S
        
        =
        
          S
        
        (
        
          E
        
        ,
        
          
            
              
                E
              
              ˙
            
          
        
        )
        
        →
        
        
          S
        
        =
        
          S
        
        (
        
          E
        
        )
      
    
    {\displaystyle \mathbf {S} =\mathbf {S} (\mathbf {E} ,{\dot {\mathbf {E} }})\quad \rightarrow \quad \mathbf {S} =\mathbf {S} (\mathbf {E} )}
  Despite the independence of strain rate, preconditioned soft tissues still present hysteresis, so the mechanical response can be modeled as hyperelastic with different material constants at loading and unloading.
This constitutive model cannot be stretched in uni-axial tension beyond a maximal stretch 
  
    
      
        
          J
          
            m
          
        
      
    
    {\displaystyle J_{m}}
  , which is the positive root of

  
    
      
        
          λ
          
            m
          
          
            2
          
        
        +
        2
        
          λ
          
            m
          
        
        −
        
          J
          
            m
          
        
        −
        3
        =
        1
      
    
    {\displaystyle \lambda _{m}^{2}+2\lambda _{m}-J_{m}-3=1}

Remodeling and growth
Soft tissues have the potential to grow and remodel reacting to chemical and mechanical long term changes.