Müllerian inhibiting substance in reproduction and cancer.

During embryogenesis normal male phenotypic development requires the action of Müllerian Inhibiting Substance (MIS) which is secreted by Sertoli cells of the fetal testis. As testes differentiate in genetic (XY) males, they produce MIS which causes regression of the Müllerian ducts, the anlagen of the female reproductive tract. Soon thereafter, testicular androgens stimulate the Wolffian ducts. In females, on the other hand, MIS is not produced by grandulosa cells until after birth, before which, estrogens induce Müllerian duct development, while the Wolffian ducts passively atrophy in the absence of androgenic stimulation. High serum MIS levels in males are maintained until puberty, whereupon they fall to baseline levels. In females MIS is undetectable in serum until the peripubertal period when values approach the baseline levels of males. This distinct pattern of sexual and ontogenic expression presupposes and requires tight regulation. MIS may play a role in gonadal function and development. Our laboratory has shown that an important role for ovarian MIS is to inhibit oocyte meiosis, perhaps providing maximal oocyte maturation prior to selection for ovulation and subsequent fertilization. Furthermore, Vigier et al. (Development 100:43-55) have recently obtained evidence that MIS may influence testicular differentiation, coincident with inhibition of aromatase activity. Current structure-function studies demonstrate that MIS, like other growth regulators in its protein family, requires proteolytic cleavage to exhibit full biological activity. MIS can be inhibited by epidermal growth factor. This antagonism, which is common to all MIS functions so far investigated, is associated with inhibition of EGF receptor autophosphorylation. We have provided evidence that bovine MIS can inhibit female reproductive tract tumors arising in adults.(ABSTRACT TRUNCATED AT 250 WORDS)     

Cellular mechanisms of Müllerian duct formation in the mouse

Regardless of their sex chromosome karyotype, amniotes develop two pairs of genital ducts, the Wolffian and Müllerian ducts. As the Müllerian duct forms, its growing tip is intimately associated with the Wolffian duct as it elongates to the urogenital sinus. Previous studies have shown that the presence of the Wolffian duct is required for the development and maintenance of the Müllerian duct. The Müllerian duct is known to form by invagination of the coelomic epithelium, but the mechanism for its elongation to the urogenital sinus remains to be defined. Using genetic fate mapping, we demonstrate that the Wolffian duct does not contribute cells to the Müllerian duct. Experimental embryological manipulations and molecular studies show that precursor cells at the caudal tip of the Müllerian duct proliferate to deposit a cord of cells along the length of the urogenital ridge. Furthermore, immunohistochemical analysis reveals that the cells of the developing Müllerian duct are mesoepithelial when deposited, and subsequently differentiate into an epithelial tube and eventually the female reproductive tract. Our studies define cellular and molecular mechanisms for Müllerian duct formation.     

Studies on sex-organ development. Ontogeny of cytoplasmic oestrogen receptor in chick Müllerian duct.

Oestradiol receptors were observed in the cytoplasm of the chick Müllerian duct at several embryonic stages. The sedimentation coefficients and the dissociation constants of the receptor protein remained unchanged throughout the various stages of development. Specific binding of cytoplasmic receptor to [3H]oestradiol assayed in vitro was shown to be saturable at concentration of 10nM or higher. The number of oeastradiol-binding sites on a per-cell basis increased linearly from day 8 to day 12 of incubation and then levelled off from day 12 to the fourth day after hatching. These results indicate that in the developing embryonic sex organ, the same receptor protein is present throughout prenatal development. The concentration of the oestradiol receptor increases and reaches a constant value, but the capacity for the receptor to interact with the hormone does not change.     

