This review provides a comparative overview of recent developments in the modelling of
cellular calcium oscillations. A large variety of mathematical models have been developed …

Entrainment is a phenomenon in which two oscillators interact with each other, typically
through physical or chemical means, to synchronize their oscillations. This phenomenon …

Ca2+ is one of the most important messengers. It transmits signals inside living cells and
takes part in intercellular coordination. The dynamics of the Ca2+ concentration shows a …

We present a new model for calcium oscillations based on experiments in hepatocytes. The
model considers feedback inhibition on the initial agonist receptor complex by calcium and …

Intracellular calcium oscillations, which are oscillatory changes of cytosolic calcium
concentration in response to agonist stimulation, are experimentally well observed in …

In this work, we investigate the dynamics of a model of 4-neurons based hyperchaotic
Hopfield neural network (HHNN) with a unique unstable node as a fixed point. The basic …

We investigate the various types of complex Ca2+ oscillations which can arise in a model
based on the mechanism of Ca2+-induced Ca2+ release (CICR), that takes into account the …

In the paper different types of bursting Ca2+ oscillations are presented. We analyse bursting
behaviour in four recent mathematical models for Ca2+ oscillations in non-excitable cells …

We simulate currents and concentration profiles generated by Ca 2+ release from the
endoplasmic reticulum (ER) to the cytosol through IP 3 receptor channel clusters. Clusters …

We present an overview of mechanisms responsible for simple or complex oscillatory
behavior in metabolic and genetic control networks. Besides simple periodic behavior …