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Cellular Automaton Fluids 1: Basic Theory

by Stephen Wolfram - J. Stat. Phys
"... Continuum equations are derived for the large-scale behavior of a class of cellular automaton models for fluids. The cellular automata are discrete analogues of molecular dynamics, in which particles with discrete velocities populate the links of a fixed array of sites. Kinetic equations for microsc ..."
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Continuum equations are derived for the large-scale behavior of a class of cellular automaton models for fluids. The cellular automata are discrete analogues of molecular dynamics, in which particles with discrete velocities populate the links of a fixed array of sites. Kinetic equations

1 CELLULAR AUTOMATON MODEL OF REACTION-TRANSPORT PROCESSES

by T. Karapiperis, B. Blankleider , 1993
"... The transport and chemical reactions of solutes are modelled as a cellular automaton in which molecules of different species perform a random walk on a regular lattice and react according to a local probabilistic rule. The model describes advection and diffusion in a simple way, and as no restrictio ..."
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The transport and chemical reactions of solutes are modelled as a cellular automaton in which molecules of different species perform a random walk on a regular lattice and react according to a local probabilistic rule. The model describes advection and diffusion in a simple way

Algorithmic self-assembly of DNA Sierpinski triangles

by Paul W. K. Rothemund, Nick Papadakis, Erik Winfree - PLoS Biology
"... Algorithms and information, fundamental to technological and biological organization, are also an essential aspect of many elementary physical phenomena, such as molecular self-assembly. Here we report the molecular realization, using two-dimensional self-assembly of DNA tiles, of a cellular automat ..."
Abstract - Cited by 153 (13 self) - Add to MetaCart
Algorithms and information, fundamental to technological and biological organization, are also an essential aspect of many elementary physical phenomena, such as molecular self-assembly. Here we report the molecular realization, using two-dimensional self-assembly of DNA tiles, of a cellular

Toward Reliable Algorithmic Self-Assembly of DNA Tiles: A Fixed-Width Cellular Automaton Pattern NANO LETTERS

by Kenichi Fujibayashi, Rizal Hariadi, Sung Ha Park, Erik Winfree, Satoshi Murata , 2007
"... Bottom-up fabrication of nanoscale structures relies on chemical processes to direct self-assembly. The complexity, precision, and yield achievable by a one-pot reaction are limited by our ability to encode assembly instructions into the molecules themselves. Nucleic acids provide a platform for inv ..."
Abstract - Cited by 35 (2 self) - Add to MetaCart
for investigating these issues, as molecular structure and intramolecular interactions can encode growth rules. Here, we use DNA tiles and DNA origami to grow crystals containing a cellular automaton pattern. In a one-pot annealing reaction, 250 DNA strands first assemble into a set of 10 free tile types and a seed

Cellular Automaton As A Fast Tool For Animation Of Liquid In Multi-Object Scenes

by Rafal Wcislo, Jacek Kitowski, Jacek Moscinski - in Multi-Object Scenes, 6th International Conference in Central Europe on Computer Graphics and Visualization (WSCG '98 , 1998
"... The paper presents the usage of a cellular automaton (CA) in three-dimensional computer animations. The main goal is to achieve a fast, realistic motion of a set of bodies. In order to full the demand of \reality" we try to employ the simulation methods based on physical laws. However, in scene ..."
Abstract - Cited by 3 (1 self) - Add to MetaCart
The paper presents the usage of a cellular automaton (CA) in three-dimensional computer animations. The main goal is to achieve a fast, realistic motion of a set of bodies. In order to full the demand of \reality" we try to employ the simulation methods based on physical laws. However

Exploring Constraint: Simulating Self-Organization and Autogenesis in the Autogenic Automaton

by Stefan Leijnen, Tom Heskes, Terrence W. Deacon
"... Abstract Origin of life theories often argue that molecular self-organization explains the spontaneous emergence of structural and dynamical constraints. How-ever, the preservation of these constraints over time is not well-explained because of the self-undermining and self-limiting nature of these ..."
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Abstract Origin of life theories often argue that molecular self-organization explains the spontaneous emergence of structural and dynamical constraints. How-ever, the preservation of these constraints over time is not well-explained because of the self-undermining and self-limiting nature

A Highly Parallel Finite State Automaton Processor for Biological Pattern Matching

by Glen Herrmannsfeldt
"... Abstract. Finite State Automata are useful for string searching problems mostly because they are fast. For very large problems, a software implemen-tation will not be fast enough. I describe here a parallel implementation of a hardware Deterministic Finite State Automaton processor. It can rapidly s ..."
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Abstract. Finite State Automata are useful for string searching problems mostly because they are fast. For very large problems, a software implemen-tation will not be fast enough. I describe here a parallel implementation of a hardware Deterministic Finite State Automaton processor. It can rapidly

Autonomous Molecular Cascades for Evaluation of Cell Surfaces

by Maria Rudchenko, Steven Taylor, Payal Pallavi, Alesia Dechkovskaia, Safana Khan, Vincent P. Butler, Sergei Rudchenko, Milan N. Stojanovic
"... Molecular automata are mixtures of molecules that undergo precisely defined structural changes in response to sequential interactions with inputs1–4. Previously studied nucleic acid-based-automata include game-playing molecular devices (MAYA automata3,5) and finite-state automata for analysis of nuc ..."
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of nucleic acids6 with the latter inspiring circuits for the analysis of RNA species inside cells7,8. Here, we describe automata based on strand-displacement9,10 cascades directed by antibodies that can analyze cells by using their surface markers as inputs. The final output of a molecular automaton

Molecular functions

by Trinucleotide Stability
"... rinu pa mo ence ase circ (FPTF) to identify three permuted trinucleotide sets in the three frames of genes, a flower automaton algorithm to determine if a trinucleotide set is a circular code or not, and an integrated Gene Ontology e anal d appli ne set r and e last onin, 2003). A specialized DEG da ..."
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rinu pa mo ence ase circ (FPTF) to identify three permuted trinucleotide sets in the three frames of genes, a flower automaton algorithm to determine if a trinucleotide set is a circular code or not, and an integrated Gene Ontology e anal d appli ne set r and e last onin, 2003). A specialized DEG

unknown title

by Y. Tian, Y. He, Y. Chen, P. Yin, C. Mao, Angew Chem, P. Yin, H. M. T. Choi, C. R. Calvert, N. A. Pierce, S. J. Green, J. Bath, A. J. Turberfield, Phys Rev Lett
"... by track consumption. Hence, if given the choice between two directions, these walkers can go either way. In our system, directionality is a consequence of the asymmetry of the design, which is a key component of functional Brownian motors (4, 5). Through track stem-loop consumption, our mechanism a ..."
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allows the walker to hybridize the fuel hairpins onto the track sequentially and dy-namically according to the presence of a code on the track. Such a capability in a molecular autom-aton is reminiscent of the ribosome and DNA or RNA polymerase (26). Indeed, the leg-holding sequences are uncoupled from
Results 1 - 10 of 42