Synchronization of non-linear biochemical oscillators coupled by diffusion

✍ Scribed by V. Torre

• Book ID: 104740948
• Publisher: Springer-Verlag
• Year: 1975
• Tongue: English
• Weight: 556 KB
• Volume: 17
• Category: Article
• ISSN: 0340-1200
• DOI: 10.1007/bf00364162

✦ Synopsis

The behaviour of similar coupled non-linear oscillators of the type 2 = f(x, y, #) ~v = 9(x, y, #) is to be investigated. The oscillators are assumed to be coupled by diffusion gradients. If some conditions on the magnitude of the diffusion coefficients are satisfied, it is proved that: 1) if the oscillators have the same period (identical value of the parameter #) and different phases before coupling, after coupling they tend to synchronize the phases; 2) if the periods of the oscillators are not too different (in terms of the values of the parameter #) before coupling, after coupling they tend to oscillate with the same period. It is suggested the possible role of diffusion as a synchronizing mechanism in some biological phenomena.