bray1

The SBML for this model was obtained from the BioModels database (BioModels ID: BIOMD0000000200) Biomodels notes: Figure 4 of the original paper is reproduced for receptor-Tar, CheW) and CheA against Bias. The plot denotes the 12-reaction network model.

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Abstract
The chemotactic response of bacteria is mediated by complexes containing two molecules each of a transmembrane receptor and the intracellular signaling proteins CheA and CheW. Mutants in which one or the other of the proteins of this complex are absent, inactive, or expressed at elevated amounts show altered chemotactic behavior and the phenotypes are difficult to interpret for some overexpression mutants. We have examined the possibility that these unexpected phenotypes might arise from the binding steps that lead to active complex formation. A limited genetic algorithm was used to search for sets of binding reactions and associated binding constants expected to give mutant phenotypes in accord with experimental data. Different sets of binding equilibria and different assumptions about the activity of particular receptor complexes were tried. Computer analysis demonstrated that it is possible to obtain sets of binding equilibria consistent with the observed phenotypes and provided a simple explanation for these phenotypes in terms of the distribution of active and inactive complexes formed under various conditions. Optimization methods of this kind offer a unique way to analyze reactions taking place inside living cells based on behavioral data.

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 litre mole^(-1.0) second^(-1.0)
1.0 second^(-1.0)
1e-15 litre
1.0 mole litre^(-1.0)
1.0 mole litre^(-1.0) second^(-1.0)
1.0 dimensionless
Id Name Spatial dimensions Size
cell cell 3.0 1.41
Id Name Initial quantity Compartment Fixed
AA AA 0.0000025 cell (cell)
AAp AAp 0.0 cell (cell)
B B 0.000002 cell (cell)
Bp Bp 0.0 cell (cell)
SetYp setYp 0.00000163 cell (cell)
TT TT 0.0000025 cell (cell)
TTAA TTAA 0.0 cell (cell)
TTAAp TTAAp 0.0 cell (cell)
TTW TTW 0.0 cell (cell)
TTWAA TTWAA 0.0 cell (cell)
TTWAAp TTWAAp 0.0 cell (cell)
TTWW TTWW 0.0 cell (cell)
TTWWAA TTWWAA 0.0 cell (cell)
TTWWAAp TTWWAAp 0.0 cell (cell)
W W 0.000005 cell (cell)
WAA WAA 0.0 cell (cell)
WAAp WAAp 0.0 cell (cell)
WWAA WWAA 0.0 cell (cell)
WWAAp WWAAp 0.0 cell (cell)
Y Y 0.00001 cell (cell)
Yp Yp 0.0 cell (cell)
Z Z 0.00002 cell (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
complex_r1 complex_r1 TTW = TT + W

cell * (k1 * TTW - k2 * TT * W)
complex_r10 complex_r10 TTWW = TTW + W

cell * (k1 * TTWW - k2 * TTW * W)
complex_r11 complex_r11 WWAA = W + WAA

cell * (k1 * WWAA - k2 * W * WAA)
complex_r12 complex_r12 TTWAA = TTAA + W

cell * (k1 * TTWAA - k2 * TTAA * W)
complex_r2 complex_r2 WAA = W + AA

cell * (k1 * WAA - k2 * W * AA)
complex_r3 complex_r3 TTWAA = TT + WAA

cell * (k1 * TTWAA - k2 * TT * WAA)
complex_r4 complex_r4 TTWWAA = TTW + WAA

cell * (k1 * TTWWAA - k2 * TTW * WAA)
complex_r5 complex_r5 TTWWAA = TTWW + AA

cell * (k1 * TTWWAA - k2 * TTWW * AA)
complex_r6 complex_r6 TTWWAA = TT + WWAA

cell * (k1 * TTWWAA - k2 * TT * WWAA)
complex_r7 complex_r7 TTAA = TT + AA

cell * (k1 * TTAA - k2 * TT * AA)
complex_r8 complex_r8 TTWAA = TTW + AA

cell * (k1 * TTWAA - k2 * TTW * AA)
complex_r9 complex_r9 TTWWAA = TTWAA + W

cell * (k1 * TTWWAA - k2 * TTWAA * W)
phosphorylation_r1 phosphorylation_r1 TTWWAA > TTWWAAp

cell * k1 * TTWWAA
phosphorylation_r10 phosphorylation_r10 Bp > B

cell * k1 * Bp
phosphorylation_r2 phosphorylation_r2 AA > AAp

cell * k1 * AA
phosphorylation_r3 phosphorylation_r3 WAA > WAAp

cell * k1 * WAA
phosphorylation_r4 phosphorylation_r4 WWAA > WWAAp

cell * k1 * WWAA
phosphorylation_r5 phosphorylation_r5 TTAA > TTAAp

cell * k1 * TTAA
phosphorylation_r6 phosphorylation_r6 TTWAA > TTWAAp

cell * k1 * TTWAA
phosphorylation_r7 phosphorylation_r7 Y > Yp

cell * k1 * Y
phosphorylation_r8 phosphorylation_r8 Yp > Y

cell * k1 * Yp
phosphorylation_r9 phosphorylation_r9 Yp + Z > Y + Z

cell * k1 * Yp * Z
phosphotransfer_r1 phosphotransfer_r1 B + AAp > Bp + AA

cell * k1 * B * AAp
phosphotransfer_r10 phosphotransfer_r10 Y + TTAAp > Yp + TTAA

