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In order to further lower the hardware cost and circuit complexity of the chip, we apply the absorption law and H-tree logic combination techniques [4] to simplify the circuit complexity of the MRF noise-tolerant latch circuit.
The output promoter is only turned on when a specific logic combination of input promoters is active.
The device can be used to improve the selectivity of biochemical sensors such that they will then only generate a valid readout under the specific logic combination of the two chosen sensing chemicals.
For example, a DNA and restriction enzyme-based in vitro diagnostic automaton detected multiple biochemical disease indicators where the final positive state only forms under a predesigned logic combination of the inputs.
Similarly, the device can be used to increase the selectivity of biochemical sensors to only produce a significant readout under the specific logic combination of the three target sensing chemicals.
For all possible triplets of genes, we calculated the value U as the degree to which some logic combination of two vectors, A & B, describes a third vector C. We also computed P-values which estimate the significance of the uncertainty coefficients (U) compared to those of random triplets.
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As chemical patterns denote descriptions of chemical features, the concept of structure diagrams is extended with graphical elements to depict property descriptions and logic combinations of chemical features.
Formally, GUHA logic formulas are of the form (phi approx psi ), where (phi ) and (psi ) are logic combinations of variables of the data (corresponding to the columns of the data matrix) and (approx ) is a generalized quantifier.
(4) The new algorithm allows that reactions may depend on arbitrary logic combinations of the presence or absence of components allowing to represent complex regulatory dependencies.
The characterisation result shows that the device only produced an observable output when NaAsO2 (16 μM) is present and HgCl2 (4 μM) is absent among the four possible logic combinations of the two chemical inputs (Fig. 3).
Fig. 4B shows the sensor responses under eight logic combinations of the three input signals (8 μM NaAsO2, 2 μM HgCl2 and 0.33 mM CuSO4) by inoculating the same number of cells of each strain in one pool.
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