levchenko1

The SBML for this model was obtained from the BioModels database (BioModels ID: BIOMD0000000011) Biomodels notes: MAPK cascade in solution (no scaffold) This model describes a basic 3- stage Mitogen Activated Protein Kinase (MAPK) cascade in solution. This cascade is typically expressed as RAF= =>MEK==>MAPK (alternative forms are K3==>K2==> K1 and KKK==>KK==>K) . The input signal is RAFK (RAF Kinase) and the output signal is MAPKpp ( doubly phosphorylated form of MAPK) . RAFK phosphorylates RAF once to RAFp. RAFp, the phosphorylated form of RAF induces two phoshporylations of MEK, to MEKp and MEKpp. MEKpp, the doubly phosphorylated form of MEK, induces two phosphorylations of MAPK to MAPKp and MAPKpp. JWS Online curation: This model was curated by reproducing figure 2A.

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Scaffold proteins may biphasically affect the levels of mitogen-activated protein kinase signaling and reduce its threshold properties.

  • Andre Levchenko
  • J Bruck
  • PW Sternberg
Proc. Natl. Acad. Sci. U.S.A. 2000; 97 (11): 5818-5823
Abstract
In addition to preventing crosstalk among related signaling pathways, scaffold proteins might facilitate signal transduction by preforming multimolecular complexes that can be rapidly activated by incoming signal. In many cases, such as mitogen-activated protein kinase (MAPK) cascades, scaffold proteins are necessary for full activation of a signaling pathway. To date, however, no detailed biochemical model of scaffold action has been suggested. Here we describe a quantitative computer model of MAPK cascade with a generic scaffold protein. Analysis of this model reveals that formation of scaffold-kinase complexes can be used effectively to regulate the specificity, efficiency, and amplitude of signal propagation. In particular, for any generic scaffold there exists a concentration value optimal for signal amplitude. The location of the optimum is determined by the concentrations of the kinases rather than their binding constants and in this way is scaffold independent. This effect and the alteration of threshold properties of the signal propagation at high scaffold concentrations might alter local signaling properties at different subcellular compartments. Different scaffold levels and types might then confer specialized properties to tune evolutionarily conserved signaling modules to specific cellular contexts.

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
1e-06 mole
Id Name Spatial dimensions Size
Cytoplasm 3.0 1.0
Id Name Initial quantity Compartment Fixed
MAPK MAPK 0.4 Cytoplasm
MAPKMEKpp MAPK_MEK-PP 0.0 Cytoplasm
MAPKPH MAPK phosphatase 0.3 Cytoplasm
MAPKp MAPK-P 0.0 Cytoplasm
MAPKpMAPKPH MAPK-P_MAPKPase 0.0 Cytoplasm
MAPKpMEKpp MAPK-P_MEK-PP 0.0 Cytoplasm
MAPKpp MAPK-PP 0.0 Cytoplasm
MAPKppMAPKPH MAPK-PP_MAPKPase 0.0 Cytoplasm
MEK MEK 0.2 Cytoplasm
MEKPH MEK phosphatase 0.2 Cytoplasm
MEKRAFp MEK_RAF-P 0.0 Cytoplasm
MEKp MEK-P 0.0 Cytoplasm
MEKpMEKPH MEK-P_MEKPase 0.0 Cytoplasm
MEKpRAFp MEK-P_RAF-P 0.0 Cytoplasm
MEKpp MEK-PP 0.0 Cytoplasm
MEKppMEKPH MEK-PP_MEKPase 0.0 Cytoplasm
RAF RAF 0.3 Cytoplasm
RAFK RAFK 0.2 Cytoplasm
RAFPH RAF phosphatase 0.3 Cytoplasm
RAFRAFK RAF_RAFK 0.0 Cytoplasm
RAFp RAF-P 0.0 Cytoplasm
RAFpRAFPH RAF-P_RAFPase 0.0 Cytoplasm

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
Reaction1 binding of RAF and RAFK RAF + RAFK > RAFRAFK

a1 * RAF * RAFK
Reaction10 binding of MEK-P and MEK phosphatase MEKp + MEKPH > MEKpMEKPH

a4 * MEKp * MEKPH
Reaction11 dissociation of MEK-P_MEKPase MEKpMEKPH > MEKp + MEKPH

d4 * MEKpMEKPH
Reaction12 dephosphorylation of MEK-P MEKpMEKPH > MEK + MEKPH

k4 * MEKpMEKPH
Reaction13 binding of MEK-P and RAF-P MEKp + RAFp > MEKpRAFp

a5 * MEKp * RAFp
Reaction14 dissociation of MEK-P_RAF-P MEKpRAFp > MEKp + RAFp

d5 * MEKpRAFp
Reaction15 phosphorylation of MEK-P MEKpRAFp > MEKpp + RAFp

k5 * MEKpRAFp
Reaction16 binding of MEK-PP and MEK phosphatase MEKPH + MEKpp > MEKppMEKPH

a6 * MEKPH * MEKpp
Reaction17 dissociation of MEK-PP_MEKPase MEKppMEKPH > MEKPH + MEKpp

