Oscillations of cytoplasmic concentrations of Ca2+ and K+ in fused L cells

Summary Using Ca²⁺- and K⁺-selective microelectrodes, the cytosolic free Ca²⁺ and K⁺ concentrations were measured in mouse fibroblastic L cells. When the extracellular Ca²⁺ concentration exceeded several micromoles, spontaneous oscillations of the intracellular free Ca²⁺ concentration were observed in the submicromolar ranges. During the Ca²⁺ oscillations, the membrane potential was found to oscillate concomitantly. The peak of cyclic increases in the free Ca²⁺ level coincided in time with the peak of periodic hyperpolarizations. Both oscillations were abolished by reducing the extracellular Ca²⁺ concentration down to 10^–7 m or by applying a Ca²⁺ channel blocker, nifedipine (50 m). In the presence of 0.5mm quinine, an inhibitor of Ca²⁺-activated K⁺ channel, sizable Ca²⁺ oscillations still persisted, while the potential oscillations were markedly suppressed. Oscillations of the intracellular K⁺ concentration between about 145 and 140mm were often associated with the potential oscillations. The minimum phase of the K⁺ concentration was always 5 to 6 sec behind the peak hyperpolarization. Thus, it is concluded that the oscillation of membrane potential results from oscillatory increases in the intracellular Ca²⁺ level, which, in turn, periodically stimulate Ca²⁺-activated K⁺ channels.     

Depolarization of macrophage polykaryons in the absence of external sodium induces a cyclic stimulation of a calcium-activated potassium conductance

Macrophage polykaryons associated with the foreign body granuloma display several electrophysiological properties when studied with intracellular microelectrodes. One of the most evident properties is the slow hyperpolarization (2–5 s long, 10–60 mV amplitude), due to transient openings of Ca²⁺-dependent K⁺ channels, that is similar to those observed in macrophages. How this oscillation of membrane potential is triggered is not well known and the only way to repeatedly activate it under experimental control is through the intracellular injection of Ca²⁺. Although this technique is important for understanding the properties of the K⁺ channels, no information has been obtained about the way Ca²⁺ levels are raised and controlled in the cytosol. Slow hyperpolarizations can also be triggered by electrical stimulation, but reproducibility is low with cells bathed in physiological solutions. We then decided to investigate the effect of depolarization on the electrophysiological properties of macrophage polykaryons exposed to bathing solutions of several ionic compositions. We show in this paper that cell membrane depolarization induced by a long current pulse can trigger several patterns of membrane potential changes and that, in the absence of extracellular Na⁺, repetitive oscillations of decaying amplitudes are observed in almost all the cells. They are very similar to the slow hyperpolarizations, are dependent on the presence of extracellular Ca²⁺, and are blocked by quinine and D-600. Whole-cell patch clamp recording under voltage clamp conditions showed an outward current that oscillates and that also exhibits decaying amplitudes. The data presented here indicate that these oscillations are a consequence of the cyclic opening of the Ca²⁺-activated K⁺ channels and support the hypothesis that favors the participation of Ca²⁺ channels and of the Ca²⁺/Na⁺ exchange system in their triggering. These two mechanisms are not enough to explain either why the K⁺ channels close or why the membrane potential returns to the original level at the end of each cycle. The possibility of using these oscillations as a model to study the slow hyperpolarization is discussed.     

The Relationship between Membrane Potential and Calcium Dynamics in Glucose-Stimulated Beta Cell Syncytium in Acute Mouse Pancreas Tissue Slices

Oscillatory electrical activity is regarded as a hallmark of the pancreatic beta cell glucose-dependent excitability pattern. Electrophysiologically recorded membrane potential oscillations in beta cells are associated with in-phase oscillatory cytosolic calcium activity ([Ca²⁺]_i) measured with fluorescent probes. Recent high spatial and temporal resolution confocal imaging revealed that glucose stimulation of beta cells in intact islets within acute tissue slices produces a [Ca²⁺]_i change with initial transient phase followed by a plateau phase with highly synchronized [Ca²⁺]_i oscillations. Here, we aimed to correlate the plateau [Ca²⁺]_i oscillations with the oscillations of membrane potential using patch-clamp and for the first time high resolution voltage-sensitive dye based confocal imaging. Our results demonstrated that the glucose-evoked membrane potential oscillations spread over the islet in a wave-like manner, their durations and wave velocities being comparable to the ones for [Ca²⁺]_i oscillations and waves. High temporal resolution simultaneous records of membrane potential and [Ca²⁺]_i confirmed tight but nevertheless limited coupling of the two processes, with membrane depolarization preceding the [Ca²⁺]_i increase. The potassium channel blocker tetraethylammonium increased the velocity at which oscillations advanced over the islet by several-fold while, at the same time, emphasized differences in kinetics of the membrane potential and the [Ca²⁺]_i. The combination of both imaging techniques provides a powerful tool that will help us attain deeper knowledge of the beta cell network.     

