Mathematical Modeling of Immunosenescence: Scenarios, Processes and Limitations
Mathematical modeling of immunosenescence is the new area of research emerging at the interface of the immunology, gerontology, and mathematics. In this paper we outline basic variables important for modeling aging immunity. We discuss the role of evolution in shaping pattern of aging in the immune system of modern humans. We investigate mathematical models of postnatal changes in the population of peripheral T-cells, effects of the antigenic load during development on the body growth, and contribution of immunosenescence to the old age increase in the risk of death from respiratory infections.
Unable to display preview. Download preview PDF.
- Hazenberg MD, Cohen Stuart JWT, Otto SA, Borleffs JCC, Boucher CAB, de Boer RJ, Miedema F, Hamann D (2000) T-cell division in human immunodeficiency virus (HIV)-1 infection is mainly due to immune activation: a longitudinal analysis in patients before and during highly active antiretroviral therapy (HAART). Blood 95:249–255PubMedGoogle Scholar
- Kleiber M (1932) Body size and metabolism. Hilgardia 6:315–353Google Scholar
- Marchuk G (1997) Mathematical modelling of immune response in infectious diseases. Kluwer Academic Publishers, DordrechtGoogle Scholar
- Marchuk GI, Petrov RV, Romanyukha AA, Bocharov GA (1991) Mathematical model of antiviral immune response. I. Data analysis, generalized picture construction and parameters evaluation for hepatitis B. J Theor Biol 151:P1–40Google Scholar
- Romanyukha AA, Rudnev SG (2001) A variational principle for modeling infection immunity by the example of pneumonia. Math Modelling 13:P65–84 (in Russian)Google Scholar
- Rufer N, Brümmendorf TH, Kolvraa S, Bischoff C, Christensen K, Wadsworth L, Schulzer M, Lansdorp PM (1999) Telomere fluorescense measurements in granulocytes and T-lymphocyte subsets point to a high turnover of hematopoietic stem cells and memory T-cells in early childhood. J Exp Med 190:157–167PubMedCrossRefGoogle Scholar
- Sannikova TE (2007) Analysis of infectious mortality by means of the individualized risk model. ECMTB05 conference proceedings “Mathematical modeling of biological systems, volume II”, A Deutsch et al (ed) Birkhäuser, Boston, pp 169–181Google Scholar
- Ye P, Kirschner DE (2002) Reevaluation of T-cell receptor excision circles as a measure of human recent thymic emigrants. J Immunol 169:4968–4979Google Scholar