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Title:Optimizacija produkcije entropije in Shannonove informacijske entropije v encimskih reakcijah
Authors:ID Vunjak, Aleš (Author)
ID Dobovišek, Andrej (Mentor) More about this mentor... New window
Files:.pdf UN_Vunjak_Ales_2016.pdf (979,06 KB)
MD5: 8909BDBACDD52ABE75D80654CF327A71
 
Language:Slovenian
Work type:Undergraduate thesis
Typology:2.11 - Undergraduate Thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:Odprti reakcijski sistemi med relaksacijo teţijo v neravnovesno stacionarno stanje. Takšni sistemi so v naravi zelo pogosti. Še najbolj znani so biokemijski procesi v bioloških celicah. Za analizo takšnih sistemov se je v zadnjih desetletjih vse bolj uveljavil princip maksimalne produkcije entropije (princip MPE). V tem diplomskem delu s principom MPE raziskujemo encimsko reakcijo kot primer odprtega neravnovesnega sistema v biološki celici. S principom MPE študiramo, ali encimska reakcija v stacionarnem stanju poteka ob pogoju maksimalne produkcije entropije. Optimizacijski postopek produkcije entropije za encimsko reakcijo, ki ga uporabljamo v diplomskem delu, so razvili raziskovalci Oddelka za fiziko na Fakulteti za naravoslovje in matematiko Univerze v Mariboru. Optimizacijski postopek omogoča teoretične napovedi optimalnih kinetičnih konstant encima, izkoristka reakcije, toka reakcije in termodinamske sile reakcije v stanju z maksimalno produkcijo entropije. Teoretične napovedi modela primerjamo z eksperimentalnimi podatki izmerjenimi za encim glukoza izomeraza [25, 26]. Tako preverjamo veljavnost principa MPE na primeru encimske kinetike. Za reakcijo smo izračunali tudi Shannonovo informacijsko entropijo, ki je v stacionarnem stanju prav tako maksimalna. Izračunana maksimalna vrednost Shannonove informacijske entropije v stanju z maksimalno produkcijo entropije morda nakazuje, da princip MPE opisuje statistično najbolj verjetna neravnovesna stacionarna stanja v odprtih reakcijskih sistemih.
Keywords:encimska reakcija, maksimalna produkcija entropije, Shannonova informacijska entropija, fizikalno - matematični model, optimizacija, glukoza izomeraza
Place of publishing:Maribor
Publisher:[A. Vunjak]
Year of publishing:2016
PID:20.500.12556/DKUM-61044 New window
UDC:536.75(043.2)
COBISS.SI-ID:22543624 New window
NUK URN:URN:SI:UM:DK:G6UPZ1VN
Publication date in DKUM:19.09.2016
Views:2019
Downloads:183
Metadata:XML DC-XML DC-RDF
Categories:FNM
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Secondary language

Language:English
Title:Optimization of entropy production and Shannon information entropy in enzyme reactions
Abstract:Open reaction systems during the relaxation tend to unbalanced steady state. Such systems are very common in nature. Most known are the biochemical processes in biological cells. For the analysis of such systems it was increasingly established principle of maximum entropy production in recent decades (MPE principle). In this diploma thesis we investigated enzymatic reaction as an example of open no equilibrium system in biological cells with the MPE principle. With the MPE principle we study, if enzymatic reaction in the steady state is carried out under the condition of maximum entropy production. The optimization process of entropy production for an enzyme reaction that we are using in our thesis was developed by researchers of the Department of Physics at the Faculty of Natural Sciences and Mathematics of Maribor University. The optimization process allows the theoretical prediction of optimal kinetic constants of the enzyme yield of the reaction, the reaction flow and thermodynamic forces of reaction in a state of maximum entropy production. We are comparing theoretical predictions of the model to the experimental data measured for the enzyme glucose isomerase [25, 26]. In this way we are checking the validity of the MPE principle on the example of enzyme kinetics. For the reaction we also calculated Shannon’s information entropy, which is in a steady state also maximal. Calculated maximum value of the Shannon information entropy in a state of maximum entropy production may indicate that the MPE principle is describing statistically the most likely nonequilibrium stationary states in an open reaction systems.
Keywords:enzyme reaction, maximum entropy production, Shannon information entropy, physical - mathematical model, optimization, glucose isomerase


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