Correlation of cranial and mandibular prognathism in extant and fossil hominids 1 2 Fred Spoor , Meave G. Leakey & Louise N. Leakey 1 3 Evolutionary Anatomy Unit, Department of Anatomy & Developmental Biology, University College London, Gower Street, London, WC1E 6BT, United Kingdom e-mail: f.spoor@ucl.ac.uk 2 3 Division of Palaeontology, National Museums of Kenya, Nairobi, Kenya, and Department of Anatomical Sciences, Stony Brook University, New York, USA Koobi Fora Research Project, Nairobi, Kenya, and Department of Anthropology, Stony Brook University, New York, USA This pilot study investigates the correlation between mandibular symphysial orientation and both craniofacial and subnasal prognathism in modern humans, chimpanzees, gorillas, and a range of other catarrhine species. The purpose was to assess the potential value of using the degree of prognathism as a parameter that might relate isolated crania and mandibles in the Plio-Pleistocene hominin fossil record of Africa. It is found that angles expressing cranial and mandibular prognathism are intraspecifically correlated in modern humans from pre-industralised populations, but not in the African apes, or interspecifically among catarrhine species. Hominin fossils investigated in this comparative context broadly follow the pattern of correlation shown by modern humans, with some potentially interesting differences that warrant further investigation. In all, the results suggest that the degree of prognathism has little practical value in determining associations between isolated hominin mandibles and crania. INTRODUCTION The association of isolated mandibles and crania in the fossil hominin record can be problematic if multiple species are known to be present. Lack of consensus involving unassociated type specimens results in varying hypodigms, and complicates discussions of taxonomy and phylogeny. An example is the interpretation of the African Late Pliocene and Early Pleistocene hominin record not attributable to Paranthropus. The species names Homo habilis, H. rudolfensis and H. ergaster are frequently used with the relatively complete and emblematic crania KNM-ER 1813, KNM-ER 1470 and KNM-ER 3733 in mind. However, their respective affiliations rest with the correct association with two type mandibles, OH7 (H. habilis) and KNM-ER 992 (H. ergaster). The latter specimen has been linked with a range of different crania, and the currently widely accepted association with H. erectus-like specimens, such as KNM-ER 3733, only came with the discovery of KNM-WT 15000, which preserves both its cranium and mandible (see e.g. Wood, 1991). More recently, the discovery of the maxilla OH65 has reopened the debate as to whether H. rudolfensis is a junior synonym of H. habilis (Blumenschine et al., 2003; Tobias, 2003). This is because the edentulous type cranium of H. rudolfensis, KNM-ER 1470, could actually be the same species as OH7 (including the type mandible of H. habilis). If this is the case then smaller early Homo specimens such as OH13 and KNM-ER 1813 perhaps represent an as yet unnamed taxon. Modern human skulls show reduced prognathism of the mandibular symphysis and the cranial aspect of the face, including the subnasal area. This could suggest that these forms of prognathism are correlated among hominids, and that human evolution is characterised by a process of joint, and integrated change from a more prognathic to a more orthognathic facial morphology. If correct, this phenomenon could have the potential to relate fossil crania and mandibles of the same taxon. Indeed, the more vertically-oriented symphysis of the Australopithecus bahrelghazali type mandible KT12/H1 has been said to indicate a more orthognathic face (Brunet et al., 1996). The contemporary Kenyanthropus platyops type cranium KNMWT 40000 does show such facial morphology (Leakey et al., 2001), and this could be seen as evidence linking the two fossils. To assess the comparative basis for associating fossil hominin crania and mandibles using the degree of prognathism we studied the correlation pattern in modern humans, African apes, and a sample of additional catarrhine species. In orthodontic surgery there is a long tradition of comparing the degree of cranial and mandibular prognathism in