Mathematical Modeling for lung infections. Clarelli, F. Ph.D. Thesis, February, 2007. doi abstract bibtex The main purpose of this work is to investigate mathematical models able to describe problems arising in human lungs. We shall focus our attention specifically on the first human immune response due to the infection of tuberculosis, and on the nitric oxide-gas exchange in the lungs, as a non-invasive marker of lung infections. Hereby, this thesis work is composed by two parts. In the first one, we develop two deterministic differential models describing the immune response to mycobacterium tuberculosis (M.TB.) infection, i.e. the formation of granulomas. We make an analytical validation of the models and we build up numerical algorithms able to simulate this process under different conditions. In the second one, we develop a model describing the nitric oxide (NO) exchange in the lungs for healthy and ill patients; here, we find exact solutions and we build up numerical algorithms able to simulate this process by theoretical and experimental data.
@phdthesis{clarelli_mathematical_2007,
title = {Mathematical {Modeling} for lung infections},
abstract = {The main purpose of this work is to investigate mathematical models able to describe problems arising in human lungs. We shall focus our attention specifically on the first human immune response due to the infection of tuberculosis, and on the nitric oxide-gas exchange in the lungs, as a non-invasive marker of lung infections. Hereby, this thesis work is composed by two parts. In the first one, we develop two deterministic differential models describing the immune response to mycobacterium tuberculosis (M.TB.) infection, i.e. the formation of granulomas. We make an analytical validation of the models and we build up numerical algorithms able to simulate this process under different conditions. In the second one, we develop a model describing the nitric oxide (NO) exchange in the lungs for healthy and ill patients; here, we find exact solutions and we build up numerical algorithms able to simulate this process by theoretical and experimental data.},
author = {Clarelli, Fabrizio},
month = feb,
year = {2007},
doi = {10.13140/RG.2.1.2594.4805}
}
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