Amphiura filiformis is a burrowing brittlestar, which extends arms in the water column when suspension feeding. In previous studies, unexpectedly high variability was observed in regeneration rate between individuals even when experiments were performed under identical conditions. The aims of this work were to understand this variability and interpret the observed variability in terms of adaptation to sublethal predation. Our experiments on the dynamics of arm regeneration in A. filiformis revealed that the developmental program during regeneration is well adapted to its burrowing life style. We demonstrate that there is a trade-off between regeneration in length and functional recovery for feeding (differentiation index). The amount of tissue lost (length lost), which represents the quantity of tissue needed to completely regenerate an intact arm with no previous history of regeneration, determines whether the arm will invest more energy in growth and/or in differentiation, which must be a reflection of the ability to differentially regulate developmental programs during regeneration. We show that combining regeneration rate with differentiation index provides an ideal tool for the definition of a standard temporal framework for both field and laboratory studies of regeneration.

The brittlestar Amphiura filiformis (Echinodermata) is remarkably well adapted to its habitat. It is the dominant species on many sublittoral soft bottoms down to 200 m depth in the North Sea and the Mediterranean(Rosenberg, 1995). In this environment, predation is the main selective pressure and several crustacean and fish species prey mainly on A. filiformis(Baden et al., 1990; Duineveld and Van Noort, 1986; Pihl, 1994). This brittlestar possesses several adaptations to face this biotic disturbance [i.e. removal of energy from an organism (Lawrence,1990; Lawrence,1991)] leading to a trade-off between feeding efficiency and predation avoidance (Rosenberg and Lundberg, 2004).

When suspension feeding, A. filiformis generally lives with its disc 4-8 cm below the sediment surface(Solan and Kennedy, 2002) and two arms extended into the water column(Woodley, 1975; Loo et al., 1996). When inactive, arm tips are kept at the sediment-water interface where chemo- and photoreceptors are thought to detect conditions for feeding: tidal currents,food concentration, etc. (Rosenberg and Lundberg, 2004).

During feeding, arms extended in the water column are easy prey for visual predators commonly present in the same habitat, e.g. Limanda limandaand Nephrops norvegicus. A. filiformis has developed several adaptations to reduce predation (Wilkie,1978; Bowmer and Keegan,1983; Herring,1995; Rosenberg and Selander,2000; Rosenberg and Lundberg,2004).

Nevertheless, sublethal predation is common in A. filiformis and more than 84% of individuals show signs of having been injured with more than 80% of arms showing at least one scar(Sköld and Rosenberg,1996). Since arms are needed for suspension feeding(Woodley, 1975), ventilation of the burrow (Nilsson, 1998; Nilsson, 1999) and as sensory organs (Rosenberg and Lundberg,2004), regeneration of this lost body part is essential for survival. It is probable that the most damaged arms are withdrawn inside the burrow and are replaced at the sediment surface by less damaged arms [theory of arm rotation (Makra and Keegan,1999)].

A. filiformis has high regenerative capacity and new functional tissues appear in only a few days following amputation(Mallefet et al., 2001; Thorndyke et al., 2003). A review of the literature reveals an unexpectedly high variability in the observed growth rate of the regenerate, even in experiments performed under similar temperature conditions. This rate ranges between 0.08 and 0.45 mm day-1 (Salzwedel,1974; Andreasson,1990; Nilsson and Sköld,1996; Sköld,1996; Sköld and Gunnarsson, 1996; Sköld and Rosenberg, 1996; Gunnarsson et al., 1999; Mallefet et al., 2001; Thorndyke et al., 2003; Selck et al., 2004).

The energy costs for regenerating a new arm are likely to be significant(Salzwedel, 1974; Bowmer and Keegan, 1983; Fielman et al., 1991; Stancyk et al., 1994; Pape-Lindstrom et al., 1997; Pomory and Lawrence, 1999; Pomory and Lawrence, 2001) and this energy can be allocated to two main processes: (1) growth in length with little differentiation and (2) differentiation of the regenerate (segmentation and development of podia and spines). We hypothesize that in a single arm there will be differential allocation of energy to these processes according to the length lost and thus the quantity and quality of tissue needed to regenerate that arm to its original intact length. This combination of parameters has never been taken into account in previous studies.

From an evolutionary and adaptive perspective, it must be important to have arms functional for feeding as soon as possible after autotomy. Some authors argue that in organisms such as a brittlestars, which need to reach the surface to feed (Salzwedel,1974; Stancyk et al.,1994), regeneration might sacrifice length to restore function as quickly as possible. However, the strategy may be different according to the level of autotomy. If autotomy occurs close to the disc, the individual will need to regenerate a complete full-length arm and might therefore invest more energy in growth rather than in differentiation (high growth rate and low differentiation rate) since a short functional arm is useless for feeding because it cannot extend far enough into the water column. However, if only the arm tip is lost, the energy should be invested in differentiation rather than in growth (low growth rate and high differentiation rate) because of the importance of the tip as a sensory organ.

In order to test these hypotheses and try to explain the high variability observed in previous studies, we investigated the influence of disc diameter,length lost and the ratio of length lost to the original intact length and on both growth and differentiation rates in A. filiformis arms.