Simulation of intracellular Ca2+ oscillation in a sympathetic neurone

Three different theoretical models were considered for the mechanism of the oscillation of the intracellular free Ca²⁺ ([Ca²⁺]_i) linked to the K⁺ conductance of the plasma membrane (G_K) observed in bullfrog sympathetic ganglion cells. The models assumed a Ca²⁺-induced Ca²⁺ release mechanism, an active Ca²⁺ uptake mechanism at a Ca²⁺ reservoir site in the ganglion cell, and a Michaelis—Menten type relationship between [Ca²⁺]_i and G_K. Including both active and passive Ca²⁺ transport mechanisms at the plasma membrane, either a one-compartment model or a two-compartment model for the intracellular Ca²⁺ store reconstructed successfully the [Ca²⁺]_i oscillation and rhythmic membrane hyperpolarizations observed in the ganglion cell, and simulated most of their characteristics. On the other hand, a two-compartment model disregarding of Ca²⁺ transport at the plasma membrane failed to reproduce the oscillations of [Ca²⁺]_i and membrane potential.     

Evidence for the involvement of calmodulin in the operation of Ca-activated K channels in mouse fibroblasts

Summary The oscillation of membrane potential in fibroblastic L cells is known to result from periodic stimulation of Ca²⁺-activated K⁺ channels due to the oscillatory increase in the intracellular Ca²⁺ concentration. These repeated hyperpolarizations were inhibited by putative calmodulin antagonists, trifluoperazine (TFP), N-(6-aminohexyl)-5-chloro-1-naphthalenesulfonamide (W-7) and promethazine (PMZ), and the concentrations required for half-maximal inhibition were 25, 30 and 300 m, respectively. These doses were lower than those for reducing the membrane resistance due to nonspecific cell damages. Another calmodulin antagonist, chlorpromazine (CPZ), was also effective, but CPZ-sulfoxide was not. Intracellular pressure injections of calmodulin-interacting divalent cations, Ca²⁺, Sr²⁺, Mn²⁺ and Ni²⁺, elicited slow hyperpolarizations, whereas Mg²⁺ and Ba²⁺, which are known to be essentially inert for calmodulin, failed to evoke any responses. The injection of purified calmodulin also brought about a similar hyperpolarization. Quinine, an inhibitor of Ca²⁺-activated K⁺ channels, abolished both Ca²⁺-and calmodulin-induced hyperpolarizations. TFP prevented Ca²⁺-induced hyperpolarizations. The TFP effect was partially reversed by the calmodulin injection. It is concluded that calmodulin is involved in the operation of Ca²⁺-activated K⁺ channels in fibroblasts.     

Simultaneous Measurement of the Bioelectric Potential of the Cell Wall and the Vacuoles during the Oscillatory Response to the Nitella Cell

Simultaneous measurements of bioelectric potentials of the vacuole and cell wall in cells of Nitella mucronata were made by inserting glass microelectrodes into the vacuole and cell wall respeclively. During the oscillation of the bioelectric potential of the vacuole. induced by sudden changes of the external bathing solution or by the impalement of the cell with a microelectrode. the cell wall potential also exhibited fluctuations of variable intensities in phase and concomitant with spikes of the vacuolar potential oscillation. However, the polarity of the pulses of the cell wall potential was reverse to that of the spikes of the vacuolar potential. These results suggest that the same event is registered at both sides of the plasmalemma membrane across which these phenomena are occurring. The results also support the voltage clamp and tracer flux measurements on these cells which indicate that during the generation of single action potentials, induced by current, the plasma lemma transiently increases its permeability to Cl^? and K⁺ ions expelling them from the cell. The variable intensity of the transient hyperpolarizations of the cell wall potential is explained by the distance of the microelectrode in the cell wall from the plasmalemma.     