d6 * MEKppMEKPH
Reaction18 dephosphorylation of MEK-PP MEKppMEKPH > MEKp + MEKPH

k6 * MEKppMEKPH
Reaction19 binding of MAPK and MEK-PP MAPK + MEKpp > MAPKMEKpp

a7 * MAPK * MEKpp
Reaction2 dissociation of RAF_RAFK RAFRAFK > RAF + RAFK

d1 * RAFRAFK
Reaction20 dissociation of MAPK_MEK-PP MAPKMEKpp > MAPK + MEKpp

d7 * MAPKMEKpp
Reaction21 phosphorylation of MAPK MAPKMEKpp > MAPKp + MEKpp

k7 * MAPKMEKpp
Reaction22 binding of MAPK-P and MAPK phosphatase MAPKp + MAPKPH > MAPKpMAPKPH

a8 * MAPKp * MAPKPH
Reaction23 dissociation of MAPK-P_MAPKPase MAPKpMAPKPH > MAPKp + MAPKPH

d8 * MAPKpMAPKPH
Reaction24 dephosphorylation of MAPK-P MAPKpMAPKPH > MAPK + MAPKPH

k8 * MAPKpMAPKPH
Reaction25 binding of MAPK-P and MEK-PP MAPKp + MEKpp > MAPKpMEKpp

a9 * MAPKp * MEKpp
Reaction26 dissociation of MAPK-P_MEK-PP MAPKpMEKpp > MAPKp + MEKpp

d9 * MAPKpMEKpp
Reaction27 phosphorylation of MAPK-P MAPKpMEKpp > MAPKpp + MEKpp

k9 * MAPKpMEKpp
Reaction28 binding of MAPK-PP and MAPK phosphatase MAPKPH + MAPKpp > MAPKppMAPKPH

a10 * MAPKPH * MAPKpp
Reaction29 dissociation of MAPK-PP_MAPKPase MAPKppMAPKPH > MAPKPH + MAPKpp

d10 * MAPKppMAPKPH
Reaction3 phosphorylation of RAF RAFRAFK > RAFK + RAFp

k1 * RAFRAFK
Reaction30 dephosphorylation of MAPK-PP MAPKppMAPKPH > MAPKp + MAPKPH

k10 * MAPKppMAPKPH
Reaction4 binding of RAF-P and RAF phosphatase RAFp + RAFPH > RAFpRAFPH

a2 * RAFp * RAFPH
Reaction5 dissociation of RAF-P_RAFPase RAFpRAFPH > RAFp + RAFPH

d2 * RAFpRAFPH
Reaction6 dephosphorylation of RAF-P RAFpRAFPH > RAF + RAFPH

k2 * RAFpRAFPH
Reaction7 binding of MEK and RAF-P MEK + RAFp > MEKRAFp

a3 * MEK * RAFp
Reaction8 dissociation of MEK_RAF-P MEKRAFp > MEK + RAFp

d3 * MEKRAFp
Reaction9 phosphorylation of MEK MEKRAFp > MEKp + RAFp

k3 * MEKRAFp

Global parameters

Id Value

Local parameters

Id Value Reaction
a1 1.0 Reaction1 (binding of RAF and RAFK)
d1 0.4 Reaction2 (dissociation of RAF_RAFK)
k1 0.1 Reaction3 (phosphorylation of RAF)
a2 0.5 Reaction4 (binding of RAF-P and RAF phosphatase)
d2 0.5 Reaction5 (dissociation of RAF-P_RAFPase)
k2 0.1 Reaction6 (dephosphorylation of RAF-P)
a3 3.3 Reaction7 (binding of MEK and RAF-P)
d3 0.42 Reaction8 (dissociation of MEK_RAF-P)
k3 0.1 Reaction9 (phosphorylation of MEK)
a4 10.0 Reaction10 (binding of MEK-P and MEK phosphatase)
d4 0.8 Reaction11 (dissociation of MEK-P_MEKPase)
k4 0.1 Reaction12 (dephosphorylation of MEK-P)
a5 3.3 Reaction13 (binding of MEK-P and RAF-P)
d5 0.4 Reaction14 (dissociation of MEK-P_RAF-P)
k5 0.1 Reaction15 (phosphorylation of MEK-P)
a6 10.0 Reaction16 (binding of MEK-PP and MEK phosphatase)
d6 0.8 Reaction17 (dissociation of MEK-PP_MEKPase)
k6 0.1 Reaction18 (dephosphorylation of MEK-PP)
a7 20.0 Reaction19 (binding of MAPK and MEK-PP)
d7 0.6 Reaction20 (dissociation of MAPK_MEK-PP)
k7 0.1 Reaction21 (phosphorylation of MAPK)
a8 5.0 Reaction22 (binding of MAPK-P and MAPK phosphatase)
d8 0.4 Reaction23 (dissociation of MAPK-P_MAPKPase)
k8 0.1 Reaction24 (dephosphorylation of MAPK-P)
a9 20.0 Reaction25 (binding of MAPK-P and MEK-PP)
d9 0.6 Reaction26 (dissociation of MAPK-P_MEK-PP)
k9 0.1 Reaction27 (phosphorylation of MAPK-P)
a10 5.0 Reaction28 (binding of MAPK-PP and MAPK phosphatase)
d10 0.4 Reaction29 (dissociation of MAPK-PP_MAPKPase)
k10 0.1 Reaction30 (dephosphorylation of MAPK-PP)

Assignment rules

Definition

Rate rules

Definition

Algebraic rules

Definition
Trigger Assignments