Moreover, there has been an increasing interest in regeneration, largely because of potential clinical applications. Echinoderm models such as A. filiformis offer a unique opportunity, in an adult deuterostomian, to study differentiation of stem cells and the factors that induce or repress the expression of genes that control fate decisions during the process. Our results may guide future experimental designs by defining standard conditions for proteomic and genomic studies.

Sampling

Sediment containing Amphiura filiformis O. F. Müller was collected at 25-40 m depth, using a Petersen mud grab, in the vicinity of Kristineberg Marine Station, Sweden in January 2004. Individuals were immediately sampled from the sediment cores by gentle rinsing to avoid breaking arms and maintained in natural flowing seawater at 14°C with 1 cm of sieved sediment taken from the collection site. Animals were used 1 month after collection for the experiments.

Experiments

The experiments were carried out on intact specimens by selecting those individuals that showed no evidence of recent regeneration events and no apparent gonads. Experimentally induced amputations were performed on one or several arms after anaesthesia by immersion in 3.5% w/w MgCl2 in artificial seawater. Experimental arm amputation was achieved by gently applying a scalpel blade across a natural inter-vertebral autotomy plane. Two types of preparation were used in this study. (1) Whole animal, in which one arm was cut off at a measured distance from the disc. Animals were then kept for 4 weeks in a PVC aquarium supplied with flowing deep water at 14°C and containing sieved sediment from the sampling site. (2) The double amputated arm explant, which is a valuable model for studying regenerative mechanisms(Candia Carnevali et al.,1998). Explants are sections of arm isolated from the individual that are able to survive and regenerate for several months. Explants were kept in small aquaria containing a thin layer of sieved sediment in circulating deep seawater for 9 weeks.

Experiments were designed to test the influence of disc diameter, length lost and the ratio of length lost to the original intact length of the arm on regeneration rates (growth and differentiation).

Experiment 1 (whole animal)

One repetition with 100 intact individuals with disc diameters ranging from 3 to 6.2 mm was used. All arms possess the same regenerative capabilities(similar regeneration and differentiation rates if cut at the same distance from the tip; S. Dupont, personal observation) and for practical reasons, the first arm clockwise (oral side) to the madreporite was cut off at a distance(length lost, LL) between 5 and 60 mm from the arm tip(Fig. 1). Two arms of the same individual were cut off at 5 and 50 mm, respectively, and pictures of the regenerate were taken at 0, 3, 6, 12 and 19 days of regeneration.

Experiment 2 (explant)

Five explants each of 10 mm length were removed from the same arm of 10 intact animals at distances between 15 and 65 mm from the tip (length lost,LL) (Fig. 2). This experiment was repeated once.

Regular (weekly) checks were made to ensure that no spontaneous autotomy occurred in arms or explants during experiments.

Measurements

Several measurements were made on intact individuals using a graduated ocular in binocular microscope (0.1 mm accuracy): disc diameter, intact arm length and length of each segment. At the beginning of the experiment, LL was also measured (see above). When the regenerate started to differentiate it was possible to divide it into two distinct parts: the proximal differentiated part, comprising fully formed segments with clearly developed ossicles, podia and spines, and the distal part that remained undifferentiated with no, or only poorly defined, spines or ossicles(Fig. 3). In both explants and whole animal regenerates, the total regenerated length (RL in mm) and the differentiated length (DL in mm) of each regenerate was measured each week. See Table 1 for details and summary of abbreviations used.

Table 1.

Summary of measured and calculated parameters

ParameterUnitDescription
Measured   
DL mm Differentiated length: length of the regenerate completely differentiated(with podia and spines fully formed) 
LL mm Length lost: length of the removed part of an intact arm between the tip and the amputation plane 
RL mm Regenerated length; total length of the regenerate 
Calculated   
DI Differentiation index: ratio between DL and RL, representing the percentage of the regenerate length, which is completely differentiated (0, no differentiation; 100, completely differentiated). Indicator of functional recovery 
DR1 mm week−1 Differentiation rate 1: length of arm completely differentiated (with podia and spines fully formed) regenerated per week 
DR2 % week−1 Differentiation rate 2: percentage of the regenerate length completely differentiated each week or functional recovery of the regenerate per week 
RR mm week−1 Regeneration rate: length of arm regenerated per week 
ParameterUnitDescription
Measured   
DL mm Differentiated length: length of the regenerate completely differentiated(with podia and spines fully formed) 
LL mm Length lost: length of the removed part of an intact arm between the tip and the amputation plane 
RL mm Regenerated length; total length of the regenerate 
Calculated   
DI Differentiation index: ratio between DL and RL, representing the percentage of the regenerate length, which is completely differentiated (0, no differentiation; 100, completely differentiated). Indicator of functional recovery 
DR1 mm week−1 Differentiation rate 1: length of arm completely differentiated (with podia and spines fully formed) regenerated per week 
DR2 % week−1 Differentiation rate 2: percentage of the regenerate length completely differentiated each week or functional recovery of the regenerate per week 
RR mm week−1 Regeneration rate: length of arm regenerated per week 
Fig. 1.

Amphiura filiformis. Diagram of the whole animal experiment; LL,length lost, which ranged between 5 and 60 mm.

Fig. 1.

Amphiura filiformis. Diagram of the whole animal experiment; LL,length lost, which ranged between 5 and 60 mm.

