Model Mathematics

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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 = \frac{k20}{Kd02}

Kd02 = \{\begin{matrix} 0.0025 (1.0 + \frac{K}{0.94} - (\frac{Mg}{0.012})) (1.0 + \frac{K}{8.1} + \frac{Mg}{0.022}) if Mg ≦ 1.0 \\ 0.0025 (1.0 + \frac{K}{0.94} + \frac{Mg - 1.0}{0.06} - (\frac{1.0}{0.012})) (1.0 + \frac{K}{8.1} + \frac{1.0}{0.022} + \frac{Mg - 1.0}{0.068}) otherwise \end{matrix}

Component: Reaction_24

Reaction_24 = k24 {Ca}^{2} Ca2CaM - (k42 Ca4CaM)

k24 = \frac{k42}{Kd24}

Kd24 = \{\begin{matrix} 0.128 (1.0 + \frac{K}{0.64} + \frac{Mg}{0.014}) (1.0 + \frac{K}{13.0} - (\frac{Mg}{0.153})) if Mg ≦ 1.0 \\ 0.128 (1.0 + \frac{K}{0.64} + \frac{Mg - 1.0}{0.005}) \frac{1.0}{0.012} (1.0 + \frac{K}{13.0} + \frac{Mg - 1.0}{0.15} - (\frac{1.0}{0.153})) otherwise \end{matrix}

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

\frac{d}{d time} (CaM) = (1E-3) (- (Reaction_02 + Reaction_0B + Reaction_0CaN))

Component: Ca2CaM

\frac{d}{d time} (Ca2CaM) = (1E-3) (CaMKIItot (Reaction_CKt2a - Reaction_CKib2) + Reaction_02 - (Reaction_24 + Reaction_2B + Reaction_2CaN))

Component: Ca4CaM

\frac{d}{d time} (Ca4CaM) = (1E-3) (CaMKIItot (Reaction_CKta - Reaction_CKib) + Reaction_24 - (Reaction_4CaN + Reaction_4B))

Component: CaMB

\frac{d}{d time} (CaMB) = (1E-3) (Reaction_0B - Reaction_02B)

Component: Ca2CaMB

\frac{d}{d time} (Ca2CaMB) = (1E-3) (Reaction_02B + Reaction_2B - Reaction_24B)

Component: Ca4CaMB

\frac{d}{d time} (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 - (\frac{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 \frac{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 \frac{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 = \frac{kPP1 PP1tot Pt2}{KmPP1 + CaMKIItot Pt2}

Component: Reaction_CKai

Reaction_CKai = \frac{kPP1 PP1tot Pa}{KmPP1 + CaMKIItot Pa}

Component: Pb2

\frac{d}{d time} (Pb2) = (1E-3) (Reaction_CKt2b2 - (Reaction_CKib2 + Reaction_CKb2b))

Component: Pb

\frac{d}{d time} (Pb) = (1E-3) (Reaction_CKib + Reaction_CKb2b - Reaction_CKbt)

Component: Pt

\frac{d}{d time} (Pt) = (1E-3) (- (Reaction_CKbt + Reaction_CKta + Reaction_CKtt2))

Component: Pt2

\frac{d}{d time} (Pt2) = (1E-3) (- (Reaction_CKtt2 + Reaction_CKt2a + Reaction_CKt2b2))

Component: Pa

\frac{d}{d time} (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 = \frac{k20}{160.0}

Component: Reaction_24CaN

Reaction_24CaN = k24CaN {Ca}^{2} Ca2CaMCaN - (k42CaN Ca4CaMCaN)

k24CaN = k24

k42CaN = \frac{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

\frac{d}{d time} (Ca4CaN) = (1E-3) (Reaction_Ca4CaN - (Reaction_0CaN + Reaction_2CaN + Reaction_4CaN))

Component: CaMCaN

\frac{d}{d time} (CaMCaN) = (1E-3) (Reaction_0CaN - Reaction_02CaN)

Component: Ca2CaMCaN

\frac{d}{d time} (Ca2CaMCaN) = (1E-3) (Reaction_2CaN + Reaction_02CaN - Reaction_24CaN)

Component: Ca4CaMCaN

\frac{d}{d time} (Ca4CaMCaN) = (1E-3) (Reaction_4CaN + Reaction_24CaN)

