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A modified Peierls-Boltzmann transport equation formalism for phonons is applied to Fröhlich’s vibrational model. In this model a set of oscillators it nonlinearly coupled to the rest of the system, which can be taken as a heatbath. An external energy supply leads to an additional excitation of the modes. The Hamiltonian for the model is presented and the kinetic equations are derived. The steady state solutions show that under certain conditions the lowest mode be-comes strongly excited, when the phonon flux increases. The resulting excitation far above the thermal value corresponds to a preferred channeling of energy into a single mode (Bose condensation-like excitation). Correspondence with Fröhlich’s rate equation approach is established and the quasi phase transition-like behaviour is discussed

Boltzmann Equation Approach to Fröhlich’s Vibrational Model of Bose Condensation-Like Excitations of Coherent Modes in Biological Systems