Recent direct experimental data as well as sophisticated computer-enhanced mathematical analyses of pre-existing data has revealed the predominance of non-linear processes in biological systems. These new findings are a dramatic departure from traditional theories which indicate that biochemical reactions are at or near a state of equilibrium and that cells function in a linear, dispersive and degenerative manner. Electrochemical oscillations between membrane-bound lipids near phase-transition temperature have been reanalyzed with the aid of powerful computers and shown to be most accurately described by nonlinear quantum mechanical equations.