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. 2011 Aug 25;6(8):e23795. doi: 10.1371/journal.pone.0023795

Table 2. Summary of state variable reductions.

Variable Reduction Process
(1) L (Iso) (alg) Converted to parameter with assumption L≈Ltot
(2) β1ARfree (alg) Solved analytically using conservation of mass
(3) Gs (alg) Converted to parameter with assumption Gs≈Gtot
(4) β1ARtot (ode) Solved analytically using conservation of mass
(5) β1ARd (ode) Equation not reduced
(6) β1ARp (ode) Equation not reduced
(7)Gsαgtptot (ode) Equation not reduced
(8) Gsαgdp (ode) Removed with assumption Gsagdp <<Gs
(9) Gsβγ (ode) Removed with assumption Gsβγ ≈ Gsαgtptot
(10) Gsαgtp (alg) Converted to an explicit linear equation based on Gsαgtptot using conc. clamps
(11) Fsk (alg) Converted to parameter with assumption Fsk≈Fsktot
(12) AC (alg) Solved analytically using conservation of mass
(13) PDE (alg) Solved analytically using conservation of mass
(14) IBMX (alg) Converted to parameter with assumption IBMX≈IBMXtot
(15) cAMPtot (ode) Equation not reduced
(16) cAMPfree (alg) Converted to an explicit power equation based on cAMPtot using conc. clamps
(17) PKA1 (alg) Converted to a Hill equation based on cAMPtot using conc. clamps
(18) PKA2 (alg) Converted to a Hill equation based on cAMPtot using conc. clamps
(19) PLBp (ode) Reduced to a Hill equation based on PKA1 using conc. clamps (4-var model only)
(20) Inhib1ptot (ode) Reduced to a Hill equation based on PKA1 using conc. clamps
(21) Inhib1p (alg) Converted to a Hill equation based on PKA1 using conc. clamps
(22) PP1 (alg) Analytically solved by rearranging parameters
(23) LCCap (ode) Reduced to a Hill equation based on PKA2 using conc. clamps
(24) LCCbp (ode) Reduced to a Hill equation based on PKA2 using conc. clamps
(25) TnIp (ode) Reduced to a Hill equation based on PKA1 using conc. clamps (4-var model only)