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==Situational behavior==
==Situational behavior==
''Physarum polycephalum'' has been shown to exhibit intelligent characteristics similar to those seen in single-celled creatures and [[eusocial]] insects. For example, a team of Japanese and Hungarian researchers have shown ''P. polycephalum'' can solve the [[Shortest path problem]]. When grown in a maze with oatmeal at two spots, ''P. polycephalum'' retracts from everywhere in the maze, except the shortest route connecting the two food sources.<ref name="NYT00">{{cite journal|first1=Toshiyuki|last1=Nakagaki|first2=Hiroyasu|last2=Yamada|first3=Ágota|last3=Tóth|year=2000|title=Intelligence: Maze-solving by an amoeboid organism | journal=Nature | volume=407 | pages=470|doi=10.1038/35035159|pmid=11028990|issue=6803}}</ref> When presented with more than two food sources, ''P. polycephalum'' apparently solves a more complicated [[transportation problem]]. With more than two sources, the amoeba also produces efficient networks.<ref name="NKNU04">{{cite journal|first1=Toshiyuki|last1=Nakagaki|first2=Ryo|last2=Kobayashi|first3=Yasumasa|last3=Nishiura|first4=Tetsuo|last4=Ueda|title=Obtaining multiple separate food sources:&nbsp;behavioural intelligence in ''Physarum'' plasmodium|journal=[[Proceedings of the Royal Society B]]|volume=271|issue=1554|date=November 2004|pages=2305&ndash;2310|doi=10.1098/rspb.2004.2856}}</ref> In a 2010 paper, oatflakes were dispersed to represent [[Tokyo]] and 36 surrounding towns.<ref name="TTSIBFYKN10">{{cite journal|first1=Atsushi|last1=Tero|first2=Seiji|last2=Takagi|first3=Tetsu|last3=Saigusa|first4=Kentaro|last4=Ito|first5=Dan P.|last5=Bebber|first6=Mark D.|last6=Fricker|first7=Kenji|last7=Yumiki|first8=Ryo|last8=Kobayashi|first9=Toshiyuki|last9=Nakagaki|date=January 2010|title=Rules for Biologically Inspired Adaptive Network Design|journal=Science| volume=327|issue=5964|pages=439&ndash;442|doi=10.1126/science.1177894|pmid=20093467}}</ref><ref name="Moseman2010">{{cite web
''Physarum polycephalum'' has been shown to exhibit intelligent characteristics similar to those seen in single-celled creatures and [[eusocial]] insects.

===Maze-solving===

A team of Japanese and Hungarian researchers claims that a specimen of ''P. polycephalum'' was able to navigate a maze made of [[agar]] using the shortest route possible when two pieces of food were placed at two separate exits of the maze.<ref name="NYT00">{{cite journal|first1=Toshiyuki|last1=Nakagaki|first2=Hiroyasu|last2=Yamada|first3=Ágota|last3=Tóth|year=2000|title=Intelligence: Maze-solving by an amoeboid organism | journal=Nature | volume=407 | pages=470|doi=10.1038/35035159|pmid=11028990|issue=6803}}</ref>

===Event anticipation===

By repeatedly making the test environment of a specimen of ''P.&nbsp;polycephalum'' cold and dry for 60-minute intervals, [[Hokkaido University]] biophysicists discovered that the slime mould appears to anticipate the pattern by reacting to the conditions when they did not repeat the conditions for the next interval. Upon repeating the conditions, it would react to expect the 60-minute intervals, as well as testing with 30- and 90-minute intervals.<ref name="STNK08">{{cite journal|first1=Tetsu|last1=Saigusa|first2=Atsushi|last2=Tero|first3=Toshiyuki|last3=Nakagaki|first4=Yoshiki|last4=Kuramoto|year=2008|title=Amoebae Anticipate Periodic Events| journal=Physical Review Letters | volume=100|issue=1|pages=018101|doi=10.1103/PhysRevLett.100.018101|pmid=18232821}}</ref><ref name="Barone2009">{{cite web
| first = Jennifer
| last = Barone
| title = Top 100 Stories of 2008 #71: Slime Molds Show Surprising Degree of Intelligence
| publisher = Discover Magazine
| date = 2008-12-09
| url = http://discovermagazine.com/2009/jan/071
| accessdate = 2011-06-22 }}</ref>

