Table 1. List of parameters used in the model.
Estimated parameters for the N lobe (site: a,b) | Estimated parameters for the C lobe (site: c,d) | ||
---|---|---|---|
Allosteric parameters: | |||
cN | 0.01 | cC | 5 ⋅ 10−5 |
LN | 299 | LC | 195865 |
Dissociation constants of calcium from calcium lobes: | |||
KNT | 9.38 ⋅ 10−5 M | KCT | 9.38 ⋅ 10−5 M |
KNR | KNT × cN = 9.38 ⋅ 10−7 M | KCR | KCT × cC = 4.69 ⋅ 10−9 M |
Calcium binding rates: | |||
kon_N | 1.22 ⋅ 1010 M−1 ⋅ s−1 | kon_C | 1.22 ⋅ 108 M−1 ⋅ s−1 |
Calcium dissociation rates: | |||
koff_NT | 1.14 ⋅ 106 s−1 | koff_CT | 1.14 ⋅ 104 s−1 |
koff_NR | 1.14 ⋅ 104 s−1 | koff_CR | 0.6 s−1 |
CaM state transition rates (0,1,2: number of calcium ions bound to that lobe): | |||
k_TtoR_N0 | 316227 s−1 | k_TtoR_C0 | 316227 s−1 |
k_RtoT_N0 | k_TtoR_N0 ⋅ LN ≈ 9.46 ⋅ 107 s−1 | k_RtoT_C0 | k_TtoR_C0 ⋅ LC ≈ 6.2 ⋅ 1010 s−1 |
k_TtoR_N1 | k_TtoR_C1 | ||
k_RtoT_N1 | k_RtoT_C1 | ||
k_TtoR_N2 | k_TtoR_N0/cN ≈ 3.16 ⋅ 107 s−1 s−1 | k_TtoR_C2 | k_TtoR_C0/cC ≈ 6.32 ⋅ 109 s−1 |
k_RtoT_N2 | k_RtoT_N0 ⋅ cN ≈ 9.46 ⋅ 105 s−1 | k_R2T_C2 | k_R2T_C0 ⋅ cC ≈ 3.1 ⋅ 106 s−1 |
Parameters relating to CaM-binding substrates: | |||
k_CaMKII_autop | adjusted_coefficient × 6.3 s−1 | This is adjusted at each time step during simulation. Base rate is from [62]. | |
koff_CaMKII_RR | 1.1 s−1 | CaMKII’s dissociation rate from active CaM [58]. | |
kon_CaMKII_RR | 2.87 ⋅ 106 M−1 ⋅ s−1 | Estimated CaMKII’s binding rate to active CaM | |
koff_CaMKIIp_RR | 8.7 ⋅ 10−5 s−1 | Thr286-phospho-CaMKII’s dissociation rate from active CaM [58] | |
kon_CaMKIIp_RR | 3.85 ⋅ 107 M−1 ⋅ s−1 | Estimated Thr286-phospho-CaMKII’s binding rate to active CaM | |
kon_CaN_Ca1, 2, 3, 4 | 2 ⋅ 107 M−1 ⋅ s−1 | CaN B’s binding rate to Ca [10] | |
koff_CaN_Ca | 0.0092 s−1 | [10] | |
koff_CaN_Ca_Ca | 0.0312 s−1 | [10] | |
koff_CaN_Ca2_Ca | 0.352 s−1 | [10] | |
koff_CaN_Ca3_Ca | 0.9 s−1 | [10] | |
kon_CaN_RR | 2.3 ⋅ 107 M−1 ⋅ s−1 | Estimated CaN’s binding rate to activated CaM | |
Kd_CaN_RR | 3.26 ⋅ 10−9 M | Estimated CaN’s dissociation constant from activated CaM | |
kon_Ng_RT kon_Ng_TT |
1 ⋅ 1014 M−1 ⋅ s−1 | Estimated Ng’s binding rate to CaM when C lobe is closed | |
Kd_Ng_RT Kd_Ng_TT |
1.2 ⋅ 10−6 M | Estimated Ng’s dissociation constant from CaM, when C lobe is closed | |
kcat_CaN_CaMKIIp | 0.8 s−1 | CaN’s catalytic efficiency on dephosphorylating CaMKII Used in this paper |
|
Km_CaN_CaMKIIp | 2 ⋅ 10−5 M | CaN’s Michaelis-Menten constant on dephosphorylating CaMKII Used in this paper |
|
Concentrations used in the model (unless specified): | |||
basal Ca 2+ | 8 ⋅ 10−8 M [63] | CaM | 4 ⋅ 10−5 M [64] |
CaN | 8 ⋅ 10−6 M [64] | CaMKII | 8 ⋅ 10−5 M [64] |
Ng | 4 ⋅ 10−5 M [64] | compartment volume | 1 ⋅ 10−15 L |
Other Parameters): | |||
Ca 2+ leak | → Ca 2+ | 3.85 ⋅ 10−6 M ⋅ s−1 | |
Ca 2+ pump | Ca 2+ → | Km = 2 ⋅ 10−6 M | Vmax = 1 ⋅ 10−4 M ⋅ s−1 |
For parameter estimations, please see the method and supplementary sections. R: open; T: closed. When combined, the first letter indicates the state of CaM’s N lobe while the second one indicates the state of the C lobe. Since kon, koff, and Kd are linked (Kd = koff/kon), only two of these three are displayed, depending on which ones were actually estimated. For parameters concerning sequential dissociation of Ca2+ ions from CaN, the first “Ca” indicates the number of Ca2+ ions bound to CaN, the second “Ca” shows the one dissociating from CaN.