On a simple case of possible non-deterministic chaotic behavior in compartment theory of biological observables

Abstract Discrete events dynamics considers that solutions of a given system evolve deterministically throughout most of phase space, but, in the presence of a disturbance, make non-deterministic jumps to other solutions when the trajectory passes near a singularity in the equations of motion. Using compartment theory, it is shown that the basic biological mechanism of control should follow such non-deterministic dynamics.