Immune response modeling under viral load
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2023-07-05 12:31
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57:51-76 (1)
Științe biologice în general (3558)
Matematică (1636)
SM ISO690:2012
YALTYCHENKO, Olga, GORINCHOY, Natalia, DUKA, Gh.. Immune response modeling under viral load. In: Ecological and environmental chemistry : - 2022, Ed. 7, 3-4 martie 2022, Chișinău. Chisinau: Centrul Editorial-Poligrafic al USM, 2022, Ediția 7, Vol.1, pp. 73-74. ISBN 978-9975-159-07-4.. 10.19261/eec.2022.v1
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Ecological and environmental chemistry
Ediția 7, Vol.1, 2022
Conferința "Ecological and environmental chemistry 2022"
7, Chișinău, Moldova, 3-4 martie 2022

Immune response modeling under viral load

CZU: 57:51-76

Pag. 73-74

Yaltychenko Olga1, Gorinchoy Natalia2, Duka Gh.2
 
1 Institute of Applied Physics,
2 Institute of Chemistry
 
Proiecte:
 
Disponibil în IBN: 4 martie 2022


Rezumat

The creation of adequate mathematical models in immunology is becoming an even more priority and urgent task. In this work, the model ―lymphocytes (killer cells) – antigen‖ is proposed. This model, in its minimal form, looks like: (1) (2) Here x-concentration of antigen, y-killer lymphocytes, the first term of equation (1) describes the increase in antigen concentration, the second term is responsible for the destruction of antigen by killer lymphocytes. The second equation in the system describes the dynamics of killer lymphocytes. In it, the first term describes their multiplication (at small values of x, the proliferation of lymphocytes is stimulated, at large values it decreases (the so-called ―crowding effect‖). The second term in the second equation corresponds to the death of lymphocytes when they interact with the antigen, the last term corresponds to the influx of lymphocytes from stem cells Depending on the values of the parameters, a pair of differential equations (1), (2) can be solved numerically.There are three types of solutions. Case I corresponds to an absolute insufficiency of immunological surveillance, the integral curves tend to the point (∞, 0), which means a catastrophic increase in the antigen and a decrease in the concentration of lymphocytes to zero values. Case II corresponds to a situation where the disease is under control and depending on the initial conditions, the recovery scenario may differ slightly. Case III corresponds to a quick recovery and absolute immune competence (possible as a result of prior vaccination or innate immunity).