Assessing risks of adverse clinical course and outcome of an infectious disease with mathematical modeling of exposure to environmental factors on the example of aluminum oxide
P.V. Trusov1, N.V. Zaitseva2, V.M. Chigvintsev1, 2
1Perm National Research Polytechnic University, 29 Komsomolskiy prospect, Perm, 614990, Russian Federation
2Federal Scientific Center for Medical and Preventive Health Risk Management Technologies, 82 Monastyrskaya Str., Perm, 614045, Russian Federation
Our research goal was to create a mathematical model that described anti-viral immune response regulation taking into account influence exerted by exposure to variable chemical factors. We analyzed a body response to an infection taking into account innate and adaptive immunity mechanisms. This created mathematical model helps to describe spatial distribution of immune and infectious agents in various organs and systems due to allowing for time lags occurring during interactions between different components participating in the process. The mathematical model is a system of ordinary differential equations with a retarded argument; separate addends of the model describe velocity properties of the processes that produce their effects on the development of an infectious disease. We suggest an algorithm for conducting an experiment aimed at identifying certain parameters related to influence exerted by chemical factors on interaction between the neuroendocrine and immune systems. We calculated dynamics in parameters of the immune and neuroendocrine systems when a viral infection occurs under experimental exposure to aluminum oxide. The suggested approach is applied within the concept of a multi-level human body model that takes into account interactions between systems and functional state of organs that are being examined under exposure to adverse factors of variable genesis. The conducted research provides a qualitative conception about causes that explain quantitative changes in a viral agent when an immune response occurs in a body under exposure to variable factors. This approach can be applied to adjust parameters of existing population models, spread and clinical course of different infections, and to draw up a long-term forecast of an epidemiologic situation which is necessary when risks of infectious diseases are analyzed, including those occurring when a body is exposed to adverse environmental factors.
- Heijnen C.J. Receptor regulation in neuroendocrine-immune communication: current knowledge and future perspectives. Brain, behavior, and immunity, 2007, vol. 21, no. 1, pp. 1–8.
- Pace T.W., Negi L.T., Adame D.D., Cole S.P., Sivilli T.I., Brown T.D., Issa M.J., Raison C.L. Effect of compassion meditation on neuroendocrine, innate immune and behavioral responses to psychosocial stress. Psychoneuroendocrinology, 2009, no. 34, pp. 87–98.
- Ashley N.T., Demas G.E. Neuroendocrine-immune circuits, phenotypes, and interactions. Hormones and Behavior, 2017, vol. 87, pp. 25–34.
- Suarez E.C., Sundy J.S., Erkanli A. Depressogenic vulnerability and gender-specific patterns of neuro-immune dysregulation: What the ratio of cortisol to C-reactive protein can tell us about loss of normal regulatory control. Brain, Behavior, and Immunity, 2015, no. 44, pp. 137–147.
- Lanin D.V., Zaitseva N.V., Dolgikh O.V. Neiroendokrinnye mekhanizmy regulyatsii funktsii immunnoi sistemy [Neuro-endocrine Mechanisms for Regulation of Immune System]. Uspekhi sovremennoi biologii, 2011, no. 2, pp. 122–134 (in Russian).
- Bellavance M., Rivest S. The neuroendocrine control of the innate immune system in health and brain diseases. Immunological Reviews, 2012, vol. 248, no. 1, pp. 36–55.
- Miyake S. Mind over cytokines: Crosstalk and regulation between the neuroendocrine and immune systems. Clinical and Experimental Neuroimmunology, 2012, vol. 3, no. 1, pp. 1–15.
- Poletaev A.B., Morozov S.G., Kovalev I.E. Regulyatornaya metasistema (immunoneiroendokrinnaya regulyatsiya gomeostaza) [Regulatory Metasystem (Immunoneuroendocrine regulation of Homeostasis)]. Moscow, Meditsina Publ., 2002, 166 p. (in Russian).
- Chapman C.R., Tuckett R.P., Song C.W. Pain and Stress in a Systems Perspective: Reciprocal Neural, Endocrine, and Immune Interactions. Journal of Pain, 2008, vol. 9, no. 2, pp. 122–145.
- Savilov E.D., Mal'tsev M.V. Epidemiologicheskaya kharakteristika virusnogo gepatita S v usloviyakh krupnogo promyshlennogo goroda. Zhurnal mikrobiologii, epidemiologii i immunobiologii, 2007, no. 1, pp. 70–71 (in Russian).
