Modeling biomarker dynamics with implications for the treatment of prostate cancer.
Hedican, Erin B., Kemper, John T., Lanie, Nicole M. (2007)
Computational & Mathematical Methods in Medicine
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Hedican, Erin B., Kemper, John T., Lanie, Nicole M. (2007)
Computational & Mathematical Methods in Medicine
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M. Comba, S. Martorano-Raimundo, E. Venturino (2012)
Mathematical Modelling of Natural Phenomena
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A decision analytical model is presented and analysed to assess the effectiveness and cost-effectiveness of routine vaccination against varicella and herpes-zoster, or shingles. These diseases have as common aetiological agent the varicella-zoster virus (VZV). Zoster can more likely occur in aged people with declining cell-mediated immunity. The general concern is that universal varicella vaccination might lead to more cases of zoster:...
Kramer, Ivan (2008)
Computational & Mathematical Methods in Medicine
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Kheifetz, Yuri, Elishmereni, Moran, Horowitz, Smadar, Agur, Zvia (2006)
Computational & Mathematical Methods in Medicine
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Marek Kimmel, Olga Gorlova (2003)
International Journal of Applied Mathematics and Computer Science
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A construction of a realistic statistical model of lung cancer risk and progression is proposed. The essential elements of the model are genetic and behavioral determinants of susceptibility, progression of the disease from precursor lesions through early (localized) tumors to disseminated disease, detection by various modalities, and medical intervention. Using model estimates as a foundation, mortality reduction caused by early-detection and intervention programs can be predicted under...
Fenollar-Ferrer, C., Carnevale, V., Raugei, S., Carloni, P. (2008)
Computational & Mathematical Methods in Medicine
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Hanin, L.G. (2002)
Discrete Dynamics in Nature and Society
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Jan Poleszczuk, Iwona Skrzypczak (2011)
Applicationes Mathematicae
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We propose a model of vascular tumour growth, which generalises the well recognised model formulated by Hahnfeldt et al. in 1999. Our model is based on the same idea that the carrying capacity for any solid tumour depends on its vessel density but it also incorporates vasculature quality which may be lost during angiogenesis as recognised by Jain in 2005. In the model we assume that the loss of vessel quality affects the diffusion coefficient inside the tumour. We analyse basic mathematical...