Neurochemical oscillation

Kirk IP, Richardson PJ (1994) Adenosine A2a receptor-mediated modulation of striatal [3H]GABA and [3H]acetylcholine release. J Neurochem 62 960-6 Koch H, von Ktigelgen I, Starke K (1997) P2-receptor-mediated inhibition of noradrenaline release in the rat hippocampus. Naunyn-Schmiedeberg s Arch Pharmacol 355 707-15 Koch H, von Ktigelgen I, Starke K (1998) P2-receptor-mediated inhibition of noradrenaline release in the rat pancreas. Naunyn-Schmiedeberg s Arch Pharmacol 357 431 10 Koizumi S, Inoue K (1997) Inhibition by ATP of calcium oscillations in rat cultured hippocampal neurones. Br J Pharmacol 122 51-8... 

The examples to be presented illustrate the diversity of fields of applications, but they are mentioned in outline form only. Many biological phenomena used to be modelled by real or formal kinetic models. A biochemical control theory that is partially based on non-mass-action-type enzyme kinetics seems to be under elaboration, and certain aspects will be illustrated. A few specific models of fluctuation and oscillation phenomena in neurochemical systems will be presented. The formal structure of population dynamics is quite similar to that of chemical kinetics, and models referring to different hierarchical levels from elementary genetics to ecology are well-known examples. Polymerisation, cluster formation and recombination kinetics from the physical literature will be mentioned briefly. Another question to be discussed is how electric-circuit-like elements can be constructed in terms of chemical kinetics. Finally, kinetic theories of selection will be mentioned. 

Adopting the neurochemical assumption according to which the choline uptake (not exclusively, however) controls the process, an independent choline oscillation is assumed. Therefore the kinetic equation is ... 

In addition to the direct utility of mathematical models in the analysis of complex chemical systems a unified conceptual framework is offered to the mathematical treatment of problems of chemical kinetics and related areas in biomathematics. Biochemical control processes, oscillation and fluctuation phenomena in neurochemical systems, coexistence and extinction in populations, prebiological evolution and certain ecological problems of Lake j Balaton can be treated in terms of this framework. Though the main body of/ the book deals with spatially homogeneous systems, spatial structures in chemical systems, pattern formation and morphogenesis related to reaction-diffusion models are also mentioned briefly. 

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