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master's thesis
Redistribucija molekularnih motora tijekom oscilacija jezgre
Zagreb: University of Zagreb, Faculty of Science, 2015. urn:nbn:hr:217:681875
Bosilj, Agneza
University of Zagreb
Faculty of Science
Department of Physics

Institutional repository: Repository of the Faculty of Science

Cite this document

Bosilj, A. (2015). Redistribucija molekularnih motora tijekom oscilacija jezgre (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:681875

Bosilj, Agneza. "Redistribucija molekularnih motora tijekom oscilacija jezgre." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:681875

Bosilj, Agneza. "Redistribucija molekularnih motora tijekom oscilacija jezgre." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:681875

Bosilj, A. (2015). 'Redistribucija molekularnih motora tijekom oscilacija jezgre', Master's thesis, University of Zagreb, Faculty of Science, accessed 23 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:681875

Bosilj A. Redistribucija molekularnih motora tijekom oscilacija jezgre [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2015 [cited 2024 December 23] Available at: https://urn.nsk.hr/urn:nbn:hr:217:681875

A. Bosilj, "Redistribucija molekularnih motora tijekom oscilacija jezgre", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2015. Available at: https://urn.nsk.hr/urn:nbn:hr:217:681875

Metadata
TitleRedistribucija molekularnih motora tijekom oscilacija jezgre
Title (english)Redistribution of molecular motors during nuclear oscillations
AuthorAgneza Bosilj
MentorMatko Glunčić (mentor)
Committee memberMatko Glunčić (predsjednik povjerenstva)
Committee memberDanko Radić (član povjerenstva)
Committee memberMihael Grbić (član povjerenstva)
Committee memberVito Despoja (član povjerenstva)
Committee memberNikola Poljak (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Physics)
Zagreb
Defense date and country2015-06-01, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract
Stanice kvasca S. pombe primjer su bioloških organizama kod kojih do miješanja genetskog materijala tijekom mejoze dolazi uslijed oscilacija jezgre. Takve oscilacije promatrane su eksperimentalno te je u dosadašnjim istraživanjima razvijen teorijski model koji opisuje mehanizme koji pokreću oscilacije. U ovom radu pronašli smo numerička rješenja za teorijski model, proveli analizu linearne stabilnosti i ispitali pojavu Hopfove bifurkacije u prostoru parametara čije vrijednosti nisu poznate iz eksperimenata: k_on c i f_c. Kao rezultat dobiven je bifurkacijski dijagram u kojem su prepoznata podru čja vrijednosti parametara u kojima će model kao rješenja davati stabilne i nestabilne periodične trajektorije. Utvrdeno je da za vrijednosti parametra f_c > 5:8pN sustav nikada neće pokazivati oscilatorno ponašanje, dok za f_c less or quivalent 1:75pN dolazi do pojave podkritične Hopfove bifurkacije. Unutar intervala 1:75pN less or quivalent f_c < 5:8pN promjenom parametra k_on c od nule prema većim vrijednostima sustav će brzo razviti stabilne oscilacije.
Abstract (english)
Yeast cells S. pombe are examples of biological organisms in which the mixing of genetic material during meiosis occurs due to oscillation of the nucleus. Such oscillations were observed experimentally and in previous research developed a theoretical model that describes the mechanisms that drive the oscillation. In this paper we found numerical solutions for the theoretical model, conducted the analysis of linear stability and examined the occurrence of Hopf bifurcation in the space of parameters whose values are not known from experiments: k_on c i f_c. This resulted in the bifurcation diagram in which the values of the parameters identified areas in which the model as solutions provide stable and unstable periodic orbits. It was found that for the value of the parameter fc > 5:8pN system will never show oscillatory behavior, while for f_c less or quivalent 1:75pN reported the occurrence of subcritical Hopf bifurcation. Within the interval 1:75pN less or quivalent f_c < 5:8pN changing parameter k_on c from zero to greater values, system will quickly develop a stable oscillations.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:681875
Study programmeTitle: Physics; specializations in: Research
Course: Research
Study programme type: university
Study level: integrated undergraduate and graduate
Academic / professional title: magistar/magistra fizike (magistar/magistra fizike)
Type of resourceText
File originBorn digital
Access conditionsAccess restricted to students and staff of home institution
Terms of useLicence In copyright icon
Created on2017-04-04 16:10:00