Müllerian inhibiting substance in sex-reversed dogs

In normal males, Müllerian Inhibiting Substance (MIS), produced by testes during an embryonic critical period, is thought to induce regression of the Müllerian duct system, including the oviducts and uterus. In XX sex-reversed dogs, an apparent contradiction has been reported: The uterus persists in the presence of testes or ovotestes. The objective of this study is to determine whether testes of XX male and ovotestes of true hermaphrodite dogs produce MIS, and to examine the anatomy of Müllerian duct derivatives of affected dogs for evidence of regression. Gonadal samples were tested for MIS activity in a bioassay. The mean MIS activity score of XX males was similar to that of normal XY males and significantly greater than that of normal XX females. The mean MIS activity score of XX true hermaphrodites was intermediate between normal XX females and XY males. Within the true hermaphrodite group, ovotestes in which the proportion of testicular tissue was greater than or equal to 1/2 had higher MIS scores than those in which the proportion of testicular tissue was less than 1/2. XX males had a well-developed epididymis adjacent to each testis, but no oviducts. In true hermaphrodites, the oviduct regressed and an epididymis was present when greater than or equal to 1/2 of the adjacent ovotestis was testicular, and MIS activity in that gonad was high. A few ovotestes with intermediate levels of MIS activity had both an oviduct and an epididymis. Regression of the oviductal portion of the Müllerian duct system was positively correlated to the amount of testicular tissue and the MIS activity of the gonad, as would be predicted by Jost's original hypothesis.(ABSTRACT TRUNCATED AT 250 WORDS)     

Contacts between Wolffian and Müllerian cells at the tip of the outgrowing Müllerian duct in rat embryos

The developing Müllerian duct was studied at the light microscopic as well as the electron microscopic level in rat embryos, especially in the section of the terminal bud and its tip, where Wolffian and Müllerian duct are enclosed by a common basal membrane. In this zone desmosomes can be found among Wolffian cells and also among Müllerian cells. In addition, we found cell contacts between Müllerian and Wolffian cells, namely short electron-dense segments on adjacent surfaces or disc-shaped thickenings within opposite plasma membranes, as well as fusions of the plasmalemmata over short distances. Until now, these cell contacts have not been described in rat embryos.     

Uterine Müllerian adenosarcoma with psammoma bodies: cytologic, histologic and ultrastructural studies of a case

Epithelial cells associated with psammoma bodies and undifferentiated sarcomatous tumor cells were found in peritoneal washings obtained during laparotomy for removal of metastatic lesions from a uterine stromal sarcoma. Histologic studies of the primary and recurrent tumors showed characteristics of Müllerian adenosarcoma. The cytologic, histologic and ultrastructural features are described.     

