Model Mathematics

Component: environment

Component: JCaM_DYAD_SL

JCaM_DYAD_SL = k0B_off CaM_DYAD - k0B_on B_DYAD CaM_SL

Component: JCa2CaM_DYAD_SL

JCa2CaM_DYAD_SL = k2B_off Ca2CaM_DYAD - k2B_on B_DYAD Ca2CaM_SL

Component: JCa4CaM_DYAD_SL

JCa4CaM_DYAD_SL = k4B_off Ca4CaM_DYAD - k4B_on B_DYAD Ca4CaM_SL

Component: JCaM_SL_CYT

JCaM_SL_CYT = kSLCYT CaM_SL - CaM_CYT

Component: JCa2CaM_SL_CYT

JCa2CaM_SL_CYT = kSLCYT Ca2CaM_SL - Ca2CaM_CYT

Component: JCa4CaM_SL_CYT

JCa4CaM_SL_CYT = kSLCYT Ca4CaM_SL - Ca4CaM_CYT

Component: model_parameters

Component: dyadic_cleft

Component: Reaction_02

Reaction_02 = k02 Ca 2 CaM - k20 Ca2CaM k02 = k20 Kd02 Kd02 = 0.0025 1.0 + K 0.94 - Mg 0.012 1.0 + K 8.1 + Mg 0.022 if Mg 1.0 0.0025 1.0 + K 0.94 + Mg - 1.0 0.06 - 1.0 0.012 1.0 + K 8.1 + 1.0 0.022 + Mg - 1.0 0.068 otherwise

Component: Reaction_24

Reaction_24 = k24 Ca 2 Ca2CaM - k42 Ca4CaM k24 = k42 Kd24 Kd24 = 0.128 1.0 + K 0.64 + Mg 0.014 1.0 + K 13.0 - Mg 0.153 if Mg 1.0 0.128 1.0 + K 0.64 + Mg - 1.0 0.005 1.0 0.012 1.0 + K 13.0 + Mg - 1.0 0.15 - 1.0 0.153 otherwise

Component: Reaction_02B

Reaction_02B = k02B Ca 2 CaMB - k20B Ca2CaMB k02B = k02

Component: Reaction_24B

Reaction_24B = k24B Ca 2 Ca2CaMB - k42B Ca4CaMB k42B = k42 k24B = k24

Component: Reaction_0B

Reaction_0B = k0B_on CaM B - k0B_off CaMB

Component: Reaction_2B

Reaction_2B = k2B_on Ca2CaM B - k2B_off Ca2CaMB

Component: Reaction_4B

Reaction_4B = k4B_on Ca4CaM B - k4B_off Ca4CaMB

Component: B

B = Btot - CaMB + Ca2CaMB + Ca4CaMB

Component: CaM

ddtime CaM = 1E-3 - Reaction_02 + Reaction_0B + Reaction_0CaN

Component: Ca2CaM

ddtime Ca2CaM = 1E-3 CaMKIItot Reaction_CKt2a - Reaction_CKib2 + Reaction_02 - Reaction_24 + Reaction_2B + Reaction_2CaN

Component: Ca4CaM

ddtime Ca4CaM = 1E-3 CaMKIItot Reaction_CKta - Reaction_CKib + Reaction_24 - Reaction_4CaN + Reaction_4B

Component: CaMB

ddtime CaMB = 1E-3 Reaction_0B - Reaction_02B

Component: Ca2CaMB

ddtime Ca2CaMB = 1E-3 Reaction_02B + Reaction_2B - Reaction_24B

Component: Ca4CaMB

ddtime Ca4CaMB = 1E-3 Reaction_24B + Reaction_4B

Component: CaMKIIi

CaMKIIi = Pi CaMKIItot

Component: CaMKIIb2

CaMKIIb2 = Pb2 CaMKIItot

Component: CaMKIIb

CaMKIIb = Pb CaMKIItot

Component: CaMKIIt

CaMKIIt = Pt CaMKIItot

Component: CaMKIIt2

CaMKIIt2 = Pt2 CaMKIItot

Component: CaMKIIa

CaMKIIa = Pa CaMKIItot

Component: Pi

Pi = 1.0 - Pb + Pb2 + Pt + Pt2 + Pa

Component: T

T = Pb + Pt + Pt2 + Pa

Component: Reaction_CKbt

kbt = 0.055 T + 0.0074 T 2.0 + 0.015 T 3.0 Reaction_CKbt = kbt Pb - kPP1 PP1tot Pt KmPP1 + CaMKIItot Pt