Oscillating activity of a calcium-activated K+ channel in normal and cancerous mammary cells in culture

Summary Calcium-activated potassium channels were the channels most frequently observed in primary cultured normal mammary cell and in the established mammary tumor cell, MMT060562. In both cells, single-channel and whole-cell clamp recordings sometimes showed slow oscillations of the Ca²⁺-gated K⁺ current. The characteristics of the Ca²⁺-activated K⁺ channels in normal and cancerous mammary cells were quite similar. The slope conductances changed from 8 to 70 pS depending on the mode of recording and the ionic composition in the patch electrode. The open probability of this channel increased between 0.1 to 1 m of the intracellular Ca²⁺, but it was independent of the membrane potential.Charybdotoxin reduced the activity of the Ca²⁺-activated K⁺ channel and the oscillation of the membrane current, but apamin had no apparent effect. The application of tetraethylammonium (TEA) from outside and BaCl₂ from inside of the cell diminished the activity of the channel. The properties of this channel were different from those of both the large conductance (BK or MAXI K) and small conductance (SK) type Ca²⁺-activated K⁺ channels.     

Ca2+-activated K+ conductance causes membrane hyperpolarizations in a monkey kidney cell line (JTC-12)

Summary We have previously reported hyperpolarizing membrane potential changes in a monkey kidney cell line (JTC-12) which has characteristics resembling proximal tubular cells. These hyperpolarizations could be observed spontaneously or evoked by mechanically touching adjacent cells. In this report, we have shown further evidence that these hyperpolarizations are elicited by an increase in membrane conductance to K⁺ which is caused by an increase in cytosolic Ca²⁺ concentration. In addition, we have found another type of hyperpolarization which is evoked by applying flow of extracellular fluid to the cell. Intracellular injection of Ca²⁺ and Sr²⁺ evoked hyperpolarizations, while intracellular injection of Mn²⁺ and Ba²⁺ did not. Intracellular injection of EGTA suppressed both spontaneous and mechanically evoked hyperpolarizations. In Ca²⁺-free medium, both spontaneous and flow-evoked hyperpolarizations were not observed, while mechanical stimuli consistently evoked hyperpolarization. In Na⁺-free medium, the incidence of cells showing the spontaneous or flow-evoked hyperpolarization increased, and the amplitude and the duration of the mechanically evoked hyperpolarization became greater. Quinidine inhibited all types of hyperpolarization. These data suggest that hyperpolarizations in JTC-12 cells are due to an increase in Ca²⁺-activated K⁺ conductance.     

A Mathematical Analysis of Agonist- and KCl-Induced Ca Oscillations in Mouse Airway Smooth Muscle Cells

Airway hyperresponsiveness is a major characteristic of asthma and is generally ascribed to excessive airway narrowing associated with the contraction of airway smooth muscle cells (ASMCs). ASMC contraction is initiated by a rise in intracellular calcium concentration ([Ca²⁺]_i), observed as oscillatory Ca²⁺ waves that can be induced by either agonist or high extracellular K⁺ (KCl). In this work, we present a model of oscillatory Ca²⁺ waves based on experimental data that incorporate both the inositol trisphosphate receptor and the ryanodine receptor. We then combined this Ca²⁺ model and our modified actin-myosin cross-bridge model to investigate the role and contribution of oscillatory Ca²⁺ waves to contractile force generation in mouse ASMCs. The model predicts that: 1), the difference in behavior of agonist- and KCl-induced Ca²⁺ waves results principally from the fact that the sarcoplasmic reticulum is depleted during agonist-induced oscillations, but is overfilled during KCl-induced oscillations; 2), regardless of the order in which agonist and KCl are added into the cell, the resulting [Ca²⁺]_i oscillations will always be the short-period, agonist-induced-like oscillations; and 3), both the inositol trisphosphate receptor and the ryanodine receptor densities are higher toward one end of the cell. In addition, our results indicate that oscillatory Ca²⁺ waves generate less contraction than whole-cell Ca²⁺ oscillations induced by the same agonist concentration. This is due to the spatial inhomogeneity of the receptor distributions.     

Intracellular microelectrode measurements in small cells evaluated with the patch clamp technique.

