Biológiai ritmusok matematikai modelljeiről

Abstract

The science of biological rhythms is receiving increasing attention in the fields of healthcare, workplace performance, space research, sports, and nutrition. The circadian rhythm, the foundation of living organisms' in­ternal clocks, plays a central role in the treatment of sleep disorders, the de­velopment of chronic diseases such as heart disease and diabetes, and the op­timization of drug administration. In plants, the circadian rhythm influences photosynthesis, nutrient uptake, and flowering, contributing to the efficiency of agricultural production and disease management. Genetic research, par­ticularly using models like Arabidopsis thaliana and Neurospora crassa, has uncovered the molecular foundations of the internal clock. Mathematical models, such as the Goodwin and Tyson models, along with Michaelis-Menten kinetics, describe the mechanisms of circadian rhythms quantitatively, aiding in the prediction of growth, develop­ment, and diseases. Stochastic modeling allows for the consideration of biological noise and randomness, further refining rhythm predictions under various environmental conditions.