Calculations and statistics

Regeneration rate (RR, in mm week-1) was calculated as the slope of the significant simple linear regression between the regenerated length (RL in mm) and time (in weeks). A differentiation index, (DI as a percentage), was calculated as the proportion in length of the regenerate that is completely differentiated (0 if the regenerate is completely undifferentiated and 100% if the arm is completely differentiated): DI=(DL/RL)×100. According to morphological and physiological studies, DI is a good indicator of functional recovery of the tissue, this index being correlated to the timing of neuropeptide expression and physiological recovery of the nervous system (S. Dupont, personal observation).

Two types of differentiation rate can be calculated: DR1 (in mm week-1), calculated as the slope of the significant(P<0.05) simple linear regression between length of the regenerate completely differentiated (DL in mm) and time (in week); and DR2 (in% week-1), calculated as the slope of the significant(P<0.05) simple linear regression between differentiation index(DI in %) and time (in weeks). Simple linear, power, logarithmic and exponential regression models were used to test the relationship type between the variables. The Shapiro-Wilk test(Shapiro and Wilk, 1965) was used to check that the data were normally distributed and the Levene test was used to check that variances were homogenous. All statistical analyses were performed using SAS/STAT®software (SAS Institute Inc., 1990).

Fig. 2.

Amphiura filiformis. Diagram of the explant experiment; LL, length lost, which ranged between15 and 65 mm. All scale bars represent 10 mm.

Fig. 2.

Amphiura filiformis. Diagram of the explant experiment; LL, length lost, which ranged between15 and 65 mm. All scale bars represent 10 mm.

Fig. 3.

Regenerating arm of Amphiura filiformis. The new arm has extended in length and is clearly distinguishable from the older stump. The demarcation between the proximal differentiated part (with ossicles, podia and spines) and the distal undifferentiated part is indicated by a dotted line. DL,differentiated length (in mm); RL, regenerated length (in mm).

Fig. 3.

Regenerating arm of Amphiura filiformis. The new arm has extended in length and is clearly distinguishable from the older stump. The demarcation between the proximal differentiated part (with ossicles, podia and spines) and the distal undifferentiated part is indicated by a dotted line. DL,differentiated length (in mm); RL, regenerated length (in mm).

Intact individuals (without any scar or colour difference along the arm,which indicate recent autotomy or regeneration events) with larger discs possessed longer arms, and a significant linear regression(P<0.01) was observed between the disc diameter and the size of an intact arm before amputation (Fig. 4). A brittlestar arm comprises a series of segments and the length of each segment varies according to its position on the arm. Segments closer to disc are larger than those at the tip. In A. filiformis,the size of segments increases significantly from distal to proximal position following a significant power regression (P<0.01; Fig. 5).

All cut arms and all explants regenerated following the same sequence. The initial response involved the formation of a wound epidermis followed by a blastema of undifferentiated cells. In the ensuing days, the regenerating arm tips increased in length to produce a thinner replicate arm with ossicles developing proximally while the distal tip remained undifferentiated(Fig. 3). Regenerative processes only occurred in the distal part of the explants. No regeneration was observed proximally.

Experiment 1

Significant variability was detected at each observation period each week for the regenerate length (RL), the length of the regenerate completely differentiated (DL) and the differentiation index (DI). Three parameters were analysed in order to explain this variability: disc diameter, length lost (LL)and the ratio of LL to original intact arm length. No significant relationship was found between RL, DL or DI and disc diameter, ratio of LL to intact arm length or time (P>0.05; not shown). At each observation period(each week from 1 to 4 weeks), a significant linear relationship(P<0.05) was observed between the LL and RL. Therefore, the regeneration rate (RR) was estimated as the slope of the significant linear correlations observed between the time (in weeks) and regenerate size (in mm)for different LL. This RR increased exponentially from 0.6 to 3.3 mm week-1 when the LL increased from 5-60 mm (P<0.01; Fig. 6). DR1 (in mm week-1) increased with LL following a logarithmic curve(P<0.01; Fig. 7). The observed variability for DR2 (in % week-1) can also be explained by a significant negative linear regression (P<0.01)with the LL (Fig. 8).

In consequence, the size and differentiation of an arm will differ according to the LL. The relationship between growth and differentiation is summarized in Fig. 9. This figure indicates that for the same regenerate size, each can have very different degrees of differentiation according to the LL. For example, the DI of a 5 mm regenerate varied between 25 and 100% if the LL ranged between 60 and 5 mm, respectively. On the other hand, the same DI can be observed for regenerates of very different sizes. Arms with a 50% DI can have a size between 2 and 10 mm if the LL varies between 5 and 60.

To illustrate this point, two arms from each of two animals with the same disc diameter (4.5 mm) were cut off, one at 5 mm and the other at 50 mm from the tips. Photographs were taken after 3, 6, 12 and 19 days(Fig. 10).

Fig. 4.

Non-regenerating arm of Amphiura filiformis. Relationship between the disc diameter (in mm) and the maximal length (in mm) of the intact arm before amputation.

Fig. 4.

Non-regenerating arm of Amphiura filiformis. Relationship between the disc diameter (in mm) and the maximal length (in mm) of the intact arm before amputation.

Fig. 5.