Microelectrode penetration of small cells leads to a sustained depolarization of the resting membrane potential due to a transmembrane shunt resistance (Rs) introduced by the microelectrode. This has led to underestimation of the resting membrane potential of various cell types. However, measurement of the fast potential transient occurring within the first few milliseconds after microelectrode penetration can provide information about pre-impalement membrane electrophysiological properties. We have analyzed an equivalent circuit of a microelectrode measurement to establish the conditions under which the peak of the impalement transients (Ep) approaches the pre-impalement resting membrane potential (Em) of small cells most closely. The simulation studies showed that this is the case when the capacitance of the microelectrode is low and the membrane capacitance of the cell high. In experiments performed to assess the reliability of Ep as a measure of Em, whole-cell patch clamp measurements were performed in the current clamp mode to monitor, free from the effects of Rs, Em in cultured human monocytes. Microelectrode impalement of such patch clamped cells and measurement of Ep made it possible to detect correlation between Ep and Em and showed that for small cells such as human monocytes Ep is on average 6 mV less negative than the resting membrane potential.     

Fluctuations in the Concentration of Extracellular ATP Synchronized with Intracellular Ca2+ Oscillatory Rhythm in Cultured Cardiac Myocytes

Isolated and cultured neonatal cardiac myocytes contract spontaneously and cyclically. The intracellular concentration of free Ca²⁺ also changes rhythmically in association with the rhythmic contraction of myocytes (Ca²⁺ oscillation). Both the contraction and Ca²⁺ oscillatory rhythms are synchronized among myocytes, and intercellular communication via gap junctions has been considered primarily responsible for the synchronization. However, a recent study has demonstrated that intercellular communication via extracellular ATP‐purinoceptor signaling is also involved in the intercellular synchronization of intracellular Ca²⁺ oscillation. In this study, we aim to elucidate whether the concentration of extracellular ATP changes cyclically and contributes to the intercellular synchronization of Ca²⁺ oscillation among myocytes. In almost all the cultured cardiac myocytes at four days in vitro (4 DIV), intracellular Ca²⁺ oscillations were synchronized with each other. The simultaneous measurement of the concentration of extracellular ATP and intracellular Ca²⁺ revealed the extracellular concentration of ATP actually oscillated concurrently with the intracellular Ca²⁺ oscillation. In addition, power spectrum and cross‐correlation analyses suggested that the treatment of cultured cardiac myocytes with suramin, a blocker of P2 purinoceptors, resulted in the asynchronization of Ca²⁺ oscillatory rhythms among cardiac myocytes. Treatment with suramin also resulted in a significant decrease in the amplitudes of the cyclic changes in both intracellular Ca²⁺ and extracellular ATP. Taken together, the present study demonstrated the possibility that the concentration of extracellular ATP changes cyclically in association with intracellular Ca²⁺, contributing to the intercellular synchronization of Ca²⁺ oscillation among cultured cardiac myocytes.     

Crosstalk between cellular morphology and calcium oscillation patterns Insights from a stochastic computer model

Agonist-induced oscillations in the concentration of intracellular free calcium ([Ca²⁺]₁) display a wide variety of temporal and spatial patterns. In non-excitable cells, typical oscillatory patterns are somewhat cell-type specific and range from frequency-encoded, repetitive Ca²⁺ spikes to oscillations that are more sinusoidal in shape. Although the response of a cell population, even to the same stimulus, is often extremely heterogeneous, the response of the same cell to successive exposures can be remarkably similar. We propose that such ‘Ca ²⁺ fingerprints’ can be a consequence of cell-specific morphological properties. The hypothesis is tested by means of a stochastic computer simulation of a two-dimensional model for oscillatory Ca ²⁺ waves which encompasses the basic elements of the two-pool oscillator introduced by Goldbeter et al. (Goldbeter A., Dupont G., Berridge M.J. Minimal model for signal-induced Ca²⁺-oscillations and for their frequency encoding through protein phosphorylation. Proc Natl Acad Sci USA 1990; 87: 1461–1465). In the framework of our extended spatiotemporal model, single cells can display various oscillation patterns which depend on the agonist dose, Ca²⁺ diffusibility, and several morphological parameters. These are, for example, size and shape of the cell and the cell nucleus, the amount and distribution of Ca²⁺ stores, and the subcellular location of the inositol(1,4,5)-trisphosphate-generating apparatus.     