===Nutrient regulation===

''P.&nbsp;polycephalum'' have also been shown to dynamically re-allocate to apparently maintain constant levels of different nutrients simultaneously.<ref name="DLBS10">{{cite journal|first1=Audrey|last1=Dussutour|first2=Tanya|last2=Latty|first3=Madeleine|last3=Beekman|first4=Stephen J.|last4=Simpson|year=2010|title=Amoeboid organism solves complex nutritional challenges|journal=PNAS| volume=107|issue=10|pages=4607&ndash;4611|doi=10.1073/pnas.0912198107}}</ref><ref name="Bonner10">{{cite journal|first1=John Tyler|last1=Bonner|year=2010|title=Brainless behavior:&nbsp;A myxomycete chooses a balanced diet|journal=PNAS|volume=107|issue=12|pages=5267&ndash;5268|doi=10.1073/pnas.1000861107}}</ref> In particular, specimen placed at the center of a [[petri dish]] spatially re-allocated over combinations of food sources that each had different [[protein]]&ndash;[[carbohydrate]] ratios. After 60 hours, the slime mould area over each food source was measured. For each specimen, the results were consistent with the hypothesis that the amoeba would balance total protein and carbohydrate intake to reach particular levels that were invariant to the actual ratios presented to the slime mould.

=== Simulation of road networks ===

With more than two sources, the amoeba also produces efficient networks.<ref name="NKNU04">{{cite journal|first1=Toshiyuki|last1=Nakagaki|first2=Ryo|last2=Kobayashi|first3=Yasumasa|last3=Nishiura|first4=Tetsuo|last4=Ueda|title=Obtaining multiple separate food sources:&nbsp;behavioural intelligence in ''Physarum'' plasmodium|journal=[[Proceedings of the Royal Society B]]|volume=271|issue=1554|date=November 2004|pages=2305&ndash;2310|doi=10.1098/rspb.2004.2856}}</ref> In particular, the pattern connecting multiple food sources was shown to form efficient network structures like [[cycle (graph theory)|cycles]] and [[Steiner minimum tree]]s.<ref name="Caleffi2015">{{
cite journal
|last = Caleffi
|first = Marcello
|coauthors = Akyildiz, Ian F.; Paura, Luigi
|date = 2015
|title = On the Solution of the Steiner Tree NP-Hard Problem via Physarum BioNetwork
|url = http://dx.doi.org/10.1109/TNET.2014.2317911
|journal = IEEE/ACM Transactions on Networking
|volume = PP
|issue = 99
|pages = 1
|doi = 10.1109/TNET.2014.2317911
|accessdate = 2015-01-29
}}</ref>

In a 2010 paper, oatflakes were dispersed to represent [[Tokyo]] and 36 surrounding towns.<ref name="TTSIBFYKN10">{{cite journal|first1=Atsushi|last1=Tero|first2=Seiji|last2=Takagi|first3=Tetsu|last3=Saigusa|first4=Kentaro|last4=Ito|first5=Dan P.|last5=Bebber|first6=Mark D.|last6=Fricker|first7=Kenji|last7=Yumiki|first8=Ryo|last8=Kobayashi|first9=Toshiyuki|last9=Nakagaki|date=January 2010|title=Rules for Biologically Inspired Adaptive Network Design|journal=Science| volume=327|issue=5964|pages=439&ndash;442|doi=10.1126/science.1177894|pmid=20093467}}</ref><ref name="Moseman2010">{{cite web
| first = Andrew
| first = Andrew
| last = Moseman
| last = Moseman
Line 102: Line 63:
issue=1|date=July 2011|
issue=1|date=July 2011|
pages=89&ndash;100|
pages=89&ndash;100|
doi=10.1016/j.biosystems.2011.03.007}}</ref>
doi=10.1016/j.biosystems.2011.03.007}}</ref> Some researchers claim that ''P. polycephalum'' is even able to solve the [[NP-hard]] [[Steiner minimum tree]] problem.<ref name="Caleffi2015">{{
cite journal
|last = Caleffi
|first = Marcello
|coauthors = Akyildiz, Ian F.; Paura, Luigi
|date = 2015
|title = On the Solution of the Steiner Tree NP-Hard Problem via Physarum BioNetwork
|url = http://dx.doi.org/10.1109/TNET.2014.2317911
|journal = IEEE/ACM Transactions on Networking
|volume = PP
|issue = 99
|pages = 1
|doi = 10.1109/TNET.2014.2317911
|accessdate = 2015-01-29
}}</ref>


