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Legend Sg = Signal, Implementation of Binary Gene Expression in a Single Cell System -An extension based on Stephen’s Non-binary model with modifications Tr = Triger, -The dotted box represents one repeating unit of the binary series B = Bit recording gene -Initially, everything is inactive -B1 is Bit recording gene 1 instead of Bacteria 1, since we are using a single cell system B1 On0 Tr0 Sg0 Off On1 Tr1 SG1 Legend Pic 1 Sg = Signal, Tr = Triger, -First pulse of Sigal0 comes in B = Bit recording gene -Activates On0, On1, Tr0, B1 -Tr1 can’t do anything yet, same idea as Stephen’s Prime 2 and On2 operation. Sg0 B1 B1 On0 Tr0 Sg0 Off On1 Tr1 SG1 Legend Pic 2 Sg = Signal, Tr = Triger, -After a little while, On0, On1 degrade B = Bit recording gene -Tr0 remains B1 ON Sg0 B1 B1 On0 Tr0 Sg0 Off On1 Tr1 SG1 Legend Pic 3 Sg = Signal, Tr = Triger, -Second pulse of Sg0 comes in B = Bit recording gene -Turns on Tr1 this time. Although ON0* and TR1* inhibits and induces the Off gene at the same time, the inducer overrides the effect of inhibitor via forming inducer-inhibitor complexes Sg0 B1 B1 -Off is active -B1 and Tr0 turned off On0 -The signal of B1 going from ON to OFF is sent to next repeating unit by SG1 Tr0 Sg0 Off On1 Tr1 SG1 Legend Pic 4 Sg = Signal, Tr = Triger, -Only Off gene is active, keeping B1 OFF until next Sg0 arrives B = Bit recording gene Sg0 B1 B1 On0 Tr0 Sg0 Off On1 Tr1 SG1 Legend Pic 5 Sg = Signal, Tr = Triger, -Third Sg0 inpulse comes B = Bit recording gene -Off is inhibited by ON0* -But there is no TR1* activation, we get back to the same state as the picture 1 Sg0 B1 B1 On0 Tr0 Sg0 Off On1 Tr1 SG1 Legend Sg = Signal, B2 works the same as B1 Tr = Triger, -Remember in Pic 3, SG1 is passed onto the next unit B = Bit recording gene -Pulse diagram on left shows what has happened up to Pic 3. Sg0 B2 B1 SG1 B2 On0’ Tr0’ -Off course the set of genes of On0’, On1’, etc need to be a different set of genes, however, in a Multi-Cell system, these genes can be the SAME because bacteria cell wall keeps these gene products internally so that they won’t be mixed up, only the Signaling gene need to be different. Thus different bacteria types can have almost identical genes. This could be a plausible property of a Multi Cell system. SG1 Off’ On1’ Tr1’ SG2 Legend Sg0 Sg = Signal, B1 Tr = Triger, B2 -After another two cycles of Sg0, B2 will do what B1 does in Pic 3, i.e. outputing SG2 to B3, and things continue on.. B = Bit recording gene B2 On0’ -By looking at the pulse diagram, B1 finishes one cycle with 2 Sg0 pulses, B2 undergoes one cycle with 4 Sg0 pulses, B3 will complete a cycle with 8 pulses … so the clock will be going in a binary logarithmic fashion Tr0’ SG1 Off’ On1’ Tr1’ SG2