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master's thesis
Dinamički modeli filotaksije
Zagreb: University of Zagreb, Faculty of Science, 2016. urn:nbn:hr:217:347808
Madžar, Ivor
University of Zagreb
Faculty of Science
Department of Physics

Institutional repository: Repository of the Faculty of Science

Cite this document

Madžar, I. (2016). Dinamički modeli filotaksije (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:347808

Madžar, Ivor. "Dinamički modeli filotaksije." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:347808

Madžar, Ivor. "Dinamički modeli filotaksije." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:347808

Madžar, I. (2016). 'Dinamički modeli filotaksije', Master's thesis, University of Zagreb, Faculty of Science, accessed 12 September 2024, https://urn.nsk.hr/urn:nbn:hr:217:347808

Madžar I. Dinamički modeli filotaksije [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2016 [cited 2024 September 12] Available at: https://urn.nsk.hr/urn:nbn:hr:217:347808

I. Madžar, "Dinamički modeli filotaksije", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2016. Available at: https://urn.nsk.hr/urn:nbn:hr:217:347808

Metadata
TitleDinamički modeli filotaksije
Title (english)Dynamical models of phyllotaxis
AuthorIvor Madžar
MentorMatko Glunčić (mentor)
Committee memberMatko Glunčić (predsjednik povjerenstva)
Committee memberGorjana Jerbić-Zorc (član povjerenstva)
Committee memberMario Novak (član povjerenstva)
Committee memberDamir Veža (član povjerenstva)
Committee memberMaja Planinić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Physics)
Zagreb
Defense date and country2016-09-30, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract
Filotaksični uzorci javljaju se kod vaskularnih biljaka kada biljka na rastućem vrhu stvara niz sličnih botaničkih elemenata, kao što su listovi, sjemenke, latice ili ljuske. Najčešći ovakav uzorak je onaj u kojem su elementi organizirani u dvije obitelji spirala koje se rotiraju u suprotnim smjerovima. Broj spirala u svakoj od ovih ovitelji su uzastopni brojevi Fibonaccijeva niza u kojem je svaki član suma prethodna dva. U ovom istraživanju razviti ću teorijski dinamički model koji uključuje vremensku evoluciju filotaksičnog uzorka. Pomoću modela pokušati ću odgovoriti na sljedeća fundamentalna pitanja: Zašto je između svih mogućih regularnih spiralnih uzoraka, Fibonaccijeva spirala favorizirana? Koji su ostali uzorci teorijski mogući, te koji su mehanizmi tranzicije između različitih uzoraka?
Abstract (english)
Phyllotaxic patters are generated whenever a vascular plant on its apex produces similar botanical elements like leaves, seeds, florets or shells. The most common pattern is the one in which the elements are organized in two spiral families which rotate in opposite directions. Number of spirals in each of those two families are successive numbers of Fibonacci series in which each number is the sum of the two previous ones. In this research I will develop a theoretical dynamical model which includes time evolution of a phyllotactic pattern. With this model I will try to answer these fundamental questions: Why is, among the all possible general spiral patterns, the one by Fibonacci most favorited? Which patterns are also theoreticaly possible, and what kind of mechanisms of transition are possible among the different patterns?
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:347808
Study programmeTitle: Physics and Computer Science; specializations in: Education
Course: Education
Study programme type: university
Study level: integrated undergraduate and graduate
Academic / professional title: magistar/magistra fizike i informatike (magistar/magistra fizike i informatike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2017-03-04 16:32:15