Immune Response and Imperfect Vaccine in Malaria Dynamics

Niger, Ashrafi Meher; Gumel, Abba B.

doi:10.1080/08898480.2011.564560

Cited by 21 publications

(9 citation statements)

References 43 publications

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“…It includes immune effector parameters in Michaelis–Menten–Monod functions to ensure saturation of processes corresponding to the immune system’s response. Niger and Gumel [ 23 ] extended the model of Anderson et al [ 21 ] by partitioning the immune system response into two variables: the collective immune effectors and the antibodies specific to malaria infection. The model furthermore separated the iRBC population into different compartments, to account for parasite growth.…”

Section: Model Descriptionsmentioning

confidence: 99%

Uncovering the effects of heterogeneity and parameter sensitivity on within-host dynamics of disease: malaria as a case study

2021

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Background The fidelity and reliability of disease model predictions depend on accurate and precise descriptions of processes and determination of parameters. Various models exist to describe within-host dynamics during malaria infection but there is a shortage of clinical data that can be used to quantitatively validate them and establish confidence in their predictions. In addition, model parameters often contain a degree of uncertainty and show variations between individuals, potentially undermining the reliability of model predictions. In this study models were reproduced and analysed by means of robustness, uncertainty, local sensitivity and local sensitivity robustness analysis to establish confidence in their predictions. Results Components of the immune system are responsible for the most uncertainty in model outputs, while disease associated variables showed the greatest sensitivity for these components. All models showed a comparable degree of robustness but displayed different ranges in their predictions. In these different ranges, sensitivities were well-preserved in three of the four models. Conclusion Analyses of the effects of parameter variations in models can provide a comparative tool for the evaluation of model predictions. In addition, it can assist in uncovering model weak points and, in the case of disease models, be used to identify possible points for therapeutic intervention.

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Section: Model Descriptionsmentioning

confidence: 99%

Uncovering the effects of heterogeneity and parameter sensitivity on within-host dynamics of disease: malaria as a case study

2021

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“…The sporozoites migrate to the liver where they infect the liver cells and develop into schizonts. After rupturing, the schizonts release the parasites in the form of merozoites into the bloodstream where the blood stage starts [2,4,5]. The merozoites invade red blood cells and develop within them through three morphological stages.…”

Section: Introductionmentioning

confidence: 99%

“…Tumwiine et al [26] explored an extended version of model (2), where they established the existence and global stability of equilibrium points. Niger and Gumel [4] extended the models in [20] and [22] by adding the effects of immune response and malaria vaccines. They proved the global stability of the parasite-free equilibrium.…”

Section: Introductionmentioning

confidence: 99%

Global Analysis of a Reaction-Diffusion Within-Host Malaria Infection Model with Adaptive Immune Response

Ełaiw

Agha

2020

Mathematics

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Malaria is one of the most dangerous global diseases. This paper studies a reaction-diffusion model for the within-host dynamics of malaria infection with both antibody and cell-mediated immune responses. The model explores the interactions between uninfected red blood cells (erythrocytes), three types of infected red blood cells, free merozoites, CTLs and antibodies. It contains some parameters to measure the effect of antimalarial drugs and isoleucine starvation on the blood cycle of malaria infection. The basic properties of the model are discussed. All possible equilibrium points and the threshold conditions required for their existence are addressed. The global stability of all equilibria are proved by selecting suitable Lyapunov functionals and using LaSalle’s invariance principle. The characteristic equations are used to study the local instability conditions of the equilibria. Some numerical simulations are conducted to support the theoretical results. The results indicate that antimalarial drugs with high efficacy can clear the infection and take the system towards the disease-free state. Increasing the efficacy of isoleucine starvation has a similar effect as antimalarial drugs and can eliminate the disease. The presence of immune responses with low efficacy of treatments does not provide a complete protection against the disease. However, the immune responses reduce the concentrations of all types of infected cells and limit the production of malaria parasites.

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“…Fertilization and sexual recombination occurs in the mosquito's gut. Successive erythrocytic cycles result in an increase in parasitaemia until the immune response begins 11,12 . The developing parasites inside a human body destroy red blood cells (RBCs), which may cause death by severe anemia as well as clogging of capillaries that supply the brain, or other vital organs, with blood 7 .…”

Section: Introductionmentioning

confidence: 99%

The Role of Non-Linear Birth Functions on the Dynamics of Malaria Vector Population

Ovi

Niger

Podder

2019

Dhaka Univ. J. Sci.

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As mosquito vector plays a significant role in malaria dynamics, a deterministic delay differential equation model10 for the population dynamics of the malaria vector is rigorously analyzed for the non-delay part subject to a new form of vector birth rate function; the Hassell function. For the Hassell function, the model has a non-trivial equilibrium which is locally-asymptotically stable under certain conditions. It is also shown that the non-trivial equilibrium corresponding to this birth function bifurcates into a limit cycle via a Hopf bifurcation. The Maynard-Smith-Slatkin function is better than the Verhulst-Pearl logistic growth function as the former is associated with increased sustained oscillations 9. Again this Maynard- Smith-Slatkin function is more preferable than the Hassell function as the prior one is pertained to more sustained oscillations and holds the analyzed properties for the realistic size of the limiting birth rate. Dhaka Univ. J. Sci. 67(1): 55-62, 2019 (January)

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Immune Response and Imperfect Vaccine in Malaria Dynamics

Cited by 21 publications

References 43 publications

Uncovering the effects of heterogeneity and parameter sensitivity on within-host dynamics of disease: malaria as a case study

Uncovering the effects of heterogeneity and parameter sensitivity on within-host dynamics of disease: malaria as a case study

Global Analysis of a Reaction-Diffusion Within-Host Malaria Infection Model with Adaptive Immune Response

The Role of Non-Linear Birth Functions on the Dynamics of Malaria Vector Population

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