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Monday, August 10, 2020 | History

2 edition of mathematical model of and a monitoring technique fro glucose regulation. found in the catalog.

mathematical model of and a monitoring technique fro glucose regulation.

Anthony Michael Albisser

mathematical model of and a monitoring technique fro glucose regulation.

by Anthony Michael Albisser

  • 244 Want to read
  • 22 Currently reading

Published in [Toronto] .
Written in English

    Subjects:
  • Glucose,
  • Homeostasis,
  • Biological control systems -- Mathematical models

  • Edition Notes

    ContributionsToronto, Ont. University. Theses (Ph.D.)
    Classifications
    LC ClassificationsLE3 T52 PHD 1968 A53
    The Physical Object
    Pagination[175 leaves]
    Number of Pages175
    ID Numbers
    Open LibraryOL17429088M

    Blood Glucose Monitoring Kit, ABOX Diabetes Testing Kit Glucose Meter Kit with with 25 Test Strips, 25 Lancets and Everything You Need to Test Blood Sugar Level out of 5 stars $ $ . In this article, we propose utilizing a validated robust model-based fault detection technique, based on interval analysis, for detecting disconnections of the insulin infusion set. For this purpose, a previously validated metabolic model of glucose regulation in type 1 diabetes mellitus (T1DM) and a continuous glucose monitoring device were used.

      ABC derivative provide continuous monitoring with finite time but Caputo and Caputo Fabrizio technique fail to monitoring the glucose and insulin level in the human body. That was the main important thing to check glucose output with insulin input to close loop design for the development of artificial pancreas.   Many patients with diabetes develop poor blood-glucose monitoring habits over time. Reviewing technique helps assure the process is painless.

    Abstract. The life history of the so-called “minimal model” of glucose regulation can be traced back over two decades. During the decades after World War II, the science of cybernet-ics was introduced by Norbert Weiner at MIT (Weiner,). Non-Invasive Glucose Monitoring devices use Multivariate Calibration (MC) methods to estimate glucose concentration in blood. The accuracy of methods depends on spectral data obtained from tongue-to-spectrometer interface. In this work we examine four widely used MC methods, they are: classical least square (CLS), inverse least square (ILS), principal component (PC) and partial least .


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Mathematical model of and a monitoring technique fro glucose regulation by Anthony Michael Albisser Download PDF EPUB FB2

It is commonly recognized that MM is a well-known and successful mathematical model in simulating glucose metabolism and insulin kinetics. This is also why we cannot skip the introduction of the model.

In our current study, however, we focused mainly on presenting a new approach of parameters estimation on glucose-insulin regulatory by: 8. Multiple mathematical models of glucose-insulin interaction have been proposed (see, e.g., the review articles [1,15]), but perhaps the most widely known and widely used was suggested by Richard Bergman, Claudio Cobelli, and colleagues by the early s.

Their minimal model proposed in [7,8] utilizes a system of ordinary. In this paper, a new mathematical model for insulin-glucose regulation system is introduced based on well-known Lokta-Volterra model.

Chaos is a common property in complex biological systems in. G. Bleckert, U.G. Oppel, E. Salzsieder, Mixed graphical models for simultaneous model identification and control applied to the glucose-insulin metabolism, Comput. Methods Programs Biomedicine 56 () – [19] V.W.

Bolie, Coefficients of normal blood glucose regulation, J. Appl. Physiol. 16 () – [20] by: A glucose infusion term representing the effect of glucose intake resulting from a meal is then introduced into both model equations. A theoretical analysis is then undertaken to determine the most effective insulin infusion programs for the control of plasma glucose levels following a by: 1.

Mathematical Model for Glucose-Insulin Regulatory System 41 X and insulin level I. Many parameters have been taken and on the basis of these parameters values a mathematical model is formed.

This model includes the basal values also i.e. Gb and Ib. The modal is defined as: 12 1b dG mG m I mG dt =− + + 23 3 6bb dX mX mI mI mI dt. A Mathematical Model of Glucose - Insulin regulation under the influence of externally ingested 55 | P a g e diabetes may be controlled with medications.