Relationship between the position (number of segments from distal to proximal) and the length (in mm) of a segment on a non-regenerating arm.

Fig. 5.

Relationship between the position (number of segments from distal to proximal) and the length (in mm) of a segment on a non-regenerating arm.

Experiment 2

10 mm explants cut from different regions of the same arm were followed for 9 weeks. Even though the RR were 10 times lower than those observed in the whole animal experiments, a similar significant exponential correlation(P<0.01) was observed between LL and RR [calculated as the slope of the significant correlation (P<0.05) between the size of the regenerate and time for different classes of size to regenerate; Fig. 11]. Thus explants cut closer to the disc regenerated more rapidly than those cut close to the tip. No clear differentiation was observed after 9 weeks. This indicated that even when isolated from the individual, positional information (LL) is present in the arm.

Fig. 6.

Relationship between the length lost (LL; in mm) and regeneration rate (RR;in mm week-1).

Fig. 6.

Relationship between the length lost (LL; in mm) and regeneration rate (RR;in mm week-1).

Adaptation to sublethal predation as a biotic disturbance

Our experiments on dynamic arm regeneration in A. filiformisindicate that the length lost (LL) is a key factor that can explain the significant variability observed for both growth and differentiation rates of the regenerates. We have found a positive exponential relationship between length lost and regeneration rate (RR), a positive logarithmic relationship between length lost and differentiation rate 1 (DR1), an indicator of the speed of differentiation and a negative exponential relationship between the length lost and differentiation rate 2 (DR2), an indicator of the speed of functional recovery (S. Dupont, unpublished). In consequence, arms autotomized close to the disc regenerate faster in length (both regenerated length, RL,and differentiated length, DL) than those cut close to the tip, although overall functional recovery of the arm (measured as DR2) is delayed.

This variation in regeneration and differentiation rates could reflect a valuable adaptation to biotic disturbance: according to the amount of tissue lost, the arm will invest more energy either in growth or in differentiation. An arm cut at the tip is still able to extend into the water column for feeding but lacks essential sensory organs located at the tip(Rosenberg and Lundberg,2004). Investing energy in rapid differentiation leads to a rapid recovery of this functionality and the autotomized arm is quickly functional for feeding. By contrast if an arm is cut close to the disc, rapid differentiation is useless since a short functional arm is not able to reach the water column for feeding. It is then of more adaptive value to invest energy for growth in length rather than differentiation to functional recovery.

Fig. 7.

Relationship between the length lost (LL; in mm) and the differentiation rate (DR1; in mm week-1).

Fig. 7.

Relationship between the length lost (LL; in mm) and the differentiation rate (DR1; in mm week-1).

Fig. 8.

Relationship between the length lost (LL; in mm) and the differentiation rate (DR2; in % week-1).

Fig. 8.

Relationship between the length lost (LL; in mm) and the differentiation rate (DR2; in % week-1).

Fig. 9.

Relationship between the size of the regenerate (in mm) and its differentiation index (DI; in %) for different lengths lost (LL; ranged between 5 and 60 mm).

Fig. 9.

Relationship between the size of the regenerate (in mm) and its differentiation index (DI; in %) for different lengths lost (LL; ranged between 5 and 60 mm).

This repartition of energy represents a trade-off between two different adult developmental programmes (growth per se and differentiation/maturation). A similar trade-off was observed in nutrient-free condition for another burrowing brittlestar, Microphiopholis gracillima. Fielman et al. showed that in starved animals, allocation of energy and the pattern of regeneration are affected by both the quantity and type of tissue lost (Fielman et al.,1991). If enough tissue (including disc) is removed, animals will adopt a `minimal functional configuration' to allow construction of its respiration and feeding burrows and to digest food.

A. filiformis appears to be well adapted to predation in both quantitative and qualitative aspects of energy allocation. Quantitatively in natural conditions, energy allocation is not dependent on the number of arms lost. The same quantity of energy is allocated (from both the remaining proximal part of the arm and the disc) irrespective of whether one or more arms are lost (Nilsson, 1998; Nilsson, 1999). Nevertheless,we have demonstrated that a qualitative difference in how this energy is allocated (growth versus differentiation) is correlated with the quantity of tissue lost (LL) in a single arm. From this qualitative point of view, the observed trade-off between growth and differentiation during regeneration is a perfect balance between costs and benefits that has been selected by a long history of sublethal predation in A. filiformis.

Fig. 10.

Comparison of regenerate at different times of regeneration and two different amputation levels (5 and 50 mm; measured as length lost; LL). The differentiation index (DI; in %) is given below each image. ap, amputation plane. The first difference was observed on day 6, when the blastema was longer for the arm amputated at 50 mm from the tip. After 12 days, important differences in both size and differentiation were observed. The arms cut at 5 mm from the tip regenerated a smaller arm (1.2 mm), which had already started to differentiate complete segments with spines and tube feet while arms cut at 50 mm from the tip regenerated a longer arm (2 mm) but no complete segments were formed. These differences were amplified after 19 days. The regenerate was three times longer for the arm cut at 50 mm from the tip but less differentiated (DI of 45% versus 70%) than the one cut at 5 mm from the tip.

Fig. 10.

