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Development of aComputational Model of Glucose

 Toxicity in the Progression ofDiabetes Mellitus

#e

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*b+ectives

•

Present the initial system of interest,• Glucose-nsulin-Glucagon #eedbac/ !oop

• ntroduce the simple linear model of the given sy

• dentify properties of the system 0ith biologicalsigni1cance.

• Demonstrate the modi1cations selected to eluciconcepts manifested in the system utilizing themathematical model.

• Propose future path0ays to continue this 0or/.

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2ystem of nterest

https,33physiologypro+ect.0i/ispaces.com31le3vie034egative5#eedbac/&5Glucose.gif3$6)7)8''$

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nitial !inear ModelGlucose from

Glycogen ;rea/do0n

GlucoseMetabolized due to

nsulin

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• The units suggest thisconstant determines ho0

many glucose molecules areabsorbed per nsulinmolecule. " decrease in thisconstant=s value shouldevidence the progression of

nsulin

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nsulin Production

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2imultaneous nteraction

•

f both @-cell decay and nsulin

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Modeling nsulin

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Modeling @-cell decay

•

Bhen insulin resistance proportions for the extreelevation of glucose concentrations& the @-cellpopulation 0ill begin to decay. To modify it in a logistic depletion instead of exponential decay& tdecay should also be proportional to the currentmass.

•

 

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Glucose ?volution nsulin ?volution ;eta Cell Po?voluti

#at Deposition nsulin

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Conclusions

•

 Through biological intuition and limited assumptreasonable mathematical model of Diabetes mecan be adeuately developed.

• Hualitative analysis of the model developed illusho0 enlightening mathematical modelling can b

given biological situation.• "s for the moment& the model suggests there is

de1nitely a period in 0hich the progression of Dmellitus is reversible.

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#uture Bor/

•

" variety of constants and functions remain to be deand optimized through experimentation and literaturevision.

• The optimal implementation of degree of insulin resiand fat deposition as a function of time is still being

• *ther eFects including the limited capacity of the insreserve are also being ta/en under consideration.

• Movement to a more po0erful method of integrationthe ?uler method 0ill allo0 for more detail on certaincharacteristics of our system.