Abstract

We compared structure and function of EDL and Soleus muscles in adult (4–6 m) mice lacking both Calsequestrin (CASQ) isoforms, the main SR Ca2+-binding proteins. Lack of CASQ induced ultrastructural alterations in ~30% of Soleus fibers, but not in EDL. Twitch time parameters were prolonged in both muscles, although tension was not reduced. However, when stimulated for 2 sec at 100 hz, Soleus was able to sustain contraction, while in EDL active tension declined by 70–80%. The results presented in this paper unmask a differential effect of CASQ1&2 ablation in fast versus slow fibers. CASQ is essential in EDL to provide large amount of Ca2+ released from the SR during tetanic stimulation. In contrast, Soleus deals much better with lack of CASQ because slow fibers require lower Ca2+ amounts and slower cycling to function properly. Nevertheless, Soleus suffers more severe structural damage, possibly because SR Ca2+ leak is more pronounced.

1. Introduction

Skeletal muscles are composed of a variety of fibers which are traditionally classified as fast and slow depending on their contractile parameters, such as time to peak in the isometric twitch or maximum shortening velocity, or as glycolytic and oxidative depending on their metabolic properties [1]. The current nomenclature, based on myosin heavy chain (MHC) isoform composition, includes 4 major fiber types, called type 1 or slow and type 2A, 2X, and 2B or fast, respectively, each of them with specific contractile properties [2].

The differences between fast and slow fibers, however, are not restricted only to myofibrillar proteins (myosin isoforms) and to metabolic enzymes (predominance of glycolitic versus oxidative activities), but also involves other subcellular systems [3]. Importantly the kinetics of Ca2+ mobilization are profoundly different in slow versus fast twitch fibers [47]. Intracellular Ca2+ concentrations ([Ca2+]i) and Ca2+ release/reuptake from intracellular stores (i.e., the sarcoplasmic reticulum, SR) are controlled by the sarcotubular system, a highly organized system of membranes formed by the association of invaginations of the sarcolemma, i.e., the transverse (T)-tubules, with the terminal cisternae of the SR [8, 9]. T-tubules contain voltage-gated L-type Ca2+ channel (or dihydropyridine receptors, DHPRs) which are mechanically coupled to Ca2+ release channels of the SR, the ryanodine receptors type-1 (RYR1) [10, 11]. Interaction between DHPR and RYR1 occurs at intracellular junctions called Ca2+ release units (CRUs) or triads, which mediate excitation-contraction (EC) coupling [12, 13]. CRUs contain several other proteins beside DHPRs and RYR1s: among them Calsequestrin (CASQ), the main intraluminal Ca2+ binding protein of the SR [14, 15], which is located in terminal cisternae of the junctional SR in close proximity to RYRs [16, 17]. In skeletal muscles, CASQ exists in two isoforms known as CASQ1 (or skeletal) and CASQ2 (or cardiac). Both isoforms can be found in slow fibers, whereas only CASQ1 is expressed in fast fibers [18, 19]. It has been reported that the total CASQ content is greater in fast than in slow fibers [20]. A recent quantitative analysis on single fibers from rat points to a concentration of 36 μM in fast fibers (only CASQ1) versus 10 μM in slow fibers (CASQ1 and CASQ2) [21]. Owing to its properties (medium-low affinity, but high capacity), CASQ provides a large SR pool of releasable Ca2+, while maintaining SR intraluminal concentrations of free Ca2+ low enough to facilitate the work of sarcoendoplasmic reticulum Ca2+ ATP-ase (SERCA) pumps. CASQ in skeletal muscle fibers plays an important dual role: (i) to buffer Ca2+ inside the SR thanks to the large number of acidic residues which allows each CASQ molecule to bind up to 60–80 Ca2+ ions [22]; (ii) to modulate Ca2+ release from the SR via a tradin/junctin-mediated interaction with RYR1 [2325]. There is evidence that CASQ1 has different polymerization rate and Ca2+ buffering properties than CASQ2 [22], suggesting the possibility that RYR1 is modulated differently by CASQ1 and 2 in fast- and slow-twitch fibers [26]. Murphy and colleagues [21] recently suggested that CASQ2 is more efficient than CASQ1 in reducing SR Ca2+ leak, a property also shown in cardiac muscle [27].

