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bertram1

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Endothelin action on pituitary lactotrophs: one receptor, many GTP-binding proteins.

  • Richard Bertram
  • Joel Tabak
  • Natalia Toporikova
  • Marc E Freeman
Sci. STKE 2006; 2006 (319):
Abstract
The endothelins are a family of hormones that have a biphasic action on pituitary lactotrophs. The initial effect is stimulatory, followed later by inhibition that persists long after the agonist has been removed. Recent research has uncovered several G protein pathways that mediate these effects.

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
0.001 second
Id Name Spatial dimensions Size
cell 3.0 1.0
Id Name Initial quantity Compartment Fixed
c cytosolic calcium concentration 0.3 cell
cAMP 1.0 cell
cer ER calcium concentration 260.0 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_0000001 ∅ > c

cell * f * (jertot + jmemtot)
reaction_0000002 ∅ > cer

-fer * sigmav * jertot * cell
reaction_000003 ∅ > cAMP

cell * ETswitch * ((cAMPlow - cAMP) / taudir)

Global parameters

Id Value
ETswitch 0.0
IP3 0.0
V -60.0
ainf 0.0
alpha 0.0000045
binf 0.0
cAMPlow 0.2
cm 5300.0
dact 0.35
dinh 0.4
dip3 0.5
f 0.01
fer 0.01
gca 2000.0
girk 1000.0
gk 3500.0
h 0.0
hinf 0.0
hinfer 0.0
ica 0.0
igirk 0.0
ik 0.0
inh 1.0
jerip3 0.0
jerleak 0.0
jerp 0.0
jertot 0.0
jmemtot 0.0
kc 0.15
ki 0.5
kserca 0.4
lambda 1.25
minf 0.0
n 0.0
ninf 0.0
o 0.0
perl 0.0005
perl_inf 0.0
sh 70.0
sigmav 10.0
sm 12.0
sn 5.0
taudir 20000.0
tauh 20.0
taun 20.0
vca 25.0
vh -20.0
vk -75.0
vm -20.0
vn -16.0

Local parameters

Id Value Reaction

Assignment rules

Definition
igirk = girk * h * (V - vk)
ica = gca * minf * (V - vca)
jerp = kserca * c
jerip3 = o * (cer - c)
hinfer = 1.0 / (1.0 + c / dinh)
ainf = 1.0 / (1.0 + dact / c)
ik = gk * n * (V - vk)
perl_inf = inh * cAMP * pow(c, 4.0) / (pow(ki, 4.0) + pow(c, 4.0))
jertot = jerleak + jerip3 - kserca * c
jerleak = perl * (cer - c)
jmemtot = -(alpha * gca * 1.0 / (1.0 + exp((vm - V) / sm)) * (V - vca) + kc * c)
o = pow(ainf, 3.0) * pow(binf, 3.0) * pow(hinfer, 3.0)
binf = IP3 / (IP3 + dip3)
hinf = 1.0 / (1.0 + exp((vh - V) / sh))
ninf = 1.0 / (1.0 + exp((vn - V) / sn))
minf = 1.0 / (1.0 + exp((vm - V) / sm))

Rate rules

Definition
h' = (hinf - h) / tauh
inh' = ETswitch * ((0.2 - inh) / taudir)
V' = (-ica - ik - igirk) / cm
n' = lambda * (ninf - n) / taun

Algebraic rules

Definition
Definition
Trigger Assignments
gt(time, 60000) ETswitch = 1; girk = 3000; IP3 = 0.3