cell * k1 * Y * TTAAp
phosphotransfer_r11 phosphotransfer_r11 Y + TTWAAp > Yp + TTWAA

cell * k1 * Y * TTWAAp
phosphotransfer_r12 phosphotransfer_r12 Y + TTWWAAp > Yp + TTWWAA

cell * k1 * Y * TTWWAAp
phosphotransfer_r2 phosphotransfer_r2 B + WAAp > Bp + WAA

cell * k1 * B * WAAp
phosphotransfer_r3 phosphotransfer_r3 B + WWAAp > Bp + WWAA

cell * k1 * B * WWAAp
phosphotransfer_r4 phosphotransfer_r4 B + TTAAp > Bp + TTAA

cell * k1 * B * TTAAp
phosphotransfer_r5 phosphotransfer_r5 B + TTWAAp > Bp + TTWAA

cell * k1 * B * TTWAAp
phosphotransfer_r6 phosphotransfer_r6 B + TTWWAAp > Bp + TTWWAA

cell * k1 * B * TTWWAAp
phosphotransfer_r7 phosphotransfer_r7 Y + AAp > Yp + AA

cell * k1 * Y * AAp
phosphotransfer_r8 phosphotransfer_r8 Y + WAAp > Yp + WAA

cell * k1 * Y * WAAp
phosphotransfer_r9 phosphotransfer_r9 Y + WWAAp > Yp + WWAA

cell * k1 * Y * WWAAp

Global parameters

Id Value
Bias <assignment rule> dimensionless
Hill 4.0

Local parameters

Id Value Reaction
k1 0.00365 persec complex_r1 (complex_r1)
k2 1000000.0 perMpersec complex_r1 (complex_r1)
k1 0.00894 persec complex_r2 (complex_r2)
k2 1000000.0 perMpersec complex_r2 (complex_r2)
k1 297.0 persec complex_r3 (complex_r3)
k2 1000000.0 perMpersec complex_r3 (complex_r3)
k1 0.64 persec complex_r4 (complex_r4)
k2 1000000.0 perMpersec complex_r4 (complex_r4)
k1 0.112 persec complex_r5 (complex_r5)
k2 1000000.0 perMpersec complex_r5 (complex_r5)
k1 0.0229 persec complex_r6 (complex_r6)
k2 1000000.0 perMpersec complex_r6 (complex_r6)
k1 39.3 persec complex_r7 (complex_r7)
k2 1000000.0 perMpersec complex_r7 (complex_r7)
k1 727.0 persec complex_r8 (complex_r8)
k2 1000000.0 perMpersec complex_r8 (complex_r8)
k1 7.87e-06 persec complex_r9 (complex_r9)
k2 1000000.0 perMpersec complex_r9 (complex_r9)
k1 0.0511 persec complex_r10 (complex_r10)
k2 1000000.0 perMpersec complex_r10 (complex_r10)
k1 0.102 persec complex_r11 (complex_r11)
k2 1000000.0 perMpersec complex_r11 (complex_r11)
k1 0.0676 persec complex_r12 (complex_r12)
k2 1000000.0 perMpersec complex_r12 (complex_r12)
k1 15.5 persec phosphorylation_r1 (phosphorylation_r1)
k1 0.0227 persec phosphorylation_r2 (phosphorylation_r2)
k1 0.0227 persec phosphorylation_r3 (phosphorylation_r3)
k1 0.0227 persec phosphorylation_r4 (phosphorylation_r4)
k1 0.0227 persec phosphorylation_r5 (phosphorylation_r5)
k1 0.0227 persec phosphorylation_r6 (phosphorylation_r6)
k1 0.00124 persec phosphorylation_r7 (phosphorylation_r7)
k1 0.037 persec phosphorylation_r8 (phosphorylation_r8)
k1 500000.0 perMpersec phosphorylation_r9 (phosphorylation_r9)
k1 0.35 persec phosphorylation_r10 (phosphorylation_r10)
k1 6000000.0 perMpersec phosphotransfer_r1 (phosphotransfer_r1)
k1 6000000.0 perMpersec phosphotransfer_r2 (phosphotransfer_r2)
k1 6000000.0 perMpersec phosphotransfer_r3 (phosphotransfer_r3)
k1 6000000.0 perMpersec phosphotransfer_r4 (phosphotransfer_r4)
k1 6000000.0 perMpersec phosphotransfer_r5 (phosphotransfer_r5)
k1 6000000.0 perMpersec phosphotransfer_r6 (phosphotransfer_r6)
k1 30000000.0 perMpersec phosphotransfer_r7 (phosphotransfer_r7)
k1 30000000.0 perMpersec phosphotransfer_r8 (phosphotransfer_r8)
k1 30000000.0 perMpersec phosphotransfer_r9 (phosphotransfer_r9)
k1 30000000.0 perMpersec phosphotransfer_r10 (phosphotransfer_r10)
k1 30000000.0 perMpersec phosphotransfer_r11 (phosphotransfer_r11)
k1 30000000.0 perMpersec phosphotransfer_r12 (phosphotransfer_r12)

Assignment rules

Definition
Bias = 1.0 - pow(Yp, Hill) / (2.333 * pow(SetYp, Hill) + pow(Yp, Hill))

Rate rules

Definition

Algebraic rules

Definition
Trigger Assignments