pragmatic efforts to obtain a well-occluded dentition, and a balanced facial appearance (e.g. Ranly, 1988; Proffit, 2000; Wolford et al., 2004). However, in human palaeontology this issue has attracted little attention. Most recently, however, Kimbel et al. (2004) discussed the facial morphology of A. afarensis, and noticed the unusual combination in A.L. 444-2 and A.L. 417-1 of a prognathic subnasal area, and a steep, vertically-oriented mandibular symphysis. MATERIALS AND METHODS The sample is summarised in Table 1. The modern humans comprise of two subsamples: (1) skulls in the collections of the Natural History Museum (London) and the National Museums of Kenya, representing indigenous, pre-industrial populations from all six widely inhabited continents, and (2) skulls in the Department of Anatomy, University College London, without definitive provenance, but representing populations of the last 100 years from the London area, and possibly the Indian subcontinent. These will be referred to here as the pre-industrial and anatomy samples, respectively. The non-human primate specimens are from the collections of the Powell Cotton Museum (Birchington), the Royal College of Surgeons (London), the Natural History Museum (London), the Anthropological Institute of the University of Zürich, and the Departments of Anatomy and Anthropology and the Grant Museum of University College London,. The African ape samples include the eastern lowland gorilla Gorilla gorilla, and representatives of all chimpanzee Pan troglodytes subspecies. 86 Transactions of the Royal Society of South Africa Vol. 60(2) Table 1. The sample analysed in this study, giving the number of individuals (n ), the labels used in Figures 2–5, and the craniofacial, subnasal and mandibular angles. n (male, female) or accession no. Label Homo sapiens (all) pre-industrial UCL-Anatomy Pan troglodytes Gorilla gorilla Pongo pygmaeus Hylobates hoolock Hylobates klossi Hylobates syndactylus Cercocebus torquatus Cercopithecus campbelli Cercopithecus cephus Cercopithecus diana Cercopithecus nictitans Chlorocebus aethiops Erythrocebus patas Macaca fascicularis Macaca nigra Macaca sinica Macaca sylvanus Mandrillus sphinx Miopithecus talapoin Papio hamadryas Theropithecus gelada Colobus guereza Colobus polykomos Nasalis larvatus Procolobus badius Procolobus verus Semnopithecus entellus Trachypithecus obscurus Trachypithecus vetellus 48 25 23 55 (25m, 30f) 44 (23m, 21f) 5 (3m, 2f) 1f 1m 1f 1f 2f 1m 1m 2 (1m, 1f) 1f 1f 3 (2m, 1f) 1f 1m 1m 1m 1m 3 (2m, 1f) 2 (1m, 1f) 2 (1m, 1f) 2 (1m, 1f) 1f 2m 3 (2m, 1f) 1m 1m 1f Homo erectus Paranthropus robustus Australopithecus africanus Australopithecus afarensis Australopithecus afarensis Kenyanthropus platyops Hominini sp. Australopithecus bahrelghazali Australopithecus anamensis Australopithecus anamensis KNM-WT 15000 SK 12 Sts 52ab A.L. 444-2 A.L. 417-1 KNM-WT 40000 KNM-WT 8556 KT12-H1 KNM-KP 29281 KNM-KP 29283 Species Craniofacial angle Subnasal angle Mandibular angle Mean S.D. Mean S.D. Mean S.D. – h, Hs a p, Pt g, Gg Po Hh Hk Hy Ct Cc Ce Cd Cn Ca Ep Mf Mn Mi My Ms Mt Ph Tg Cg Cp Nl Pb Pv Se To Tv 78 78 78 60 63 61 65 70 60 55 64 61 59 58 64 60 53 53 46 50 46 66 39 50 58 61 57 61 77 68 65 61 5.0 5.8 4.2 3.5 3.3 4.2 – – – – 2.7 – – 0.1 – – 2.0 – – – – – 5.0 1.0 1.5 1.1 7.9 9.4 5.4 4.1 4.5 6.1 – – – – 2.8 – – 1.5 – – 3.1 – – – – – 8.1 1.1 2.7 2.3 7.3 6.0 – – – 81 78 84 45 42 39 57 58 56 47 36 47 44 42 46 44 37 35 41 38 46 40 44 48 45 52 54 47 43 47 49 48 8.2 6.9 8.1 5.8 4.9 1.8 – – – – 4.6 – – 2.4 – – 2.5 – – – – – 5.5 4.1 5.2 3.3 1.6 1.9 – – – 60 62 58 43 42 35 56 55 52 57 45 57 38 59 45 43 49 50 48 56 54 52 44 61 41 52 42 50 51 53 40 40 1 2 3 4 5 6&7 6 7 8 8 70 63 67 65 – 69 – – – – – – – – – – – – – – 48 35 48 41 44 53 – – – 33 – – – – – – – – – – 59 67 60 65 71 – 64 65 47 – – – – – – – – – – – The match between mandibles and crania was carefully checked, and the specimens have largely intact dentitions without evidence of substantial pathology. Five hominin fossils were included, which each preserve the relevant cranial and mandibular areas (Table 1). Moreover, to explore the earliest available hominin evidence the most complete A. anamensis mandible and maxilla were considered, even though these specimens are not of the same