''P. polycephalum'' can not only solve these computational problems, but also exhibits some form of memory. By repeatedly making the test environment of a specimen of ''P.&nbsp;polycephalum'' cold and dry for 60-minute intervals, [[Hokkaido University]] biophysicists discovered that the slime mould appears to anticipate the pattern by reacting to the conditions when they did not repeat the conditions for the next interval. Upon repeating the conditions, it would react to expect the 60-minute intervals, as well as testing with 30- and 90-minute intervals.<ref name="STNK08">{{cite journal|first1=Tetsu|last1=Saigusa|first2=Atsushi|last2=Tero|first3=Toshiyuki|last3=Nakagaki|first4=Yoshiki|last4=Kuramoto|year=2008|title=Amoebae Anticipate Periodic Events| journal=Physical Review Letters | volume=100|issue=1|pages=018101|doi=10.1103/PhysRevLett.100.018101|pmid=18232821}}</ref><ref name="Barone2009">{{cite web
===Integration with electronics===
| first = Jennifer
| last = Barone
| title = Top 100 Stories of 2008 #71: Slime Molds Show Surprising Degree of Intelligence
| publisher = Discover Magazine
| date = 2008-12-09
| url = http://discovermagazine.com/2009/jan/071
| accessdate = 2011-06-22 }}</ref>


''P.&nbsp;polycephalum'' have also been shown to dynamically re-allocate to apparently maintain constant levels of different nutrients simultaneously.<ref name="DLBS10">{{cite journal|first1=Audrey|last1=Dussutour|first2=Tanya|last2=Latty|first3=Madeleine|last3=Beekman|first4=Stephen J.|last4=Simpson|year=2010|title=Amoeboid organism solves complex nutritional challenges|journal=PNAS| volume=107|issue=10|pages=4607&ndash;4611|doi=10.1073/pnas.0912198107}}</ref><ref name="Bonner10">{{cite journal|first1=John Tyler|last1=Bonner|year=2010|title=Brainless behavior:&nbsp;A myxomycete chooses a balanced diet|journal=PNAS|volume=107|issue=12|pages=5267&ndash;5268|doi=10.1073/pnas.1000861107}}</ref> In particular, specimen placed at the center of a [[petri dish]] spatially re-allocated over combinations of food sources that each had different [[protein]]&ndash;[[carbohydrate]] ratios. After 60 hours, the slime mould area over each food source was measured. For each specimen, the results were consistent with the hypothesis that the amoeba would balance total protein and carbohydrate intake to reach particular levels that were invariant to the actual ratios presented to the slime mould.
The organism's reaction to its environment has also been used in a USB sensor<ref name="Night07">{{cite web
| first = Will
| last = Night
| title = Bio-sensor puts slime mould at its heart
| publisher = NewScientist
| date = 2007-05-17
| url = http://www.newscientist.com/article/dn11875-biosensor-puts-slime-mould-at-its-heart.html
| accessdate = 2011-06-22 }}</ref> and to control a robot.<ref name="Night06">{{cite web
| first = Will
| last = Night
| title = Robot moved by a slime mould's fears
| publisher = NewScientist
| date = 2006-02-13
| url = http://www.newscientist.com/article/dn8718-robot-moved-by-a-slime-moulds-fears.html
| accessdate = 2011-06-22 }}</ref>