Comparison of regenerate at different times of regeneration and two different amputation levels (5 and 50 mm; measured as length lost; LL). The differentiation index (DI; in %) is given below each image. ap, amputation plane. The first difference was observed on day 6, when the blastema was longer for the arm amputated at 50 mm from the tip. After 12 days, important differences in both size and differentiation were observed. The arms cut at 5 mm from the tip regenerated a smaller arm (1.2 mm), which had already started to differentiate complete segments with spines and tube feet while arms cut at 50 mm from the tip regenerated a longer arm (2 mm) but no complete segments were formed. These differences were amplified after 19 days. The regenerate was three times longer for the arm cut at 50 mm from the tip but less differentiated (DI of 45% versus 70%) than the one cut at 5 mm from the tip.

Origin of the variability

An important question raised from the observation that length lost has a huge impact on both growth and differentiation of the regenerating tissue is the origin of the information, or signal, that relates to the size of a lost body part?

The normal sequence of fundamental repair/regenerative events (cell proliferation, migration and differentiation) in the majority of animal models appears to depend on a crucial contribution from the nervous system(Brockes, 1987; Ferreti and Géraudie,1998). In echinoderms, the nervous system plays several roles in regeneration: (1) promoter/inducer of regenerative process; (2) source of cells (many of which, although non-neural, are associated with the nervous system); and (3) source of regulatory factors(Candia Carnevali and Bonasoro,1994; Candia Carnevali et al.,1995; Candia Carnevali et al.,1996; Candia Carnevali et al.,1997; Candia Carnevali et al.,1998). If neurally secreted factors are responsible for our observed differences in growth versus differentiation, it is possible to hypothesize that growth and/or differentiation rates could be proportional to the concentration and/or identity of one or several of these factors. Concentration may be simply linked to the size of the neural cord at the position of autotomy, more tissue being able to produce more growth factors(morphological gradient hypothesis). We have shown that in A. filiformis the size of an segment is correlated to its distance from the tip on a non regenerating arm (Fig. 5). Moreover, the volume of the internal structures (e.g. radial nerve) in an segment is directly proportional to the size of the segment (S. Dupont, unpublished). Based on current data, we can infer that, (1) growth rate is exponentially related to the size of the segment at the position of autotomy and (2) differentiation rate is correlated to the size of the segment at the position of autotomy following a linear function. These relationships suggest that the differentiation is linked to the size of internal structures such as nerve cord, coelom or muscles in the non-regenerating segments close to the amputation plane and then the quantity and/or quality of secreted growth factors (Thorndyke and Candia Carnevali, 2001).

Fig. 11.

Relationship between the length lost (LL; in mm) and the regeneration rate(RR; in mm week-1) on growing explants.

Fig. 11.

Relationship between the length lost (LL; in mm) and the regeneration rate(RR; in mm week-1) on growing explants.

Another hypothesis to explain the origin of the observed differences in growth and differentiation rates according to the size to be regenerated is the presence of a proximal-distal chemical gradient in the arm induced and maintained by one or several specific sites (organizers) such as that observed in Hydra (Holstein et al.,2003).

Arm explants are a simplified and controlled regenerating system which may be useful in regeneration experiments by providing a valuable test of our hypothesis in terms of mechanisms and processes(Candia Carnevali et al.,1998). In A. filiformis, isolated explants underwent similar differential energy allocation to growth as those observed with whole individuals. Explants cut closer to the disc regenerated more rapidly than those cut close to the tip. In explants, growth rates were 10 times slower than those observed in whole animal experiments. This observation is not surprising since explants are not able to acquire energy from food or receive allocation of stored reserve from disc and/or arms as is observed for whole individuals (Nilsson, 1998; Nilsson, 1999). All the energy involved in regeneration is limited to the stored energy of the explant itself. Moreover, in crinoids, regeneration is largely dependent on migratory stem cells (coelomocytes and amoebocytes) than can originate far from the regenerating site (Candia Carnevali and Bonasoro, 1994). In consequence, the number of cells available for the development of a blastema is likely to be far less in an explant than in complete individuals. This limitation leads to the recruitment of myocytes(Candia Carnevali et al.,1998), although this alternative mechanism does not compensate for the difference in growth rate between explant and whole individuals. As also observed in crinoids (Candia Carnevali et al., 1998), A. filiformis explant blastemal regeneration appears to be directional and a strict proximal-distal axis is maintained. The isolated explant underwent regenerative processes similar to those of its respective donor arm on the distal part but not on the proximal part, where processes stopped after the repair stage and no blastema is formed. This too must have significant implications for the presence of developmental factors that regulate positional information such as segment polarity genes.

Consequences on further research

Our results have several implications for regeneration research in general(standardization, plasticity, etc.) and it seems important to re-visit regeneration in A. filiformis and other brittlestars.