- Stepanenko L.A., Il'ina S.V., Savilov E.D. Osobennosti sostoyaniya spetsificheskogo immuniteta k upravlyaemym infektsiyam u detei (na primere kori i poliomielita) v usloviyakh vozdeistviya tekhnogennoi nagruzki [Features of a condition of specific immunity to controlled infections at children (on an example of measles and poliomyelitis) in conditions of technogenic influence of loading]. Byulleten' Vostochno-Sibirskogo nauchnogo tsentra Sibirskogo otdeleniya Rossiiskoi akademii meditsinskikh nauk, 2007, no. S3, pp. 66–68 (in Russian).
- Stepanenko L.A., Savchenkov M.F., Il'ina S.V., Anganova E.V., Savilov E.D. Otsenka sostoyaniya immunnoi sistemy detskogo naseleniya kak markera tekhnogennogo zagryazneniya okruzhayushchei sredy [An assessment of the immune status of the children population as a marker of technogenic pollution of the environment]. Gigiena i sanitariya, 2016, vol. 95, no. 12, pp. 1129–1133 (in Russian).
- Lanin D.V. Analiz koregulyatsii immunnoi i neiroendokrinnoi sistem v usloviyakh vozdeistviya faktorov riska [The analysis of the co-regulation between the immune and neuroendocrine systems under exposure to risk factors]. Analiz riska zdorov'yu, 2013, no. 1, pp. 73–81 (in Russian).
- Zaitseva N.V., Shur P.Z., Mai I.V., Kir'yanov D.A. Metodicheskie podkhody k otsenke integral'nogo riska zdorov'yu naseleniya na osnove evolyutsionnykh matematicheskikh modelei [Approaches to the assessment of integrated health risk population based on evolution of mathematical models]. Zdorov'e naseleniya i sreda obitaniya, 2011, no. 10, pp. 6–9 (in Russian).
- Zaitseva N.V., Trusov P.V., Shur P.Z., Kir'yanov D.A., Chigvintsev V.M., Tsinker M.Yu. Metodicheskie podkhody k otsenke riska vozdeistviya raznorodnykh faktorov sredy obitaniya na zdorov'e naseleniya na osnove evolyutsionnykh modelei [Methodical approaches to health risk assessment of heterogeneous environmental factors based on evolutionary models]. Analiz riska zdorov'yu, 2013, no. 1, pp. 3–11 (in Russian).
- Zaitseva N.V., Kiryanov D.A., Lanin D.V., Chigvintsev V.M. A mathematical model of the immune and neuroendocrine systems mutual regulation under the technogenic chemical factors impact. Computational and Mathematical Methods in Medicine, 2014, vol. 2014 (in Russian).
- Zabel P., Horst H.J., Kreiker C., Schlaak M. Circadian rhythm of interleukin-1 production of monocytes and the influence of endogenous and exogenous glucocorticoids in man. Klinische Wochenschrift, 1990, vol. 68, no. 24, pp. 1217–1221.
- Kerdiles Y., Ugolini S., Vivier E. T cell regulation of natural killer cells. The Journal of Experimental Medicine, 2013, vol. 210, no. 6, pp. 1065–1068.
- Andrew M.E., Churilla A.M., Malek T.R., Braciale V.L., Braciale T.J. Activation of virus specific CTL clones: antigen-dependent regulation of interleukin 2 receptor expression. The Journal of Immunology, 1985, vol. 2, no. 134, pp. 920–925.
- Muraguchi A., Kehrl J.H., Longo D.L., Volkman D.J., Smith K.A., Fauci A.S. Interleukin 2 receptors on human B cells. Implications for the role of interleukin 2 in human B cell function. The Journal of experimental medicine, 1985, vol. 161, no. 1, pp. 181–97.
- Demas G.E., Adamo S.A., French S.S. Neuroendocrine-immune crosstalk in vertebrates and invertebrates: Implications for host defence. Functional Ecology, 2011, vol. 25, no. 1, pp. 29–39.
- Haus E., Smolensky M.H. Biologic rhythms in the immune system. Chronobiology international, 1999, vol. 16, no. 5, pp. 581–622.