As the slime mould does not have any nervous system that could explain these intelligent behaviours, there has been considerable interdisciplinary interest in understanding the rules that govern its behaviour. Scientists are trying to model the slime mold using a number of simple, distributed rules. For example, P. polycephalum has be modeled as a set of differential equations inspired by electrical networks. This model can be shown to be able to compute shortest paths.<ref>{{cite journal|last1=Becchetti|first1=Luca|last2=Bonifaci|first2=Vincenzo|last3=Dirnberger|first3=Michael|last4=Karrenbauer|first4=Andreas|last5=Mehlhorn|first5=Kurt|title=Physarum Can Compute Shortest Paths: Convergence Proofs and Complexity Bounds.|journal=ICALP|date=2013|pages=472-483|doi=10.1007/978-3-642-39212-2_42}}</ref> A very similar model can be shown to solve the Steiner tree problem. <ref name="Caleffi2015"/> However, currently these models do not make sense biologically, as they for example assume energy conservation inside the slime mould. Living organisms consume food, so energy can not be conserved. To build more realistic models, more data about the slime mould's network construction needs to be gathered. To this end, researchers are analysing the network structure of lab-grown ''P. polycephalum''.<ref>{{cite journal|last1=Dirnberger|first1=Michael|last2=Neumann|first2=Adrian|last3=Kehl|first3=Tim|title=NEFI: Network Extraction From Images|journal=ArXiv|date=18.02.2015|url=http://arxiv.org/abs/1502.05241}}</ref>
===Computing===


In a book<ref name="Adamatzky2010book">
''P. polycephalum'' has also been proposed to model logic gates, enabling the construction of biological computers. In a book<ref name="Adamatzky2010book">
{{cite book
{{cite book
| first = Andrew
| first = Andrew
Line 145: Line 113:
| eprint = 0908.0850
| eprint = 0908.0850
| class = nlin.PS
| class = nlin.PS
}}</ref> it has been claimed that because plasmodia appear to react in a consistent way to stimuli, they are the "ideal substrate for future and emerging [[Biologically-inspired computing|bio-computing devices]]".<ref name="Adamatzky2008"/> For example,
}}</ref> it has been claimed that because plasmodia appear to react in a consistent way to stimuli, they are the "ideal substrate for future and emerging [[Biologically-inspired computing|bio-computing devices]]".<ref name="Adamatzky2008"/> An outline has been presented showing how it may be possible to precisely point, steer and cleave plasmodium using light and food sources.<ref name="Adamatzky2008"/> Moreover, it has been reported that plasmodia can be made to form [[logic gate]]s.<ref name="Adamatzky2010"/> In particular, plasmodia placed at entrances to special geometrically shaped mazes would emerge at exits of the maze that were consistent with [[truth table]]s for certain primitive logic connectives. However, as these construction are based on theoretical models of the slime mould, in practice these results do not scale to allow for actual computation. When the primitive logic gates are connected to form more complex functions, the plasmodium ceased to produce results consistent with the expected truth tables.
* It has been reported that plasmodia can be made to form [[logic gate]]s.<ref name="Adamatzky2010"/> In particular, plasmodia placed at entrances to special geometrically shaped mazes would emerge at exits of the maze that were consistent with [[truth table]]s for certain primitive logic connectives. However, in the [[preprint]], when these primitive gates were connected to form higher logic functions, the plasmodium ceased to produce results consistent with the expected truth tables. Consequently, the composed gates were validated instead using a simulation speculated to model the streaming processes within a plasmodium.
* An outline has been presented showing how it may be possible to precisely point, steer and cleave plasmodium using light and food sources.<ref name="Adamatzky2008"/>