Component: model_parameters

Component: sarcolemma

Component: Reaction_02

Reaction_02 = k02 {Ca}^{2} CaM - (k20 Ca2CaM)

k02 = \frac{k20}{Kd02}

Kd02 = \{\begin{matrix} 0.0025 (1.0 + \frac{K}{0.94} - (\frac{Mg}{0.012})) (1.0 + \frac{K}{8.1} + \frac{Mg}{0.022}) if Mg ≦ 1.0 \\ 0.0025 (1.0 + \frac{K}{0.94} + \frac{Mg - 1.0}{0.06} - (\frac{1.0}{0.012})) (1.0 + \frac{K}{8.1} + \frac{1.0}{0.022} + \frac{Mg - 1.0}{0.068}) otherwise \end{matrix}

Component: Reaction_24

Reaction_24 = k24 {Ca}^{2} Ca2CaM - (k42 Ca4CaM)

k24 = \frac{k42}{Kd24}

Kd24 = \{\begin{matrix} 0.128 (1.0 + \frac{K}{0.64} + \frac{Mg}{0.014}) (1.0 + \frac{K}{13.0} - (\frac{Mg}{0.153})) if Mg ≦ 1.0 \\ 0.128 (1.0 + \frac{K}{0.64} + \frac{Mg - 1.0}{0.005}) \frac{1.0}{0.012} (1.0 + \frac{K}{13.0} + \frac{Mg - 1.0}{0.15} - (\frac{1.0}{0.153})) otherwise \end{matrix}

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

\frac{d}{d time} (CaM) = (1E-3) (- (Reaction_02 + Reaction_0B + Reaction_0CaN))

Component: Ca2CaM

\frac{d}{d time} (Ca2CaM) = (1E-3) (CaMKIItot (Reaction_CKt2a - Reaction_CKib2) + Reaction_02 - (Reaction_24 + Reaction_2B + Reaction_2CaN))

Component: Ca4CaM

\frac{d}{d time} (Ca4CaM) = (1E-3) (CaMKIItot (Reaction_CKta - Reaction_CKib) + Reaction_24 - (Reaction_4CaN + Reaction_4B))

Component: CaMB

\frac{d}{d time} (CaMB) = (1E-3) (Reaction_0B - Reaction_02B)

Component: Ca2CaMB

\frac{d}{d time} (Ca2CaMB) = (1E-3) (Reaction_02B + Reaction_2B - Reaction_24B)

Component: Ca4CaMB

\frac{d}{d time} (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 - (\frac{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 \frac{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 \frac{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 = \frac{kPP1 PP1tot Pt2}{KmPP1 + CaMKIItot Pt2}

Component: Reaction_CKai

Reaction_CKai = \frac{kPP1 PP1tot Pa}{KmPP1 + CaMKIItot Pa}

Component: Pb2

\frac{d}{d time} (Pb2) = (1E-3) (Reaction_CKt2b2 - (Reaction_CKib2 + Reaction_CKb2b))

Component: Pb

\frac{d}{d time} (Pb) = (1E-3) (Reaction_CKib + Reaction_CKb2b - Reaction_CKbt)

Component: Pt

\frac{d}{d time} (Pt) = (1E-3) (- (Reaction_CKbt + Reaction_CKta + Reaction_CKtt2))

Component: Pt2

\frac{d}{d time} (Pt2) = (1E-3) (- (Reaction_CKtt2 + Reaction_CKt2a + Reaction_CKt2b2))

Component: Pa

\frac{d}{d time} (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 = \frac{k20}{160.0}

Component: Reaction_24CaN

Reaction_24CaN = k24CaN {Ca}^{2} Ca2CaMCaN - (k42CaN Ca4CaMCaN)

k24CaN = k24

k42CaN = \frac{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

\frac{d}{d time} (Ca4CaN) = (1E-3) (Reaction_Ca4CaN - (Reaction_0CaN + Reaction_2CaN + Reaction_4CaN))

Component: CaMCaN

\frac{d}{d time} (CaMCaN) = (1E-3) (Reaction_0CaN - Reaction_02CaN)

Component: Ca2CaMCaN

\frac{d}{d time} (Ca2CaMCaN) = (1E-3) (Reaction_2CaN + Reaction_02CaN - Reaction_24CaN)

Component: Ca4CaMCaN

\frac{d}{d time} (Ca4CaMCaN) = (1E-3) (Reaction_4CaN + Reaction_24CaN)

