A persistent random walk model for the frequency-dependent electrical conductivity

1993 ◽  
Vol 197 (1-2) ◽  
pp. 204-222 ◽  
Author(s):  
Donald J. Jacobs ◽  
Hisao Nakanishi
Keyword(s):  
Electrical Conductivity ◽  
Random Walk ◽  
Random Walk Model ◽  
Frequency Dependent ◽  
Persistent Random Walk

scholarly journals Zebrafish airinemes optimize their shape between ballistic and diffusive search

2021 ◽  
Author(s):  
Sohyeon Park ◽  
Hyunjoong Kim ◽  
Yi Wang ◽  
Dae Seok Eom ◽  
Jun Allard
Keyword(s):  
Random Walk ◽  
Target Cell ◽  
Live Cell ◽  
Random Walk Model ◽  
Directional Information ◽  
Trade Off ◽  
Persistent Random Walk ◽  
Live Cell Microscopy ◽  
And Performance ◽  
Cell Microscopy

In addition to diffusive signals, cells in tissue also communicate via long, thin cellular protrusions, such as airinemes in zebrafish. Before establishing communication, cellular protrusions must find their target cell. Here we demonstrate that the shape of airinemes in zebrafish are consistent with a finite persistent random walk model. The probability of contacting the target cell is maximized for a balance between ballistic search (straight) and diffusive search (highly curved, random). We find that the curvature of airinemes in zebrafish, extracted from live cell microscopy, is approximately the same value as the optimum in the simple persistent random walk model. We also explore the ability of the target cell to infer direction of the airineme's source, finding that there is a theoretical trade-off between search optimality and directional information. This provides a framework to characterize the shape, and performance objectives, of non-canonical cellular protrusions in general.

scholarly journals A continuous-time persistent random walk model for flocking

2018 ◽  
Vol 28 (7) ◽  
pp. 075507 ◽  
Author(s):  
Daniel Escaff ◽  
Raúl Toral ◽  
Christian Van den Broeck ◽  
Katja Lindenberg
Keyword(s):  
Random Walk ◽  
Continuous Time ◽  
Random Walk Model ◽  
Persistent Random Walk

scholarly journals Persistent random walk model for transport through thin slabs

1999 ◽  
Vol 59 (6) ◽  
pp. 6517-6526 ◽  
Author(s):  
Marián Boguñá ◽  
Josep M. Porrà ◽  
Jaume Masoliver
Keyword(s):  
Random Walk ◽  
Random Walk Model ◽  
Persistent Random Walk

A Multi-Label Classification Algorithm Based on Random Walk Model

2010 ◽  
Vol 33 (8) ◽  
pp. 1418-1426 ◽  
Author(s):  
Wei ZHENG ◽  
Chao-Kun WANG ◽  
Zhang LIU ◽  
Jian-Min WANG
Keyword(s):  
Random Walk ◽  
Classification Algorithm ◽  
Random Walk Model

Favorite sites of a persistent random walk

2021 ◽  
Vol 501 (2) ◽  
pp. 125180
Author(s):  
Arka Ghosh ◽  
Steven Noren ◽  
Alexander Roitershtein
Keyword(s):  
Random Walk ◽  
Persistent Random Walk
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