Even though complex computations using Physarum as a substrate are currently not possible, researchers have successfully used the organism's reaction to its environment in a USB sensor<ref name="Night07">{{cite web
Physarum has been proposed as candidate for the BioNetwork paradigm, i.e., a communication network paradigm in which the traditional network nodes are replaced by living organisms, by proving that a Physarum BioNetwork can solve the Steiner tree problem with an exponential convergence rate toward the optimal solution.<ref name="Caleffi2015"/>
| first = Will
| last = Night
| title = Bio-sensor puts slime mould at its heart
| publisher = NewScientist
| date = 2007-05-17
| url = http://www.newscientist.com/article/dn11875-biosensor-puts-slime-mould-at-its-heart.html
| accessdate = 2011-06-22 }}</ref>
and to control a robot.<ref name="Night06">{{cite web
| first = Will
| last = Night
| title = Robot moved by a slime mould's fears
| publisher = NewScientist
| date = 2006-02-13
| url = http://www.newscientist.com/article/dn8718-robot-moved-by-a-slime-moulds-fears.html
| accessdate = 2011-06-22 }}</ref>


==References==
==References==

Revision as of 11:34, 19 February 2015

Physarum polycephalum
Scientific classification
Kingdom:
Phylum:
Class:
Order:
Family:
Genus:
Species:
P. polycephalum
Binomial name
Physarum polycephalum

Physarum polycephalum, literally the “many-headed slime”, is a slime mold that inhabits shady, cool, moist areas, such as decaying leaves and logs. Like slime molds in general, it is sensitive to light; in particular, light can repel the slime mold and be a factor in triggering spore growth.

Characteristics

This protist may be seen without a microscope; P. polycephalum is typically yellow in color, and eats fungal spores, bacteria, and other microbes. P. polycephalum is one of the easiest eukaryotic microbes to grow in culture, and has been used as a model organism for many studies involving amoeboid movement and cell motility.[citation needed]

Life cycle

The main vegetative phase of P. polycephalum is the plasmodium (the active, streaming form of slime molds). The plasmodium consists of networks of protoplasmic veins, and many nuclei. It is during this stage that the organism searches for food. The plasmodium surrounds its food and secretes enzymes to digest it.

If environmental conditions cause the plasmodium to desiccate during feeding or migration, Physarum will form a sclerotium. The sclerotium is basically hardened multinucleated tissue that serves as a dormant stage, protecting Physarum for long periods of time. Once favorable conditions resume, the plasmodium reappears to continue its quest for food.

As the food supply runs out, the plasmodium stops feeding and begins its reproductive phase. Stalks of sporangia form from the plasmodium; it is within these structures that meiosis occurs and spores are formed. Sporangia are usually formed in the open so that the spores they release will be spread by wind currents.

Spores can remain dormant for years if need be. However, when environmental conditions are favorable for growth, the spores germinate and release either flagellated or amoeboid swarm cells (motile stage); the swarm cells then fuse together to form a new plasmodium.

Streaming behavior

The movement of P. polycephalum is termed shuttle streaming. Shuttle streaming is characterized by the rhythmic back-and-forth flow of the protoplasm; the time interval is approximately two minutes. The forces of the streaming vary for each type of microplasmodium.

The force in amoeboid microplasmodia is generated by contraction and relaxation of a membranous layer probably consisting of actin (type of filament associated with contraction). The filament layer creates a pressure gradient, over which the protoplasm flows within limits of the cell periphery.

The force behind streaming in the dumbbell-shaped microplasmodia is generated by volume changes in both the periphery of the cell and in the invagination system of the cell membrane.