- Marchuk G.I., Petrov R.V., Romanyukha A.A., Bocharov G.A. Mathematical model of antiviral immune response. I. Data analysis, generalized picture construction and parameters evaluation for hepatitis B. Journal of Theoretical Biology, 1991, vol. 151, no. 1, pp. 1–40.
- Bocharov G.A., Romanyukha A.A. Mathematical model of antiviral immune response III. Influenza A virus infection. Journal of Theoretical Biology, 1994, vol. 167, no. 4, pp. 323–360.
- Joklik W.K., B.N. Fields, eds. Interferons. New York: Raven Press Publ., 1985, pp. 281–307.
- Tamura S.I., Iwasaki T., Thompson A.H., Asanuma H., Chen Z., Suzuki Y., Aizawa C., Kurata T. Antibody-forming cells in the nasal-associated lymphoid tissue during primary influenza virus infection. Journal of General Virology, 1998, vol. 79, no. 2, pp. 291–299.
- Keenan K.P., Combs J.W., McDowell E.M. Regeneration of hamster tracheal epithelium after mechanical injury. Vir-chows Archiv B Cell Pathology Including Molecular Pathology, 1983, vol. 42, no. 1, pp. 231–252.
- G.A. Bocharov, A.A. Romanyukha. Mathematical model of antiviral immune response III. Influenza A virus infection. Journal of Theoretical Biology, 1994, vol. 167, no. 4, pp. 323–360.
- Zhdanov V.M., Bukrinskaya A.G. Reproduktsiya miksovirusov (virusov grippa i skhodnykh s nimi). Moscow, Medicina Publ., 1969, 280 p. (in Russian).
- Bergeron Y., Ouellet N., Deslauriers A., Simard M., Olivier M., Bergeron M. Cytokine kinetics and other host factors in response to pneumococcal pulmonary infection in mice. Infection and Immunity, 1998, vol. 66, no. 3, pp. 912–922.
- Gloff C., Wills R., B. Ferraiolo, eds. Pharmacokinetics and Metabolism of Therapeutic Cytokines. Plenum Press Publ., New York, 1992, pp. 127–150.
- Felig P., Frohman L., eds. Endocrinology and metabolism. New York, McGraw-Hill Publ., 2001, 1562 p.
- B.J. Carroll, F. Cassidy, D. Naftolowitz [et al.]. Veldhuis Pathophysiology of hypercortisolism in depression. Acta Psychiatrica Scandinavica, 2007, vol. 115, pp. 90–103.
- Vinther F., Andersen M., Ottesen J.T. The minimal model of the hypothalamic-pituitary-adrenal axis. Journal of Mathematical Biology, 2011, vol. 63, no. 4, pp. 663–690.
- Brand J.M., Schmucker P., Breidthardt T., Kirchner H. Upregulation of IFN- γ and Soluble Interleukin-2 Receptor Release and Altered Serum Cortisol and Prolactin Concentration during General Anesthesia. Journal of Interferon & Cytokine Research, 2001, vol. 10, no. 21, pp. 793–796. DOI: 10.1089/107999001753238024
- Yoneda K., Osaki T., Yamamoto T., Ueta E. Effects of tumour necrosis factor-alpha (TNF-alpha), IL-1 beta and monocytes on lymphokine-activated killer (LAK) induction from natural killer (NK) cells and T lymphocytes. Clinical & Experimental Immunology, 1993, vol. 2, no. 93, pp. 229–236.
- Callewaert D.M., Moudgil V.K., Radcliff G., Waite R. Hormone specific regulation of natural killer cells by cortisol. Direct inactivation of the cytotoxic function of cloned human NK cells without an effect on cellular proliferation. FEBS Letters, 1991, vol. 1, no. 285, pp. 108–110.
- Marchuk G.I., Berbentsova E.P. Ostrye pnevmonii. Immunologiya, otsenka tyazhesti, klinika, lechenie. Moscow, Nauka Publ., 1989, 304 p. (in Russian).
- Callewaert D.M., Moudgil V.K., Radcliff G., Waite R. Hormone specific regulation of natural killer cells by cortisol. Direct inactivation of the cytotoxic function of cloned human NK cells without an effect on cellular proliferation // FEBS Lett, 1991, vol. 285, no. 1, рр. 108–110.
- Wohlfartt C. Neutralization of Adenoviruses: Kinetics, Stoichiometry, and Mechanisms // J. Immunol. 1988, vol. 62, no. 7, рр. 2321–2328.