Mice lacking CASQ1 were viable and fertile [28]. Nevertheless, lack of CASQ1 induced significant functional and structural modifications in skeletal fibers: CASQ1 ablation reduced dramatically the total SR Ca2+ content (of about 70%) in fast twitch from flexor digitorum brevis (FDB) muscles. However, Ca2+ transients evoked by a single stimulus was surprisingly not dramatically reduced so that twitch peak force was preserved [28]. This apparent minor functional impairment can be in part explained by morphological adaptations taking place in fast fibers, that is, profound remodelling of CRUs which forms multiple layers of junctional SR and T-tubules bearing an approximately doubled number of RYRs [28].

Both functional and structural changes were more evident in extensor digitorum longus (EDL) and in FDB, containing predominantly fast twitch fibers, than in Soleus muscle, a predominantly slow twitch muscle. There are reasons to believe that the impact of CASQ1 ablation is more evident in EDL and in FDB than in Soleus, because CASQ2 is expressed in CASQ1-null mice and quite abundant in slow twitch fibers. To explain the differential impact of CASQ1 ablation in fast versus slow fibers, we may also have to consider important functional differences: in fast fibers greater amounts of Ca2+ are released after each action potential [5], SR volume is greater, and SR is filled only to 35% of its maximal capacity [21]. In contrast SR of slow fibers is filled to its maximal capacity [21]. In view of the possible diversity in Ca2+ handling between slow and fast muscles and to investigate how complete ablation of CASQ will affect the different muscle types we studied EDL and Soleus muscle in mice lacking both CASQ isoforms [29, 30], generated by cross-breeding preexisting CASQ1-null and CASQ2-null mice [28, 31].

Interestingly, our results show that EDL and Soleus are differently affected by complete ablation of CASQ, as EDL, but not Soleus, becomes unable to maintain tension during prolonged tetanic contractions, while Soleus, but not EDL, displays the early onset of a myopathic phenotype.

2. Materials and Methods

2.1. CASQ-Null Mice

CASQ1-null and CASQ2-null mice were generated as previously described [28, 31]. Double (d)CASQ-null mice lacking both CASQ isoforms were generated by cross-breeding the preexisting CASQ1-null and CASQ2-null mice. C57BL/6J mice were used as wild-type (WT) controls and obtained from Charles River Italia. Mice were housed in microisolator cages, temperature 22°C, 12 hr light/dark cycle, with free access to water and food. Mice were killed by an overdose of the anaesthetic ethylic ether, and their muscles were rapidly dissected. All experiments were conducted according to the National Institutes of Health Guide for the Care and Use of Laboratory Animals and were approved by the ethical committee of the University of Chieti and of the Department of Anatomy and Physiology, University of Padova.

2.2. Preparation of Homogenates, Electrophoresis, Western Blot Analysis (Figure 1)

Preparation of total homogenates from WT, CASQ1-null and dCASQ-null muscles (hind limb, EDL, and Soleus), and western blot analysis were performed as previously described in 4–6 -month- old mice [28]. The antibody used was a rabbit polyclonal antibody reactive with both isoforms of CASQ (Affinity Bioreagents, USA).

2.3. Spontaneous Mortality Rate (Figure 2)

The rate of spontaneous mortality under standard housing conditions was assessed during the entire life span using the Kaplan-Meier method in a subpopulation of mice which were not utilized for other experiments. Age- and sex-dependent probability of survival is shown in Figure 2.

2.4. Grip Strength Test (Figure 3)

Strength developed by WT, CASQ1-null, and dCASQ-null male mice of 6 months of age was measured during instinctive grasp with a grip-strength-test protocol [33]. The mouse was held by the tail in proximity to a trapeze bar connected with the shaft of a Shimpo Fgv 0.5x force transducer (Metrotec Group, San Sebastián Spain). Once the mouse had firmly grabbed the trapeze, a gentle pull was exerted on the tail. The measurement of the peak force generated by each mouse with fore and hind limbs was repeated three times with appropriate intervals to avoid fatigue, and the average of the highest peak force values was normalized to the body mass [33].

