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Noncomplementary Version  

Next is our noncomplementary version of the machine, which is the same except that the rewriting oligos are:

        5'- 1 2   -3'
        5'-   2 1 -3'
Below is a simulation of this version, under identical conditions. We see that in this machine, progress is only made on alternate steps, since we only include oligos that bind to positive templates. Also, notice that on step 5, the perfectly-matched oligo happened to bind before the imperfect one, illustrating how these competitive-binding situtations can further slow the rate of progress. However, this particular line of descendants does eventually reach the final state, after 7 cycles.
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sim restrict3.olig -T 30 -t 600 -n
Parameters: file = restrict3.olig, T = 303.15, c = 1e-07, t = 600,
            p = 0, s = 796558321
 
Command: ?
 
   [!prim1    ][!1        ][!0        ][!0        ][!0        ][prim2     ]
3'-GGCGCCCGCCGCACTGAGCTCTTGACTCAGCTGTTGACTCAGCTGTTGACTCAGCTGTTGGGCGGCCCGCGG-5'
 
   ::::::::::::    DG0 = -22.8233
5'-CCGCGGGCGGCG-3' k = 2.90848e+16
   [prim1     ]    p = 1.000000
 
               ::::::::::::::::X::X::::    DG0 = -14.1205
            5'-TGACTCGAGAACTGAGCCGGCAAC-3' k = 1.53405e+10
               [1         ][2         ]    p = 0.999349
 
Below .01 probability of binding:
 
                           :::X::::X:::::::X::X::::    DG0 = -0.280819
                        5'-TGACTCGAGAACTGAGCCGGCAAC-3' k = 1.5943
                           [1         ][2         ]    p = 0.000000
 
 
Command: 
 
Cycle = 1, time = 10:00, temp =  30.00.
[prim1     ][1         ][2         ]                                    
CCGCGGGCGGCGTGACTCGAGAACTGAGCCGGCAAC                                    
::::::::::::::::::::::::::::X::X::::                                    
GGCGCCCGCCGCACTGAGCTCTTGACTCAGCTGTTGACTCAGCTGTTGACTCAGCTGTTGGGCGGCCCGCGG
[!prim1    ][!1        ][!0        ][!0        ][!0        ][prim2     ]
 
Command: ?
 
   [!prim2    ][0         ][0         ][2         ][1         ][prim1     ]
3'-CCGCGGGCCGCCCAACAGCTGAGTCAACAGCTGAGTCAACGGCCGAGTCAAGAGCTCAGTGCGGCGGGCGCC-5'
 
   ::::::::::::    DG0 = -22.0749
5'-GGCGCCCGGCGG-3' k = 8.3905e+15
   [prim2     ]    p = 1.000000
 
Below .01 probability of binding:
 
                                              DG0 = 10.241     X::XX::X::::   
                                           k = 4.09856e-08  5'-GGCGCCCGGCGG-3'
                                              p = 0.000000     [prim2     ] 
 
 
Command: 
 
Cycle = 2, time = 10:00, temp =  30.00.
[prim2     ]                                                            
GGCGCCCGGCGG                                                            
::::::::::::                                                            
CCGCGGGCCGCCCAACAGCTGAGTCAACAGCTGAGTCAACGGCCGAGTCAAGAGCTCAGTGCGGCGGGCGCC
[!prim2    ][0         ][0         ][2         ][1         ][prim1     ]
 
Command: ?
 
   [!prim1    ][!1        ][!2        ][!0        ][!0        ][prim2     ]
3'-GGCGCCCGCCGCACTGAGCTCTTGACTCGGCCGTTGACTCAGCTGTTGACTCAGCTGTTGGGCGGCCCGCGG-5'
 
               ::::::::::::::::::::::::    DG0 = -30.916
            5'-TGACTCGAGAACTGAGCCGGCAAC-3' k = 2.00134e+22
               [1         ][2         ]    p = 1.000000
 
   ::::::::::::    DG0 = -22.8233
5'-CCGCGGGCGGCG-3' k = 2.90848e+16
   [prim1     ]    p = 1.000000
 
                           :::::::::::::::X::::X:::    DG0 = -17.0763
                        5'-TGAGCCGGCAACTGACTCGAGAAC-3' k = 2.07994e+12
                           [2         ][1         ]    p = 0.999995
 
Below .01 probability of binding:
 
                                       :::X::::X:::::::X::X::::    DG0 = -0.280
                                    5'-TGACTCGAGAACTGAGCCGGCAAC-3' k = 1.5943
                                       [1         ][2         ]    p = 0.000000
 
 
Command: 
 
Cycle = 3, time = 10:00, temp =  30.00.
[prim1     ]            [2         ][1         ]                        
CCGCGGGCGGCG            TGAGCCGGCAACTGACTCGAGAAC                        
::::::::::::            :::::::::::::::X::::X:::                        
GGCGCCCGCCGCACTGAGCTCTTGACTCGGCCGTTGACTCAGCTGTTGACTCAGCTGTTGGGCGGCCCGCGG
[!prim1    ][!1        ][!2        ][!0        ][!0        ][prim2     ]
 
Command: 
 
Cycle = 4, time = 10:00, temp =  30.00.
[prim2     ]                                                            
GGCGCCCGGCGG                                                            
::::::::::::                                                            
CCGCGGGCCGCCCAACAGCTGAGTCAAGAGCTCAGTCAACGGCCGAGTCAAGAGCTCAGTGCGGCGGGCGCC
[!prim2    ][0         ][1         ][2         ][1         ][prim1     ]
 
Command: 
 
Cycle = 5, time = 10:00, temp =  30.00.
[prim1     ]            [2         ][1         ]                        
CCGCGGGCGGCG            TGAGCCGGCAACTGACTCGAGAAC                        
::::::::::::            ::::::::::::::::::::::::                        
GGCGCCCGCCGCACTGAGCTCTTGACTCGGCCGTTGACTGAGCTCTTGACTCAGCTGTTGGGCGGCCCGCGG
[!prim1    ][!1        ][!2        ][!1        ][!0        ][prim2     ]
 
Command: 
 
Cycle = 6, time = 10:00, temp =  30.00.
[prim2     ]                                                            
GGCGCCCGGCGG                                                            
::::::::::::                                                            
CCGCGGGCCGCCCAACAGCTGAGTCAAGAGCTCAGTCAACGGCCGAGTCAAGAGCTCAGTGCGGCGGGCGCC
[!prim2    ][0         ][1         ][2         ][1         ][prim1     ]
 
Command: 
 
Cycle = 7, time = 10:00, temp =  30.00.
[prim1     ][1         ][2         ][1         ][2         ]            
CCGCGGGCGGCGTGACTCGAGAACTGAGCCGGCAACTGACTCGAGAACTGAGCCGGCAAC            
::::::::::::::::::::::::::::::::::::::::::::::::::::X::X::::            
GGCGCCCGCCGCACTGAGCTCTTGACTCGGCCGTTGACTGAGCTCTTGACTCAGCTGTTGGGCGGCCCGCGG
[!prim1    ][!1        ][!2        ][!1        ][!0        ][prim2     ]
 
----------------------------------------------------------------------

- Michael P. Frank, September 12, 1995. Formatted using HyperLaTeX-1.3.

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