Patent ID: 11861475
Assignee: ARIZONA BOARD OF REGENTS ON BEHALF OF ARIZONA STATE UNIVERSITY
Field: Computer technology (Electrical engineering)
Classification: CPC G | IPC G

Claim 11:
12. The method of claim 11, wherein the mechanistic model is a Proliferation Invasion (PI) model of the form:, ∂
          c
        
        
          ∂
          t
        
      
      
        ︷
        
          
            Rate
            ⁢
            
              
            
            ⁢
            of
            ⁢
            
              
            
            ⁢
            Change
          
          ⁢
          
            

          
          ⁢
          
            of
            ⁢
            
              
            
            ⁢
            Cell
            ⁢
            
              
            
            ⁢
            Denisity
          
        
      
    
    =
    
      
        
          ∇
          
            ·
            
              (
              
                
                  D
                  ⁡
                  
                    (
                    x
                    )
                  
                
                ⁢
                
                  ∇
                  c
                
              
              )
            
          
        
        
          ︷
          
            
              Invasion
              ⁢
              
                
              
              ⁢
              of
              ⁢
              
                
              
              ⁢
              Cells
            
            ⁢
            
              

            
            ⁢
            
              into
              ⁢
              
                
              
              ⁢
              Nearby
              ⁢
              
                
              
              ⁢
              Tissue
            
          
        
      
      +
      
        
          ρ
          ⁢
          
            
          
          ⁢
          
            c
            ⁡
            
              (
              
                1
                -
                
                  c
                  K
                
              
              )
            
          
        
        
          ︷
          
            Proliferation
            ⁢
            
              

            
            ⁢
            
              of
              ⁢
              
                
              
              ⁢
              cells
            
          
        
      
    
  
  ;

wherein c(x,t) is a tumor cell density, D(x) is a net rate of diffusion, ρ is a net rate of proliferation, and K is a cell carrying capacity.