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This research gives a thorough examination of an HIV infection model that includes quiescent cells and immune response dynamics in the host. The model, represented by a system of ordinary differential equations, captures the complex…

种群与进化 · 定量生物学 2025-03-04 Ibrahim Nali , Attila Dénes , Abdessamad Tridane , Xueyong Zhou

Plasmodium (P.) falciparum and P. vivax are the two most common causes of malaria. While the majority of deaths and severe morbidity are due to P. falciparum, P. vivax poses a greater challenge to eliminating malaria outside of Africa due…

We argue that immune system is an adaptive complex system. It is shown that it has emergent properties. Its network structure is of the small world network type. The network is of the threshold type, which helps in avoiding autoimmunity. It…

种群与进化 · 定量生物学 2008-01-08 E. Ahmed , A. H. Hashish

Many malaria-endemic areas experience seasonal fluctuations in case incidence as Anopheles mosquito and Plasmodium parasite life cycles respond to changing environmental conditions. While most existing maps of malaria seasonality use fixed…

This paper investigates the deterministic extinction and permanence of a family of SEIRS malaria models with multiple random delays, and with a general nonlinear incidence rate. The conditions for the extinction and permanence of the…

种群与进化 · 定量生物学 2020-05-05 Divine Wanduku , Broderick Oluyede

Malaria is a parasitic disease, transmitted by mosquito vectors. Plasmodium vivax presents particular challenges for disease control, in light of an undetectable reservoir of latent parasites (hypnozoites) within the host liver.…

种群与进化 · 定量生物学 2023-06-27 Somya Mehra , James M. McCaw , Peter G. Taylor

Simple ideas, endowed from the mathematical theory of control, are used in order to analyze in general grounds the human immune system. The general principles are minimization of the pathogen load and economy of resources. They should…

组织与器官 · 定量生物学 2016-07-12 Augusto Gonzalez

A key problem in modelling the evolution dynamics of infectious diseases is the mathematical representation of the mechanism of transmission of the contagion. Models with a finite number of subpopulations can be described via systems of…

最优化与控制 · 数学 2017-03-09 Sebastian Anita , Vincenzo Capasso

We derived an ordinary differential equation model to capture the disease dynamics during blood-stage malaria. The model was directly derived from an earlier age-structured partial differential equation model. The original model was…

细胞行为 · 定量生物学 2017-07-03 Yi H. Yan , Jacob B. Aguilar , Elizabeth D. Trippe , Juan B. Gutierrez

Following the well-extablished mathematical approach to persistence and its recent developments we give a rigorous theoretical explanation to the numerical results obtained for a certain prey-predator model with functional response of…

动力系统 · 数学 2019-01-23 Tobia Dondè

We model the immune surveillance of a pathogen which passes through $n$ immunologically distinct stages. The biological parameters of this system induce a partial order on the stages, and this, in turn, determines which stages will be…

种群与进化 · 定量生物学 2010-05-04 Edgar Delgado-Eckert , Michael Shapiro

We present a novel model that describes the within-host evolutionary dynamics of parasites undergoing antigenic variation. The approach uses a multi-type branching process with two types of entities defined according to their relationship…

种群与进化 · 定量生物学 2013-11-18 Gustavo Guerberoff , Fernando Alvarez-Valin

The epidemiological behavior of Plasmodium vivax malaria occurs across spatial scales including within-host, population, and metapopulation levels. On the within-host scale, P. vivax sporozoites inoculated in a host may form latent…

种群与进化 · 定量生物学 2023-12-12 Shoshana Elgart , Mark B. Flegg , Somya Mehra , Jennifer A. Flegg

We introduce a model of parasite infection in a cell population, where cells can be infected, either at birth through maternal transmission, from a contact with the parasites reservoir, or because of the parasites released in the cell…

概率论 · 数学 2021-11-10 Charline Smadi

A timely immunization can be effective against certain diseases and can save thousands of lives. However, for some diseases it has been difficult, so far, to develop an efficient vaccine. Malaria, a tropical disease caused by a parasite of…

基因组学 · 定量生物学 2016-11-08 Raul Isea , Rafael Mayo-Garcia , Silvia Restrepo

Artemisinin resistance constitutes a major threat to the continued success of control programs for malaria. With alternative antimalarial drugs not yet available, improving our understanding of how artemisinin-based drugs act and how…

In a study of the heterogeneity in malaria infection rates among children Smith et al.1 fitted several mathematical models to data from community studies in Africa. They concluded that 20% of children receive 80% of infections, that…

定量方法 · 定量生物学 2014-01-03 Brian G. Williams , Christopher Dye

A major contribution to the onset and development of autoimmune disease is known to come from infections. An important practical problem is identifying the precise mechanism by which the breakdown of immune tolerance as a result of immune…

定量方法 · 定量生物学 2018-05-21 F. Fatehi Chenar , Y. N. Kyrychko , K. B. Blyuss

The emergence of cross species interactions at protein level is a part of molecular mechanisms that lead to parasitic diseases. Comprehensive modelling can capture such interactions and could be useful to understand their pathophysiology…

To investigate the combined effects of drug resistance, seasonality and vector-bias, we formulate a periodic two-strain reaction-diffusion model. It is a competitive system for resistant and sensitive strains, but the single-strain…

动力系统 · 数学 2023-01-04 Huijie Chu , Zhenguo Bai