Patent ID: 11915794
Assignee: CHAKRABARTI ADVANCED TECHNOLOGY LLC
Field: Computer technology (Electrical engineering)
Classification: CPC G  C | IPC C  G

Claim 3:
4. The system of claim 1, wherein the relaxation time is expressed as τ=−1/λmax 
wherein λmax denotes the largest eigenvalue of an annealing reaction matrix wherein an annealing reaction matrix for a two-base sequence is of the form:, A
  =
  
    [
    
      
        
          
            -
            
              (
              
                
                  k
                  
                    -
                    1
                  
                
                +
                
                  k
                  
                    -
                    1
                  
                
              
              )
            
          
        
        
          
            k
            1
          
        
        
          
            k
            1
          
        
        
          0
        
      
      
        
          
            k
            
              -
              1
            
          
        
        
          
            -
            
              (
              
                
                  k
                  
                    -
                    2
                  
                
                +
                
                  k
                  1
                
              
              )
            
          
        
        
          0
        
        
          
            
              σ
              ⁡
              
                [
                
                  D
                  
                    0
                    ,
                    
                      2
                      ⁢
                      eq
                    
                  
                
                ]
              
            
            ⁢
            
              k
              1
            
          
        
      
      
        
          
            k
            
              -
              1
            
          
        
        
          0
        
        
          
            -
            
              (
              
                
                  k
                  2
                
                +
                
                  k
                  1
                
              
              )
            
          
        
        
          
            
              σ
              ⁡
              
                [
                
                  D
                  
                    0
                    ,
                    
                      2
                      ⁢
                      eq
                    
                  
                
                ]
              
            
            ⁢
            
              k
              1
            
          
        
      
      
        
          0
        
        
          
            k
            
              -
              2
            
          
        
        
          
            k
            
              -
              2
            
          
        
        
          
            
              -
              2
            
            ⁢
            
              σ
              ⁡
              
                [
                
                  D
                  
                    0
                    ,
                    
                      2
                      ⁢
                      eq
                    
                  
                
                ]
              
            
            ⁢
            
              k
              1
            
          
        
      
    
    ]
  

where:
[D0,2 eq] denotes the equilibrium concentration of fully dissociated DNA,
k1=k2=k1=k2 which equal the forward rate constant for formation of a single base pair,
k−i is the reverse rate constant for the formation of the single base pair i bases from the DNA molecule's left side wherein k−i=k1/si where si is the equilibrium constant for formation of the base pair (respectively for k−1 and the base pair i bases from the DNA molecule's right side),
and σ is a nucleation parameter that measures resistance to formation of the first base pair.