2.5. Preparation and Analysis of Samples by Light and Electron Microscopy (EM) (Figure 4 and Table 1)

EDL and Soleus muscles were carefully dissected from WT, CASQ1-null, and dCASQ-null at 4–6 months of age. Muscles were fixed at RT in 3.5% glutaraldehyde in 0.1 M sodium cacodylate buffer, pH 7.2 for 2 h and kept in fixative before further use. Small bundles of fixed fibers were postfixed in 2% OsO4 in 0.1 M sodium cacodylate buffer for 2 h and block stained in aqueous saturated uranyl acetate. After dehydration, specimens were embedded in an epoxy resin (Epon 812). For histological analysis, longitudinal and cross-oriented semithin sections (300 nm) were cut with a Leica Ultracut R microtome (Leica Microsystem, Vienna, Austria) using a Diatome diamond knife (DiatomeLtd. CH-2501 Biel, Switzerland). After staining with Toluidine Blue dye, the sections were viewed on a Leica DMLB fluorescence microscope (Leica Microsystem, Vienna, Austria). Quantitative analysis of damaged fibers (data in Table 1) was performed on histology images. For EM, ultrathin sections (35 nm) were cut and, after staining in 4% uranyl acetate and lead citrate, examined with a Morgagni Series 268D electron microscope (FEI Company, Brno, Czech Republic), equipped with Megaview III digital camera.

2.6. Force and Contraction Kinetics of Isolated Intact Muscles (Figures 5 and 6)
(1)EDL and Soleus muscles were dissected from the hind limbs of WT and knock-out male mice (4 months old) in warm oxygenated Krebs solution and mounted between a force transducer (SI-H Force Transducer World Precision Instruments, Inc., Sarasota, FL, USA) and a micromanipulator-controlled shaft in a small chamber where oxygenated Krebs solution was continuously circulated. The temperature was kept constant at 25°C. The stimulation conditions were optimized, and muscle length was increased until force development during tetanus was maximal. The responses to a single stimulus (twitch) or to a series of stimuli at various rates producing unfused or fused tetani were recorded. Time-to-peak tension, time-to-half relaxation, time-to-base tension, and peak-tension were measured in single twitches. Tension was measured in completely fused maximal tetani of different duration (0.5–2 s) at the peak and just after the last stimulus.
2.7. Statistical Analysis

Data were expressed as mean ± standard errors. For analysis of force and contraction kinetics comparison between the three groups (WT, CASQ1-null, and dCASQ-null mice) was carried out using ANOVA followed by a post hoc test (Newman-keuls test), while for weight and grip test the statistical significance was assessed using the unpaired Student’s t-test.

3. Results

3.1. Phenotype of dCASQ-Null Mice

The expression of the two CASQ isoforms in WT, CASQ1-null, and dCASQ-null mice was assessed by western blots of homogenates prepared from either all hind limb muscles (Figure 1(a)) or separately from EDL and Soleus (Figures 1(b) and 1(c), resp.). Analysis showed that: (a) in CASQ1-null muscles CASQ1 is missing, whereas CASQ2 is still present, more in Soleus (slow twitch) and less in EDL (fast twitch); (b) in dCASQ-null muscles both isoforms are absent. dCASQ-null mice were viable and fertile, appeared to develop and breed normally, and did not present a clear overt phenotype. However, male mice carrying the double-null mutation displayed a greatly increased mortality rate compared to WT animals, even more pronounced than that of CASQ1-null male mice (Figure 2; see also [32, 34] for more detail): more than 50% of male mice died before reaching the age of 6 months. Rate of spontaneous mortality of CASQ1-null and dCASQ-null females was not significantly different from that of male and female WT (Figure 2).

3.2. dCASQ-Null Mice Presented a Reduced Body Weight and Produced Less Grip-Strength Force Than WT Mice

We measured the average body weight of WT, CASQ1-null, and dCASQ-null adult male mice (4–6 months of age): dCASQ-null mice were on the average significantly smaller than WT and slightly smaller than CASQ1-null mice (Figure 3(a)). To assess basic neuromuscular function of living mice, we used the grip strength test, which provides a simple way to test the global muscle performance during maximal isometric contraction of short duration [33]. Figure 3(b) shows that mice lacking either CASQ1 or both CASQ isoforms developed a significantly lower force output than WT. No significant difference was detectable between mice lacking only CASQ1 and both CASQ isoforms using this method.

