m</ci>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<cn cellml:units="dimensionless">6</cn>
</apply>
<apply>
<plus/>
<ci>dodt_m</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>dodt_m_sec</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>dodt_m_trd</ci>
</apply>
<ci>dodt_m_for</ci>
</apply>
<ci>dt</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>O2_fnew_final</ci>
<apply>
<plus/>
<ci>O2_f</ci>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<cn cellml:units="dimensionless">6</cn>
</apply>
<apply>
<plus/>
<ci>dodt_f</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>dodt_f_sec</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>dodt_f_trd</ci>
</apply>
<ci>dodt_f_for</ci>
</apply>
<ci>dt</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>f_m_final</ci>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">1.34</cn>
<ci>Hb_m</ci>
</apply>
<cn cellml:units="dimensionless">100</cn>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>k4_m</ci>
<apply>
<power/>
<ci>Pend3_m</ci>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>k3_m</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
<apply>
<times/>
<ci>a</ci>
<ci>Pend3_m</ci>
</apply>
</apply>
<ci>O2_mnew_final</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>f_f_final</ci>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">1.34</cn>
<ci>Hb_f</ci>
</apply>
<cn cellml:units="dimensionless">100</cn>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>k4_f</ci>
<apply>
<power/>
<ci>Pend3_f</ci>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>k3_f</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
<apply>
<times/>
<ci>a</ci>
<ci>Pend3_f</ci>
</apply>
</apply>
<ci>O2_fnew_final</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>upper_m_final</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">1.34</cn>
<ci>Hb_m</ci>
<ci>k4_m</ci>
<apply>
<power/>
<ci>Pend3_m</ci>
<apply>
<minus/>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>k3_m</ci>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>lower_m_final</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">100</cn>
<ci>k3_m</ci>
<apply>
<power/>
<apply>
<plus/>
<apply>
<times/>
<ci>k4_m</ci>
<apply>
<power/>
<ci>Pend3_m</ci>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>k3_m</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>dfdP_m_final</ci>
<apply>
<plus/>
<apply>
<divide/>
<ci>upper_m_final</ci>
<ci>lower_m_final</ci>
</apply>
<ci>a</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>upper_f_final</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">1.34</cn>
<ci>Hb_f</ci>
<ci>k4_f</ci>
<apply>
<power/>
<ci>Pend3_f</ci>
<apply>
<minus/>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>k3_f</ci>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>lower_f_final</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">100</cn>
<ci>k3_f</ci>
<apply>
<power/>
<apply>
<plus/>
<apply>
<times/>
<ci>k4_f</ci>
<apply>
<power/>
<ci>Pend3_f</ci>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>k3_f</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>dfdP_f_final</ci>
<apply>
<plus/>
<apply>
<divide/>
<ci>upper_f_final</ci>
<ci>lower_f_final</ci>
</apply>
<ci>a</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Pfinal_m</ci>
<apply>
<minus/>
<ci>Pend3_m</ci>
<apply>
<divide/>
<ci>f_m_final</ci>
<ci>dfdP_m_final</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Pfinal_f</ci>
<apply>
<minus/>
<ci>Pend3_f</ci>
<apply>
<divide/>
<ci>f_f_final</ci>
<ci>dfdP_f_final</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>Pin_m</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>Pfinal_m</ci>
<ci>Pin_m</ci>
</apply>
<ci>dt</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>Pin_f</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>Pfinal_f</ci>
<ci>Pin_f</ci>
</apply>
<ci>dt</ci>
</apply>
</apply>
</math>
</component>
</model>