Bacteria--phagocyte dynamics,axiomatic modelling and mass-action kinetics
Axiomatic modeling is ensued to provide a family of models that describe bacterial growth in the presence of phagocytes, or, more generally, prey dynamics in a large spatially homogenous eco-system. A classification of the possible bifurcation diagrams that arise in such models is presented. It is...
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| Format: | Article |
| Language: | English |
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AIMS Press
2011-03-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.475 |
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| _version_ | 1832590223461056512 |
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| author | Roy Malka Vered Rom-Kedar |
| author_facet | Roy Malka Vered Rom-Kedar |
| author_sort | Roy Malka |
| collection | DOAJ |
| description | Axiomatic modeling is ensued to provide a family of models that describe bacterial growth in the presence of phagocytes, or, more generally, prey dynamics in a large spatially homogenous eco-system. A classification of the possible bifurcation diagrams that arise in such models is presented. It is shown that other commonly used models that do not belong to this class may miss important features that are associated with the limited growth curve of thebacteria (prey) and the saturationassociated with the phagocytosis (predator kill) term. Notably, these features appear at relatively low concentrations, much below the saturation range. Finally, combining this model with a model of neutrophildynamics in the blood after chemotherapy treatments we obtain new insights regarding the development of infections under neutropenic conditions. |
| format | Article |
| id | doaj-art-de0991bb6814494e9222b7692ef70d0d |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2011-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-de0991bb6814494e9222b7692ef70d0d2025-01-24T02:01:39ZengAIMS PressMathematical Biosciences and Engineering1551-00182011-03-018247550210.3934/mbe.2011.8.475Bacteria--phagocyte dynamics,axiomatic modelling and mass-action kineticsRoy Malka0Vered Rom-Kedar1Department of Computer Science and Applied Mathematics, The Weizmann Institute, Rehovot, 76100Department of Computer Science and Applied Mathematics, The Weizmann Institute, Rehovot, 76100Axiomatic modeling is ensued to provide a family of models that describe bacterial growth in the presence of phagocytes, or, more generally, prey dynamics in a large spatially homogenous eco-system. A classification of the possible bifurcation diagrams that arise in such models is presented. It is shown that other commonly used models that do not belong to this class may miss important features that are associated with the limited growth curve of thebacteria (prey) and the saturationassociated with the phagocytosis (predator kill) term. Notably, these features appear at relatively low concentrations, much below the saturation range. Finally, combining this model with a model of neutrophildynamics in the blood after chemotherapy treatments we obtain new insights regarding the development of infections under neutropenic conditions.https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.475bacteria-phagocyte dynamics.axiomatic modelling |
| spellingShingle | Roy Malka Vered Rom-Kedar Bacteria--phagocyte dynamics,axiomatic modelling and mass-action kinetics Mathematical Biosciences and Engineering bacteria-phagocyte dynamics. axiomatic modelling |
| title | Bacteria--phagocyte dynamics,axiomatic modelling and mass-action kinetics |
| title_full | Bacteria--phagocyte dynamics,axiomatic modelling and mass-action kinetics |
| title_fullStr | Bacteria--phagocyte dynamics,axiomatic modelling and mass-action kinetics |
| title_full_unstemmed | Bacteria--phagocyte dynamics,axiomatic modelling and mass-action kinetics |
| title_short | Bacteria--phagocyte dynamics,axiomatic modelling and mass-action kinetics |
| title_sort | bacteria phagocyte dynamics axiomatic modelling and mass action kinetics |
| topic | bacteria-phagocyte dynamics. axiomatic modelling |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.475 |
| work_keys_str_mv | AT roymalka bacteriaphagocytedynamicsaxiomaticmodellingandmassactionkinetics AT veredromkedar bacteriaphagocytedynamicsaxiomaticmodellingandmassactionkinetics |