An unexpectedly high variability in the observed regeneration rate, is the rule in brittle star regeneration(Salzwedel, 1974; Andreasson, 1990; D'Andréa et al., 1996; Nilsson and Sköld, 1996; Sköld, 1996; Sköld and Gunnarsson,1996; Sköld and Rosenberg, 1996; Gunnarsson et al., 1999; Mallefet et al.,2001; Thorndyke et al.,2003; Selck et al.,2004) and can mask many of the differences among the treatments(D'Andréa et al., 1996)or lead to contradictory results(Gunnarsson et al., 1999; Selk et al., 2004; Granberg, 2004). Our results demonstrate that taking into account the length lost on one arm is a simple and tractable way to standardize experiments and thus significantly decrease the variability of studied parameters (e.g. regeneration rate). Moreover, differentiation rate (DR1 or DR2) is also a parameter that can be influenced by environmental factors and therefore this too should be integrated in further studies; for example, acute and chronic toxicity tests recently developed using echinoderm regeneration(Walsh et al., 1986; Gunnarsson et al., 1999; D'Andréa et al., 1996; Novelli et al., 2002; Candia Carnevali et al.,2001a; Candia Carnevali et al., 2001b; Candia Carnevali et al., 2003; Selck et al.,2004; Granberg,2004; Barbaglio et al.,2004).

Time of regeneration is the classical parameter used in molecular,cellular, histological, dynamics and ecological studies of this capacity in A. filiformis (Mallefet et al.,2001; Patruno et al.,2001; Thorndyke et al.,2001; Thorndyke et al.,2003; Bannister et al.,2005). A further consequence of this trade-off between growth and differentiation is that a regenerate of the same size and/or same regeneration time can present very different characteristics in terms of differentiation and functional recovery according to the position of autotomy along the arm. In consequence, the use of time of regeneration is inappropriate, especially in dynamic studies. This can be illustrated by studies on the dynamics of functional regeneration using natural bioluminescence (i.e. the emission of visible light by living organisms). A huge and unexpected variability was observed between the percentage of bioluminescence recovery and time of regeneration (Mallefet et al.,2001; Thorndyke et al.,2003). Similar experiments taking into account our results in the analysis lead to a significant decrease of the variability and more consistent results (S. Dupont, personal observation).

Our results are currently guiding future experimental designs by defining standard conditions for proteomic and genomic studies in progress in our laboratory. They provide a valuable tool for further molecular studies. Manipulation of the length lost will allow the study of regeneration in different cellular and tissue environments (regulation of the trade-off between proliferative growth and differentiation) and the assessment of the impact of individual growth/regulatory factors on this phenomenon. Our results give, for the first time a temporal framework for the analysis of regeneration dynamics.

The authors are very grateful to Dr P. Martinez for fruitful discussions and for providing helpful comments on this manuscript. This work is supported by VR (Swedish Research Council) EU RTNZ-2001-00029, Network of Excellence Marine Genomics Europe GOCE-04-505403 and the Royal Swedish Academy of Sciences.