individual. Lastly, we assessed the potential match of the cranium KNM-WT 40000 with the A. bahrelghazali mandible KT12-H1, as well as with KNM-WT 8556, a mandible from the same geographic area, although somewhat younger in age (Leakey et al., 2001). The original fossils were measured, apart from KT12-H1 (cast made available by M. Brunet), and A.L. 444-2 (reconstruction made available by W. Kimbel, cross-checked 4.4 2.7 – – – with the original fossils). KNM-WT 15000 and Sts 52 are subadult, with second molars in occlusion, and the third molars unerupted in the former, and partially erupted in the latter. Craniofacial, subnasal, and mandibular prognathism is quantified using the lines sellion to prosthion, nasospinal to prosthion, and infradentale to gnathion, respectively (Figure 1). Angles of these lines were calculated to the orientation of the relevant (maxillary or mandibular) alveolar margin projected onto the midsagittal plane. The alveolar margin orientation is defined as the line from the margin between the second and third molar to either prosthion or infradentale (Figure 1). Angles were also calculated relative to the postcanine alveolar margin, replacing prosthion and infradentale by the margin between the canine and third premolar. However, these results are not reported here, as they are basically Spoor et al.: Correlation of cranial and mandibular prognathism in extant and fossil hominids Figure 1. Lateral view of a skull of Pan troglodytes, showing the landmarks employed in this study. Unlike sellion (se) and the alveolar margin between the second and third molars, the position of nasospinale (ns), prosthion (pr), infradentale (id) and gnathion (gn) may not be visible, and these are therefore indicated by markers. 87 Figure 2. Bivariate double logarithmic bivariate plot of the craniofacial angle against the mandibular angle for the individual specimens of Homo sapiens, Pan troglodytes, and Gorilla gorilla, as well as the hominin fossils. RMA regression lines are given for H. sapiens (dashed, total sample; solid, pre-industrial sample). Symbols listed in Table 1. the same as obtained for the full alveolar margin. The angles were calculated from landmark coordinates. For the non-hominid specimens these were recorded from threedimensional medical CT data (images in sagittal plane with a pixel size varying from 0.19 to 0.49 mm, depending on cranial size). The landmarks of the hominid skulls were taken from digital images with a focal distance of 1–2 m, aligned to provide an exact lateral view of the facial profile. Nasospinale, prosthion, infradentale and gnathion may not be visible in this view, and are indicated by markers oriented in the sagittal plane (Figure 1). Tests show that this simple technique has a maximum measurement error of ±1 degree for the focal and interlandmark distances used here (Wright, Figure 3. Bivariate double logarithmic plot of the craniofacial angle against the mandibular 2001). angle, for the species means of the extant catarrhine sample, and the individual hominin The relationship between the cranial and fossils. The RMA regression line of the pre-industrial modern human sample is shown. mandibular angles was assessed by calcu- Symbols listed in Table 1. lating Spearman rank correlation coeffiare given in Table 2. cients (rrank). When correlation is significant (P < 0.05), it was investigated whether the relationship is allometric rather In the modern human sample the craniofacial and mandibular than isometric by testing the null hypothesis that the slope of angles are positively correlated, and this relationship is the reduced major axis (RMA) regression of the logged values allometric. The slope indicates that widening of the mandibular is 1 (software: PAST, v1.20). Correlation was investigated intraangle (i.e. a more upright symphysis) tends to correspond with specifically for the modern human and African ape samples, increasingly less widening of the craniofacial angle. The two and interspecifically for the full extant catarrhine sample. subsamples of modern humans show markedly different results, with a stronger correlation between the two angles in the pre-industrial group, and no correlation in the anatomy RESULTS group. Moreover, for the pre-industrial sample an isometric