Component: Reaction_CKib2

Reaction_CKib2 = kib2 Ca2CaM Pi - kb2i Pb2

Component: Reaction_CKb2b

Reaction_CKb2b = kb24 Ca 2.0 Pb2 - kb42 Pb2 kb24 = k24 kb42 = k42 33.5E-3 5.0

Component: Reaction_CKib

Reaction_CKib = kib Ca4CaM Pi - kbi Pb

Component: Reaction_CKtt2

Reaction_CKtt2 = kt42 Pt - kt24 Ca 2.0 Pt2 kt24 = k24 kt42 = k42 33.5E-6 5.0

Component: Reaction_CKta

Reaction_CKta = kta Pt - kat Ca4CaM Pa

Component: Reaction_CKt2a

Reaction_CKt2a = kt2a Pt2 - kat2 Ca2CaM Pa

Component: Reaction_CKt2b2

Reaction_CKt2b2 = kPP1 PP1tot Pt2 KmPP1 + CaMKIItot Pt2

Component: Reaction_CKai

Reaction_CKai = kPP1 PP1tot Pa KmPP1 + CaMKIItot Pa

Component: Pb2

ddtime Pb2 = 1E-3 Reaction_CKt2b2 - Reaction_CKib2 + Reaction_CKb2b

Component: Pb

ddtime Pb = 1E-3 Reaction_CKib + Reaction_CKb2b - Reaction_CKbt

Component: Pt

ddtime Pt = 1E-3 - Reaction_CKbt + Reaction_CKta + Reaction_CKtt2

Component: Pt2

ddtime Pt2 = 1E-3 - Reaction_CKtt2 + Reaction_CKt2a + Reaction_CKt2b2

Component: Pa

ddtime Pa = 1E-3 Reaction_CKta + Reaction_CKt2a - Reaction_CKai

Component: Ca2CaN

Ca2CaN = CaNtot - Ca4CaN + CaMCaN + Ca2CaMCaN + Ca4CaMCaN

Component: Reaction_Ca4CaN

Reaction_Ca4CaN = kCaNCa_on Ca 2 Ca2CaN - kCaNCa_off Ca4CaN

Component: Reaction_02CaN

Reaction_02CaN = k02CaN Ca 2 CaMCaN - k20CaN Ca2CaMCaN k02CaN = k02 k20CaN = k20 160.0

Component: Reaction_24CaN

Reaction_24CaN = k24CaN Ca 2 Ca2CaMCaN - k42CaN Ca4CaMCaN k24CaN = k24 k42CaN = k42 2508.0

Component: Reaction_0CaN

Reaction_0CaN = kCaN0_on CaM Ca4CaN - kCaN0_off CaMCaN

Component: Reaction_2CaN

Reaction_2CaN = kCaN2_on Ca2CaM Ca4CaN - kCaN2_off Ca2CaMCaN

Component: Reaction_4CaN

Reaction_4CaN = kCaN4_on Ca4CaM Ca4CaN - kCaN4_off Ca4CaMCaN

Component: Ca4CaN

ddtime Ca4CaN = 1E-3 Reaction_Ca4CaN - Reaction_0CaN + Reaction_2CaN + Reaction_4CaN

Component: CaMCaN

ddtime CaMCaN = 1E-3 Reaction_0CaN - Reaction_02CaN

Component: Ca2CaMCaN

ddtime Ca2CaMCaN = 1E-3 Reaction_2CaN + Reaction_02CaN - Reaction_24CaN

Component: Ca4CaMCaN

ddtime Ca4CaMCaN = 1E-3 Reaction_4CaN + Reaction_24CaN

Component: model_parameters

Component: sarcolemma

Component: Reaction_02

Reaction_02 = k02 Ca 2 CaM - k20 Ca2CaM k02 = k20 Kd02 Kd02 = 0.0025 1.0 + K 0.94 - Mg 0.012 1.0 + K 8.1 + Mg 0.022 if Mg 1.0 0.0025 1.0 + K 0.94 + Mg - 1.0 0.06 - 1.0 0.012 1.0 + K 8.1 + 1.0 0.022 + Mg - 1.0 0.068 otherwise

Component: Reaction_24

Reaction_24 = k24 Ca 2 Ca2CaM - k42 Ca4CaM k24 = k42 Kd24 Kd24 = 0.128 1.0 + K 0.64 + Mg 0.014 1.0 + K 13.0 - Mg 0.153 if Mg 1.0 0.128 1.0 + K 0.64 + Mg - 1.0 0.005 1.0 0.012 1.0 + K 13.0 + Mg - 1.0 0.15 - 1.0 0.153 otherwise