Membrane potential changes associated with pinocytosis of serum lipoproteins in L cells

L cells exhibit spontaneous oscillations of membrane potential in accord with fluctuations of the cytoplasmic Ca²⁺ concentration. Upon addition of low-density lipoprotein (LDL), L cells show a prolonged hyperpolarization which is followed by an increase in the frequency of membrane potential oscillations. These membrane potential changes induced by LDL were inhibited by Ca²⁺-channel blockers. LDL-induced membrane potential changes were accompanied by a vigorous pinocytosis which was coupled with the formation of ring-like ridge structures on the cell surface. These electrical and morphological changes were also induced by high-density lipoprotein (HDL) but not by very-low-density lipoprotein (VLDL). These results suggest that the application of LDL or HDL to the membrane surface elicits a rapid influx of Ca²⁺ into the cytosol, resulting in membrane hyperpolarization. A rise in cytoplasmic Ca²⁺ may be implicated in the primary factor for the pinocytic process.     

Calcium oscillations induced by gambierol in cerebellar granule cells

Gambierol is a marine polyether ladder toxin derived from the dinoflagellate Gambierdiscus toxicus. To date, gambierol has been reported to act either as a partial agonist or as an antagonist of sodium channels or as a blocker of voltage‐dependent potassium channels. In this work, we examined the cellular effect of gambierol on cytosolic calcium concentration, membrane potential and sodium and potassium membrane currents in primary cultures of cerebellar granule cells. We found that at concentrations ranging from 0.1 to 30 µM, gambierol‐evoked [Ca²⁺]c oscillations that were dependent on the presence of extracellular calcium, irreversible and highly synchronous. Gambierol‐evoked [Ca²⁺]c oscillations were completely eliminated by the NMDA receptor antagonist APV and by riluzole and delayed by CNQX. In addition, the K⁺ channel blocker 4‐aminopyridine (4‐AP)‐evoked cytosolic calcium oscillations in this neuronal system that were blocked by APV and delayed in the presence of CNQX. Electrophysiological recordings indicated that gambierol caused membrane potential oscillations, decreased inward sodium current amplitude and decreased also outward IA and IK current amplitude. The results presented here point to a common mechanism of action for gambierol and 4‐AP and indicate that gambierol‐induced oscillations in cerebellar neurons are most likely secondary to a blocking action of the toxin on voltage‐dependent potassium channels and hyperpolarization of sodium current activation. J. Cell. Biochem. 110: 497–508, 2010. © 2010 Wiley‐Liss, Inc.     

Mathematical Modelling of Ca2+ Oscillations in Airway Smooth Muscle Cells

The action of different agonists such as acetylcholine on the membrane of airway smooth muscle cells may induce cytosolic Ca²⁺ oscillations which can be a part of the Ca²⁺ signalling pathway, eventually leading to cell contraction. The aim of the present study is to present a mathematical model of the possible effect of the initial Ca²⁺ distribution within the cell on the form and frequency of induced Ca²⁺ oscillations. It takes into account intracellular Ca²⁺ stores such as sarcoplasmic reticulum and cytosolic proteins as well as Ca²⁺ exchange across the plasma membrane. We are able to demonstrate a closer agreement of model predictions with observed Ca²⁺ traces for a significantly wider range of parameter values, as was previously reported. We show also that the total cellular Ca²⁺ content is an important system parameter especially because of the content in sarcoplasmic reticulum. At a total Ca²⁺ increase of about 20%, the oscillation frequency increases by 25%; also, damped oscillations become sustained. Cases are indicated in which such a situation could occur.     

High-frequency oscillations and circadian rhythm of the membrane potential in Spinach leaves

The microelectrode technique was used to follow oscillations in membrane potential in mesophyll cells of spinach (Spinacia oleracea L.) during exposure do different photoperiodic conditions. Both high-frequency oscillations and circadian variations were observed. The circadian rhythm was imposed on the period of high-frequency oscillation during short days as well as in continuous light: The free-running period was 25.2 h. The average period of high-frequency oscillation increased from 7.64 min in the dark to 19.95 min in the light within several minutes after dark to light transition. This period length coincides with the established period length for oscillations in the redox potential in the chloroplast suspensions of spinach.Abbreviations CL continuous light - SD short day - MP membrane potential     

Depolarization of macrophage polykaryons in the absence of external sodium induces a cyclic stimulation of a calcium-activated potassium conductance

