Biophysical interpretation of membrane fluidity by catastrophe theory

We have regrouped the data of two examples where membrane fluidity was progressively modified by pharmacological and physiological agents. In our approach, each initial condition is determined by control parameters (depth of the membrane bilayer explored, concentration of agents). The fluidity is expressed as a state parameters followed on the control space. Then, according to Catastrophe Theory, the results are depicted as tridimensional patterns which can be recognized as bifurcation sets. Consequently, the fluidity is considered as resulting in a compromise phenomenon (normal factor) between two structurally attracting configurations (of hydrophilic and hydrophobic nature). The concepts of membrane activity and membrane function are then discussed on the basis of physiological functionality of biomembranes. The main application of this research interests the pharmacological domain. Indeed, a new classification of drugs could be proposed. According to the loss of membrane functionality, some drugs could imply a too high differentiation of attractors (splitting factor) and others could imply the destruction of the compromise. The first type is characterized by the physical destruction of the membrane. In the second type, the entity of the bilayer is preserved but the membrane is destructurated.