yugi1

The SBML for this model was obtained from the BioModels database (BioModels ID: BIOMD0000000540) Biomodels notes: The time course of [F1,6BP] based on experimental data, for the varying concentrations of insulin (0.01 nM (blue) and 1 nM (green), as presented in Figure 6C (solid blue and green plot) of the reference publication, is reproduced here. The model as such reproduces the green plot (1 nM insulin). The model with 0.01 nM insulin concentration that was used to obtain the blue plot is provided as additional file (see below). JWS Online curation: This model was curated by reproducing the figures as described in the BioModels Notes. No additional changes were made.

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Reconstruction of insulin signal flow from phosphoproteome and metabolome data.

  • Katsuyuki Yugi
  • Hiroyuki Kubota
  • Yu Toyoshima
  • Rei Noguchi
  • Kentaro Kawata
  • Yasunori Komori
  • Shinsuke Uda
  • Katsuyuki Kunida
  • Yoko Tomizawa
  • Yosuke Funato
  • Hiroaki Miki
  • Masaki Matsumoto
  • Keiichi I Nakayama
  • Kasumi Kashikura
  • Keiko Endo
  • Kazutaka Ikeda
  • Tomoyoshi Soga
  • Shinya Kuroda
Cell Rep 2014; 8 (4): 1171-1183
Abstract
Cellular homeostasis is regulated by signals through multiple molecular networks that include protein phosphorylation and metabolites. However, where and when the signal flows through a network and regulates homeostasis has not been explored. We have developed a reconstruction method for the signal flow based on time-course phosphoproteome and metabolome data, using multiple databases, and have applied it to acute action of insulin, an important hormone for metabolic homeostasis. An insulin signal flows through a network, through signaling pathways that involve 13 protein kinases, 26 phosphorylated metabolic enzymes, and 35 allosteric effectors, resulting in quantitative changes in 44 metabolites. Analysis of the network reveals that insulin induces phosphorylation and activation of liver-type phosphofructokinase 1, thereby controlling a key reaction in glycolysis. We thus provide a versatile method of reconstruction of signal flow through the network using phosphoproteome and metabolome 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 mole
1.0 litre
1.0 metre^(2.0)
1.0 metre
1.0 second
1.0 dimensionless
Id Name Spatial dimensions Size
default 3.0 1.0 volume
Id Name Initial quantity Compartment Fixed
s1 PFKL 1.0 default
s10 Citrate 17.7476118652 default
s11 sa4_degraded 0.0 <substance_units>/volume default
s12 ALDO 1.0 default
s13 pPFKL 0.768939345 default
s14 sa8_degraded 0.0 <substance_units>/volume default
s15 sa7_degraded 0.0 <substance_units>/volume default
s16 sa5_degraded 0.0 <substance_units>/volume default
s17 sa6_degraded 0.0 <substance_units>/volume default
s18 sa9_degraded 0.0 <substance_units>/volume default
s19 sa10_degraded 0.0 <substance_units>/volume default
s2 FBPase 1.0 default
s20 sa13_degraded 0.0 <substance_units>/volume default
s21 sa3_degraded 0.0 <substance_units>/volume default
s22 F6P_proxy <assignment rule> substance default
s3 F6P 14.0774258421 default
s4 F1,6BP 104.07239819 default
s5 PEP 108.094519859 default
s6 Isocitrate 1.79487179487 default
s7 2-oxoglutarate 25.1885369533 default
s8 Malate 68.8788335846 default
s9 F2,6BP 1.0 default

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
re1 s22 > s4

s9 / (K_PFKL_f26bp + s9) * (K_PFKL_akg / (K_PFKL_akg + s7)) * (K_PFKL_pep / (K_PFKL_pep + s5)) * (K_PFKL_cit / (K_PFKL_cit + s10)) * (K_PFKL_icit / (K_PFKL_icit + s6)) * (K_PFKL_mal / (K_PFKL_mal + s8)) * (s13 / (K_PFKL_PHOS_S775 + s13)) * (Vf_PFKL * s22 / (K_PFKL_f6p + s22))
re10 s13 > s20

