Hardware Implementation of a Non-Linear Observer for a Diabetes Mellitus Type 1 Mathematical Model

WITHDRAWN: Nonlinear ODE mathematical analysis of the insulin-glucose model in the presence of a condition in glycemia function H(G).

“…The LCIS method and conditions for a BPID are helpful when the mathematical model possesses singularities and presents difficulties to be analyzed in the linear domain due to some variables interactions subject to in-vivo dynamics, for instance, model ( 1)- (5). Biological implication due to mathematical results enhances a deep relation in the biomathematics area.…”

“…The third function aim to involve the variable U(t),from the model ( 1)- (5).For this, we propose the following linear function depending on the variable D and is considered a free positive parameter q 3 ,…”

“…In this context, mathematical modeling provides a coherently precise way to assemble information to approximate the phenomenon's overall structure. The method of Localization of Compact Invariant Set (LCIS) is a reliable method that is applied commonly in nonlinear ordinary differential equation (ODE) models, and as a result, it provides sufficient or necessary conditions for the variables related to biological, mechanical, or even in the physical environment leading to a meaningful sense, see [16,17] Furthermore, related to diabetes, the LCIS method provides a broad understanding of β cells behavior in the presence of glucose [5] or with the immunological response [15]. In this work, we are interested in analyzing an ODE model through the LCIS method based on parameter values obtained by in-vitro and in-silico estimation; therefore, the hypothesis aim on how maximum population cells behaves in time based on upper bounds computation.…”

Ultimate Bounds for a Diabetes Mathematical Model Considering Glucose Homeostasis

“…The Localization of Compact Invariant Sets (LCIS) is an analytical method applied to mathematical models described by first-order ODEs to provide bounding conditions for the state variables of a system; see [11,12]. Furthermore, related to diabetes, the LCIS method provides a broad understanding of β-cells behavior in the presence of glucose [13] or with the immunological response [14]. In this paper, we are interested in analyzing through the LCIS method an ODE mathematical model obtained by in vitro and in silico estimation.…”

Sistema de transmisión de RF de señales biomédicas para aplicaciones en telemedicina

“…La pandemia actual trae consigo un incremento exponencial en la población con alguna patología o enfermedad que requiere monitoreo y tratamiento oportuno, aunado a eso en México se tiene una alta tasa de enfermedades crónicas como isquémicas del corazón y alta presión del 30.81% de tasa de morbilidad. Por lo que el monitoreo de pacientes requiere del uso de la tecnología para aplicaciones, transmisión digital y análisis clínicos (Serhani, 2020), esto incluye incluye el uso de diversos dispositivos inalámbricos para el manejo de la información e implementación en dispositivos de hardware (Gamboa, 2019), además de adquisición de señales biomédicas y clasificación para determinar las patologías existentes en los pacientes, basado en sensado de electromiografía (EMG) (Crusaley 2019). Los problemas de señales cardiacas producen a nivel mundial el 31% de las causas de muerte, ya sea de forma directa o relacionada, por lo que el manejo de señales de información de tipo electrocardiograma (ECG) es crucial durante el monitoreo de un paciente.…”