Component: Reaction_02B

Reaction_02B = k02B Ca 2 CaMB - k20B Ca2CaMB k02B = k02

Component: Reaction_24B

Reaction_24B = k24B Ca 2 Ca2CaMB - k42B Ca4CaMB k42B = k42 k24B = k24

Component: Reaction_0B

Reaction_0B = k0B_on CaM B - k0B_off CaMB

Component: Reaction_2B

Reaction_2B = k2B_on Ca2CaM B - k2B_off Ca2CaMB

Component: Reaction_4B

Reaction_4B = k4B_on Ca4CaM B - k4B_off Ca4CaMB

Component: B

B = Btot - CaMB + Ca2CaMB + Ca4CaMB

Component: CaM

ddtime CaM = 1E-3 - Reaction_02 + Reaction_0B + Reaction_0CaN

Component: Ca2CaM

ddtime Ca2CaM = 1E-3 CaMKIItot Reaction_CKt2a - Reaction_CKib2 + Reaction_02 - Reaction_24 + Reaction_2B + Reaction_2CaN

Component: Ca4CaM

ddtime Ca4CaM = 1E-3 CaMKIItot Reaction_CKta - Reaction_CKib + Reaction_24 - Reaction_4CaN + Reaction_4B

Component: CaMB

ddtime CaMB = 1E-3 Reaction_0B - Reaction_02B

Component: Ca2CaMB

ddtime Ca2CaMB = 1E-3 Reaction_02B + Reaction_2B - Reaction_24B

Component: Ca4CaMB

ddtime Ca4CaMB = 1E-3 Reaction_24B + Reaction_4B

Component: CaMKIIi

CaMKIIi = Pi CaMKIItot

Component: CaMKIIb2

CaMKIIb2 = Pb2 CaMKIItot

Component: CaMKIIb

CaMKIIb = Pb CaMKIItot

Component: CaMKIIt

CaMKIIt = Pt CaMKIItot

Component: CaMKIIt2

CaMKIIt2 = Pt2 CaMKIItot

Component: CaMKIIa

CaMKIIa = Pa CaMKIItot

Component: Pi

Pi = 1.0 - Pb + Pb2 + Pt + Pt2 + Pa

Component: T

T = Pb + Pt + Pt2 + Pa

Component: Reaction_CKbt

kbt = 0.055 T + 0.0074 T 2.0 + 0.015 T 3.0 Reaction_CKbt = kbt Pb - kPP1 PP1tot Pt KmPP1 + CaMKIItot Pt

Component: Reaction_CKib2

Reaction_CKib2 = kib2 Ca2CaM Pi - kb2i Pb2

Component: Reaction_CKb2b

Reaction_CKb2b = kb24 Ca 2.0 Pb2 - kb42 Pb2 kb24 = k24 kb42 = k42 33.5E-3 5.0

Component: Reaction_CKib

Reaction_CKib = kib Ca4CaM Pi - kbi Pb

Component: Reaction_CKtt2

Reaction_CKtt2 = kt42 Pt - kt24 Ca 2.0 Pt2 kt24 = k24 kt42 = k42 33.5E-6 5.0

Component: Reaction_CKta

Reaction_CKta = kta Pt - kat Ca4CaM Pa

Component: Reaction_CKt2a

Reaction_CKt2a = kt2a Pt2 - kat2 Ca2CaM Pa

Component: Reaction_CKt2b2

Reaction_CKt2b2 = kPP1 PP1tot Pt2 KmPP1 + CaMKIItot Pt2

Component: Reaction_CKai

Reaction_CKai = kPP1 PP1tot Pa KmPP1 + CaMKIItot Pa

Component: Pb2

ddtime Pb2 = 1E-3 Reaction_CKt2b2 - Reaction_CKib2 + Reaction_CKb2b

Component: Pb

ddtime Pb = 1E-3 Reaction_CKib + Reaction_CKb2b - Reaction_CKbt

Component: Pt

ddtime Pt = 1E-3 - Reaction_CKbt + Reaction_CKta + Reaction_CKtt2

Component: Pt2

ddtime Pt2 = 1E-3 - Reaction_CKtt2 + Reaction_CKt2a + Reaction_CKt2b2

Component: Pa

ddtime Pa = 1E-3 Reaction_CKta + Reaction_CKt2a - Reaction_CKai

Component: Ca2CaN

Ca2CaN = CaNtot - Ca4CaN + CaMCaN + Ca2CaMCaN + Ca4CaMCaN

Component: Reaction_Ca4CaN

Reaction_Ca4CaN = kCaNCa_on Ca 2 Ca2CaN - kCaNCa_off Ca4CaN

Component: Reaction_02CaN

Reaction_02CaN = k02CaN Ca 2 CaMCaN - k20CaN Ca2CaMCaN k02CaN = k02 k20CaN = k20 160.0