-k_pfkl_s775
re11 s3 > s21

-k_f6p
re2 s4 > s22

K_FBPase_f26bp / (K_FBPase_f26bp + s9) * (s10 / (K_FBPase_cit + s10)) * (Vf_FBPase * s4 / (K_FBPase_f16bp + s4))
re3 s4 > s11

k_ALDO * s4
re4 s8 > s14

-k_mal
re5 s7 > s15

-k_akg
re6 s5 > s16

-k_pep
re7 s6 > s17

-k_icit
re8 s9 > s18

-k_f26bp
re9 s10 > s19

-k_cit

Global parameters

Id Value
K_FBPase_cit 0.0211646 dimensionless
K_FBPase_f16bp 0.104089638 dimensionless
K_FBPase_f26bp 17.51744342 dimensionless
K_PFKL_PHOS_S775 6.283705757 dimensionless
K_PFKL_akg 24661.01154 dimensionless
K_PFKL_cit 41.30426029 dimensionless
K_PFKL_f26bp 1.282443082 dimensionless
K_PFKL_f6p 0.014114844 dimensionless
K_PFKL_icit 1784.508205 dimensionless
K_PFKL_mal 9.544729149 dimensionless
K_PFKL_pep 0.633518366 dimensionless
Vf_FBPase 9.932861302 dimensionless
Vf_PFKL 695063.7194 dimensionless
k_ALDO 0.008187906 dimensionless
k_akg -3.544494721 substance
k_cit -0.351935646 substance
k_f26bp -0.083430336 substance
k_f6p -0.930115636 dimensionless
k_icit -0.038210156 substance
k_mal 1.005530417 substance
k_pep 43.99195576 substance
k_pfkl_s775 -0.011384308 substance

Local parameters

Id Value Reaction

Assignment rules

Definition
s22 = s3

Rate rules

Definition

Algebraic rules

Definition
Trigger Assignments
gt(time, 30) k_cit = 0.306686777; k_f6p = 0.070387129; k_icit = 0.031674208; k_f26bp = -0.003055632; k_mal = 0.502765209; k_pep = -0.301659125; k_pfkl_s775 = 0.006730598; k_akg = 0.369532428
gt(time, 20) k_pep = -3.619909502; k_pfkl_s775 = 0.006730598; k_mal = 1.206636501; k_akg = 0.226244344; k_cit = 0.377073906; k_f6p = -0.165912519; k_icit = 0.031674208; k_f26bp = -0.032601514
gt(time, 15) k_akg = 1.085972851; k_cit = 0.452488688; k_f6p = -0.12066365; k_icit = -0.018099548; k_f26bp = 0.100115778; k_mal = 1.809954751; k_pfkl_s775 = 0.006730598; k_pep = -4.826546003
gt(time, 10) k_akg = 0.36199095; k_cit = 1.085972851; k_f6p = -1.055806938; k_icit = -0.038210156; k_mal = 3.921568627; k_pep = 9.049773756; k_pfkl_s775 = 0.006730598; k_f26bp = -0.050207413
gt(time, 5) k_akg = 0; k_cit = -0.211161388; k_f6p = 0.271493213; k_f26bp = 0.119075279; k_mal = -0.904977376; k_pep = -6.334841629; k_pfkl_s775 = 0.057596439; k_icit = -0.038210156
gt(time, 2) k_akg = -1.357466063; k_f6p = 1.357466063; k_icit = -0.038210156; k_f26bp = 0.028924455; k_mal = -1.508295626; k_pep = 7.54147813; k_pfkl_s775 = -0.011384308; k_cit = 0.351935646
gt(time, 45) k_akg = 0.369532428; k_cit = 0.306686777; k_icit = 0.031674208; k_f26bp = -0.003055632; k_mal = 0.502765209; k_pep = -0.301659125; k_pfkl_s775 = 0.00673059831429; k_f6p = 0.070387129