Andreasson, M. (
1990
).
Regenerationshastighet hos Amphiura filiformis (Ophiuroidea:Echinodermata). MS thesis
, University of Göteborg,Göteborg, Sweden.
Baden, S. P., Loo, L. O., Pihl, L. and Rosenberg, R.(
1990
). Effects of euthrophication on benthic communities including fish: Swedish West coast.
Ambio
19
,
113
-122.
Bannister, R., McGonnell, I. M., Graham, A., Thorndyke, M. C. and Beesley, P. W. (
2005
). Afuni, a novel transforming growth factor-β gene is involved in arm regeneration by the brittle star Amphiura filiformis.
Dev. Genes Evol.
215
,
393
-401.
Barbaglio, A., Sugni, M., Mozzi, D., Invernizzi, A., Doria, A.,Pacchetti, G., Tremolada, O., Bonasoro, F. and Candia Carnevali, M. D.(
2004
). Exposure effects of organotin compounds (TPT-Cl) on regenerative potential of crinoids. In
Echinoderms:München
(ed. T. Heinzeller and J. H. Nebelsick), pp.
91
-95. London: Taylor & Francis Group.
Bowmer, T. and Keegan, B. F. (
1983
). Field survey of the occurrence and significance of regeneration in Amphiura filiformis (Echinodermata: Ophiuroidea) from Galway Bay, west coast of Ireland.
Mar. Biol
.
74
,
65
-71.
Brockes, J. P. (
1987
). The nerve dependence of amphibian limb regeneration.
J. Exp. Biol.
132
,
79
-91.
Candia Carnevali, M. D. and Bonasoro, F.(
1994
). Mechanisms of arm regeneration in Antedon mediterranea (Echinodermata, Crinoidea).
Anim. Biol
.
3
,
83
-88.
Candia Carnevali, M. D., Bonasoro, F., Lucca, E. and Thorndyke,M. C. (
1995
). Pattern of cell proliferation in the early stages of arm regeneration in the feather star Antedon mediterranea.
J. Exp. Zool.
272
,
464
-474.
Candia Carnevali, M. D., Bonasoro, F., Invernizzi, R., Lucca,E., Welsch, U. and Thorndyke, M. C. (
1996
). Tissue distribution of monoamine neurotransmitter in normal and regenerating arms of the feather star Antedon mediterranea.
Cell Tissue Res
.
285
,
341
-352.
Candia Carnevali, M. D., Bonasoro, F. and Biale, A.(
1997
). Pattern of bromodeoxyuridine incorporation in the advanced stages of arm regeneration in the feather star Antedon mediterranea.
Cell Tissue Res
.
289
,
363
-374.
Candia Carnevali, M. D., Bonasoro, F., Patruno, M. and Thorndyke, M. C. (
1998
). Cellular and molecular mechanisms of arm regeneration in crinoid echinoderms: the potential of arm explants.
Dev. Genes Evol
.
208
,
421
-430.
Candia Carnevali, M. D., Bonasoro, F., Patruno, M., Thorndyke,M. C. and Galassi, S. (
2001a
). PCB exposure and regeneration in crinoids (Echinodermata).
Mar. Ecol. Prog. Ser
.
215
,
155
-167.
Candia Carnevali, M. D., Galassi, S., Bonasoro, F., Patruno, M. and Thorndyke, M. C. (
2001b
). Regenerative response and endocrine disrupters in crinoid echinoderms: arm regeneration in Antedon mediterranea after experimental exposure to polychlorinated biphenyls.
J. Exp. Biol.
204
,
835
-842.
Candia Carnevali, M. D., Bonasoro, F., Ferreri, P. and Galassi,S. (
2003
). Regenerative potential and effect of exposure to pseudo-estrogenic contaminants (4-nonylphenol) in the crinoid Antedon mediterranea. In
Echinoderm Research 2001
(ed. J. P. Feral and B. David), pp.
201
-207. Lisse: Swets& Zeitlinger.
D'Andréa, A. F., Stancyk, S. E. and Chandler, G. T.(
1996
). Sublethal effects of cadmium on arm regeneration in the burrowing brittlestar, Microphiopholis gracillima.
Ecotoxicology
5
,
115
-133.
Duineveld, G. C. A. and Van Noort, G. J.(
1986
). Observation of the population dynamics of Amphiura filiformis (Ophiuroidea: Echinodermata) in the Southern North Sea and its exploitation by the dab, Limanda limanda.
Neth. J. Sea Res
.
20
,
85
-94.
Ferreti, P. and Géraudie, J. (
1998
).
Cellular and Molecular Basis of Regeneration: From Invertebrates to Humans
. Chichester: Wiley.
Fielman, K. T., Stancyk, S. E., Dobson, W. E. and Clements, L. A. J. (
1991
). Effects of disc and arm loss on regeneration by Microphiopholis gracillima (Echinodermata: Ophiuroidea) in nutrient-free seawater.
Mar. Biol
.
111
,
121
-127.
Granberg, M. E. (
2004
).
Role of Sediment Organic Matter Quality and Benthic Organisms for the Fate of Organic Contaminants in Marine Systems. PhD thesis
, Goteborg University,Göteborg, Sweden.
Gunnarsson, J. S., Granberg, M. E., Nilsson, H. C., Rosenberg,R. and Hellman, B. (
1999
). Influence of sediment-organic matter quality on growth and polychlorobiphenyl bioavailability in Echinodermata (Amphiura filiformis).
Environ. Toxicol. Chem
.
18
,
1534
-1543.
Herring, P. J. (
1995
). Bioluminescent echinoderms: unity of function in diversity of expression? In
Echinoderm Research 1995
(ed. R. H. Emson, A. B. Smith and A. C. Campbell), pp.
9
-17. Rotterdam:Balkema.
Holstein, T. W., Hobmayer, E. and Technau, U.(
2003
). Cnidarians: an evolutionarily conserved model system for regeneration?
Dev. Dyn
.
226
,
257
-267.
Lawrence, J. M. (
1990
). The effect of stress and disturbance on echinoderms.
Zool. Sci
.
7
,
17
-28.
Lawrence, J. M. (
1991
). Analysis of characteristics of echinoderms associated with stress and disturbance. In
Biology of Echinodermata
(ed. T. Yanasigawa, I. Yasumasu, C. Oguro, N. Suzuki and T. Motokawa), pp.
11
-21. Rotterdam: Balkema.
Loo, L. O., Jonson, P. R., Sköld, M. and Karlsson, O.(
1996
