Treffer: Mathematical modeling and computer simulation of the three-dimensional pattern formation of honeycombs.

Title:
Mathematical modeling and computer simulation of the three-dimensional pattern formation of honeycombs.
Authors:
Jeong D; Department of Mathematics, Kangwon National University, Gangwon-do, 24341, Republic of Korea., Li Y; School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, 710049, China., Kim S; Department of Mathematics, Korea University, Seoul, 02841, Republic of Korea., Choi Y; Department of Mathematics and Big Data, Daegu University, Gyeongsan-si, Gyeongsangbuk-do, 38453, Republic of Korea., Lee C; Department of Mathematics, Korea University, Seoul, 02841, Republic of Korea., Kim J; Department of Mathematics, Korea University, Seoul, 02841, Republic of Korea. cfdkim@korea.ac.kr.
Source:
Scientific reports [Sci Rep] 2019 Dec 30; Vol. 9 (1), pp. 20364. Date of Electronic Publication: 2019 Dec 30.
Publication Type:
Journal Article; Research Support, Non-U.S. Gov't
Language:
English
Journal Info:
Publisher: Nature Publishing Group Country of Publication: England NLM ID: 101563288 Publication Model: Electronic Cited Medium: Internet ISSN: 2045-2322 (Electronic) Linking ISSN: 20452322 NLM ISO Abbreviation: Sci Rep Subsets: MEDLINE
Imprint Name(s):
Original Publication: London : Nature Publishing Group, copyright 2011-
MeSH Terms:
Models, Structural* , Models, Theoretical*, Algorithms ; Computer Simulation
References:
J R Soc Interface. 2013 Jul 17;10(86):20130299. (PMID: 23864500)
Sci Rep. 2018 Jan 17;8(1):1011. (PMID: 29343709)
Sci Rep. 2019 Sep 4;9(1):12753. (PMID: 31484963)
Entry Date(s):
Date Created: 20200101 Date Completed: 20201111 Latest Revision: 20210110
Update Code:
20250114
PubMed Central ID:
PMC6937337
DOI:
10.1038/s41598-019-56942-6
PMID:
31889154
Database:
MEDLINE

Weitere Informationen

We present a mathematical model, a numerical scheme, and computer simulations of the three-dimensional pattern formation of a honeycomb structure by using the immersed boundary method. In our model, we assume that initially the honeycomb cells have a hollow hemisphere mounted by a hollow circular cylinder shape at their birth and there is force acting upon the entire side of the cell. The net force from the individual cells is a key factor in their transformation from a hollow hemisphere mounted by a hollow circular cylinder shape to a rounded rhombohedral surfaces mounted by a hexagonal cylinder shape. Numerical simulations of the proposed mathematical model equation produce the rounded rhombohedral surfaces mounted by a hexagonal cylinder patterns observed in honeybee colonies.