کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4496616 1623901 2012 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Physarum can compute shortest paths
موضوعات مرتبط
علوم زیستی و بیوفناوری علوم کشاورزی و بیولوژیک علوم کشاورزی و بیولوژیک (عمومی)
پیش نمایش صفحه اول مقاله
Physarum can compute shortest paths
چکیده انگلیسی

Physarum polycephalum is a slime mold that is apparently able to solve shortest path problems. A mathematical model has been proposed by Tero et al. (Journal of Theoretical Biology, 244, 2007, pp. 553–564) to describe the feedback mechanism used by the slime mold to adapt its tubular channels while foraging two food sources s0 and s1. We prove that, under this model, the mass of the mold will eventually converge to the shortest s0–s1s0–s1 path of the network that the mold lies on, independently of the structure of the network or of the initial mass distribution.This matches the experimental observations by Tero et al. and can be seen as an example of a “natural algorithm”, that is, an algorithm developed by evolution over millions of years.


► A standard model for Physarum converges to the shortest path in any network.
► When flow directions stabilize, convergence to the shortest path is fast.
► Flow directions stabilize in series–parallel networks and Wheatstone networks.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Theoretical Biology - Volume 309, 21 September 2012, Pages 121–133
نویسندگان
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