Both type-1 and type-2 are chronic conditions those cannot be cured permanently. To complement the model predictive control formulation, an enhanced Kalman observer is designed, able to adequately estimate the state even in cases when some of the system inputs are unknown.

To assess the proposed controller, the problem of the glucose regulation in type 1 diabetes patients under challenging conditions is tackled.

A mathematical model describing the relationship between the human glucose level, insulin, and food is first presented. Then, a generalized fuzzy logic controller, including a set of fuzzy logic rules, is introduced to regulate glucose levels for diabetic patients.

Following the fuzzy logic controller, simulation is presented. Glucose Monitoring Devices: Measuring Blood Glucose to Manage and Control Diabetes presents the state-of-the-art regarding glucose monitoring devices and the clinical use of monitoring data for the improvement of diabetes management and control.

Chapters cover the two most common approaches to glucose monitoring–self-monitoring blood glucose and continuous glucose monitoring. Diabetes affects millions of Americans, and the correct identification of individuals afflicted with this disease, especially of those in early stages or in progression towards diabetes, remains an active area of research.

The minimal model is a simplified mathematical construct for understanding glucose-insulin interactions. Developed by Bergman, Cobelli, and colleagues over three decades ago. A combination of dynamic inversion philosophy of nonlinear control with model-following adaptive technique, for robustness of controller, is proposed for control of glucose level as near as possible to basal value in Type I diabetes mellitus patient.

Proposed technique exploits Bergman minimal model representing glucose-insulin dynamics. A nominal controller based on the principal of dynamic. The frequent monitoring of glucose is an essential part of diabetes management.

Despite the fact that almost all the commercially successful blood glucose monitoring devices are invasive, there is. We have evaluated the feasibility of using a mathematical model of glucose disappearance to estimate insulin sensitivity.

Glucose was injected into conscious dogs at, or mg/kg. Abstract. Blood glucose monitoring is essential for making safe and informed therapeutic changes in individuals on insulin treatment. Fingerprick capillary glucose monitoring is recommended at least four times daily as a mean of improving glycemic control and.

The life history of the so-called “minimal model” of glucose regulation can be traced back over two decades. During the decades after World War II, the science of cybernet-ics was introduced. This causes the glucose level in blood to increase.

An algorithm based on Integral High-Order Sliding Mode technique is proposed, which keeps the normal blood glucose level automatically releasing insulin into the blood.

The system is highly insensitive to inevitable parametric and model uncertainties, measurement noises and small delays. Type 1 diabetes mellitus (T1DM) treatment depends on the delivery of exogenous insulin to obtain near normal glucose levels. This article proposes a method for blood glucose level regulation in.

(desired glucose level) is determined based on exper-imental data, not on a mathematical theory. A control rule is then formulated either as a curve fitting tech-nique or as a look-up table using the experimental data as the basis.

The model-based approaches involve the use of a mathematical model in the control of blood glucose level. The. To monitor the peripheral glucose metabolism, blood samples of glucose and insulin are regularly taken at times t = 0,, (minutes).

While blood glucose and insulin concentrations do not differ between conditions, overall cerebral high-energy phosphate measurements display a biphasic course upon tDCS as. F(t) is the external rate at which the Blood Glucose concentration (BGC) is being increased. 2. Mathematical Model use Glucose Tolerence Test Formulate a second order differential equations model to describe the performance of BGRS during a GTT.

Let g 0 and h 0 be the optimal value of g and h respectively. We set g = G – G 0 and h = H – H 0.In Silico Subjects. The mathematical model providing the base for the in silico subjects of the simulation environment has been described in detail in previous publications.

Specifically, the previously reported glucose–insulin meal model of Dalla Man and Cobe31 serves as the foundation for the simulation environment.

Briefly, the model assumes that the glucose and insulin subsystems.THE MATHEMATICAL MODEL OF DIABETES. In order to have a reliable automatic insulin delivery system under various physiological conditions, a model must be created to predict glucose which includes all the major energy providing substrates at rest and during physical activity.

In the glucose based existing mathematical model [6], contribution.