ArticleMathematical biosciences2015
Comparison of mathematical frameworks for modeling erythropoiesis in the context of malaria infection.
Article in Mathematical biosciences, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 12 papers.
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Who cites it
12 citing papers in PubMed.
- Systems biology of malaria explored with nonhuman primates.Malaria journal · 2022Review
- Discrete Biochemical Systems Theory.Frontiers in molecular biosciences · 2022Article
- Integration of biology, mathematics and computing in the classroom through the creation and repeated use of transdisciplinary modules.PRIMUS : problems, resources, and issues in mathematics undergraduate studies · 2022Article
- Clinical recovery of Macaca fascicularis infected with Plasmodium knowlesi.Malaria journal · 2021Article
- Analysis of erythrocyte dynamics in Rhesus macaque monkeys during infection with Plasmodium cynomolgi.Malaria journal · 2018Article
- Replicative cellular age distributions in compartmentalized tissues.Journal of the Royal Society, Interface · 2018Article
- Metabolic modeling helps interpret transcriptomic changes during malaria.Biochimica et biophysica acta. Molecular basis of disease · 2018Article
- Examining the Reticulocyte Preference of TwoFrontiers in microbiology · 2018Article
- A model of Plasmodium vivax concealment based on Plasmodium cynomolgi infections in Macaca mulatta.Malaria journal · 2017Article
- Mathematical modeling of erythrocyte chimerism informs genetic intervention strategies for sickle cell disease.American journal of hematology · 2016Article
- Quantifying the removal of red blood cells in Macaca mulatta during a Plasmodium coatneyi infection.Malaria journal · 2016Article
- From within host dynamics to the epidemiology of infectious disease: Scientific overview and challenges.Mathematical biosciences · 2015Review
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2 authors.
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Abstract
Malaria is an infectious disease present all around the globe and responsible for half a million deaths per year. A within-host model of this infection requires a framework capable of properly approximating not only the blood stage of the infection but also the erythropoietic process that is in charge of overcoming the malaria induced anemia. Within this context, we compare ordinary differential equations (ODEs) with and without age classes, delayed differential equations (DDEs), and discrete recursive equations (DREs) with age classes. Results show that ODEs without age classes are fair approximations that do not provide a crisp temporal representation of the processes involved, and inclusion of age classes only mitigates the problem to some degree. DDEs perform well with respect to generating the essentially fixed delay between cell production and cell removal due to age, but the inclusion of any other processes, such as sudden blood loss, becomes cumbersome. The framework that was found to perform best in representing the dynamics of red blood cells during malaria infection is a DRE with age classes. In this model structure, the amount of time a cell remains alive is easily controlled, and the addition of age dependent or independent processes is straightforward. All events that populations of cells face during their lifespan, like growth or adaptation in differentiation or maturation rate, are properly represented in this framework.
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