Schokker2013 - A mathematical model representing cellular immune development and response to Salmonella of chicken intestinal tissue
Model Identifier
BIOMD0000000895
Short description
This is a dynamic mathematical model describing the development of the cellular branch of the intestinal immune system of poultry during the first 42 days of life, and of its response towards an oral infection with Salmonella enterica serovar Enteritidis.
Format
SBML
(L2V4)
Related Publication
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A mathematical model representing cellular immune development and response to Salmonella of chicken intestinal tissue.
- Schokker D, Bannink A, Smits MA, Rebel JM
- Journal of theoretical biology , 8/ 2013 , Volume 330 , pages: 75-87 , PubMed ID: 23603730
- Genetics and Genomics, Wageningen UR Livestock Research, Wageningen UR, PO Box 65, 6500 AB Lelystad, The Netherlands. dirkjan.schokker@wur.nl
- The aim of this study was to create a dynamic mathematical model of the development of the cellular branch of the intestinal immune system of poultry during the first 42 days of life and of its response towards an oral infection with Salmonella enterica serovar Enteritidis. The system elements were grouped in five important classes consisting of intra- and extracellular S. Enteritidis bacteria, macrophages, CD4+, and CD8+ cells. Twelve model variables were described by ordinary differential equations, including 50 parameters. Parameter values were estimated from literature or from own immunohistochemistry data. The model described the immune development in non-infected birds with an average R² of 0.87. The model showed less accuracy in reproducing the immune response to S. Enteritidis infection, with an average R² of 0.51, although model response did follow observed trends in time. Evaluation of the model against independent data derived from several infection trials showed strong/significant deviations from observed values. Nevertheless, it was shown that the model could be used to simulate the effect of varying input parameters on system elements response, such as the number of immune cells at hatch. Model simulations allowed one to study the sensitivity of the model outcome for varying model inputs. The initial number of immune cells at hatch was shown to have a profound impact on the predicted development in the number of systemic S. Enteritidis bacteria after infection. The theoretical contribution of this work is the identification of responses in system elements of the developing intestinal immune system of poultry obtaining a mathematical representation which allows one to explore the relationships between these elements under contrasting environmental conditions during different stages of intestinal development.
Contributors
Submitter of the first revision: Johannes Meyer
Submitter of this revision: Johannes Meyer
Modellers: Johannes Meyer
Submitter of this revision: Johannes Meyer
Modellers: Johannes Meyer
Metadata information
hasTaxon (1 statement)
hasProperty (2 statements)
hasProperty (2 statements)
Curation status
Curated
Modelling approach(es)
Tags
Connected external resources
SBGN view in Newt Editor
| Name | Description | Size | Actions |
|---|---|---|---|
Model files |
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| Schokker2013.xml | SBML L2V4 Representation of Schokker2013 - A mathematical model representing cellular immune development and response to Salmonella of chicken intestinal tissue | 110.17 KB | Preview | Download |
Additional files |
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| Schokker2013.cps | COPASI file of Schokker2013 - A mathematical model representing cellular immune development and response to Salmonella of chicken intestinal tissue | 181.77 KB | Preview | Download |
| Schokker2013.sedml | SED-ML file of Schokker2013 - A mathematical model representing cellular immune development and response to Salmonella of chicken intestinal tissue | 1.70 KB | Preview | Download |
- Model originally submitted by : Johannes Meyer
- Submitted: Dec 16, 2019 1:42:20 PM
- Last Modified: Dec 16, 2019 1:42:20 PM
Revisions
-
Version: 2
- Submitted on: Dec 16, 2019 1:42:20 PM
- Submitted by: Johannes Meyer
- With comment: Automatically added model identifier BIOMD0000000895
Legends
: Variable used inside SBML models
: Variable used inside SBML models
Species
| Species | Initial Concentration/Amount |
|---|---|
| CD8 CD8-Positive T-Lymphocyte |
7000000.0 item |
| Se C76380 ; extracellular region |
200.0 item |
| CD4 CD4-positive helper T cell |
9000000.0 item |
| Mi C12558 ; infected cell |
100.0 item |
| Mr CL:0000864 |
9000000.0 item |
| Ma inflammatory macrophage |
0.0 item |
Reactions
| Reactions | Rate | Parameters |
|---|---|---|
| => CD8 | compartment*sCD8 | sCD8 = 430000.0 |
| Si + Mi => Se | compartment*bMi*Mi*Si^mMi/(Si^mMi+(N*Mi)^mMi) | bMi = 0.4; N = 30.0; mMi = 2.0 |
| Mr + Se => Mi | compartment*iMr*Mr*Se/(Se+cSeMri) | iMr = 0.1; cSeMri = 600000.0 |
| CD4 + Se => | compartment*kSeCD4*CD4*Se | kSeCD4 = 1.0E-9 |
| Mr => | compartment*drMr*Mr | drMr = 0.011 |
| Mr => Ma; Se | compartment*aMr*Mr*Se/(Se+cSeMr) | aMr = 100.0; cSeMr = 1.0 |
| Ma + Se => | compartment*kSeMa*Ma*Se | kSeMa = 2.6E-7 |
| Mi => ; CD4, CD8, Si | compartment*(1-apop*Si/(Si+N+Mi))*lMi*(CD4+CD8/Mi)/(CD4+CD8/Mi+cCD4CD8) | apop = 0.7; N = 30.0; lMi = 0.8; cCD4CD8 = 10.0 |
| CD4rec => CD4; Se | compartment*CD4rec*vrecCD4*Se/(Se+kmrecCD4) | kmrecCD4 = 1.0; vrecCD4 = 100.0 |
Curator's comment:
(added: 16 Dec 2019, 13:42:12, updated: 16 Dec 2019, 13:42:12)
(added: 16 Dec 2019, 13:42:12, updated: 16 Dec 2019, 13:42:12)
Reproduced plot for Figure 4B in the original publication.
Model simulated and plot produced using COPASI 4.24 (Build 197).