title: Classical analysis of time behavior of radiation fields associated with biophoton signals.
abstract: BACKGROUND
  Propagation of photon signals in biological systems, such as neurons, accompanies the production of biophotons. The role of biophotons in a cell deserves special attention because it can be applied to diverse optical systems.
  
  
  OBJECTIVE
  This work has been aimed to investigate the time behavior of biophoton signals emitted from living systems in detail, by introducing a Hamiltonian that describes the process. The ratio of the energy loss during signal dissipation will also be investigated.
  
  
  METHODS
  To see the adiabatic properties of the biophoton signal, we introduced an adiabatic invariant of the system according to the method of its basic formulation.
  
  
  RESULTS
  The energy of the released biophoton dissipates over time in a somewhat intricate way when t is small. However, after a sufficient long time, it dissipates in proportion (1+λ_0t)^2 to where λ_0 is a constant that is relevant to the degree of dissipation. We have confirmed that the energy of the biophoton signal oscillates in a particular way while it dissipates.
  
  
  CONCLUSIONS
  This research clarifies the characteristics of radiation fields associated with biophotons on the basis of Hamiltonian dynamics which describes phenomenological aspects of biophotons signals.
authors.affiliation: Department of Radiologic Technology, Daegu Health College, Daegu, Korea.
authors.forename: Jeong Ryeol
authors.initials: JR
authors.lastname: Choi
authors.affiliation: National Institute for Mathematical Sciences, Yuseong-daero 1689-gil, Yuseong-gu, Daejeon, Korea.
authors.forename: Daeyeoul
authors.initials: D
authors.lastname: Kim
authors.affiliation: Laboratory of Optoelectronics and Compounds, Departement of Physics, Faculty of Science, University of Ferhat Abbas Setif, Setif, Algeria.
authors.forename: Salah
authors.initials: S
authors.lastname: Menouar
authors.affiliation: Department of Physics, Middle East Technical University, Ankara, Turkey.
authors.forename: Ramazan
authors.initials: R
authors.lastname: Sever
authors.affiliation: Mathematics Department, College of Science, King Saud University, Riyadh, Saudi Arabia.
authors.forename: M Sebawe
authors.initials: MS
authors.lastname: Abdalla
mesh_terms: D000465:Algorithms; D001921:Brain / Q000502:physiology; D002450:Cell Communication / Q000502:physiology*; D006801:Humans; D017785:Photons; D013997:Time Factors
keywords: Biophoton; biological system; damped harmonic oscillator; energy dissipation; hamiltonian