heldt1
The SBML for this model was obtained from the BioModels database (BioModels ID: BIOMD0000000463) Biomodels notes: Figure 2B of the reference publication is reproduced here. To obtain the figure, set kDegRnp and kSynP to zero. Note that, the model has time units in hrs and in the plot it is 120 mins. So, the model simulation has to be run for 2 hrs (=120mins). The model was simulated using Copasi v4.10 (Build 55) and the plots were obtained using Gnuplot. JWS Online curation: This model was curated by reproducing the figures as described in the BioModels Notes. Only the curves Vex and Ven were added.
substance
time
volume
area
length
substance
| Simulation | |
|---|---|
| heldt2012_Fig2B |
Unit definitions have no effect on the numerical analysis of the model. It remains the responsibility of the modeler to ensure the internal numerical consistency of the model. If units are provided, however, the consistency of the model units will be checked.
| Name | Definition | |
|---|---|---|
| — | 1.0 metre | |
| — | 1.0 metre^(2.0) | |
| — | 1.0 dimensionless | |
| — | 3600.0 second | |
| — | 1.0 dimensionless | |
| — | 1.0 litre | |
| — | 1.0 mole |
| Id | Name | Spatial dimensions | Size | |
|---|---|---|---|---|
| compartment_1 | cell | 3.0 | 1.0 litre |
| Id | Name | Initial quantity | Compartment | Fixed | |
|---|---|---|---|---|---|
| species_1 | Bhi | 150.0 mole/litre | compartment_1 (cell) | ✘ | |
| species_10 | Rc | 0.0 mole/litre | compartment_1 (cell) | ✘ | |
| species_11 | P_Rdrp | 0.0 mole/litre | compartment_1 (cell) | ✘ | |
| species_12 | RcRdrp | 0.0 mole/litre | compartment_1 (cell) | ✘ | |
| species_13 | P_Np | 0.0 mole/litre | compartment_1 (cell) | ✘ | |
| species_14 | P_M1 | 0.0 mole/litre | compartment_1 (cell) | ✘ | |
| species_15 | VpNucM1 | 0.0 mole/litre | compartment_1 (cell) | ✘ | |
| species_16 | VpCytM1 | 0.0 mole/litre | compartment_1 (cell) | ✘ | |
| species_17 | Cp | 0.0 mole/litre | compartment_1 (cell) | ✘ | |
| species_18 | Rv | 0.0 mole/litre | compartment_1 (cell) | ✘ | |
| species_19 | RvRdrp | 0.0 mole/litre | compartment_1 (cell) | ✘ | |
| species_2 | VattHi | 0.0 mole/litre | compartment_1 (cell) | ✘ | |
| species_20 | Rm1 | 0.0 mole/litre | compartment_1 (cell) | ✘ | |
| species_21 | Rm2 | 0.0 mole/litre | compartment_1 (cell) | ✘ | |
| species_22 | Rm3 | 0.0 mole/litre | compartment_1 (cell) | ✘ | |
| species_23 | Rm4 | 0.0 mole/litre | compartment_1 (cell) | ✘ | |
| species_24 | Rm5 | 0.0 mole/litre | compartment_1 (cell) | ✘ | |
| species_25 | Rm6 | 0.0 mole/litre | compartment_1 (cell) | ✘ | |
| species_26 | Rm7 | 0.0 mole/litre | compartment_1 (cell) | ✘ | |
| species_27 | Rm8 | 0.0 mole/litre | compartment_1 (cell) | ✘ | |
| species_28 | P_Pb1 | 0.0 mole/litre | compartment_1 (cell) | ✘ | |
| species_29 | P_Pb2 | 0.0 mole/litre | compartment_1 (cell) | ✘ | |
| species_3 | Vex | 10.0 mole/litre | compartment_1 (cell) | ✘ | |
| species_30 | P_Pa | 0.0 mole/litre | compartment_1 (cell) | ✘ | |
| species_31 | P_Nep | 0.0 mole/litre | compartment_1 (cell) | ✘ | |
| species_32 | P_Ha | 0.0 mole/litre | compartment_1 (cell) | ✘ | |
| species_33 | P_Na | 0.0 mole/litre | compartment_1 (cell) | ✘ | |
| species_34 | P_M2 | 0.0 mole/litre | compartment_1 (cell) | ✘ | |
| species_35 | Vrel | 0.0 mole/litre | compartment_1 (cell) | ✘ | |
| species_36 | total cRNA | <assignment rule> mole/litre | compartment_1 (cell) | ✔ | |
| species_37 | total cRNA of a segment | <assignment rule> mole/litre | compartment_1 (cell) | ✔ | |
| species_38 | total vRNA | <assignment rule> mole/litre | compartment_1 (cell) | ✔ | |
| species_39 | total vRNA of a segment | <assignment rule> mole/litre | compartment_1 (cell) | ✔ | |
| species_4 | Blo | 1000.0 mole/litre | compartment_1 (cell) | ✘ | |
| species_5 | VattLo | 0.0 mole/litre | compartment_1 (cell) | ✘ | |
| species_6 | Ven | 0.0 mole/litre | compartment_1 (cell) | ✘ | |
| species_7 | Vfus | 0.0 mole/litre | compartment_1 (cell) | ✘ | |
| species_8 | VpCyt | 0.0 mole/litre | compartment_1 (cell) | ✘ | |
| species_9 | VpNuc | 0.0 mole/litre | compartment_1 (cell) | ✘ |
Initial assignments are expressions that are evaluated at time=0. It is not recommended to create initial assignments for all model entities. Restrict the use of initial assignments to cases where a value is expressed in terms of values or sizes of other model entities. Note that it is not permitted to have both an initial assignment and an assignment rule for a single model entity.