Situational behavior

Physarum polycephalum has been shown to exhibit intelligent characteristics similar to those seen in single-celled creatures and eusocial insects. For example, a team of Japanese and Hungarian researchers have shown P. polycephalum can solve the Shortest path problem. When grown in a maze with oatmeal at two spots, P. polycephalum retracts from everywhere in the maze, except the shortest route connecting the two food sources.[1] When presented with more than two food sources, P. polycephalum apparently solves a more complicated transportation problem. With more than two sources, the amoeba also produces efficient networks.[2] In a 2010 paper, oatflakes were dispersed to represent Tokyo and 36 surrounding towns.[3][4] P. polycephalum created a network similar to the existing train system, and "with comparable efficiency, fault tolerance, and cost". Similar results have been shown based on road networks in the United Kingdom[5] and the Iberian peninsula (i.e., Spain and Portugal).[6] Some researchers claim that P. polycephalum is even able to solve the NP-hard Steiner minimum tree problem.[7]

P. polycephalum can not only solve these computational problems, but also exhibits some form of memory. By repeatedly making the test environment of a specimen of P. polycephalum cold and dry for 60-minute intervals, Hokkaido University biophysicists discovered that the slime mould appears to anticipate the pattern by reacting to the conditions when they did not repeat the conditions for the next interval. Upon repeating the conditions, it would react to expect the 60-minute intervals, as well as testing with 30- and 90-minute intervals.[8][9]

P. polycephalum have also been shown to dynamically re-allocate to apparently maintain constant levels of different nutrients simultaneously.[10][11] In particular, specimen placed at the center of a petri dish spatially re-allocated over combinations of food sources that each had different proteincarbohydrate ratios. After 60 hours, the slime mould area over each food source was measured. For each specimen, the results were consistent with the hypothesis that the amoeba would balance total protein and carbohydrate intake to reach particular levels that were invariant to the actual ratios presented to the slime mould.

As the slime mould does not have any nervous system that could explain these intelligent behaviours, there has been considerable interdisciplinary interest in understanding the rules that govern its behaviour. Scientists are trying to model the slime mold using a number of simple, distributed rules. For example, P. polycephalum has be modeled as a set of differential equations inspired by electrical networks. This model can be shown to be able to compute shortest paths.[12] A very similar model can be shown to solve the Steiner tree problem. [7] However, currently these models do not make sense biologically, as they for example assume energy conservation inside the slime mould. Living organisms consume food, so energy can not be conserved. To build more realistic models, more data about the slime mould's network construction needs to be gathered. To this end, researchers are analysing the network structure of lab-grown P. polycephalum.[13]

P. polycephalum has also been proposed to model logic gates, enabling the construction of biological computers. In a book[14] and several preprints that have not been scientifically peer reviewed,[15][16] it has been claimed that because plasmodia appear to react in a consistent way to stimuli, they are the "ideal substrate for future and emerging bio-computing devices".[16] An outline has been presented showing how it may be possible to precisely point, steer and cleave plasmodium using light and food sources.[16] Moreover, it has been reported that plasmodia can be made to form logic gates.[15] In particular, plasmodia placed at entrances to special geometrically shaped mazes would emerge at exits of the maze that were consistent with truth tables for certain primitive logic connectives. However, as these construction are based on theoretical models of the slime mould, in practice these results do not scale to allow for actual computation. When the primitive logic gates are connected to form more complex functions, the plasmodium ceased to produce results consistent with the expected truth tables.

Even though complex computations using Physarum as a substrate are currently not possible, researchers have successfully used the organism's reaction to its environment in a USB sensor[17] and to control a robot.[18]

