Titlebar

Export bibliographic data
Literature by the same author
plus on the publication server
plus at Google Scholar

 

Size matters for nonlinear (protein) wave patterns

Title data

Bergmann, Fabian ; Rapp, Lisa ; Zimmermann, Walter:
Size matters for nonlinear (protein) wave patterns.
In: New Journal of Physics. Vol. 20 (July 2018) . - No. 072001.
ISSN 1367-2630
DOI: https://doi.org/10.1088/1367-2630/aad457

Related URLs

Project information

Project title:
Project's official titleProject's id
Open Access PublizierenNo information

Abstract in another language

Pattern formation and selection are fundamental, omnipresent principles in nature—from small cellsup to geological scales. InE. colibacteria, for example, self-organized pole-to-pole oscillations of Minproteins—resembling a short standing wave—ensure correct positioning of the cell division site. Thesame biochemical reaction leads to traveling protein waves on extended membranes inin vitroexperiments. Are these seemingly contradictory observations of system-spanning importance? Weshow that a transition of nonlinear traveling wave patterns to reflection-induced standing waves inshort systems is a generic and robust phenomenon. It results from a competition between two basicphenomena in pattern formation theory. We confirm the genericfindings for the cell-biological Minreaction and for a chemical reaction–diffusion system. These standing waves show bistability andadapt to varying system lengths similar as pole-to-pole oscillations in growingE. coli.Our genericresults highlight key functions of universal principles for pattern formation in nature.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: pattern formation; biological physics; reaction–diffusion; nonlinear waves
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Theoretical Physics I
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Theoretical Physics I > Chair Theoretical Physics I - Univ.-Prof. Dr. Walter Zimmermann
Faculties
Result of work at the UBT: Yes
DDC Subjects: 500 Science
Date Deposited: 09 Mar 2019 22:00
Last Modified: 11 Mar 2019 07:41
URI: https://eref.uni-bayreuth.de/id/eprint/47904