3.3. In dCASQ-Null Soleus Muscle 30% of Soleus Fibers Displayed Severe Ultrastructural Damage

We performed structural analysis of EDL and Soleus muscles from adult male (4–6 months of age) WT, CASQ1-null, and dCASQ-null mice using a combination of sectioning for histology and EM (Figure 4). This examination revealed that a significant percentage of fibers in dCASQ-null Soleus exhibit severe morphological alterations (Table 1). This structural damage, which was not found in EDL at this age (4–6 months), disrupts the regular cross-striation of skeletal fibers and affects large portions of the fiber interior (Figure 4(e), asterisk). Whereas structural alterations are quite variable in appearance, we classified abnormal fibers in two main classes (Table 1): (a) those presenting large areas loosing cross-striation, or unstructured cores, but no contractures (Figure 4(f)); (b) those containing also areas of contracture (Figure 4(e), asterisk). Fibers containing unstructured cores were frequent in Soleus from dCASQ-null mice, but rare in CASQ1-null Soleus and totally absent in WT (Table 1, Column (a)). Fiber presenting contracture cores, on the other hand, were never found in Soleus muscles from WT and CASQ1-null mice, whereas again they were quite frequent in Soleus fibers from dCASQ-null (Table 1, Column (b)). Overall, ~35% of Soleus fibers from dCASQ-null mice showed structural alterations (Table 1, Column (c)).

3.4. Ablation of Both CASQ Isoforms Results in an Alteration of Twitch Contractile Kinetics in Both EDL and Soleus

In order to assess the effects of the complete removal of CASQ on the contractile performance of fast- and slow-twitch muscles, we dissected EDL and Soleus muscles from WT, CASQ1-null, and dCASQ-null mice and studied their function ex vivo. The altered kinetics profile of the contractile cycle previously described in CASQ1-null muscle [28] was also evident in dCASQ-null muscles. The changes included a significant prolongation of time-to-peak tension (i.e. from the stimulus to the tension peak) in EDL compared to WT, but also to CASQ1-null (Figure 5(a)). No prolongation of time-to-peak tension was seen in Soleus (Figure 5(b)). In addition, time to base (i.e., time elapsing from stimulus to the return to base line at the end of relaxation) was significantly prolonged in both EDL and Soleus muscles of knock-out mice compared to WT. The latter effect was more pronounced in dCASQ-null than in CASQ1-null mice (Figures 5(c) and 5(d)).

3.5. Ablation of CASQ Impaired the Ability of EDL, But Not of Soleus, to Maintain Tension during Tetanic Contraction

Isometric tension was determined in short fused isometric tetani with a duration just sufficient to reach peak tension (500 ms in EDL and 1 s in Soleus) and found significantly reduced in EDL, but not in Soleus muscles of CASQ1-null and dCASQ-null mice (not shown). However, the most interesting result was obtained when the duration of the tetanus was prolonged up to 2 seconds (Figure 6): in both CASQ1- and dCASQ-null EDL the residual tension declined dramatically (by about 80%) (Figures 6(a) and 6(b)), while in Soleus only a minor decline of developed tension occurred in the absence of CASQ (Figures 6(c) and 6(d)). Specifically, the tension decline of Soleus during a 2 s tetanus was approximately 15% in CASQ1-null and 25% in dCASQ-null.

A careful inspection of the traces showed in Figures 6(a) and 6(c) revealed that the kinetics of the rising phase of the isometric tetani were faster when CASQ is missing both in EDL and in Soleus. An increased early phase of Ca2+ release has been previously reported in fibers lacking CASQ isolated from dCASQ-null mice [29]. This effect can be related to the alterations of the twitch response. In agreement with the above observations, the amplitude of the twitch (measured as peak tension, not shown) was preserved, and the duration of the twitch (measured as time-to-peak and time-to-base line, Figure 5) was prolonged, thus allowing a faster tension development during repeated high frequency stimulation.

4. Discussion

Two isoforms, CASQ1 and CASQ2, are expressed in skeletal muscle fibers [18, 19], with CASQ1 and CASQ2 being more abundant in fast- and slow-twitch fibers, respectively [21]. The impact of their removal in different fiber types has not been investigated yet. In view of the possible diversity in Ca2+ handling between slow and fast muscles and to investigate how complete ablation of CASQ will affect the two different muscle types, we studied EDL and Soleus muscle in mice lacking both CASQ isoforms. The comparison of the structural and functional effect of the complete ablation of CASQ revealed two main distinctive features: (1) Soleus, but not EDL, shows a number of fibers with signs of structural degeneration (Figure 4); (2) EDL is unable to maintain active tension during a prolonged tetanus, while Soleus is only marginally affected (Figure 6). Both aspects require careful consideration.

