Artigo de periodico

On the dynamical behaviour of a glucose-insulin model (2022)

• Authors:
  • Trobia, José
  • Souza, Silvio Luiz Thomaz de
  • Santos, Margarete A dos
  • Szezech Junior, José Danilo
  • Batista, Antonio Marcos
  • Borges, Rafael R
  • Pereira, Leandro da S
  • Protachevicz, Paulo Ricardo
  • Caldas, Iberê Luiz
  • Iarosz, Kelly Cristiane
• USP affiliated authors: CALDAS, IBERE LUIZ - IF ; PROTACHEVICZ, PAULO RICARDO - IF
• Unidade: IF
• DOI: 10.1016/j.chaos.2021.111753
• Subjects: CAOS (SISTEMAS DINÂMICOS); COMPORTAMENTO CAÓTICO NOS SISTEMAS
• Language: Inglês
• Abstract: Insulin is a hormone that plays a crucial role in controlling the transport of glucose from the blood to inside the cells. In the pancreas, the insulin is secreted by the β cells, according to the blood glucose con- centration, and the interaction of insulin with the glucose is responsible for providing energy to the cells. In this work, we study the dynamical behaviour of a mathematical model, validated by experimental data, that considers the relationship between glucose and insulin concentrations, as well as the role of the β cells. Depending on the control parameters, the model can exhibit periodic and chaotic behaviours. Based on these behaviours, we identify complex structures in the parameter space, namely shrimp-shaped pe- riodic windows immersed in chaotic regions. Furthermore, a parametric perturbation in the parameter related to the rate increase of insulin level secreted by cells can suppress chaos, inducing either periodic or quasi-periodic behaviour. We also investigate the structure of basins of periodic and chaotic attractors in the glucose-insulin system under parametric perturbation; the boundaries between these basins have fractal structures for some control parameters.
• Imprenta:
  • Publisher: Elsevier
  • Publisher place: Amsterdam
  • Date published: 2022
• Source:
  • Título: Chaos, Solitons & Fractals
  • Volume/Número/Paginação/Ano: V. 155, n. 2, p. 111753/1-111753/8, 2022

Informações sobre o DOI: 10.1016/j.chaos.2021.111753 (Fonte: oaDOI API)
• Este periódico é de assinatura
• Este artigo NÃO é de acesso aberto
  
• Cor do Acesso Aberto: closed

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• ABNT

  TROBIA, José et al. On the dynamical behaviour of a glucose-insulin model. Chaos, Solitons & Fractals, n. 2, p. 111753/1-111753/8, 2022Tradução . . Disponível em: https://doi.org/10.1016/j.chaos.2021.111753. Acesso em: 28 dez. 2025.

• APA

  Trobia, J., Souza, S. L. T. de, Santos, M. A. dos, Szezech Junior, J. D., Batista, A. M., Borges, R. R., et al. (2022). On the dynamical behaviour of a glucose-insulin model. Chaos, Solitons & Fractals, ( 2), 111753/1-111753/8. doi:10.1016/j.chaos.2021.111753

• NLM

  Trobia J, Souza SLT de, Santos MA dos, Szezech Junior JD, Batista AM, Borges RR, Pereira L da S, Protachevicz PR, Caldas IL, Iarosz KC. On the dynamical behaviour of a glucose-insulin model [Internet]. Chaos, Solitons & Fractals. 2022 ;( 2): 111753/1-111753/8.[citado 2025 dez. 28 ] Available from: https://doi.org/10.1016/j.chaos.2021.111753

• Vancouver

  Trobia J, Souza SLT de, Santos MA dos, Szezech Junior JD, Batista AM, Borges RR, Pereira L da S, Protachevicz PR, Caldas IL, Iarosz KC. On the dynamical behaviour of a glucose-insulin model [Internet]. Chaos, Solitons & Fractals. 2022 ;( 2): 111753/1-111753/8.[citado 2025 dez. 28 ] Available from: https://doi.org/10.1016/j.chaos.2021.111753

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