Mathematical model of glucose concentration in blood plasma
DOI:
https://doi.org/10.34117/bjdv9n12-101Keywords:
model of glucose concentration, blood plasmaAbstract
An analysis is made of the dynamic properties of the glucose, glucagon and other hormones (insulin) concentration system in the blood; The estimation of parameters was done by non-linear least squares for glucose and for the stability of the system the method of eigenvalues, the response of the system was also obtained using transfer functions with unit step input. As a result of the estimation of parameters and simulation of the system, it allowed us to observe that this control strategy by least squares and transfer functions obtained similar results.
References
Ackerman, E. , Rosevar, J.W.and W.F. McGuckin,( 1964) Mathematical model of the glucose tolerance test, Phys. Med. Biol. 203-213
Bolie,V.W. (1961) Coefficients of Normal Blood Glucose Regulation, J. Appl. Physiol, Vol. 16, pp. 783-788.
Bergman, R.N., Y. Ziya Ider, C.R. Bowden, C. Cobelli, (1979). Quantitative Estimation of Insulin Sensitivity, American Physiological Society, 236 pags. 667-677.
Isabella Eduarda de Godoy Oliveira, Rafael Christofoli Cavalcanti, Bruna Arese Camara Silva Neto, Beatriz do Nascimento Bacelar, Igor Caminha Tokarski, Carolina Cotrim Guedes, Giovanna Santos Fruet, Ana Júlia Santa Bárbara Rehem, Méto Ana Flávia Silva Castro, Theo Rezende Camargo(2023) Métodos diagnósticos da doença celíaca: uma revisão de literatura Brazilian Journal of Development, Curitiba, v.9, n.9, p.26829-26840.
Lawrence Perko, (2001), Differential Equations and Dynamical Systems, Texts in Applied Mathematics 7, Third Edition, Ed. Springer.
Matthew M. Peet (2020)Routh-Hurwitz Stability Criterion.Arizona State University Lecture 10
Natalia Garcia Adorno, Carolina Muniz e Silva, Myllena Marques Nunes, Severino Correia do Prado Neto, Aline Macedo La Ruina Doering, Letícia Santos Alves de Oliveira(2023) Lúpus e Síndrome HELLP: relato de caso. Brazilian Journal of Development, Curitiba, v.9, n.9, p.26224-26234.
Pancrease: http:// sml. Snl. no/ bukspy ttkjertelen (http://en.wikipedia.org/wiki/pancreas).
PSA Santos, SRM Mateus, MF de Oliveira Silva, PT de Souza Figueiredo(2021) Perfil epidemiológico da mortalidade de pacientes internados por Covid-19 na unidade de terapia intensiva de um hospital universitário
Brazilian Journal of Development 7 (5), 45981-45992
Katsuhiko Ogata, (2010), Ingeniería de Control Moderna; Quinta Edición Editorial Pearson
Rosado, Y.C.(2009), Mathematical Model for Detecting Diabetes, the University of Puerto Rico, Huamacao
Blood Sugar Regulation: http:// www. Biologyreference.com/ bl-ce/ Blood-Sugar-Regulation.html Paolo V, Avagaro A, Spilker M E, Gallo A, Cobelli C, (2002) Epinephrine effets on insulim-glucose dynamics, Am J physiol Endocrinol Metab 283; E78-E83