4.1. Phenotype of dCASQ-Null Mice

Previous studies have shown that CASQ1-null mice are susceptible to spontaneous mortality and trigger MH-like episodes when exposed to either heat or anesthesia [32, 34]. CASQ2-null mice display frequent episodes of catecholaminergic polymorphic ventricular tachycardia (CPVT), which can be triggered by a catecholamine challenge with the β-adrenergic agonist isoproterenol [31]. dCASQ-null mice are viable, but present high frequency of spontaneous death in male mice, even higher than that previously registered in CASQ1-null animals [32] (Figure 2). The specific reason for the increased spontaneous mortality rate of dCASQ-null mice is still under investigation, since CPVT in mice lacking CASQ2 is not lethal [31]. Grip strength test confirmed a significant impairment of the overall neuromuscular function (Figure 3(b)), similar to that of CASQ1-null mice. The lack of a significant difference in grip strength between CASQ1- and dCASQ-null mice probably reflects the fact that murine muscles show a great predominance of fast fibers expressing exclusively CASQ1 [2]. Finally, dCASQ-null mice show a reduced body weight which can be likely ascribed to a decrease in skeletal muscle mass due to a myopathic phenotype [35].

4.2. Early Onset of a Myopathy in Soleus Fibers: A Possible Explanation

We have recently reported that isolated muscles (EDL), muscle fibers (from FDBs), and myotubes lacking CASQ1 present elevated basal cytosolic Ca2+ at body temperature [30, 32]. This abnormally high resting cytosolic Ca2+ causes abnormal development of muscle tension (contracture) when body temperature is raised above physiological values (39–41°C) [32]. This reaction to heat explains why CASQ1-null mice are susceptible to trigger lethal malignant hyperthermia (MH) like episodes when exposed to either high environmental temperatures or halogenated anesthetics [34]. In the present study we show that ~30% of Soleus fibers from dCASQ-null mice present clear evidence of the early onset of a myopathic phenotype, which is not as evident in EDL fibers at the same age (4–6 months, Figure 4). These alterations, which resemble those described in other murine models of MH and central core disease (CCD) [36, 37], were not seen in Soleus fibers of CASQ1-null mice, suggesting that the abundant expression of CASQ2 in slow fibers (Figure 1) prevents the onset of the pathology. Preliminary data from our laboratory shows that also EDL of CASQ1-null mice (where a minor amount of CASQ2 is expressed) will eventually develop a similar myopathy with increasing age [38]. This considered, the difference between the two muscles is that Soleus develops a myopathy at an earlier stage. The reason can be tentatively found in the different capabilities of EDL and Soleus to deal with removal of Ca2+ from cytosol and with SR Ca2+ leak.

In support to this view, it has been recently suggested that CASQ2 in slow muscle fibers may be important to prevent Ca2+ leakage [21]. The SR of slow fibers is saturated with Ca2+ at resting myoplasmic Ca2+ concentration, while the SR of fast fibers is only about one-third saturated with Ca2+ under equivalent conditions [21, 39]. Such difference implies that the rate of SR Ca2+ uptake in fast fibers is predominantly controlled by myoplasmic Ca2+, while in slow fibers is more likely limited by the Ca2+ concentration within the SR lumen [39]. The intraluminal Ca2+ concentration is likely increased when the buffering action of CASQ is missing in the Soleus of dCASQ-null mice, causing serious challenge to reuptake. This would in turn result in excessive SR Ca2+ leak and [Ca2+]i, which will ultimately lead to the structural decay. The dramatic prolongation of the time to base (i.e., relaxation duration) of Soleus lacking both CASQ isoforms is in agreement with the impaired Ca2+ reuptake.