Sample statistics of the craniofacial, subnasal and mandibular relationship cannot be rejected (P > 0.05). The estimated RMA angles are given in Table 1, and Figures 2–5 show intraspecific slope, based on raw values, is less than 1, suggesting that and interspecific bivariate plots of these angles. Correlation variation in the mandibular angle is accompanied by less coefficients, and RMA regression statistics, where appropriate, 88 Transactions of the Royal Society of South Africa Vol. 60(2) change in craniofacial angle. However, its 95% confidence interval does include 1, leaving open the possibility of one-to-one variation. The subnasal and mandibular angles in modern humans are correlated in the preindustrial skulls, but not in the anatomy, or combined samples. This relationship is allometric, but with a slope larger than 1, rather than less than 1 found for the craniofacial angle. This means that a more upright symphysis tends to correspond with an increasingly more orthognathic subnasal clivus. The craniofacial and subnasal angles are not correlated intraspecifically with the mandibular angle in the chimpanzee and gorilla samples, and treating the sexes separately gives the same result. These angles are not correlated interspecifically in the catarrhine sample either. Excluding the derived, orthognathic modern humans from Figure 4. Bivariate double logarithmic plot of the subnasal angle against the mandibular angle the catarrhines does not alter the result. for the individual specimens of Homo sapiens, Pan troglodytes, and Gorilla gorilla, as well as Bivariate plots of the cranial versus man- the hominin fossils. The RMA regression line of the pre-industrial modern human sample dibular angles clarify how the modern is shown. Symbols listed in Table 1. human correlation patterns compare with the morphology of the fossil hominins, the African apes and other catarrhines. There is no overlap of the areas of intraspecific variation of modern humans on the one hand, and those of the African apes on the other (Figures 2, 4). The latter cluster above the intraspecific RMA for the pre-industrial modern humans, in particular in the plot of the subnasal angle (Figure 4). This indicates that, compared with modern humans, the African apes are not only more prognathic overall, but also have a less vertically inclined mandibular symphysis for their degree of cranial prognathism. Plots of the catarrhine species means broadly show the same pattern (Figures 3, 5). However, for the relationship between the craniofacial and mandibular angles several species, including the hylobatids and the longmuzzled papionines, fall close to the modern human regression trend (Figure 3). Moreover, the subnasal angle of hylobatids Figure 5. Bivariate double logarithmic plot of the subnasal angle against the mandibular and many cercopithecids fall well within angle, for the species means of the extant catarrhine sample, and the individual hominin the range of modern humans (Figure 5). fossils. The RMA regression line of the pre-industrial modern human sample is shown. The hominin fossils broadly follow the Symbols listed in Table 1. RMA regression of the pre-industrial modern humans, falling at, or well below the lower end of the they are also close to the other hominin specimens, apart from modern range (Figures 2, 4). The A. afarensis and P. robustus A. anamensis. Relative to the modern human regression the hyspecimens differ from the A. africanus and H. erectus specimens pothetical combination of either mandible with KNM-WT by combining a more vertical mandibular symphysis with a 40000 follows the trend of the A. africanus, A. anamensis and prognathic cranium, in particular for the subnasal angle. This H. erectus specimens more closely than that of the A. afarensis difference approximately equals the maximum scatter around and P. robustus specimens (Figures 4, 5). the RMA shown by the modern human sample. Both the A. anamensis maxilla and mandible are characterised by the DISCUSSION most prognathic morphology in the hominin sample (Table 1). In this short study we set out to assess whether or not there is Combined their position relative to the modern human regresa comparative basis for using the degree of prognathism in sion is similar