| Definition |
|---|
| Id | Name | Objective coefficient | Reaction Equation and Kinetic Law | Flux bounds | |
|---|---|---|---|---|---|
| reaction_1 | Binding of virions to high-affinity sites | species_3 + species_1 = species_2 compartment_1 * (parameter_1 * species_3 * species_1 - parameter_3 * species_2) | |||
| reaction_10 | Binding of NP to RdRp-cRNA complexes | species_12 + {71.0}species_13 > species_17 compartment_1 * function_1(parameter_13, species_12, species_13) | |||
| reaction_11 | Binding of M1 to vRNPs in the nucleus | species_9 + {8.5}species_14 > species_15 compartment_1 * function_1(parameter_14, species_9, species_14) | |||
| reaction_12 | Nuclear export of vRNPs | species_15 + species_31 > species_16 compartment_1 * parameter_15 * species_15 * species_31 | |||
| reaction_13 | Synthesis of vRNA | species_17 > species_17 + species_18 compartment_1 * parameter_10 * species_17 | |||
| reaction_14 | Binding of polymerase to nascent vRNA | species_18 + species_11 > species_19 compartment_1 * parameter_12 * species_18 * species_11 | |||
| reaction_15 | Binding of NP to RdRp-vRNA complexes | species_19 + {71.0}species_13 > species_9 compartment_1 * function_1(parameter_13, species_19, species_13) | |||
| reaction_16 | Synthesis of mRNA of segment 1 | species_9 > species_9 + species_20 compartment_1 * parameter_39 * species_9 | |||
| reaction_17 | Synthesis of mRNA of segment 2 | species_9 > species_9 + species_21 compartment_1 * parameter_40 * species_9 | |||
| reaction_18 | Synthesis of mRNA of segment 3 | species_9 > species_9 + species_22 compartment_1 * parameter_41 * species_9 | |||
| reaction_19 | Synthesis of mRNA of segment 4 | species_9 > species_9 + species_23 compartment_1 * parameter_42 * species_9 | |||
| reaction_2 | Binding of virions to low-affinity sites | species_3 + species_4 = species_5 compartment_1 * (parameter_2 * species_3 * species_4 - parameter_4 * species_5) | |||
| reaction_20 | Synthesis of mRNA of segment 5 | species_9 > species_9 + species_24 compartment_1 * parameter_43 * species_9 | |||
| reaction_21 | Synthesis of mRNA of segment 6 | species_9 > species_9 + species_25 compartment_1 * parameter_44 * species_9 | |||
| reaction_22 | Synthesis of mRNA of segment 7 | species_9 > species_9 + species_26 compartment_1 * parameter_45 * species_9 | |||
| reaction_23 | Synthesis of mRNA of segment 8 | species_9 > species_9 + species_27 compartment_1 * parameter_46 * species_9 | |||
| reaction_24 | Synthesis of PB1 | species_21 > species_21 + species_28 compartment_1 * parameter_16 * species_21 | |||
| reaction_25 | Synthesis of PB2 | species_20 > species_20 + species_29 compartment_1 * parameter_16 * species_20 | |||
| reaction_26 | Synthesis of PA | species_22 > species_22 + species_30 compartment_1 * parameter_16 * species_22 | |||
| reaction_27 | Formation of polymerases | species_28 + species_29 + species_30 > species_11 compartment_1 * parameter_17 * species_28 * species_29 * species_30 | |||
| reaction_28 | Synthesis of NP | species_24 > species_24 + species_13 compartment_1 * parameter_16 * species_24 | |||
| reaction_29 | Synthesis of M1 | species_26 > species_26 + species_14 compartment_1 * parameter_27 * species_26 | |||
| reaction_3 | Endocytosis of virions bound to high-affinity sites | species_2 > species_6 + species_1 compartment_1 * parameter_5 * species_2 | |||
| reaction_30 | Synthesis of NEP | species_27 > species_27 + species_31 compartment_1 * parameter_29 * species_27 | |||
