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Cesaretto, Rudy and Buratto, Alessandra and Zamarchi, Rita (2014) HIV Inside the Body: A Review of Mathematical Modeling. [Working Paper]

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Abstract (italian or english)

This paper presents a review of works devoted to studies on Human Immunodeficiency Virus (HIV) and Acquired Immunodeficiency Syndrome (AIDS) dynamics through mathematical modeling.
The analysis is performed over about a hundred papers from 1989 to the present day, distinguishing models according to the presence or absence of variables such as infected T-lymphocytes and immune effectors or precursors, and the presence or absence of differentiation in uninfected T cells, infected T cells and viruses. The review also cites the optimal control approaches to the topic and some recent formulations in terms of differential game theory, aimed at predicting the effects of different dosage schedules or drug combinations.
For each group of works we describe the significant variables and underline their role in the dynamics.
The survey also proposes a frequency table over the most commonly used parameters. Finally, building on the previous analysis, we resume the main features a mathematical model should have in order to describe faithfully the complex interactions between the immune system and HIV.


EPrint type:Working Paper
Anno di Pubblicazione:12 November 2014
Key Words:Mathematical modeling, Human Immunodeficiency Virus (HIV), Acquired Immunodeficiency Syndrome (AIDS), Viral Dynamics, Dynamical Systems, Optimal Control
Settori scientifico-disciplinari MIUR:Area 01 - Scienze matematiche e informatiche > MAT/09 Ricerca operativa
Area 06 - Scienze mediche > MED/17 Malattie infettive
Struttura di riferimento:Dipartimenti > Dipartimento di Matematica
Dipartimenti > Dipartimento di Salute della Donna e del Bambino
Codice ID:8801
Depositato il:14 Jul 2015 10:02
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