A fractional-order simplified cytokine dynamics model formulation
In this work, we present a fractional-order formulation of the interaction dynamics between two cytokine groups. We consider an example of application of a drug that modifies the inhibitory interaction between these two groups. This simplified formulation qualitatively models the complex process obs...
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2022 |
| País: | México |
| Recursos: | UNIVERSIDAD AUTÓNOMA DEL ESTADO DE HIDALGO |
| Repositorio: | PÄDI Boletín Científico de Ciencias Básicas e Ingeniería del ICBI |
| Idioma: | español |
| OAI Identifier: | oai:repository.uaeh.edu.mx:article/8529 |
| Acesso em linha: | https://repository.uaeh.edu.mx/revistas/index.php/icbi/article/view/8529 |
| Access Level: | acceso abierto |
| Palavra-chave: | Caputo's fractional derivative Fractional order Hopf bifurcation Cytokine storm Cytokine Derivada fraccionaria de Caputo Orden fraccionario Bifurcación de Hopf Tormenta de citoquinas Citoquinas |
| Resumo: | In this work, we present a fractional-order formulation of the interaction dynamics between two cytokine groups. We consider an example of application of a drug that modifies the inhibitory interaction between these two groups. This simplified formulation qualitatively models the complex process observed during the so-called cytokine storm, in which a disbalance between the cytokine production can produce a hyperexcited state. In the integer-order model, we establish qualitative results showing a transition from a low-level production state to a high-level production state as the drug dose is increased. On the other hand, under the fractional-order formulation we establish results showing that the system resists such transition as the fractional order is decreased, staying for a longer time in the low concentration state. Considering the memory index interpretation of the fractional-order derivative, our results show that as the memory index is increased, the system is more resistant to the drug, and this, in turn, produces that a higher dose is necessary to transition from a low concentration state to hyperexcited concentration state. |
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