Diffusional inhomogeneity in cell cultures

doi:10.1088/1674-1056/27/2/028705

Abstract Cell migrations in the cell cultures are found to follow non-Gaussian statistics. We recorded long-term cell migration patterns with more than six hundred cells located in 28 mm². Our experimental data support the claim that an individual cell migration follows Gaussian statistics. Because the cell culture is inhomogeneous, the statistics of the cell culture exhibit a non-Gaussian distribution. We find that the normalized histogram of the diffusion velocity follows an exponential tail. A simple model is proposed based on the diffusional inhomogeneity to explain the exponential distribution of locomotion activity in this work. Using numerical calculation, we prove that our model is in great agreement with the experimental data.

Keywords: random walks cell locomotion collective behavior

Received: 31 August 2017
Revised: 10 November 2017
Accepted manuscript online:

PACS:	87.17.Jj	(Cell locomotion, chemotaxis)
	05.40.Fb	(Random walks and Levy flights)
	87.18.Gh	(Cell-cell communication; collective behavior of motile cells)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11474054).

Corresponding Authors: Wei Chen
E-mail: phchenwei@fudan.edu.cn

About author: 87.17.Jj; 05.40.Fb; 87.18.Gh

Cite this article:

Jia-Zheng Zhang(张佳政), Na Li(李娜), Wei Chen(陈唯) Diffusional inhomogeneity in cell cultures 2018 Chin. Phys. B 27 028705

[1]	Berg H C and Purcell E M 1977 Biophys. J. 20 193
[2]	Czirok A, Schlett K, Madarasz E and Vicsek T 1998 Phys. Rev. Lett. 81 3038
[3]	Couzin I D and Krause J 2003 Adv. Study Behav. 32 1
[4]	Ni R, Puckett J G, DUfresne E R and Ouellette N T 2015 Phys. Rev. Lett. 115 118104
[5]	Nourhani A, Crespi V H and Lammert P E 2014 Phys. Rev. B 89 062304
[6]	Maree A F M and Hogeweg P 2014 Proc. Natl. Acad. Sci. USA 98 3879
[7]	Varnum B and Soll D R 2014 J. Cell Biol. 99 1151
[8]	He W, Song H, Su Y, Geng L, Ackerson B J, Peng H B and Tong P 2016 Nat. Commun. 7 11701
[9]	Li L, Norrelykke S F and Cox E C 2008 Plos One 3 e2093
[10]	Dieterich P, Klages R, Preuss R and Schwab A 2008 Proc. Natl. Acad. Sci. USA 105 459
[11]	Takagi H, Sato M J, Yanagida T and Ueda M 2008 Plos One 3 e2648
[12]	Shenderove A D and Sheetz M P 1997 Biolphys. J. 72 2382
[13]	Viswanathan G M, Afanasyev V, Buldyrev S V, Havlin S, da Luz M G E, Raposo E P and Stanley H E 1999 Nature 401 911
[14]	Viswanathan G M, Bartumeus F, Buldyrev S V, Catalan J,Fulco U L, Havlin S, da Luz M G E, Lyra M L, Raposo E P and Stanley H E 2002 Physica A 314 208
[15]	Reynolds A 2002 J. Plrev. 14 59
[16]	Chen S, Li N, Hsu S F, Zhang J Z, Lai P Y, Chan C K and Chen W 2014 Soft Matter 10 3421
[17]	Uhlenbeck G E and Ornstein L S 1930 Phys. Rev. 36 823

[1]	Nodes and layers PageRank centrality for multilayer networks Lai-Shui Lv(吕来水), Kun Zhang(张琨), Ting Zhang(张婷), Meng-Yue Ma(麻孟越). Chin. Phys. B, 2019, 28(2): 020501.
[2]	Asymmetric and symmetric meta-correlations in financial markets Xiaohui Li(李晓辉), Xiangying Shen(沈翔瀛), Jiping Huang(黄吉平). Chin. Phys. B, 2016, 25(10): 108903.
[3]	Rotational stretched exponential relaxation in random trap-barrier model Ekrem Aydıner. Chin. Phys. B, 2015, 24(7): 070501.
[4]	Exact scaling for the mean first-passage time of random walks on a generalized Koch network with a trap Zhang Jing-Yuan(张静远), Sun Wei-Gang(孙伟刚), and Chen Guan-Rong(陈关荣) . Chin. Phys. B, 2012, 21(3): 038901.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Diffusional inhomogeneity in cell cultures

Cite this article:

Online attention