to that of the A. africanus and H. erectus specimens efforts to associate isolated fossil hominin mandibles and (Figures 4, 5). Finally, the mandibles KNM-WT 8556 and crania. The results clearly indicate that in pre-industrial KT12-H1 do not differ in their symphysial orientation, and modern humans worldwide the degree of cranial and mandib- Spoor et al.: Correlation of cranial and mandibular prognathism in extant and fossil hominids Table 2. Correlation and regression statistics of the craniofacial and submandibular angles against the mandibular angle. The Spearman rank correlation coefficient (rrank) is given with its level of significance, and the RMA slope is given with its 95% confidence interval in brackets, and with the probability that it is 1. x, P < 0.05; xx, P < 0.01; xxx, P < 0.001; ns, not significant (P ≥ 0.05). y-axis: x-axis: Craniofacial angle Mandibular angle rrank 0.324 x RMA slope (log) 0.666 (±0.182) Subnasal angle Mandibular angle Homo sapiens All Pre-industrial p(slope = 1) xxx Intercept (log) 0.621 0.142 ns rrank 0.476 xx 0.541 xx RMA slope (log) 0.867 (±0.313) 1.774 (±0.639) p(slope = 1) ns x Intercept (log) 0.251 –1.565 RMA slope (raw) 0.841 (±0.309) Intercept (raw) 12.466 UCL-Anatomy rrank 0.185 ns –0.126 ns Pan troglodytes rrank –0.128 ns –0.151 ns Gorilla gorilla rrank –0.028 ns 0.069 ns Interspecific rrank 0.321 ns 0.279 ns rrank 0.248 ns 0.202 ns excl. H. sapiens ular prognathism are correlated. However, this correlation is absent in the sample representing industrialised society, suggesting that changes in diet, mastication and health care may have released constraints underlying the integration of craniofacial and mandibular morphology. That no correlation was found intraspecifically in chimpanzees and gorillas could imply that such constraints emerged in the course of human evolution, perhaps in relation to the reduction of the size and projection of the lower face. Interspecifically catarrhines clearly do not show a single pattern of correlated variation in the degree of cranial and mandibular prognathism, with aspects such as facial length and hafting resulting in great variation between species. The position of the African apes away from the modern human regression trends is largely the consequence of the position of gnathion, which is positioned posteriorly because of the well-developed inferior tranverse torus (shelf), whereas in modern humans it is placed particularly anteriorly because of chin development. The hominins investigated here do seem to follow broadly the modern human regression trends, but without showing a simple pattern from more prognathic to orthognathic morphology. The H. erectus and A. africanus specimens are similar in their facial angles, whereas the A. afarensis and P. robustus specimens cluster separately. The latter could be interpreted as adding a similarity involving the masticatory system to the list of morphologies shared by these taxa (see Kimbel et al., 2004, p. 231). However, differences between the four taxa fall within modern human variation around the regression trends, and additional data are required to assess this further. It could be argued that the subadult H. erectus and A. africanus specimens would have been more prognathic as adults. However, this is not necessarily the case as KNM-WT 15000 is similar in craniofacial and subnasal angles to KNM-ER 3733 (68 and 47 degrees, respectively), and Sts 52 is 89 close to Sts 5, Sts 17 and Sts 71 (range 63–68, and 44-46 degrees, respectively). In all, the results suggest that the degree of prognathism has little practical value when attempting to associate isolated hominin mandibles and crania, given the absence of an unambiguous and consistent pattern of correlation, and the substantial ranges of intraspecific variation. Typically, the results indicate that the relatively vertically inclined symphysis of KT12/H1 cannot be used to predict an orthognathic face, because in A. afarensis and P. robustus this morphology is associated with prognathic crania. On the other hand, if it holds true that the fossil hominins broadly follow the modern human pattern of correlation, it will be less likely that a more orthognathic cranium, such as KNM-WT 40000, is associated with a particularly prognathic