fribourg2

J1

J1

w > IFNb_mRNA

J10

J10

w > TNFenv

J11

J11

w > STATm

J12

J12

w > STAT

J2

J2

w > IFNb_env

J3

J3

w > STATP2n

J4

J4

w > SOCS1m

J5

J5

w > IRF7m

J6

J6

w > IRF7Pn

J7

J7

w > IFNa_mRNA

J8

J8

w > IFNa_env

J9

J9

w > TNFam

Global parameters

Assignment rules

NS = r5 * pow(time, n3) / (pow(bm, n3) + pow(time, n3))

IC1 = (1.0 + sp * pow(NS / delta1, n1)) / (1.0 + pow(NS / delta1, n1))

IC2 = (1.0 + sv * pow(NS / delta2, n2)) / (1.0 + pow(NS / delta2, n2))

TJ = TJtot * (IFNb_env + IFNa_env) / (K3 + IFNb_env + IFNa_env) * 1.0 / (1.0 + K9 * SOCS1m / delta)

IC2ifa = (1.0 + 3.0 * sv * pow(NS / delta2, n2)) / (1.0 + pow(NS / delta2, n2))

Function definitions

Note that constraints are not enforced in simulations. It remains the responsibility of the user to verify that simulation results satisfy these constraints.


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Model of influenza A virus infection: dynamics of viral antagonism and innate immune response.

  • M Fribourg
  • B Hartmann
  • M Schmolke
  • N Marjanovic
  • RA Albrecht
  • A GarcĂ­a-Sastre
  • SC Sealfon
  • C Jayaprakash
  • F Hayot
J. Theor. Biol. 2014; 351 : 47
Abstract
Viral antagonism of host responses is an essential component of virus pathogenicity. The study of the interplay between immune response and viral antagonism is challenging due to the involvement of many processes acting at multiple time scales. Here we develop an ordinary differential equation model to investigate the early, experimentally measured, responses of human monocyte-derived dendritic cells to infection by two H1N1 influenza A viruses of different clinical outcomes: pandemic A/California/4/2009 and seasonal A/New Caledonia/20/1999. Our results reveal how the strength of virus antagonism, and the time scale over which it acts to thwart the innate immune response, differs significantly between the two viruses, as is made clear by their impact on the temporal behavior of a number of measured genes. The model thus sheds light on the mechanisms that underlie the variability of innate immune responses to different H1N1 viruses.
The SBML for this model was obtained from the BioModels database (BioModels ID: BIOMD0000000529) Biomodels notes: Figure 5B of the reference publication has been reproduced. The simulation was done using SBML odeSolver and the plot was generated using Gnuplot. JWS Online curation: This model was curated by reproducing the figures as described in the BioModels Notes. No additional changes were made.