4.3. The Capability to Sustain Tetanic Tension Is Impaired in EDL, But Not in Soleus

The complete removal of CASQ in double-null mice decreases the ability of the SR to store Ca2+ both in fast and in slow muscle fibers. Slow Soleus fibers, but not fast EDL fibers, are able to sustain tension during a prolonged contractions (Figure 6), due to specific feature of the Ca2+ kinetics as discussed here below. The RYR-mediated Ca2+ release from the SR is approximately two times greater in fast compared to slow fibers. The larger size of CRUs and the higher density of RYR1 and DHPR in fast fibers is instrumental to this [40, 41]. A greater Ca2+ release is needed in EDL fast fibers compared to Soleus slow fibers as the number of cytosolic Ca2+ binding sites is greater. In the first place, the troponin-C (TnC) isoform expressed in fast-twitch fibers presents two low affinity Ca2+ binding sites, whereas there is only one in the slow-twitch TnC isoform and, in addition, other cytosolic Ca2+ binding proteins must be saturated during the contractile cycle. Among them, there are parvalbumin, present at a concentration of 400–500 μmol/liter in fast fibers but not in slow fibers [42] and containing two Ca2+ binding sites, and SERCA1, with a concentration of 120 μmol/liter and two Ca2+ binding sites [40]. During a twitch (or the initial phase of a tetanus) the Ca2+ released can efficiently saturate TnC and SERCA and other minor Ca2+ buffers like Calmodulin, and the amount of 300–400 μmoles is likely to be sufficient, in agreement with published evidence [40, 43]. During a tetanic train of stimuli, more Ca2+ enters the cytosol through repeated releases, although the amplitude of the subsequent releases progressively decreases with the fifth release being only 10% of the first release [40, 43]. In order to sustain tension for more than one second, it is necessary to saturate also parvalbumin, a process occurring with a slower kinetics related to calcium replacement for magnesium [44]: fast fibers deprived of CASQ fails to maintain a prolonged tetanic tension, probably because the Ca2+ released is not sufficient to saturate all cytosolic calcium-binding proteins, parvalbumin among them, with the result of reducing the Ca2+ available for TnC, and therefore for tension generation. Conversely, a quite different scenario takes place in a typical slow fibers of Soleus where the lower SERCA density, the single low binding site of slow TnC, and, above all, the absence of parvalbumin [42] would prevent the tension decline observed in EDL. In this contest, very likely the minor reduction (~25%) in tetanic tension recorded in dCASQ-null Soleus (Figures 6(c) and 6(d)) could be almost completely ascribed to the presence of damaged fibers, which likely have compromised contractile function, and not to an insufficient amount of Ca2+ to activate contraction.

4.4. Conclusion Remarks

CASQ ablation has a differential effect in fast versus slow skeletal muscle fibers. Whereas in EDL CASQ is necessary to provide the large amount of Ca2+ required for a maximal sustained contraction, slow-twitch fibers are only moderately affected by the absence of CASQ during prolonged tetani. However, CASQ presence in Soleus seems necessary to help Ca2+ reuptake, reduce Ca2+ leakage, and control myoplasmic Ca2+, which otherwise will eventually lead to the early onset of a myopathy. In this aspect, slow fibers are reminiscent of cardiac myocytes where CASQ role is essential to control diastolic Ca2+ leakage [31]. These findings add novel information, which may help to better understand the differences in Ca2+ handling of fast and slow fibers and also offer new insights to unlock mechanisms leading to myopathies such as MH and CCD.

Abbreviations Used in the Paper

Ca2+:Calcium ions
CASQ1 and CASQ2:Skeletal and cardiac isoform of Calsequestrin
CCD:Central core disease
CRUs:Calcium release units
DHPR:Dihydropyridine receptors
EC Coupling:Excitation-contraction coupling
EDL:Extensor digitorum longus
EM:Electron microscopy
MH:Malignant hyperthermia
MHC:Myosin heavy-chain
RYR1:Ryanodine receptor type-1
SERCA:Sarcoendoplasmic reticulum Ca2+ ATP-ase
SR:Sarcoplasmic reticulum
TnC:Troponin-C
T-Tubule:Transverse tubule
WT:Wild type.

Acknowledgments

The authors thank Drs. P.D. Allen (Brigham & Women’s Hospital, Boston, MA) and B.C. Knollmann (Vanderbilt University, Nashville, TN) for providing the doubleCASQ-null mouse colony used in the experiments. The authors also thank Dante Tatone, Cosmo Rossi, and Marco Dainese for technical assistance with equipment and mice housing. This study was supported by Research Grant no. GGP08153 from the Italian Telethon ONLUS Foundation to F. Protasi and C. Reggiani. Paolini and M. Quarta contributed equally to the work.