mandible, as exemplified by the A. anamensis specimen KNM-KP 29281. The findings presented here do indicate that on a more fundamental level the integration of cranial and mandibular morphology in human evolution warrants further investigation. Perhaps when the underlying biological mechanisms and constraints are better understood it will be possible to predict what morphology is of particular importance when matching cranial and mandibular elements in the fossil hominin record. ACKNOWLEDGEMENTS With this paper we salute Phillip V. Tobias, and acknowledge his many contributions to palaeoanthropology. We thank the National Museums of Kenya, the National Museum of Ethiopia, the Transvaal Museum (South Africa), the Institute of Human Origins (USA), and the museums listed in the Materials & Methods section for access to specimens in their care. We are grateful to Leslie Aiello, Gustl Anzenberger, Michel Brunet, Simon Chaplin, Helen Chatterjee, Chris Dean, Heidi Fourie, John Harrison, Jane Hughes, Nathan Jeffery, Paula Jenkins, Bill Kimbel, Charlie Lockwood, Emma Mbua, Peter Morris, Alan Walker and Tanwen Wright for help with various aspects of the research. Financial support was provided by the Leakey Foundation and the National Geographic Society. 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Tobias: a biographical note — By R. Leakey · · · · · · · · · · · · · · · · · · · · · · · · · · · · ii 65 Aspects of Hominid Evolution Species diversity in human evolution: challenges and opportunities — R. Foley · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · 67 Variation in early hominin temporal bone morphology and its implications for species diversity — C.A. Lockwood, W.H. Kimbel & J.M. Lynch · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · 73 Pliocene hominid fossils from Gamedah, Middle Awash, Ethiopia — T.D. White, B. Asfaw & G. Suwa · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · 79 Correlation of cranial and mandibular prognathism in extant and fossil hominids — F. Spoor, M.G. Leakey & L.N. Leakey · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · 85 ‘A tale of two taxa’ — B. Wood · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · 91 Dental development and upper molar cusp dimensions of South African australopithecines — S. Boccone & J. Moggi Cecchi · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · 95 Lesser known chapters in the history of the Makapansgat hominid site — J.M. Maguire · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · 99 Dating of the Sterkfontein hominids: progress and possibilities — T.C. Partridge · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · 107 Prehistory in blood and bone: An essay on the reconstruction of the past from genetics and morphology A.G. Morris · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · 111 Palaeoanthropological and molecular studies on the origin of modern humans in China — X. Wu· · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · 115 Human Genetics Genetic prediction of common multifactorial diseases — M. Bobrow · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · Genetics, race and medicine — T. Jenkins · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · 121 125 Human Behaviour and Culture Remembrance of things past: amnesic syndrome with partial preservation of professional skills — L Geffen & G. Geffen · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · Have you checked your hyoid lately? Strangulation, pathology, trauma, accident — K.A.R. Kennedy · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · The southern African San and their rock art — J.D. Lewis-Williams · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · Antiquity of the smoking habit in Africa — N.J. van der Merwe · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · 129 135 139 147 ààà Phillip Vallentine Tobias: an appreciation — F. Clark Howell · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · 151 Professor P.V. Tobias FRS, Hon. FRSSAf Curriculum vitae · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · List of publications · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · The journal is abstracted in: Biological Abstracts, Chemical Abstracts, Excerpta Medica, Mathematical Reviews, ISI® Web of Science. 153 165