Abstract
The authors propose a tile assembly model (rcTAM) to study self-assembly, self-controlled growth, and self-replication. The paper shows how self-replication can be achieved without biological mechanisms or organic chemistry.
Highlights
Understanding the origin of living systems requires answers to fundamental scientific questions [1,2,3], such as how they employ the mechanism of self-assembled, self-controlled growth to self-replicate themselves
We propose a replicating circuit tile assembly model that combines self-assembly and selfreplication in a nonbiological system, where the self-assembly of ladder circuits from resistive circuit tiles is controlled by a voltage source whose consumption during growth controls
We have proposed the replicating circuit tile assembly model (rcTAM) model of self-assembly consisting of basic circuit components with a self-controlled growth mechanism
Summary
Understanding the origin of living systems requires answers to fundamental scientific questions [1,2,3], such as how they employ the mechanism of self-assembled, self-controlled growth to self-replicate themselves. The cTAM in [17,19,20,21] consisted of resistive circuits and voltage sources, and only achieved self-assembled and self-controlled growth It is augmented with diodes and dependent voltage sources to achieve self-replication. A replicating circuit tile assembly system (rcTAM) is a tuple C = ( , S, τ, ν, ζ ), where is a finite set of rcTiles, S ⊂ is a set of seed rcTiles, τ ∈ R+ is the threshold voltage that sets one of the criteria for further attachment, and ν ∈ R+ is the electric node potential in the circuit. The polarity of the voltage across this open circuit is opposite to that required for attachment to tile C at nodes {3, 4} It has one pair of output nodes {1, 2} across the resistor R, and one pair of input nodes {3, 2} across the diode D6. V(C3,4) determines whether replication will occur or not
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