- Author:
- David Brooks <d.brooks@auckland.ac.nz>
- Date:
- 2025-08-26 14:26:31+12:00
- Desc:
- Remove double lines around systems.
- Permanent Source URI:
- https://staging.physiomeproject.org/workspace/c99/rawfile/8c35c579b09dfdecc501fc73f1ef8d2de2ae64ea/blood_volume_control.cellml
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<times/>
<ci>K_Na</ci>
<ci>q_ptEpi_Na</ci>
</apply>
<ci>q_ptEpi_W</ci>
</apply>
<cn cellml:units="dim">3</cn>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dim">1</cn>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_Na</ci>
<ci>q_vc_Na</ci>
</apply>
<ci>q_vc_W</ci>
</apply>
<cn cellml:units="dim">3</cn>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dim">1</cn>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_K</ci>
<ci>q_vc_K</ci>
</apply>
<ci>q_vc_W</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dim">1</cn>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_K</ci>
<ci>q_ptEpi_K</ci>
</apply>
<ci>q_ptEpi_W</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_vc_Na</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dim">3</cn>
<ci>k_giEpi_NKE</ci>
<apply>
<minus/>
<apply>
<times/>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_Na</ci>
<ci>q_giEpi_Na</ci>
</apply>
<ci>q_giEpi_W</ci>
</apply>
<cn cellml:units="dim">3</cn>
</apply>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_K</ci>
<ci>q_vc_K</ci>
</apply>
<ci>q_vc_W</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_Na</ci>
<ci>q_vc_Na</ci>
</apply>
<ci>q_vc_W</ci>
</apply>
<cn cellml:units="dim">3</cn>
</apply>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_K</ci>
<ci>q_giEpi_K</ci>
</apply>
<ci>q_giEpi_W</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dim">2</cn>
<ci>F</ci>
<ci>u_giEpi_e</ci>
</apply>
<ci>RT</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<cn cellml:units="dim">1</cn>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_Na</ci>
<ci>q_giEpi_Na</ci>
</apply>
<ci>q_giEpi_W</ci>
</apply>
<cn cellml:units="dim">3</cn>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dim">1</cn>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_Na</ci>
<ci>q_vc_Na</ci>
</apply>
<ci>q_vc_W</ci>
</apply>
<cn cellml:units="dim">3</cn>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dim">1</cn>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_K</ci>
<ci>q_vc_K</ci>
</apply>
<ci>q_vc_W</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dim">1</cn>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_K</ci>
<ci>q_giEpi_K</ci>
</apply>
<ci>q_giEpi_W</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dim">3</cn>
<ci>k_ptEpi_NKE</ci>
<apply>
<minus/>
<apply>
<times/>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_Na</ci>
<ci>q_ptEpi_Na</ci>
</apply>
<ci>q_ptEpi_W</ci>
</apply>
<cn cellml:units="dim">3</cn>
</apply>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_K</ci>
<ci>q_vc_K</ci>
</apply>
<ci>q_vc_W</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_Na</ci>
<ci>q_vc_Na</ci>
</apply>
<ci>q_vc_W</ci>
</apply>
<cn cellml:units="dim">3</cn>
</apply>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_K</ci>
<ci>q_ptEpi_K</ci>
</apply>
<ci>q_ptEpi_W</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dim">2</cn>
<ci>F</ci>
<ci>u_ptEpi_e</ci>
</apply>
<ci>RT</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<cn cellml:units="dim">1</cn>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_Na</ci>
<ci>q_ptEpi_Na</ci>
</apply>
<ci>q_ptEpi_W</ci>
</apply>
<cn cellml:units="dim">3</cn>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dim">1</cn>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_Na</ci>
<ci>q_vc_Na</ci>
</apply>
<ci>q_vc_W</ci>
</apply>
<cn cellml:units="dim">3</cn>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dim">1</cn>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_K</ci>
