Modeliranje regulacije krvnega sladkorja

diplomski seminar na bolonjskem študijskem programu 1. stopnje Fizika

Vito Šimonka (Author), Milan Brumen (Mentor), Aleš Fajmut (Co-mentor)

Abstract

V seminarju obravnavamo modeliranje regulacije krvnega sladkorja. Predstavimo dva modela. Minimalni model zajema koncentraciji glukoze in inzulina v krvni plazmi in aktivnost inzulina v medcelični tekočini. V kompleksnejšem modelu je kot modelna spremenljivka upoštevan tudi glukagon, ki sistemu omogoča vrnitev v stacionarno stanje po kratkotrajnem dvigu ravni glukoze v krvni plazmi. Predstavljene so simulacije različnih stanj, v katerih se lahko nahaja biološki sistem: hiperglikemija, glukozni šok in diabetes. Simuliran je tudi časovni potek koncentracij glukoze, inzulina in drugih modelnih spremenljivk po zaužitju obrokov.

Keywords

diplomski seminarji;fizika;regulacija;inzulin;matematično modeliranje;glukagon;glikogen;glukoza;

Data

Language:	Slovenian
Year of publishing:	2012
Source:	Maribor
Typology:	2.11 - Undergraduate Thesis
Organization:	UM FNM - Faculty of Natural Sciences and Mathematics
Publisher:	[V. Šimonka]
UDC:	53(043.2)
COBISS:	19356936
Views:	1628
Downloads:	235
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	Modeling of blood sugar regulation
Secondary abstract:	In the seminar we study models of blood sugar regulation. Two models are presented. The minimal model considers plasma glucose and insulin concentration as well as interstitial insulin activity. The upgraded model additionally includes glucagon as a system variable which enables the system to recover to the steady state after the transient rise of glucose concentrations in the blood plasma. Different states of biological system are presented and discussed in the seminar: hyperglicemia, glucose shock and diabetes. We also simulate the time evolution of concentrations of blood glucose, insulin and other model variables after consumed meal.
Secondary keywords:	regulation of glucose;insulin;glucagon;glycogen;mathematical modeling;diabetes;
URN:	URN:SI:UM:
Type (COBISS):	Final seminar paper
Thesis comment:	Univ. v Mariboru, Fak. za naravoslovje in matematiko, Oddelek za fiziko
Pages:	19 f.
Keywords (UDC):	mathematics;natural sciences;naravoslovne vede;matematika;physics;fizika;
ID:	995570