Müllerian mimicry in aposematic spiny plants

Müllerian mimicry is common in aposematic animals but till recently, like other aspects of plant aposematism was almost unknown. Many thorny, spiny and prickly plants are considered aposematic because their sharp defensive structures are colorful and conspicuous. Many of these spiny plant species (e.g., cacti and Agave in North American deserts; Aloe, Euphorbia and acacias with white thorns in Africa; spiny plants in Ohio; and spiny members of the Asteraceae in the Mediterranean basin) have overlapping territories, and also similar patterns of conspicuous coloration, and suffer from the evolutionary pressure of grazing by the same large herbivores. I propose that many of these species form Müllerian mimicry rings.Key words: aposematic coloration, defense, evolution, herbivory, müllerian mimicry, spines, thornsAposematic (warning) coloration is a biological phenomenon in which poisonous, dangerous or otherwise unpalatable organisms visually advertise these qualities to other animals. The evolution of aposematic coloration is based on the ability of target enemies to associate the visual signal with the risk, damage or non-profitable handling, and later to avoid such organisms as prey. Typical colors of aposematic animals are yellow, orange, red, purple, black, white or brown and combinations of these.^1–5 Many thorny, spiny and prickly plant species were proposed to be aposematic because their sharp defensive structures are usually colorful (yellow, orange, red, brown, black, white) and/or associated with similar conspicuous coloration.^5–22 Animal spines also have similar conspicuous coloration and were proposed to be aposematic.^1,5,17,23Several authors have proposed that mimicry of various types helps in plant defense, e.g.,^9,24–34 More specifically, Müllerian mimicry was already proposed to exist in several defensive plant signaling systems. The first was for several spiny species with white-variegated leaves.^8,10 The second was for some tree species with red or yellow poisonous autumn leaves.³⁵ The third cases are of a mixture of Müllerian and Batesian mimicry, of thorn auto-mimicry found in many Agave species.⁸Here I propose that many species of visually aposematic spiny plants of the following taxa: (1) Cactaceae, (2) the genus Agave, (3) the genus Aloe, (4) African thorny members of the genus Euphorbia, (5) African acacias with white thorns, (6) spiny vascular plants of southeastern Ohio, (7) spiny Near Eastern plants with white variegation on their leaves, (8) Near Eastern members of the Asteraceae with yellow spines, form Müllerian mimicry rings of spiny plants.To consider the existence of Müllerian mimicry rings in aposematic organisms, two factors are needed: (1) a similar signal, and (2) an overlapping distribution in respect to the territory of predators in animals, or herbivores in plants. I will show below that for the plant taxa proposed here to form Müllerian mimicry rings, both criteria operate.The accumulating data about the common association of plant defenses by spines with visual conspicuousness, along with the fact that many such species overlap in their habitat, raises the possibility of the broad phenomenon of existence of Müllerian mimicry rings in plants. Even from the limited number of publications proposing visual aposematism in spiny plants, the operation of vegetal Müllerian mimicry rings seems to be obvious. The phenomenon can now be traced to both the Old World (Asia, Africa and Europe) and the New World (North America). The best-studied cases include Cactaceae and the genera Agave, Aloe and Euphorbia,⁶ African acacias with white thorns,^12,15 Near Eastern spiny plants with white variegation on their leaves,^7,11 aposematic spiny vascular plants of southeastern Ohio,¹⁶ and many spiny Mediterranean species of the Asteraceae with yellow spines.²²In the four spiny taxa (Cactaceae and the genera Agave, Aloe and Euphorbia) that were the first to be proposed as visually aposematic⁶ there is a very strong morphological similarity. In cacti, there are two types of conspicuousness of spines that are typical of many plant species: (1) colorful spines, and (2) white spots, or white or colorful stripes, associated with spines on the stems. These two types of aposematic coloration also dominate the spine system of Agave, Aloe and Euphorbia. The fact that many species of three of these four spiny taxa (Agave, Aloe and Euphorbia) are also poisonous^36–38 further indicates their potential to form Müllerian mimicry rings.I propose that each of these groups for itself and some of these groups (e.g., Cactaceae and the genus Agave in North America; Aloe, Euphorbia and acacias in east and south Africa) that have overlapping distribution and share at least some of the herbivores, form Müllerian mimicry rings.The first Müllerian mimicry ring is of cacti and Agave that have an overlapping distribution over large areas in North America.^37,39 The large herbivores in North America disappeared not so long ago in evolutionary time scales and seem to have shaped the spiny defense of these plant taxa.⁴⁰The second Müllerian mimicry ring is of the spiny and thorny members of the African genera Aloe, Euphorbia and certain acacias with very conspicuous white thorns, which partly overlap in distribution and share various large mammalian herbivores.^12,15,36,41The third Müllerian mimicry ring is the outcome of the common presence of aposematic coloration in spiny vascular plants of southeastern Ohio,¹⁶ with color patterns in thorns and spines similar to those of Cactaceae and the genera Agave, Aloe and Euphorbia described in Lev-Yadun.⁶The next case of potential operation of Müllerian mimicry ring of spiny plants with overlapping territories that suffer from the same large herbivores, but on a much smaller geographical scale, has recently been proposed for several spiny species with white-variegated leaves,⁷ and later for more than 20 spiny species in the flora of Israel that have white markings associated with their spines.¹¹The last case of a probable Müllerian mimicry ring was described by Ronel et al.²² who while studying the spine system of Near Eastern spiny members of the Asteraceae, found 29 spiny species with yellow spines, and additional such species are expected to occur. Since some of these species and others with yellow spines also grow in southern Europe, it is clear that the same phenomenon is also common there.I conclude that Müllerian mimicry rings seem to be very common in plants, and that it is probable that many other spiny plants that form Müllerian mimicry rings are waiting to be studied. Such defensive rings are probably also formed by poisonous plants that share similar colors or odors.     