Component: model_parameters

Component: cytosol

Component: Reaction_02

Reaction_02 = k02 {Ca}^{2} CaM - (k20 Ca2CaM)

k02 = \frac{k20}{Kd02}

Kd02 = \{\begin{matrix} 0.0025 (1.0 + \frac{K}{0.94} - (\frac{Mg}{0.012})) (1.0 + \frac{K}{8.1} + \frac{Mg}{0.022}) if Mg ≦ 1.0 \\ 0.0025 (1.0 + \frac{K}{0.94} + \frac{Mg - 1.0}{0.06} - (\frac{1.0}{0.012})) (1.0 + \frac{K}{8.1} + \frac{1.0}{0.022} + \frac{Mg - 1.0}{0.068}) otherwise \end{matrix}

Component: Reaction_24

Reaction_24 = k24 {Ca}^{2} Ca2CaM - (k42 Ca4CaM)

k24 = \frac{k42}{Kd24}

Kd24 = \{\begin{matrix} 0.128 (1.0 + \frac{K}{0.64} + \frac{Mg}{0.014}) (1.0 + \frac{K}{13.0} - (\frac{Mg}{0.153})) if Mg ≦ 1.0 \\ 0.128 (1.0 + \frac{K}{0.64} + \frac{Mg - 1.0}{0.005}) \frac{1.0}{0.012} (1.0 + \frac{K}{13.0} + \frac{Mg - 1.0}{0.15} - (\frac{1.0}{0.153})) otherwise \end{matrix}

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

\frac{d}{d time} (CaM) = (1E-3) (- (Reaction_02 + Reaction_0B + Reaction_0CaN))

Component: Ca2CaM

\frac{d}{d time} (Ca2CaM) = (1E-3) (CaMKIItot (Reaction_CKt2a - Reaction_CKib2) + Reaction_02 - (Reaction_24 + Reaction_2B + Reaction_2CaN))

Component: Ca4CaM

\frac{d}{d time} (Ca4CaM) = (1E-3) (CaMKIItot (Reaction_CKta - Reaction_CKib) + Reaction_24 - (Reaction_4CaN + Reaction_4B))

Component: CaMB

\frac{d}{d time} (CaMB) = (1E-3) (Reaction_0B - Reaction_02B)

Component: Ca2CaMB

\frac{d}{d time} (Ca2CaMB) = (1E-3) (Reaction_02B + Reaction_2B - Reaction_24B)

Component: Ca4CaMB

\frac{d}{d time} (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 - (\frac{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 \frac{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 \frac{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 = \frac{kPP1 PP1tot Pt2}{KmPP1 + CaMKIItot Pt2}

Component: Reaction_CKai

Reaction_CKai = \frac{kPP1 PP1tot Pa}{KmPP1 + CaMKIItot Pa}

Component: Pb2

\frac{d}{d time} (Pb2) = (1E-3) (Reaction_CKt2b2 - (Reaction_CKib2 + Reaction_CKb2b))

Component: Pb

\frac{d}{d time} (Pb) = (1E-3) (Reaction_CKib + Reaction_CKb2b - Reaction_CKbt)

Component: Pt

\frac{d}{d time} (Pt) = (1E-3) (- (Reaction_CKbt + Reaction_CKta + Reaction_CKtt2))

Component: Pt2

\frac{d}{d time} (Pt2) = (1E-3) (- (Reaction_CKtt2 + Reaction_CKt2a + Reaction_CKt2b2))

Component: Pa

\frac{d}{d time} (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 = \frac{k20}{160.0}

Component: Reaction_24CaN

Reaction_24CaN = k24CaN {Ca}^{2} Ca2CaMCaN - (k42CaN Ca4CaMCaN)

k24CaN = k24

k42CaN = \frac{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

\frac{d}{d time} (Ca4CaN) = (1E-3) (Reaction_Ca4CaN - (Reaction_0CaN + Reaction_2CaN + Reaction_4CaN))

Component: CaMCaN

\frac{d}{d time} (CaMCaN) = (1E-3) (Reaction_0CaN - Reaction_02CaN)

Component: Ca2CaMCaN

\frac{d}{d time} (Ca2CaMCaN) = (1E-3) (Reaction_2CaN + Reaction_02CaN - Reaction_24CaN)

Component: Ca4CaMCaN

\frac{d}{d time} (Ca4CaMCaN) = (1E-3) (Reaction_4CaN + Reaction_24CaN)