| reaction_31 | Synthesis of HA | species_23 > species_23 + species_32 compartment_1 * parameter_16 * species_23 | |||
| reaction_32 | Synthesis of NA | species_25 > species_25 + species_33 compartment_1 * parameter_16 * species_25 | |||
| reaction_33 | Synthesis of M2 | species_26 > species_26 + species_34 compartment_1 * parameter_28 * species_26 | |||
| reaction_34 | Virus release | {8.0}species_16 + {37.0}species_11 + {433.0}species_13 + {2932.0}species_14 + {157.0}species_31 + {500.0}species_32 + {100.0}species_33 + {40.0}species_34 > species_35 compartment_1 * function_2(parameter_18, species_16, species_11, KmB, species_32, KmC, species_13, KmD, species_33, KmE, species_14, KmF, species_34, KmG, species_31, KmH) | |||
| reaction_35 | Degradation of vRNPs in the nucleus | species_9 > ∅ compartment_1 * parameter_20 * species_9 | |||
| reaction_36 | Degradation of nascent cRNA | species_10 > ∅ compartment_1 * parameter_19 * species_10 | |||
| reaction_37 | Degradation of nascent vRNA | species_18 > ∅ compartment_1 * parameter_19 * species_18 | |||
| reaction_38 | Degradation of RdRp-cRNA | species_12 > ∅ compartment_1 * parameter_22 * species_12 | |||
| reaction_39 | Degradation of RdRp-vRNA | species_19 > ∅ compartment_1 * parameter_22 * species_19 | |||
| reaction_4 | Endocytosis of virions bound to low-affinity sites | species_5 > species_6 + species_4 compartment_1 * parameter_5 * species_5 | |||
| reaction_40 | Degradation of cRNPs | species_17 > ∅ compartment_1 * parameter_20 * species_17 | |||
| reaction_41 | Degradation of M1-vRNP complexes in the nucleus | species_15 > ∅ compartment_1 * parameter_20 * species_15 | |||
| reaction_42 | Degradation of M1-vRNP complexes in the cytoplasm | species_16 > ∅ compartment_1 * parameter_20 * species_16 | |||
| reaction_43 | Degradation of mRNA of segment 1 | species_20 > ∅ compartment_1 * parameter_21 * species_20 | |||
| reaction_44 | Degradation of mRNA of segment 2 | species_21 > ∅ compartment_1 * parameter_21 * species_21 | |||
| reaction_45 | Degradation of mRNA of segment 3 | species_22 > ∅ compartment_1 * parameter_21 * species_22 | |||
| reaction_46 | Degradation of mRNA of segment 4 | species_23 > ∅ compartment_1 * parameter_21 * species_23 | |||
| reaction_47 | Degradation of mRNA of segment 5 | species_24 > ∅ compartment_1 * parameter_21 * species_24 | |||
| reaction_48 | Degradation of mRNA of segment 6 | species_25 > ∅ compartment_1 * parameter_21 * species_25 | |||
| reaction_49 | Degradation of mRNA of segment 7 | species_26 > ∅ compartment_1 * parameter_21 * species_26 | |||
| reaction_5 | Fusion of virions with endosomes | species_6 > species_7 + {8.0}species_8 compartment_1 * parameter_6 * species_6 | |||
| reaction_50 | Degradation of mRNA of segment 8 | species_27 > ∅ compartment_1 * parameter_21 * species_27 | |||
| reaction_6 | Degradation of virions in endosomes | species_6 > ∅ compartment_1 * parameter_7 * species_6 | |||
| reaction_7 | Nuclear import of vRNPs | species_8 > species_9 compartment_1 * parameter_8 * species_8 | |||
| reaction_8 | Synthesis of cRNA | species_9 > species_9 + species_10 compartment_1 * parameter_11 * species_9 | |||
| reaction_9 | Binding of polymerase to nascent cRNA | species_10 + species_11 > species_12 compartment_1 * parameter_12 * species_10 * species_11 |
| Id | Value | |
|---|---|---|
| parameter_1 | 0.0809 | |
| parameter_10 | 13.86 | |
| parameter_11 | 1.38 | |