Müllerian inhibiting substance is present in testes of dogs with persistent müllerian duct syndrome

Breeding studies in a strain of miniature schnauzer dogs with Persistent Müllerian Duct Syndrome (PMDS) indicate this syndrome is inherited as an autosomal recessive trait, as it is in man. Testes of neonatal dogs affected with PMDS and normal male littermates were examined for Müllerian Inhibiting Substance (MIS) production by immunohistochemistry and bioassay. MIS immunoactivity was detected in Sertoli cells of normal and affected pups using an avidin-biotin complex-enhanced method. Rat embryonic Müllerian ducts regressed when cocultured with testis fragments of both normal and affected pups in a graded organ culture bioassay, demonstrating that the MIS produced was bioactive. These findings indicate that Müllerian duct persistence in affected dogs is not due to a mutation in the structural gene for MIS, but rather, by inference, to a failure of response to MIS at the receptor level.     

Causes and Consequences of a Lack of Coevolution in Müllerian mimicry

Müllerian mimicry, in which both partners are unpalatable to predators, is often used as an example of a coevolved mutualism. However, it is theoretically possible that some Müllerian mimics are parasitic if a weakly defended mimic benefits at the expense of a more highly defended model, a phenomenon known as ‘quasi-Batesian mimicry’. The theory expounded by Müller and extended here for unequal unpalatability, on the other hand, suggests that quasi-Batesian mimicry should be rare in comparison with classical, or mutualistic Müllerian mimicry. Evolutionarily, quasi-Batesian mimicry has consequences similar to classical Batesian mimicry, including unilateral ‘advergence’ of the mimic to the model, and diversifying frequency-dependent selection on the mimic which may lead to mimetic polymorphism. In this paper, theory and empirical evidence for mutual benefit and coevolution in Müllerian mimicry are reviewed. I use examples from well-known insect Müllerian mimicry complexes: the Limenitis–Danaus (Nymphalidae) system in North America, the Bombus–Psithyrus (Apidae) system in the north temperate zone, and the Heliconius–Laparus (Nymphalidae) system in tropical America. These give abundant evidence for unilateral advergence, and no convincing evidence, to my knowledge, for coevolved mutual convergence. Furthermore, mimetic polymorphisms are not uncommon. Yet classical mutualistic Müllerian mimicry, coupled with spatial (and possibly temporal) variation in model abundances convincingly explain these apparent anomalies without recourse to a quasi-Batesian explanation. Nevertheless, the case against classical Müllerian mimicry is not totally disproved, and should be investigated further. I hope that this tentative analysis of actual mimicry rings may encourage others to look for evidence of coevolution and quasi-Batesian effects in a variety of other Müllerian mimicry systems. This revised version was published online in July 2006 with corrections to the Cover Date.     

Familial Occurrence of Persistent Müllerian Structures in Otherwise Normal Males

Eight cases of males with persistent Müllerian structures are reported in four pairs of unrelated siblings. A genetically inherited failure to produce or to respond to the Müllerian-inhibiting substance elaborated by the fetal testis is postulated.     

Essential roles of mesenchyme-derived beta-catenin in mouse Müllerian duct morphogenesis

Members of the Wnt family of genes such as Wnt4, Wnt5a, and Wnt7a have been implicated in the formation and morphogenesis of the Müllerian duct into various parts of the female reproductive tract. These WNT ligands elicit their action via either the canonical WNT/beta-catenin or the non-canonical WNT/calcium pathway and could possibly function redundantly in Müllerian duct differentiation. By using the Müllerian duct-specific anti-Müllerian hormone receptor 2 cre (Amhr2-cre) mouse line, we established a conditional knockout model that removed beta-catenin specifically in the mesenchyme of the Müllerian duct. At birth, loss of beta-catenin in the Müllerian duct mesenchyme disrupted the normal coiling of the oviduct in the knockout embryo, resembling the phenotype of the Wnt7a knockout. The overall development of the female reproductive tract was stunted at birth with a decrease in proliferation in the mesenchyme and epithelium. We also discovered that Wnt5a and Wnt7a expression remained normal, excluding the possibility that the phenotypes resulted from a loss of these WNT ligands. We examined the expression of Frizzled (Fzd), the receptors for WNT, and found that Fzd1 is one receptor present in the Müllerian duct mesenchyme and could be the putative receptor for beta-catenin activation in the Müllerian duct. In summary, our findings suggest that mesenchymal beta-catenin is a downstream effector of Wnt7a that mediates the patterning of the oviduct and proper differentiation of the uterus.     

