The delayed luminescence curves of biological tissues, in particular the "hyperbolic" oscillations of the form exp(-iln (1 + lambda t)) with t as the time and lambda as a constant, were subjects of further experimental and theoretical investigations. It turned out that the oscillations are solutions of a Hamiltonian that keeps coherent states coherent. In agreement to the expectations the oscillations disappear as soon as the biological system looses its integrity or its collective structure. The photocount statistics (PCS) confirms these results. The illumination itself influences the biological state under consideration. The temperature dependence displays small deviations from the Arrhenius-law with a mean activation energy of about 0.5 eV in case of plants. The results may be useful for investigating supermolecular interactions as well as for assessing the quality or quality changes of biological tissues.