<ci>q_vc_K</ci>
</apply>
<ci>q_vc_W</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dim">1</cn>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_K</ci>
<ci>q_ptEpi_K</ci>
</apply>
<ci>q_ptEpi_W</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>kK_gl_Na</ci>
<apply>
<minus/>
<ci>q_vc_Na</ci>
<ci>q_pt_Na</ci>
</apply>
</apply>
</apply>
</apply>
<!-- Water pressures -->
<apply>
<eq/>
<ci>u_vc_W</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>E_vc</ci>
<apply>
<minus/>
<ci>q_vc_W</ci>
<ci>U_vc_W</ci>
</apply>
</apply>
<apply>
<power/>
<apply>
<minus/>
<ci>L_vc_W</ci>
<ci>q_vc_W</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>u_ac_W</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>E_ac</ci>
<apply>
<minus/>
<ci>q_ac_W</ci>
<ci>U_ac_W</ci>
</apply>
</apply>
<apply>
<power/>
<apply>
<minus/>
<ci>L_ac_W</ci>
<ci>q_ac_W</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>u_pt_W</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>E_pt</ci>
<apply>
<minus/>
<ci>q_pt_W</ci>
<ci>U_pt_W</ci>
</apply>
</apply>
<apply>
<power/>
<apply>
<minus/>
<ci>L_pt_W</ci>
<ci>q_pt_W</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<!-- Concentrations & Osmotic pressures-->
<apply>
<eq/>
<ci>c_vc_Na</ci>
<apply>
<divide/>
<ci>q_vc_Na</ci>
<ci>q_vc_W</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>c_gi_Na</ci>
<apply>
<divide/>
<ci>q_gi_Na</ci>
<ci>q_gi_W</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>c_pt_Na</ci>
<apply>
<divide/>
<ci>q_pt_Na</ci>
<ci>q_pt_W</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>c_giEpi_Na</ci>
<apply>
<divide/>
<ci>q_giEpi_Na</ci>
<ci>q_giEpi_W</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>c_ptEpi_Na</ci>
<apply>
<divide/>
<ci>q_ptEpi_Na</ci>
<ci>q_ptEpi_W</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>C_vc_Na</ci>
<apply>
<times/>
<cn type="e-notation" cellml:units="dim">1<sep/>3</cn>
<ci>c_vc_Na</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>C_gi_Na</ci>
<apply>
<times/>
<cn type="e-notation" cellml:units="dim">1<sep/>3</cn>
<ci>c_gi_Na</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>C_pt_Na</ci>
<apply>
<times/>
<cn type="e-notation" cellml:units="dim">1<sep/>3</cn>
<ci>c_pt_Na</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>C_giEpi_Na</ci>
<apply>
<times/>
<cn type="e-notation" cellml:units="dim">1<sep/>3</cn>
<ci>c_giEpi_Na</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>C_ptEpi_Na</ci>
<apply>
<times/>
<cn type="e-notation" cellml:units="dim">1<sep/>3</cn>
<ci>c_ptEpi_Na</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>u_gi_osmotic</ci>
<apply>
<times/>
<ci>RT</ci>
<ci>c_gi_Na</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>u_vc_osmotic</ci>
<apply>
<times/>
<ci>RT</ci>
<ci>c_vc_Na</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>u_pt_osmotic</ci>
<apply>
<times/>
<ci>RT</ci>
<ci>c_pt_Na</ci>
</apply>
</apply>
<!-- Water fluxes -->
<apply>
<eq/>
<ci>v_gi_W</ci>
<apply>
<times/>
<ci>k_gi_W</ci>
<apply>
<minus/>
<ci>u_vc_osmotic</ci>
<ci>u_gi_osmotic</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_pt_W</ci>
<apply>
<times/>
<ci>k_pt_W</ci>
<apply>
<minus/>
<ci>u_vc_osmotic</ci>
<ci>u_pt_osmotic</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_gl_W</ci>
<apply>
<times/>
<ci>k_gl_W</ci>
<apply>
<minus/>
<ci>u_ac_W</ci>
<ci>u_pt_W</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_cc_W</ci>
<apply>
<times/>
<ci>k_cc_W</ci>
<apply>
<minus/>
<ci>u_ac_W</ci>
<ci>u_vc_W</ci>
</apply>
</apply>
</apply>
<!-- Sodium fluxes-->
<apply>
<eq/>
<ci>v_gl_Na</ci>
<apply>
<times/>
<ci>kK_gl_Na</ci>
<apply>
<minus/>
<ci>q_vc_Na</ci>
<ci>q_pt_Na</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_gi_Na</ci>
<apply>
<times/>
<ci>kK_gi_Na</ci>