Mimetic gain in batesian and Müllerian mimicry

Summary Starting from field investigations and experiments on mimetic butterfly populations a model for two mimetic species is developed. The model comprises various features such as the growth rates and carrying capacities of the two species, their unpalatability to predators, the recruitment and the training of the predators and, most important, the similarity of the two mimetic species. The model ranges from pure Batesian to pure Müllerian mimicry over a spectrum of possible cases. The mimetic gain is introduced as the relative increase in equilibrium density in a mimetic situation as compared to a situation where mimicry is not present. The dependence of this quantity on parameters as growth rate, carrying capacity, unpalatability, and similarity is investigated using numerical methods.     

Convergent evolution in the genetic basis of Müllerian mimicry in heliconius butterflies

The neotropical butterflies Heliconius melpomene and H. erato are Müllerian mimics that display the same warningly colored wing patterns in local populations, yet pattern diversity between geographic regions. Linkage mapping has previously shown convergent red wing phenotypes in these species are controlled by loci on homologous chromosomes. Here, AFLP bulk segregant analysis using H. melpomene crosses identified genetic markers tightly linked to two red wing-patterning loci. These markers were used to screen a H. melpomene BAC library and a tile path was assembled spanning one locus completely and part of the second. Concurrently, a similar strategy was used to identify a BAC clone tightly linked to the locus controlling the mimetic red wing phenotypes in H. erato. A methionine rich storage protein (MRSP) gene was identified within this BAC clone, and comparative genetic mapping shows red wing color loci are in homologous regions of the genome of H. erato and H. melpomene. Subtle differences in these convergent phenotypes imply they evolved independently using somewhat different developmental routes, but are nonetheless regulated by the same switch locus. Genetic mapping of MRSP in a third related species, the “tiger” patterned H. numata, has no association with wing patterning and shows no evidence for genomic translocation of wing-patterning loci.     

Conservative coevolution of Müllerian mimicry in a group of rift lake catfish

Biological mimicry has long been viewed as a powerful example of natural selection's ability to drive phenotypic evolution, although continuing debates surround the mechanisms leading to its development and the nature of these mimetic relationships. Müllerian mimicry, in which unpalatable species derive a mutual selective benefit through evolved phenotypic similarity, has alternatively been proposed to evolve through either a two-step process initiated by a large mutational change, or through continuous gradual evolution toward a common aposematic phenotype. I exposed a model predatory fish species to two species of endemic Lake Tanganyikan Synodontis to provide evidence for aposematism and the presence of Müllerian mimicry in these species. Predators quickly became conditioned to avoid the venomous catfish and did not discriminate between the two species when they were switched, supporting a hypothesis of functional Müllerian mimicry in this group of similarly colored fish. Ancestral state reconstructions and statistical comparisons of color pattern divergence in Tanganyikan Synodontis indicate that Müllerian mimicry in these catfish has developed through diversification of an aposematic common ancestor with subsequent conservative mutualistic coevolution among its daughter lineages, rather than advergent evolution of a mimic toward a nonrelated model, as assumed by widely accepted models of Müllerian mimicry evolution.     

Study on sex-organ development. Oestrogen-receptor translocation in the developing chick Müllerian duct.

