Mathematical model of susceptibility, resistance, and resilience in the within-host dynamics between a Plasmodium parasite and the immune system
| Autor: | Brian Adam, Alberto Moreno, Yi H. Yan, Mary R. Galinski, Jessica C. Kissinger, Juan B. Gutierrez |
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| Rok vydání: | 2015 |
| Předmět: |
Statistics and Probability
Plasmodium media_common.quotation_subject Population Computational biology General Biochemistry Genetics and Molecular Biology Host-Parasite Interactions Immune system medicine Parasite hosting Animals Humans education media_common education.field_of_study Partial differential equation General Immunology and Microbiology biology Applied Mathematics General Medicine Models Theoretical medicine.disease biology.organism_classification Malaria Modeling and Simulation Bounded function Immune System Immunology Psychological resilience Disease Susceptibility General Agricultural and Biological Sciences |
| Zdroj: | Mathematical biosciences. 270 |
| ISSN: | 1879-3134 |
| Popis: | We developed a coupled age-structured partial differential equation model to capture the disease dynamics during blood-stage malaria. The addition of age structure for the parasite population, with respect to previous models, allows us to better characterize the interaction between the malaria parasite and red blood cells during infection. Here we prove that the system we propose is well-posed and there exist at least two global states. We further demonstrate that the numerical simulation of the system coincides with clinically observed outcomes of primary and secondary malaria infection. The well-posedness of this system guarantees that the behavior of the model remains smooth, bounded, and continuously dependent on initial conditions; calibration with clinical data will constrain domains of parameters and variables to physiological ranges. |
| Databáze: | OpenAIRE |
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