Component: Reaction_24CaN

Reaction_24CaN = k24CaN Ca 2 Ca2CaMCaN - k42CaN Ca4CaMCaN k24CaN = k24 k42CaN = k42 2508.0

Component: Reaction_0CaN

Reaction_0CaN = kCaN0_on CaM Ca4CaN - kCaN0_off CaMCaN

Component: Reaction_2CaN

Reaction_2CaN = kCaN2_on Ca2CaM Ca4CaN - kCaN2_off Ca2CaMCaN

Component: Reaction_4CaN

Reaction_4CaN = kCaN4_on Ca4CaM Ca4CaN - kCaN4_off Ca4CaMCaN

Component: Ca4CaN

ddtime Ca4CaN = 1E-3 Reaction_Ca4CaN - Reaction_0CaN + Reaction_2CaN + Reaction_4CaN

Component: CaMCaN

ddtime CaMCaN = 1E-3 Reaction_0CaN - Reaction_02CaN

Component: Ca2CaMCaN

ddtime Ca2CaMCaN = 1E-3 Reaction_2CaN + Reaction_02CaN - Reaction_24CaN

Component: Ca4CaMCaN

ddtime Ca4CaMCaN = 1E-3 Reaction_4CaN + Reaction_24CaN

Component: model_parameters

Component: cytosol

Component: Reaction_02

Reaction_02 = k02 Ca 2 CaM - k20 Ca2CaM k02 = k20 Kd02 Kd02 = 0.0025 1.0 + K 0.94 - Mg 0.012 1.0 + K 8.1 + Mg 0.022 if Mg 1.0 0.0025 1.0 + K 0.94 + Mg - 1.0 0.06 - 1.0 0.012 1.0 + K 8.1 + 1.0 0.022 + Mg - 1.0 0.068 otherwise

Component: Reaction_24

Reaction_24 = k24 Ca 2 Ca2CaM - k42 Ca4CaM k24 = k42 Kd24 Kd24 = 0.128 1.0 + K 0.64 + Mg 0.014 1.0 + K 13.0 - Mg 0.153 if Mg 1.0 0.128 1.0 + K 0.64 + Mg - 1.0 0.005 1.0 0.012 1.0 + K 13.0 + Mg - 1.0 0.15 - 1.0 0.153 otherwise

Component: Reaction_02B

Reaction_02B = k02B Ca 2 CaMB - k20B Ca2CaMB k02B = k02

Component: Reaction_24B

Reaction_24B = k24B Ca 2 Ca2CaMB - k42B Ca4CaMB k42B = k42 k24B = k24

Component: Reaction_0B

Reaction_0B = k0B_on CaM B - k0B_off CaMB

Component: Reaction_2B

Reaction_2B = k2B_on Ca2CaM B - k2B_off Ca2CaMB

Component: Reaction_4B

Reaction_4B = k4B_on Ca4CaM B - k4B_off Ca4CaMB

Component: B

B = Btot - CaMB + Ca2CaMB + Ca4CaMB

Component: CaM

ddtime CaM = 1E-3 - Reaction_02 + Reaction_0B + Reaction_0CaN

Component: Ca2CaM

ddtime Ca2CaM = 1E-3 CaMKIItot Reaction_CKt2a - Reaction_CKib2 + Reaction_02 - Reaction_24 + Reaction_2B + Reaction_2CaN

Component: Ca4CaM

ddtime Ca4CaM = 1E-3 CaMKIItot Reaction_CKta - Reaction_CKib + Reaction_24 - Reaction_4CaN + Reaction_4B