After oestradiol administration in vivo, 87-95% of the initial concentration of oestradiol receptor in the cytoplasm of the embryonic-chick Müllerian-duct cell was translocated into the nucleus. The process of translocation depends on the amount of oestardiol administered in vivo. At 6 h after oestradiol administration in vivo, about 30% replenishment of the initial content of the cytosol receptor was observed in the cytoplasm. The Müllerian-duct nuclei, after exposure to non-radioactive oestradiol, exhibit saturable exchange with [3H]oestradiol in vitro. The exchange of oestradiol is temperature- and time-dependent. The optimal temperature and time for exchange are 37-41 degrees C and 2h respectively. The [3H]oestradiol-receptor complex extracted from the exchanged nuclei is present in 5-6S form, and its isoelectric point is 6.8. The number of nuclear oestradiol-binding sites of the developing Müllerian duct are 1.66, 2.22, 2.63, and 2.50 pmol/mg of DNA respectively for embryos of 10, 12, 15 and 18 days. The dissociation constants of the nuclear oestradiol receptor of the four observed developmental stages range from 3.0 to 3.1 nM.     

The evolution of a Müllerian mimic in a spatially distributed community

Strong positive density-dependence should lead to a loss of diversity, but warning-colour and Müllerian mimicry systems show extraordinary levels of diversity. Here, we propose an analytical model to explore the dynamics of two forms of a Müllerian mimic in a heterogeneous environment with two alternative model species. Two connected populations of a dimorphic, chemically defended mimic are allowed to evolve and disperse. The proportions of the respective model species vary spatially. We use a nonlinear approximation of Müller's number-dependent equations to model a situation where the mortality for either form of the mimic decreases hyberbolically when its local density increases. A first non-spatial analysis confirms that the positive density-dependence makes coexistence of mimetic forms unstable in a single isolated patch, but shows that mimicry of the rarer model can be stable once established. The two-patch analysis shows that when models have different abundance in different places, local mimetic diversity in the mimic is maintained only if spatial heterogeneity is strong, or, more interestingly, if the mimic is not too strongly distasteful. Therefore, mildly toxic species can become polymorphic in a wider range of ecological settings. Spatial dynamics thus reveal a region of Müllerian polymorphism separating classical Batesian polymorphism and Müllerian monomorphism along the mimic's palatability spectrum. Such polymorphism-palatability relationship in a spatial environment provides a parsimonious hypothesis accounting for the observed Müllerian polymorphism that does not require quasi-Batesian dynamics. While the stability of coexistence depends on all factors, only the migration rate and strength of selection appear to affect the level of diversity at the polymorphic equilibrium. Local adaptation is predicted in most polymorphic cases. These results are in very good accordance with recent empirical findings on the polymorphic butterflies Heliconius numata and H. cydno.     

Evaluation of SHOX copy number variations in patients with Müllerian aplasia

Background

Thymic epithelial tumours (thymoma and carcinoma) are exceptionally rare in children. We describe a national multicentre series with a view to illustrating their clinical behaviour and the results of treatment.

Methods

From January 2000 all patients under 18 years of age diagnosed with "rare paediatric tumours" were centrally registered by the Italian centres participating in the TREP project (Tumori Rari in Età Pediatrica [Rare Tumours in Paediatric Age]). The clinical data of children with a thymic epithelial tumour registered as at December 2009 were analyzed for the purposes of the present study.

Results

Our series comprised 4 patients with thymoma and 5 with carcinoma (4 males, 5 females; median age 12.4 years). The tumour masses were mainly large, exceeding 5 cm in largest diameter. Based on the Masaoka staging system, 3 patients were stage I, 1 was stage III, 1 was stage IVa and 4 were stage IVb. All 3 patients with stage I thymoma underwent complete tumour resection at diagnosis and were alive 22, 35 and 93 months after surgery. One patient with a thymoma metastasizing to the kidneys died rapidly due to respiratory failure. Thymic carcinomas were much more aggressive, infiltrating nearby organs (in 4 cases) and regional nodes (in 5), and spreading to the bone (in 3) and liver (in 1). All patients received multidrug chemotherapy (platinum derivatives + etoposide or other drugs) with evidence of tumour reduction in 3 cases. Two patients underwent partial tumour resection (after chemo-radiotherapy in one case) and 4 patients were given radiotherapy (45-54 Gy). All patients died of their disease.

