Sökning: onr:"swepub:oai:gup.ub.gu.se/334892" >
Turing pattern form...
Turing pattern formation on the sphere is robust to the removal of a hole
-
- Borgqvist, Johannes, 1990 (författare)
- University Of Oxford,Wolfson Centre for Mathematical Biology, Mathematical Institute, University of Oxford, Andrew Wiles Building Radcliffe Observatory Quarter (550) Woodstock Road, Oxfordshire, Oxford, United Kingdom
-
- Gerlee, Philip, 1980 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg,Mathematical Sciences, University of Gothenburg, Chalmers tvärgata 3, Västra Götaland, Gothenburg, Sweden; Mathematical Sciences, Chalmers University of Technology, Chalmers tvärgata 3, Västra Götaland, Gothenburg, Sweden
-
- Lundholm, Carl, 1987 (författare)
- Umeå universitet,Institutionen för matematik och matematisk statistik
-
(creator_code:org_t)
- Springer Science+Business Media B.V. 2024
- 2024
- Engelska.
-
Ingår i: JOURNAL OF MATHEMATICAL BIOLOGY. - : Springer Science+Business Media B.V.. - 0303-6812 .- 1432-1416. ; 88:2
- Relaterad länk:
-
https://research.cha... (primary) (free)
-
visa fler...
-
https://doi.org/10.1...
-
https://umu.diva-por... (primary) (Raw object)
-
https://gup.ub.gu.se...
-
https://doi.org/10.1...
-
https://research.cha...
-
https://urn.kb.se/re...
-
visa färre...
Abstract
Ämnesord
Stäng
- The formation of buds on the cell membrane of budding yeast cells is thought to be driven by reactions and diffusion involving the protein Cdc42. These processes can be described by a coupled system of partial differential equations known as the Schnakenberg system. The Schnakenberg system is known to exhibit diffusion-driven pattern formation, thus providing a mechanism for bud formation. However, it is not known how the accumulation of bud scars on the cell membrane affect the ability of the Schnakenberg system to form patterns. We have approached this problem by modelling a bud scar on the cell membrane with a hole on the sphere. We have studied how the spectrum of the Laplace-Beltrami operator, which determines the resulting pattern, is affected by the size of the hole, and by numerically solving the Schnakenberg system on a sphere with a hole using the finite element method. Both theoretical predictions and numerical solutions show that pattern formation is robust to the introduction of a bud scar of considerable size, which lends credence to the hypothesis that bud formation is driven by diffusion-driven instability.
Ämnesord
- NATURVETENSKAP -- Biologi (hsv//swe)
- NATURAL SCIENCES -- Biological Sciences (hsv//eng)
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- Turing patterns
- RD-models
- Bud scars
- FEM
- RD-models
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
Hitta via bibliotek
Till lärosätets databas