Mathematical Model to Predict Polyclonal T-Cell-Dependent Antibody Synthesis Responses
Mathematical models are becoming indispensable tools to explore the complexities of biological systems at cellular levels. We present a model to explore the baseline immune cell interactions for in vitro polyclonal antibody synthesis via B-cells regulated by helper and regulatory T-cells. The model...
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| Format: | Article |
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MDPI AG
2023-09-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/18/4017 |
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| author | Jagdish S. Thakur Archana Thakur Lawrence G. Lum |
| author_facet | Jagdish S. Thakur Archana Thakur Lawrence G. Lum |
| author_sort | Jagdish S. Thakur |
| collection | DOAJ |
| description | Mathematical models are becoming indispensable tools to explore the complexities of biological systems at cellular levels. We present a model to explore the baseline immune cell interactions for in vitro polyclonal antibody synthesis via B-cells regulated by helper and regulatory T-cells. The model incorporates interactions of antigen-presenting cells, T-cells, regulatory T-cells, and B-cells with each other and predicts time-dependent trajectories of these cells and antibody synthesis stimulated by pokeweed mitogen. We used an ordinary differential equation-based approach to simulate the dynamic changes in the cells and cytokines numbers due to the cellular and humoral response to pokeweed mitogen stimulation. The parameters of the ordinary differential equations model are determined to yield a normal immune response as observed in the pokeweed mitogen-stimulated in vitro antibody synthesis via normal T, B, and antigen-presenting cells. The dose effects of antigen load and basal values of regulatory T-cells on the profiles of various immune response variables are also evaluated. |
| first_indexed | 2024-03-10T22:29:04Z |
| format | Article |
| id | doaj.art-70f3eafb0b2544a2ab761e6801c6d74c |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T22:29:04Z |
| publishDate | 2023-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-70f3eafb0b2544a2ab761e6801c6d74c2023-11-19T11:50:45ZengMDPI AGMathematics2227-73902023-09-011118401710.3390/math11184017Mathematical Model to Predict Polyclonal T-Cell-Dependent Antibody Synthesis ResponsesJagdish S. Thakur0Archana Thakur1Lawrence G. Lum2Cellular Immunotherapy and Bone Marrow Transplant Programs, Department of Medicine, Division of Hematology/Oncology, University of Virginia, Charlottesville, VA 22903, USACellular Immunotherapy and Bone Marrow Transplant Programs, Department of Medicine, Division of Hematology/Oncology, University of Virginia, Charlottesville, VA 22903, USACellular Immunotherapy and Bone Marrow Transplant Programs, Department of Medicine, Division of Hematology/Oncology, University of Virginia, Charlottesville, VA 22903, USAMathematical models are becoming indispensable tools to explore the complexities of biological systems at cellular levels. We present a model to explore the baseline immune cell interactions for in vitro polyclonal antibody synthesis via B-cells regulated by helper and regulatory T-cells. The model incorporates interactions of antigen-presenting cells, T-cells, regulatory T-cells, and B-cells with each other and predicts time-dependent trajectories of these cells and antibody synthesis stimulated by pokeweed mitogen. We used an ordinary differential equation-based approach to simulate the dynamic changes in the cells and cytokines numbers due to the cellular and humoral response to pokeweed mitogen stimulation. The parameters of the ordinary differential equations model are determined to yield a normal immune response as observed in the pokeweed mitogen-stimulated in vitro antibody synthesis via normal T, B, and antigen-presenting cells. The dose effects of antigen load and basal values of regulatory T-cells on the profiles of various immune response variables are also evaluated.https://www.mdpi.com/2227-7390/11/18/4017mathematical modelingin vitro antibody synthesisT-cellsB-cellspokeweed mitogenantibody production |
| spellingShingle | Jagdish S. Thakur Archana Thakur Lawrence G. Lum Mathematical Model to Predict Polyclonal T-Cell-Dependent Antibody Synthesis Responses Mathematics mathematical modeling in vitro antibody synthesis T-cells B-cells pokeweed mitogen antibody production |
| title | Mathematical Model to Predict Polyclonal T-Cell-Dependent Antibody Synthesis Responses |
| title_full | Mathematical Model to Predict Polyclonal T-Cell-Dependent Antibody Synthesis Responses |
| title_fullStr | Mathematical Model to Predict Polyclonal T-Cell-Dependent Antibody Synthesis Responses |
| title_full_unstemmed | Mathematical Model to Predict Polyclonal T-Cell-Dependent Antibody Synthesis Responses |
| title_short | Mathematical Model to Predict Polyclonal T-Cell-Dependent Antibody Synthesis Responses |
| title_sort | mathematical model to predict polyclonal t cell dependent antibody synthesis responses |
| topic | mathematical modeling in vitro antibody synthesis T-cells B-cells pokeweed mitogen antibody production |
| url | https://www.mdpi.com/2227-7390/11/18/4017 |
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