Model Mathematics

Component: output_18

Component: clamp_para

Component: free_para_18

Component: MWC_18

k_C=0.5alphaV-V08K k_Cminus=0.5alpha-V-V08K O=O_0+O_1+O_2+O_3+O_4+O_5+O_6+O_7+O_8 C=C_0+C_1+C_2+C_3+C_4+C_5+C_6+C_7+C_8 norm=C+O P_o=Onorm Q=O_1+2O_2+3O_3+4O_4+5O_5+6O_6+7O_7+8O_8+C_1+2C_2+3C_3+4C_4+5C_5+6C_6+7C_7+8C_88 dQ=dO_1+2dO_2+3dO_3+4dO_4+5dO_5+6dO_6+7dO_7+8dO_8+dC_1+2dC_2+3dC_3+4dC_4+5dC_5+6dC_6+7dC_7+8dC_88

Component: C0_S2

k_i1=k_L k_i2=Nk_C k_1i=k_Lminus k_2i=k_Cminus

Component: S1

ddtS_i=k_1iS_1norm-k_i1S_inorm dS_i=k_1iS_1norm-k_i1S_inorm

Component: S2

ddtS_i=k_1iS_1norm+k_2iS_2norm-k_i1+k_i2S_inorm dS_i=k_1iS_1norm+k_2iS_2norm-k_i1+k_i2S_inorm

Component: S3

ddtS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm dS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm

Component: C_S3

k_i1=k_Cminusi k_i2=k_Lfi k_i3=N-ik_C k_1i=N-i+1k_C k_2i=k_Lminusfi k_3i=i+1k_Cminus

Component: S1

ddtS_i=k_1iS_1norm-k_i1S_inorm dS_i=k_1iS_1norm-k_i1S_inorm

Component: S2

ddtS_i=k_1iS_1norm+k_2iS_2norm-k_i1+k_i2S_inorm dS_i=k_1iS_1norm+k_2iS_2norm-k_i1+k_i2S_inorm

Component: S3

ddtS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm dS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm

Component: C_S3

k_i1=k_Cminusi k_i2=k_Lfi k_i3=N-ik_C k_1i=N-i+1k_C k_2i=k_Lminusfi k_3i=i+1k_Cminus

Component: S3

ddtS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm dS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm

Component: C_S3

k_i1=k_Cminusi k_i2=k_Lfi k_i3=N-ik_C k_1i=N-i+1k_C k_2i=k_Lminusfi k_3i=i+1k_Cminus

Component: S3

ddtS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm dS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm

Component: C_S3

k_i1=k_Cminusi k_i2=k_Lfi k_i3=N-ik_C k_1i=N-i+1k_C k_2i=k_Lminusfi k_3i=i+1k_Cminus

Component: S3

ddtS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm dS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm

Component: C_S3

k_i1=k_Cminusi k_i2=k_Lfi k_i3=N-ik_C k_1i=N-i+1k_C k_2i=k_Lminusfi k_3i=i+1k_Cminus

Component: S3

ddtS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm dS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm

Component: C_S3

k_i1=k_Cminusi k_i2=k_Lfi k_i3=N-ik_C k_1i=N-i+1k_C k_2i=k_Lminusfi k_3i=i+1k_Cminus

Component: S3

ddtS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm dS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm

Component: C_S3

k_i1=k_Cminusi k_i2=k_Lfi k_i3=N-ik_C k_1i=N-i+1k_C k_2i=k_Lminusfi k_3i=i+1k_Cminus

Component: S3

ddtS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm dS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm

Component: CN_S2

k_i1=k_CminusN k_i2=k_LfN k_1i=k_C k_2i=k_LminusfN

Component: S1

ddtS_i=k_1iS_1norm-k_i1S_inorm dS_i=k_1iS_1norm-k_i1S_inorm

Component: S2

ddtS_i=k_1iS_1norm+k_2iS_2norm-k_i1+k_i2S_inorm dS_i=k_1iS_1norm+k_2iS_2norm-k_i1+k_i2S_inorm

Component: S3

ddtS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm dS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm

Component: O0_S2

k_i1=k_Lminus k_i2=Nk_Cf k_1i=k_L k_2i=fk_Cminus

Component: S1

ddtS_i=k_1iS_1norm-k_i1S_inorm dS_i=k_1iS_1norm-k_i1S_inorm

Component: S2

ddtS_i=k_1iS_1norm+k_2iS_2norm-k_i1+k_i2S_inorm dS_i=k_1iS_1norm+k_2iS_2norm-k_i1+k_i2S_inorm