References

Specific
  1. ^ Nakagaki, Toshiyuki; Yamada, Hiroyasu; Tóth, Ágota (2000). "Intelligence: Maze-solving by an amoeboid organism". Nature. 407 (6803): 470. doi:10.1038/35035159. PMID 11028990.
  2. ^ Nakagaki, Toshiyuki; Kobayashi, Ryo; Nishiura, Yasumasa; Ueda, Tetsuo (November 2004). "Obtaining multiple separate food sources: behavioural intelligence in Physarum plasmodium". Proceedings of the Royal Society B. 271 (1554): 2305–2310. doi:10.1098/rspb.2004.2856.
  3. ^ Tero, Atsushi; Takagi, Seiji; Saigusa, Tetsu; Ito, Kentaro; Bebber, Dan P.; Fricker, Mark D.; Yumiki, Kenji; Kobayashi, Ryo; Nakagaki, Toshiyuki (January 2010). "Rules for Biologically Inspired Adaptive Network Design". Science. 327 (5964): 439–442. doi:10.1126/science.1177894. PMID 20093467.
  4. ^ Moseman, Andrew (2010-01-22). "Brainless Slime Mold Builds a Replica Tokyo Subway". Discover Magazine. Retrieved 2011-06-22.
  5. ^ Adamatzky, Andrew; Jones, Jeff (2010). "Road planning with slime mould: If Physarum built motorways it would route M6/M74 through Newcastle". International Journal of Bifurcation and Chaos. 20 (10): 3065–3084. doi:10.1142/S0218127410027568.
  6. ^ Adamatzky, Andrew; Alonso-Sanz, Ramon (July 2011). "Rebuilding Iberian motorways with slime mould". Biosystems. 5 (1): 89–100. doi:10.1016/j.biosystems.2011.03.007.
  7. ^ a b Caleffi, Marcello (2015). "On the Solution of the Steiner Tree NP-Hard Problem via Physarum BioNetwork". IEEE/ACM Transactions on Networking. PP (99): 1. doi:10.1109/TNET.2014.2317911. Retrieved 2015-01-29. {{cite journal}}: Unknown parameter |coauthors= ignored (|author= suggested) (help)
  8. ^ Saigusa, Tetsu; Tero, Atsushi; Nakagaki, Toshiyuki; Kuramoto, Yoshiki (2008). "Amoebae Anticipate Periodic Events". Physical Review Letters. 100 (1): 018101. doi:10.1103/PhysRevLett.100.018101. PMID 18232821.
  9. ^ Barone, Jennifer (2008-12-09). "Top 100 Stories of 2008 #71: Slime Molds Show Surprising Degree of Intelligence". Discover Magazine. Retrieved 2011-06-22.
  10. ^ Dussutour, Audrey; Latty, Tanya; Beekman, Madeleine; Simpson, Stephen J. (2010). "Amoeboid organism solves complex nutritional challenges". PNAS. 107 (10): 4607–4611. doi:10.1073/pnas.0912198107.
  11. ^ Bonner, John Tyler (2010). "Brainless behavior: A myxomycete chooses a balanced diet". PNAS. 107 (12): 5267–5268. doi:10.1073/pnas.1000861107.
  12. ^ Becchetti, Luca; Bonifaci, Vincenzo; Dirnberger, Michael; Karrenbauer, Andreas; Mehlhorn, Kurt (2013). "Physarum Can Compute Shortest Paths: Convergence Proofs and Complexity Bounds". ICALP: 472–483. doi:10.1007/978-3-642-39212-2_42.
  13. ^ Dirnberger, Michael; Neumann, Adrian; Kehl, Tim (18.02.2015). "NEFI: Network Extraction From Images". ArXiv. {{cite journal}}: Check date values in: |date= (help)
  14. ^ Adamatzky, Andrew (2010). Physarum Machines: Computers from Slime Mould. World Scientific Series on Nonlinear Science, Series A. Vol. 74. World Scientific. ISBN 978-981-4327-58-9. Retrieved 2010-10-31.
  15. ^ a b Andrew, Adamatzky (2010). "Slime mould logical gates: exploring ballistic approach". Applications, Tools and Techniques on the Road to Exascale Computing (IOS Press, ), pp. 2012: 41–56. arXiv:1005.2301. {{cite journal}}: line feed character in |journal= at position 59 (help)
  16. ^ a b c Adamatzky, Andrew (2008-08-06). "Steering plasmodium with light: Dynamical programming of Physarum machine". arXiv:0908.0850 [nlin.PS].
  17. ^ Night, Will (2007-05-17). "Bio-sensor puts slime mould at its heart". NewScientist. Retrieved 2011-06-22.
  18. ^ Night, Will (2006-02-13). "Robot moved by a slime mould's fears". NewScientist. Retrieved 2011-06-22.
General

External links