A Three-Dimensional Computational Model of the Innate Immune System

Rocha, Pedro Augusto F.; Xavier, Maicom Peters; Pigozzo, Alexandre Bittencourt; Quintela, Bárbara de Melo; Macedo, Gilson Costa; Santos, Rodrigo Weber dos; Lobosco, Marcelo

doi:10.1007/978-3-642-31125-3_52

Cited by 9 publications

(4 citation statements)

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“…An effort to parallelize the coupling of models is still in progress [ 43 ] and does not rely in the scope of this paper. More information about the implementation of the PDEs can be obtained in [ 40 ].…”

Section: Methodsmentioning

confidence: 99%

“…A set of PDEs was used to reproduce important phenomena such as the temporal order of cells arriving at the local of infection, the production of proinflammatory and anti-inflammatory cytokines, and the chemotaxis phenomenon. The model has been extended (a) to allow the use of a three-dimensional domain in order to better represent the site of infection and (b) to use parallel programming techniques to guarantee a reasonable simulation time [ 43 ]. This work extends our previous models [ 42 , 43 ], enabling the innate IS to activate the adaptive one.…”

Section: Introductionmentioning

confidence: 99%

“…The model has been extended (a) to allow the use of a three-dimensional domain in order to better represent the site of infection and (b) to use parallel programming techniques to guarantee a reasonable simulation time [ 43 ]. This work extends our previous models [ 42 , 43 ], enabling the innate IS to activate the adaptive one. The main contribution of this work is a mathematical model that reproduces the dynamics of both innate and adaptive IS, coupling for this purpose models of different nature and scales.…”

Section: Introductionmentioning

confidence: 99%

“…Section 2 presents the biological model used in this work and the coupling of the mathematical models. The IS model presented in this work was simplified when compared to our previous models [ 42 , 43 ]. The complete model was not used in order to focus on the integration of the two different models: (a) local tissue and (b) lymph nodes.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

On the Coupling of Two Models of the Human Immune Response to an Antigen

Quintela¹,

Santos²,

Lobosco³

2014

BioMed Research International

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The development of mathematical models of the immune response allows a better understanding of the multifaceted mechanisms of the defense system. The main purpose of this work is to present a scheme for coupling distinct models of different scales and aspects of the immune system. As an example, we propose a new model where the local tissue inflammation processes are simulated with partial differential equations (PDEs) whereas a system of ordinary differential equations (ODEs) is used as a model for the systemic response. The simulation of distinct scenarios allows the analysis of the dynamics of various immune cells in the presence of an antigen. Preliminary results of this approach with a sensitivity analysis of the coupled model are shown but further validation is still required.

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Section: Methodsmentioning

confidence: 99%