Dominant PC captures homogeneous scaling of maximal conductances. A) Scatter plot matrices of random sampling populations in the conductance spaces for the STG model (left) and the DA model (right) along with the direction of PC1, color coded based on the input resistance. The scatter plots shown are associated with the conductances having the largest entries (in absolute value) in the first PC. All conductances are expressed in mS/cm^2. The bottom left corner of each 2D subspace represents the origin of the conductance space. For the STG model, $g¯Na$ ranges up to 8,000, $g¯H$ to 0.7, $g¯KCa$ to 250 and $g¯CaS$ to 50. For the DA model, $gleak$ ranges up to 0.02, $g¯Kd$ to 20, $g¯CaN$ to 0.12 and $g¯ERG$ to 0.25. B) Simulations illustrating the effect of homogeneous scaling for the STG model (left) and the DA model (right). A random model from the scatter plot in (A) receives an inhibitory input. The same experiment is then conducted with all conductances multiplied by 2 and 10.