Conclusions

Children with thymomas completely resected at diagnosis have an excellent prognosis while thymic carcinomas behave aggressively and carry a poor prognosis despite multimodal treatment.     

Anti-Müllerian hormone in three intersex conditions.

Anti-Müllerian hormone (AMH), secreted by embryonic testicular Sertoli cells, inhibits the development of Müllerian ducts in the male. An enzyme-linked immunoassay (ELISA) for AMH was used to investigate three intersex infants. The AMH level was correlated with each patient's degree of Müllerian duct development. Complete inhibition of Müllerian structures correlated with the normal levels of AMH in the infant with testicular feminization. Detectable levels of AMH were found in the hermaphroditic infant; however, these low levels reflected Sertoli cell inadequacy of the ovotestis, which was documented by a right rudimentary Fallopian tube and a normal uterus. In the infant with persistent Müllerian duct syndrome, (PMDS), the normal Müllerian derivatives are compatible with 1) an AMH receptor defect; 2) a biologically and immunologically abnormal AMH molecule, or 3) a functional AMH deletion. The lack of detectable AMH in this infant excluded the AMH receptor abnormality and thus directed authors' search for the specific defect to the AMH gene. Thus, this ELISA for AMH is as valuable a tool to the molecular biologist studying a precise genetic error as it is to the physician making a precise clinical diagnosis.     

The importance of pattern similarity between Müllerian mimics in predator avoidance learning

Müllerian mimicry, where unpalatable prey share common warning patterns, has long fascinated evolutionary biologists. It is commonly assumed that Müllerian mimics benefit by sharing the costs of predator education, thus reducing per capita mortality, although there has been no direct test of this assumption. Here, we specifically measure the selection pressure exerted by avian predators on unpalatable prey with different degrees of visual similarity in their warning patterns. Using wild-caught birds foraging on novel patterned prey in the laboratory, we unexpectedly found that pattern similarity did not increase the speed of avoidance learning, and even dissimilar mimics shared the education of naive predators. This was a consistent finding across two different densities of unpalatable prey, although mortalities were lower at the higher density as expected. Interestingly, the mortalities of Müllerian mimics were affected by pattern similarity in the predicted way by the end of our experiment, although the result was not quite significant. This suggests that the benefits to Müllerian mimics may emerge only later in the learning process, and that predator experience of the patterns may affect the degree to which pattern similarity is important. This highlights the need to measure the behaviour of real predators if we are to understand fully the evolution of mimicry systems.     

The wave speed of intergradation zone in two-species lattice Müllerian mimicry model

A spatially explicit model is studied to analyse the movement of coupled clines in two-species Müllerian mimicry system as exemplified by the comimicking helicoiine butterflies in Central-South America Heliconius erato and Heliconius melpomene. In this system, a pair of comimicking wing patterns of two species (mimicry ring) is found in a geographical region but another pair of wing patterns is found in a different geographical region. The distribution of mimicry rings thus forms a spatial mosaic in a large geographical scale, and the mechanism responsible for their stable maintenance has been a long-standing question in evolutionary biology. We here examine the speed of the movement of boundaries that divide the regions inhabited by different mimetic morphs in each comimicking species, by assuming coupled two-state stochastic cellular automatons where the flipping rate of the site occupied by a mimetic morph depends on the local density of the same morph and of the comimicking morph in the other species. The speed of cline movement shows a complex dependence on the coupling parameter between mimetic species--greater coupling of comimicking morphs between species slows down the cline movement only when the reduction in predation rate exhibits diminishing return to the increase of local mimetic morph density. The analytical predictions are confirmed by the results of Monte Carlo simulations. The speed of advance is quite different from that predicted from the conventional reaction-diffusion model, indicating that demographic stochasticity plays a critical role in determining the speed of cline movement. We also examine if the spatial heterogeneity in migration rate can stably maintain clines.