Component: CaMB

ddtime CaMB = 1E-3 Reaction_0B - Reaction_02B

Component: Ca2CaMB

ddtime Ca2CaMB = 1E-3 Reaction_02B + Reaction_2B - Reaction_24B

Component: Ca4CaMB

ddtime Ca4CaMB = 1E-3 Reaction_24B + Reaction_4B

Component: CaMKIIi

CaMKIIi = Pi CaMKIItot

Component: CaMKIIb2

CaMKIIb2 = Pb2 CaMKIItot

Component: CaMKIIb

CaMKIIb = Pb CaMKIItot

Component: CaMKIIt

CaMKIIt = Pt CaMKIItot

Component: CaMKIIt2

CaMKIIt2 = Pt2 CaMKIItot

Component: CaMKIIa

CaMKIIa = Pa CaMKIItot

Component: Pi

Pi = 1.0 - Pb + Pb2 + Pt + Pt2 + Pa

Component: T

T = Pb + Pt + Pt2 + Pa

Component: Reaction_CKbt

kbt = 0.055 T + 0.0074 T 2.0 + 0.015 T 3.0 Reaction_CKbt = kbt Pb - kPP1 PP1tot Pt KmPP1 + CaMKIItot Pt

Component: Reaction_CKib2

Reaction_CKib2 = kib2 Ca2CaM Pi - kb2i Pb2

Component: Reaction_CKb2b

Reaction_CKb2b = kb24 Ca 2.0 Pb2 - kb42 Pb2 kb24 = k24 kb42 = k42 33.5E-3 5.0

Component: Reaction_CKib

Reaction_CKib = kib Ca4CaM Pi - kbi Pb

Component: Reaction_CKtt2

Reaction_CKtt2 = kt42 Pt - kt24 Ca 2.0 Pt2 kt24 = k24 kt42 = k42 33.5E-6 5.0

Component: Reaction_CKta

Reaction_CKta = kta Pt - kat Ca4CaM Pa

Component: Reaction_CKt2a

Reaction_CKt2a = kt2a Pt2 - kat2 Ca2CaM Pa

Component: Reaction_CKt2b2

Reaction_CKt2b2 = kPP1 PP1tot Pt2 KmPP1 + CaMKIItot Pt2

Component: Reaction_CKai

Reaction_CKai = kPP1 PP1tot Pa KmPP1 + CaMKIItot Pa

Component: Pb2

ddtime Pb2 = 1E-3 Reaction_CKt2b2 - Reaction_CKib2 + Reaction_CKb2b

Component: Pb

ddtime Pb = 1E-3 Reaction_CKib + Reaction_CKb2b - Reaction_CKbt

Component: Pt

ddtime Pt = 1E-3 - Reaction_CKbt + Reaction_CKta + Reaction_CKtt2

Component: Pt2

ddtime Pt2 = 1E-3 - Reaction_CKtt2 + Reaction_CKt2a + Reaction_CKt2b2

Component: Pa

ddtime Pa = 1E-3 Reaction_CKta + Reaction_CKt2a - Reaction_CKai

Component: Ca2CaN

Ca2CaN = CaNtot - Ca4CaN + CaMCaN + Ca2CaMCaN + Ca4CaMCaN

Component: Reaction_Ca4CaN

Reaction_Ca4CaN = kCaNCa_on Ca 2 Ca2CaN - kCaNCa_off Ca4CaN

Component: Reaction_02CaN

Reaction_02CaN = k02CaN Ca 2 CaMCaN - k20CaN Ca2CaMCaN k02CaN = k02 k20CaN = k20 160.0

Component: Reaction_24CaN

Reaction_24CaN = k24CaN Ca 2 Ca2CaMCaN - k42CaN Ca4CaMCaN k24CaN = k24 k42CaN = k42 2508.0

Component: Reaction_0CaN

Reaction_0CaN = kCaN0_on CaM Ca4CaN - kCaN0_off CaMCaN

Component: Reaction_2CaN

Reaction_2CaN = kCaN2_on Ca2CaM Ca4CaN - kCaN2_off Ca2CaMCaN

Component: Reaction_4CaN

Reaction_4CaN = kCaN4_on Ca4CaM Ca4CaN - kCaN4_off Ca4CaMCaN

Component: Ca4CaN

ddtime Ca4CaN = 1E-3 Reaction_Ca4CaN - Reaction_0CaN + Reaction_2CaN + Reaction_4CaN

Component: CaMCaN

ddtime CaMCaN = 1E-3 Reaction_0CaN - Reaction_02CaN

Component: Ca2CaMCaN

ddtime Ca2CaMCaN = 1E-3 Reaction_2CaN + Reaction_02CaN - Reaction_24CaN

Component: Ca4CaMCaN

ddtime Ca4CaMCaN = 1E-3 Reaction_4CaN + Reaction_24CaN

Component: model_parameters