| parameter_12 | 1.0 | |
| parameter_13 | 0.000301 | |
| parameter_14 | 0.00000139 | |
| parameter_15 | 0.000001 | |
| parameter_16 | 405.0 | |
| parameter_17 | 1.0 | |
| parameter_18 | 0.0037 | |
| parameter_19 | 36.36 | |
| parameter_2 | 0.000455 | |
| parameter_20 | 0.09 | |
| parameter_21 | 0.33 | |
| parameter_22 | 4.25 | |
| parameter_23 | 0.51 | |
| parameter_24 | 160.0 | |
| parameter_25 | 0.02 | |
| parameter_26 | 0.125 | |
| parameter_27 | 396.9 | |
| parameter_28 | 8.1 | |
| parameter_29 | 50.625 | |
| parameter_3 | 7.15929203539823 | |
| parameter_30 | 2320.0 | |
| parameter_31 | 2320.0 | |
| parameter_32 | 2211.0 | |
| parameter_33 | 1757.0 | |
| parameter_34 | 1540.0 | |
| parameter_35 | 1392.0 | |
| parameter_36 | 1005.0 | |
| parameter_37 | 868.0 | |
| parameter_38 | 250000.0 | |
| parameter_39 | 13.4698275862069 | |
| parameter_4 | 5.46218487394958 | |
| parameter_40 | 13.4698275862069 | |
| parameter_41 | 14.1338760741746 | |
| parameter_42 | 17.7859988616961 | |
| parameter_43 | 20.2922077922078 | |
| parameter_44 | 22.4497126436782 | |
| parameter_45 | 31.0945273631841 | |
| parameter_46 | 36.0023041474654 | |
| parameter_47 | 0.0113 | |
| parameter_48 | 0.0000833 | |
| parameter_5 | 4.8 | |
| parameter_6 | 3.21 | |
| parameter_7 | 3.08411764705882 | |
| parameter_8 | 6.0 | |
| parameter_9 | 64800.0 |
| Id | Value | Reaction | |
|---|---|---|---|
| KmB | 450.0 | reaction_34 (Virus release) | |
| KmC | 5000.0 | reaction_34 (Virus release) | |
| KmD | 10000.0 | reaction_34 (Virus release) | |
| KmE | 1000.0 | reaction_34 (Virus release) | |
| KmF | 30000.0 | reaction_34 (Virus release) | |
| KmG | 400.0 | reaction_34 (Virus release) | |
| KmH | 1650.0 | reaction_34 (Virus release) |
| Definition | |
|---|---|
| parameter_7 = (1.0 - parameter_23) / parameter_23 * parameter_6 | |
| parameter_4 = parameter_2 / parameter_48 | |
| parameter_3 = parameter_1 / parameter_47 | |
| parameter_16 = parameter_9 / parameter_24 | |
| species_37 = species_36 / 8.0 | |
| species_39 = species_38 / 8.0 | |
| species_36 = species_10 + species_12 + species_17 | |
| species_38 = 8.0 * (species_2 + species_5 + species_6) + species_8 + species_9 + species_18 + species_19 + species_15 + species_16 | |
| parameter_45 = parameter_38 / parameter_36 / 8.0 | |
| parameter_29 = parameter_9 / parameter_24 * parameter_26 | |
| parameter_28 = parameter_9 / parameter_24 * parameter_25 | |
| parameter_42 = parameter_38 / parameter_33 / 8.0 | |
| parameter_39 = parameter_38 / parameter_30 / 8.0 | |
| parameter_41 = parameter_38 / parameter_32 / 8.0 | |
| parameter_40 = parameter_38 / parameter_31 / 8.0 | |
| parameter_46 = parameter_38 / parameter_37 / 8.0 | |
| parameter_27 = parameter_9 / parameter_24 * (1.0 - parameter_25) | |
| parameter_44 = parameter_38 / parameter_35 / 8.0 | |
| parameter_43 = parameter_38 / parameter_34 / 8.0 |
| Definition |
|---|
| Definition |
|---|
| Definition | |
|---|---|
| function_2(k, substrateA, substrateB, KmB, substrateC, KmC, substrateD, KmD, substrateE, KmE, substrateF, KmF, substrateG, KmG, substrateH, KmH) = k * substrateA * substrateB * substrateC * substrateD * substrateE * substrateF * substrateG * substrateH / ((substrateB + KmB) * (substrateC + KmC) * (substrateD + KmD) * (substrateE + KmE) * (substrateF + KmF) * (substrateG + KmG) * (substrateH + KmH)) | |
| function_1(k, substratea, substrateb) = k * substratea * substrateb |
| Trigger | Assignments |
|---|