Macrophage polykaryons associated with the foreign body granuloma display several electrophysiological properties when studied with intracellular microelectrodes. One of the most evident properties is the slow hyperpolarization (2-5 s long, 10-60 mV amplitude), due to transient openings of Ca2+-dependent K+ channels, that is similar to those observed in macrophages. How this oscillation of membrane potential is triggered is not well known and the only way to repeatedly activate it under experimental control is through the intracellular injection of Ca2+. Although this technique is important for understanding the properties of the K+ channels, no information has been obtained about the way Ca2+ levels are raised and controlled in the cytosol. Slow hyperpolarizations can also be triggered by electrical stimulation, but reproducibility is low with cells bathed in physiological solutions. We then decided to investigate the effect of depolarization on the electrophysiological properties of macrophage polykaryons exposed to bathing solutions of several ionic compositions. We show in this paper that cell membrane depolarization induced by a long current pulse can trigger several patterns of membrane potential changes and that, in the absence of extracellular Na+, repetitive oscillations of decaying amplitudes are observed in almost all the cells. They are very similar to the slow hyperpolarizations, are dependent on the presence of extracellular Ca2+, and are blocked by quinine and D-600. Whole-cell patch clamp recording under voltage clamp conditions showed an outward current that oscillates and that also exhibits decaying amplitudes. The data presented here indicate that these oscillations are a consequence of the cyclic opening of the Ca2+-activated K+ channels and support the hypothesis that favors the participation of Ca2+ channels and of the Ca2+/Na+ exchange system in their triggering. These two mechanisms are not enough to explain either why the K+ channels close or why the membrane potential returns to the original level at the end of each cycle. The possibility of using these oscillations as a model to study the slow hyperpolarization is discussed.     

Involvement of TRPC3 channels in calcium oscillations mediated by OX1 orexin receptors

Oscillations of intracellular Ca²⁺ provide a novel mechanism for sustained activation of cellular processes. Receptor-activated oscillations are mainly thought to occur through rhythmic IP₃-dependent store discharge. However, as shown here in HEK293 cells 1 nM orexin-A (Ox-A) acting at OX₁ receptors (OX₁R) triggered oscillatory Ca²⁺ responses, requiring external Ca²⁺. These responses were attenuated by interference with TRPC3 channel (but not TRPC1/4) function using dominant negative constructs, elevated Mg²⁺ (a blocker of many TRP channels) or inhibition of phospholipase A₂. These treatments did not affect Ca²⁺ oscillations elicited by high concentrations of Ox-A (100 nM) in the absence of external Ca²⁺. OX₁R are thus able to activate TRPC(3)-channel-dependent oscillatory responses independently of store discharge.     

A model for Ca2+ oscillations stimulated by the type 5 metabotropic glutamate receptor: an unusual mechanism based on repetitive, reversible phosphorylation of the receptor

In parallel with experimental investigations, the molecular mechanisms responsible for Ca²⁺ oscillations have been much investigated with computational models. In the vast majority of cell-types, these oscillations rely on the biphasic regulation of the inositol 1,4,5-trisphosphate (InsP₃) receptor by cytosolic Ca²⁺. However, when Ca²⁺ oscillations are initiated by agonist stimulation of the type 5 metabotropic glutamate (mGlu5) receptor, oscillatory behaviour is tightly controlled by repetitive cycles of receptor phosphorylation/dephosphorylation leading to the periodic activation/deactivation of the G protein-activated signalling cascade downstream of this G protein-coupled receptor. We present a minimal model for mGlu5 receptor-induced Ca²⁺ oscillations, taking into account receptor phosphorylation by a protein kinase C isoenzyme sensitive to diacylglycerol but not to Ca²⁺. Depending on the density of receptors and the level of stimulation, the model reproduces Ca²⁺ oscillations based on either a ‘dynamic uncoupling’ mechanism or InsP₃ receptor dynamics. When based on the former mechanism, Ca²⁺ oscillation frequency is insensitive to the level of stimulation, while the level of receptor expression is a determinant of oscillation frequency. When investigating the conditions for the occurrence of oscillations, the model predicts that dynamic uncoupling likely relies on a steep relationship between the activity of PKC and the amount of phosphorylated mGlu5 receptor. Finally, we use the model to simulate the adaptation of the signalling pathway during periods of prolonged stimulation associated with receptor desensitization/internalization. The model suggests that the existence of both oscillatory mechanisms could allow for a significant lengthening of the repetitive Ca²⁺ responses under these conditions.