). Passive suspension feeding in Amphiura filiformis (Echinodermata: Ophiuroida): feeding behaviour in flume flow and potential feeding rate of field populations.
Mar. Ecol. Prog. Ser
.
139
,
143
-155.
Makra, A. and Keegan, B. F. (
1999
). Arm regeneration in Acrocnida brachiata (Ophiuroidea) at Little Killary,west coast of Ireland.
Biol. Environ
.
99B
,
95
-102.
Mallefet, J., Dewael, Y., Dupont, S., Patruno, M. and Thorndyke,M. C. (
2001
). Functional approach to regeneration in the brittlestar Amphiura filiformis (O. F. Müller). In
Echinoderms 2000
(ed. M. Barker), pp.
301
-304. Lisse: Swets & Zeitlinger.
Nilsson, H. C. (
1998
).
Marine Benthic Macrofaunal Response to Oxygen Deficiency. PhD thesis
,Goteborg University, Göteborg, Sweden.
Nilsson, H. C. (
1999
). Effect of hypoxia and organic enrichment on growth of the brittlestars Amphiura filiformis(O. F. Müller) and Amphiura chiajei (Forbes).
J. Exp. Mar. Biol. Ecol
.
237
,
11
-30.
Nilsson, H. C. and Sköld, M. (
1996
). Arm regeneration and spawning in the brittle star Amphiura filiformis (O. F. Müller) during hypoxia.
J. Exp. Biol. Ecol.
199
,
193
-206.
Novelli, A. A., Argese, E., Tagliapietre, D., Bettiol, C. and Volpi Ghirardini, A. (
2002
). Toxicity of tributyltin and triphenyltin to early life-styles of Paracentrotus lividus(Echinodermata: Echinoidea).
Environ. Toxicol. Chem
.
21
,
859
-864.
Pape-Lindstrom, P. A., Feller, R. J., Stancyk, S. E. and Woodin,S. A. (
1997
). Sublethal predation: field measurements of arm tissue loss from the ophiuroid Microphiopholis gracillima and immunochemical identification of its predators in North Inlet, South California, USA.
Mar. Ecol. Prog. Ser
.
156
,
131
-140.
Patruno, M., Thorndyke, M. C., Candia Carnevali, M. D.,Bonasoro, F. and Beesley, P. (
2001
). Changes in ubiquitin conjugates and Hsp72 levels during arm regeneration in echinoderms.
Mar. Biotechnol
.
3
,
4
-15.
Pihl, L. (
1994
). Changes in the diet of demersal fish due to eutrophication-induced hypoxia in the Kattegat, Sweden.
Can. J. Fish. Aquat. Sci
.
51
,
321
-336.
Pomory, C. M. and Lawrence, J. M. (
1999
). Effect of arm regeneration on energy storage and gonad production in Ophiocoma echinata (Echinodermata: Ophiuroidea).
Mar. Biol
.
135
,
57
-63.
Pomory, C. M. and Lawrence, J. M. (
2001
). Arm regeneration in the field in Ophiocoma echinata (Echinodermata:Ophiuroidea): effects on body composition and its potential role in a reef food web.
Mar. Biol
.
139
,
661
-670.
Rosenberg, R. (
1995
). Benthic marine fauna structured by hydrodynamic processes and food availability.
Neth. J. Sea Res
.
34
,
303
-317.
Rosenberg, R. and Lundberg, L. (
2004
). Photoperiodic activity pattern in the brittle star Amphiura filiformis.
Mar. Biol
.
145
,
651
-656.
Rosenberg, R. and Selander, E. (
2000
). Alarm signal response in the brittle star Amphiura filiformis.
Mar. Biol
.
136
,
43
-48.
Salzwedel, H. (
1974
). Arm-regeneration bei Amphiura filiformis (Ophiuroidea).
Veröff. Inst. Meeresforsch. Bremerhaven
14
,
161
-167.
SAS Institute Inc (
1990
).
SAS/STAT User's Guide
, Version 6 (4th edn). Cary: SAS Institute.
Selck, H., Granberg, M. E. and Forbes, V. E.(
2004
). Impact of sediment organic matter quality on the fate and effects of fluoranthene in the infaunal brittle star Amphiura filiformis.
Mar. Environ. Res
.
59
,
19
-46.
Shapiro, S. S. and Wik, M. B. (
1965
). An analysis of variance test for normality (complete samples).
Biometrika
52
,
591
-611.
Sköld, M. (
1996
).
Population Dynamics, Growth, Feeding and Predator-Prey Interactionsi in Brittle Stars. PhD thesis
, Goteborg University, Göteborg,Sweden.
Sköld, M. and Gunnarsson, J. S. G. (
1996
). Somatic and germinal growth of the infaunal brittle star Amphiura filiformis and A. chiajei in response to organic enrichment.
Mar. Ecol. Prog. Ser
.
142
,
203
-214.
Sköld, M. and Rosenberg, R. (
1996
). Arm regeneration frequency in eight species of ophiuroidea (Echinodermata) from European sea areas.
J. Sea Res
.
35
,
353
-362.
Solan, M. and Kennedy, R. (
2002
). Observation and quantification of in situ animal-sediment relations using tome-lapse sediment profile imagery (t-SPI).
Mar. Ecol. Prog. Ser
.
228
,
179
-191.
Stancyk, S. E., Golde, H. M., Pape-Lindstrom, P. A. and Dobson,W. E. (
1994
). Born to lose. I. Measures of tissue loss and regeneration by the brittlestar Microphiopholis gracillima(Echinodermata: Ophiuroidea).
Mar. Biol
.
118
,
451
-462.
Thorndyke, M. C. and Candia Carnevali, M. D.(
2001
). Regeneration neurohormones and growth factors in echinoderms.
Can. J. Zool
.
79
,
1
-38.
Thorndyke, M. C., Patruno, M., Dewael, Y., Dupont, S. and Mallefet, J. (
2003
). Regeneration in the ophiuroid Amphiura filiformis: cell biology, physiology and bioluminescence. In
Echinoderm Research 2001
(ed. J. P. Feral and B. David), pp.
193
-199. Lisse: Swets &Zeitlinger.
Walsh, G. E., McLaughlin, L. L., Louie, M. K., Deans, C. H. and Lores, E. M. (
1986
). Inhibition of arm regeneration in(Echinodermata, Ophiuroidea) by tributyltin oxide and triphenyltin oxide.
Ecotoxicol. Environ. Saf
.
12
,
95
-100.
Wilkie, I. C. (
1978
). Arm autotomy in brittlestars (Echinodermata: Ophiuroidea).
J. Zool. Lond
.
186
,
311
-330.
Woodley, J. D. (
1975
). The behaviour of some amphiurid brittle-stars.
J. Exp. Mar. Biol. Ecol.
18
,
29
-46.