Component: S3

ddtS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm dS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm

Component: O_S3

k_i1=k_Cminusif k_i2=k_Lminusfi k_i3=N-ik_Cf k_1i=N-i+1k_Cf k_2i=k_Lfi k_3i=i+1k_Cminusf

Component: S1

ddtS_i=k_1iS_1norm-k_i1S_inorm dS_i=k_1iS_1norm-k_i1S_inorm

Component: S2

ddtS_i=k_1iS_1norm+k_2iS_2norm-k_i1+k_i2S_inorm dS_i=k_1iS_1norm+k_2iS_2norm-k_i1+k_i2S_inorm

Component: S3

ddtS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm dS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm

Component: O_S3

k_i1=k_Cminusif k_i2=k_Lminusfi k_i3=N-ik_Cf k_1i=N-i+1k_Cf k_2i=k_Lfi k_3i=i+1k_Cminusf

Component: S3

ddtS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm dS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm

Component: O_S3

k_i1=k_Cminusif k_i2=k_Lminusfi k_i3=N-ik_Cf k_1i=N-i+1k_Cf k_2i=k_Lfi k_3i=i+1k_Cminusf

Component: S3

ddtS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm dS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm

Component: O_S3

k_i1=k_Cminusif k_i2=k_Lminusfi k_i3=N-ik_Cf k_1i=N-i+1k_Cf k_2i=k_Lfi k_3i=i+1k_Cminusf

Component: S3

ddtS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm dS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm

Component: O_S3

k_i1=k_Cminusif k_i2=k_Lminusfi k_i3=N-ik_Cf k_1i=N-i+1k_Cf k_2i=k_Lfi k_3i=i+1k_Cminusf

Component: S3

ddtS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm dS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm

Component: O_S3

k_i1=k_Cminusif k_i2=k_Lminusfi k_i3=N-ik_Cf k_1i=N-i+1k_Cf k_2i=k_Lfi k_3i=i+1k_Cminusf

Component: S3

ddtS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm dS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm

Component: O_S3

k_i1=k_Cminusif k_i2=k_Lminusfi k_i3=N-ik_Cf k_1i=N-i+1k_Cf k_2i=k_Lfi k_3i=i+1k_Cminusf

Component: S3

ddtS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm dS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm

Component: ON_S2

k_i1=k_CminusNf k_i2=k_LminusfN k_1i=k_Cf k_2i=k_LfN

Component: S1

ddtS_i=k_1iS_1norm-k_i1S_inorm dS_i=k_1iS_1norm-k_i1S_inorm

Component: S2

ddtS_i=k_1iS_1norm+k_2iS_2norm-k_i1+k_i2S_inorm dS_i=k_1iS_1norm+k_2iS_2norm-k_i1+k_i2S_inorm

Component: S3

ddtS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm dS_i=k_1iS_1norm+k_2iS_2norm+k_3iS_3norm-k_i1+k_i2+k_i3S_inorm

Component: Para

Component: sPulse_protocol_ms

V=V_actHoldingiftime<t_ssV_actTestiftimet_sstime<t_act+t_ssV_actHoldingotherwise

Component: dPulse_protocol_ms

V=V_actHoldingiftime<t_cdV_cdiftimet_cdtime<t_cd+T_cdV_actHoldingiftimet_cd+T_cdtime<t_cd+T_cd+t_ssV_actTestiftimet_cd+T_cd+t_sstime<t_cd+T_cd+t_act+t_ssV_actHoldingotherwise

Component: sPulse_protocol_s

V=V_actHoldingiftime<t_ssV_actTestiftimet_sstime<t_act+t_ssV_actHoldingotherwise

Component: mPulse_protocol_ms

stimPeriod=t_act+t_intp t=time-t_ss-stimPeriodtime-t_ssstimPeriod V=V_actHoldingiftime<t_ssV_actTestiftimet_sstt_acttimet_ss+stimPeriodnpV_actHoldingotherwise

Component: mPulse_protocol_s

stimPeriod=t_act+t_intp t=time-t_ss-stimPeriodtime-t_ssstimPeriod V=V_actHoldingiftimet_ssV_actTestiftime>t_sstt_acttimet_ss+stimPeriodnpV_actHoldingotherwise

Component: time_ms

Component: time_s