Model for self-replicating, self-assembling electric circuits with self-controlled growth
Tile self-assembly models have proved to be important theoretical tools for studying nanoscale manufacturing techniques, and have provided insight into the computational capabilities of systems inspired by molecular biology. A tile assembly model (rcTAM), whose tiles are composed of simple electric...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2020-07-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.033165 |
| _version_ | 1797211361125597184 |
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| author | Rojoba Yasmin Max Garzon Russell Deaton |
| author_facet | Rojoba Yasmin Max Garzon Russell Deaton |
| author_sort | Rojoba Yasmin |
| collection | DOAJ |
| description | Tile self-assembly models have proved to be important theoretical tools for studying nanoscale manufacturing techniques, and have provided insight into the computational capabilities of systems inspired by molecular biology. A tile assembly model (rcTAM), whose tiles are composed of simple electric circuit components, exhibits three important properties akin to those found in living organisms. First, it grows from a seed tile by self-assembly of component tiles. Second, it autonomously stops growth when a maximum size is reached, as determined by parameters associated with the tiles. Third, when the circuit assembly has reached the limit of its growth, it generates an identical copy of the original seed, which then will grow to replicate a copy itself. The size of the assembled circuit is controlled by values of the circuit components (voltage sources, resistors), and a threshold voltage for tile attachment. Since every new tile attachment instantly changes the circuit properties, such as voltage drops and currents across resistors, as well as equivalent resistances, the model exhibits instantaneous distant communication and cooperation between components, as well as dynamic behavior. Proofs are given for a bound on growth, the self-replicating property, and possible aging phenomena that produce a stable circuit population. The model might have application to electrochemical growth processes at the nanoscale, and provides insight into self-replicating systems that are not necessarily composed of organic materials. In addition, it models certain features of bioelectric networks that contribute to pattern formation in collections of cells. |
| first_indexed | 2024-04-24T10:25:16Z |
| format | Article |
| id | doaj.art-c933ac440a9340f08f43794df9525d84 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:25:16Z |
| publishDate | 2020-07-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-c933ac440a9340f08f43794df9525d842024-04-12T16:57:58ZengAmerican Physical SocietyPhysical Review Research2643-15642020-07-012303316510.1103/PhysRevResearch.2.033165Model for self-replicating, self-assembling electric circuits with self-controlled growthRojoba YasminMax GarzonRussell DeatonTile self-assembly models have proved to be important theoretical tools for studying nanoscale manufacturing techniques, and have provided insight into the computational capabilities of systems inspired by molecular biology. A tile assembly model (rcTAM), whose tiles are composed of simple electric circuit components, exhibits three important properties akin to those found in living organisms. First, it grows from a seed tile by self-assembly of component tiles. Second, it autonomously stops growth when a maximum size is reached, as determined by parameters associated with the tiles. Third, when the circuit assembly has reached the limit of its growth, it generates an identical copy of the original seed, which then will grow to replicate a copy itself. The size of the assembled circuit is controlled by values of the circuit components (voltage sources, resistors), and a threshold voltage for tile attachment. Since every new tile attachment instantly changes the circuit properties, such as voltage drops and currents across resistors, as well as equivalent resistances, the model exhibits instantaneous distant communication and cooperation between components, as well as dynamic behavior. Proofs are given for a bound on growth, the self-replicating property, and possible aging phenomena that produce a stable circuit population. The model might have application to electrochemical growth processes at the nanoscale, and provides insight into self-replicating systems that are not necessarily composed of organic materials. In addition, it models certain features of bioelectric networks that contribute to pattern formation in collections of cells.http://doi.org/10.1103/PhysRevResearch.2.033165 |
| spellingShingle | Rojoba Yasmin Max Garzon Russell Deaton Model for self-replicating, self-assembling electric circuits with self-controlled growth Physical Review Research |
| title | Model for self-replicating, self-assembling electric circuits with self-controlled growth |
| title_full | Model for self-replicating, self-assembling electric circuits with self-controlled growth |
| title_fullStr | Model for self-replicating, self-assembling electric circuits with self-controlled growth |
| title_full_unstemmed | Model for self-replicating, self-assembling electric circuits with self-controlled growth |
| title_short | Model for self-replicating, self-assembling electric circuits with self-controlled growth |
| title_sort | model for self replicating self assembling electric circuits with self controlled growth |
| url | http://doi.org/10.1103/PhysRevResearch.2.033165 |
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