<apply>
<minus/>
<ci>q_gi_Na</ci>
<ci>q_giEpi_Na</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_pt_Na</ci>
<apply>
<times/>
<ci>kK_pt_Na</ci>
<apply>
<minus/>
<ci>q_pt_Na</ci>
<ci>q_ptEpi_Na</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_giEpi_NKE</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dim">3</cn>
<ci>k_giEpi_NKE</ci>
<apply>
<minus/>
<apply>
<times/>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_Na</ci>
<ci>q_giEpi_Na</ci>
</apply>
<ci>q_giEpi_W</ci>
</apply>
<cn cellml:units="dim">3</cn>
</apply>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_K</ci>
<ci>q_vc_K</ci>
</apply>
<ci>q_vc_W</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_Na</ci>
<ci>q_vc_Na</ci>
</apply>
<ci>q_vc_W</ci>
</apply>
<cn cellml:units="dim">3</cn>
</apply>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_K</ci>
<ci>q_giEpi_K</ci>
</apply>
<ci>q_giEpi_W</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dim">2</cn>
<ci>F</ci>
<ci>u_giEpi_e</ci>
</apply>
<ci>RT</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<cn cellml:units="dim">1</cn>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_Na</ci>
<ci>q_giEpi_Na</ci>
</apply>
<ci>q_giEpi_W</ci>
</apply>
<cn cellml:units="dim">3</cn>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dim">1</cn>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_Na</ci>
<ci>q_vc_Na</ci>
</apply>
<ci>q_vc_W</ci>
</apply>
<cn cellml:units="dim">3</cn>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dim">1</cn>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_K</ci>
<ci>q_vc_K</ci>
</apply>
<ci>q_vc_W</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dim">1</cn>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_K</ci>
<ci>q_giEpi_K</ci>
</apply>
<ci>q_giEpi_W</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_ptEpi_NKE</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dim">3</cn>
<ci>k_ptEpi_NKE</ci>
<apply>
<minus/>
<apply>
<times/>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_Na</ci>
<ci>q_ptEpi_Na</ci>
</apply>
<ci>q_ptEpi_W</ci>
</apply>
<cn cellml:units="dim">3</cn>
</apply>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_K</ci>
<ci>q_vc_K</ci>
</apply>
<ci>q_vc_W</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_Na</ci>
<ci>q_vc_Na</ci>
</apply>
<ci>q_vc_W</ci>
</apply>
<cn cellml:units="dim">3</cn>
</apply>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_K</ci>
<ci>q_ptEpi_K</ci>
</apply>
<ci>q_ptEpi_W</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dim">2</cn>
<ci>F</ci>
<ci>u_ptEpi_e</ci>
</apply>
<ci>RT</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<cn cellml:units="dim">1</cn>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_Na</ci>
<ci>q_ptEpi_Na</ci>
</apply>
<ci>q_ptEpi_W</ci>
</apply>
<cn cellml:units="dim">3</cn>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dim">1</cn>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_Na</ci>
<ci>q_vc_Na</ci>
</apply>
<ci>q_vc_W</ci>
</apply>
<cn cellml:units="dim">3</cn>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dim">1</cn>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_K</ci>
<ci>q_vc_K</ci>
</apply>
<ci>q_vc_W</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dim">1</cn>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_K</ci>
<ci>q_ptEpi_K</ci>
</apply>
<ci>q_ptEpi_W</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<!--Total water & total sodium-->
<apply>
<eq/>
<ci>q_tot_W</ci>
<apply>
<plus/>
<ci>q_ac_W</ci>
<ci>q_vc_W</ci>
<ci>q_gi_W</ci>
<ci>q_pt_W</ci>
<ci>q_giEpi_W</ci>
<ci>q_ptEpi_W</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_tot_Na</ci>
<apply>
<plus/>
<ci>q_vc_Na</ci>
<ci>q_gi_Na</ci>
<ci>q_pt_Na</ci>
<ci>q_giEpi_Na</ci>
<ci>q_ptEpi_Na</ci>
</apply>
</apply>
</math>
</component>
</model>
