Spectral Tuning and Adaptation to Different Light Environments of Mysid Visual Pigments

In the present thesis, questions of spectral tuning, the relation of spectral and thermal properties of visual pigments, and evolutionary adaptation to different light environments were addressed using a group of small crustaceans of the genus Mysis as a model. The study was based on microspectrophotometric measurements of visual pigment absorbance spectra, electrophysiological measurements of spectral sensitivities of dark-adapted eyes, and sequencing of the opsin gene retrieved through PCR. The spectral properties were related to the spectral transmission of the respective light environments, as well as to the phylogentic histories of the species. The photoactivation energy (Ea) was estimated from temperature effects on spectral sensitivity in the long-wavelength range, and calculations were made for optimal quantum catch and optimal signal-to-noise ratio in the different light environments. The opsin amino acid sequences of spectrally characterized individuals were compared to find candidate residues for spectral tuning. The general purpose was to clarify to what extent and on what time scale adaptive evolution has driven the functional properties of (mysid) visual pigments towards optimal performance in different light environments. An ultimate goal was to find the molecular mechanisms underlying the spectral tuning and to understand the balance between evolutionary adaptation and molecular constraints. The totally consistent segregation of absorption maxima (λmax) into (shorter-wavelength) marine and (longer-wavelength) freshwater populations suggests that truly adaptive evolution is involved in tuning the visual pigment for optimal performance, driven by selection for high absolute visual sensitivity. On the other hand, the similarity in λmax and opsin sequence between several populations of freshwater M. relicta in spectrally different lakes highlights the limits to adaptation set by evolutionary history and time. A strong inverse correlation between Ea and λmax was found among all visual pigments studied in these respects, including those of M. relicta and 10 species of vertebrate pigments, and this was used to infer thermal noise. The conceptual signal-to-noise ratios thus calculated for pigments with different λmax in the Baltic Sea and Lake Pääjärvi light environments supported the notion that spectral adaptation works towards maximizing the signal-to-noise ratio rather than quantum catch as such. Judged by the shape of absorbance spectra, the visual pigments of all populations of M. relicta and M. salemaai used exclusively the A2 chromophore (3, 4-dehydroretinal). A comparison of amino acid substitutions between M. relicta and M. salemaai indicated that mysid shrimps have a small number of readily available tuning sites to shift between a shorter - and a longer -wavelength opsin. However, phylogenetic history seems to have prevented marine M. relicta from converting back to the (presumably) ancestral opsin form, and thus the more recent reinvention of marine spectral sensitivity has been accomplished by some other novel mechanism, yet to be found

Molecular Tuning of Rhodopsins for High Visual Sensitivity in Different Light Environments : Variation in Absorbance Spectrum and Opsin Sequence within and between Species

Visual pigments of different animal species must have evolved at some stage to match the prevailing light environments, since all visual functions depend on their ability to absorb available photons and transduce the event into a reliable neural signal. There is a large literature on correlation between the light environment and spectral sensitivity between different fish species. However, little work has been done on evolutionary adaptation between separated populations within species. More generally, little is known about the rate of evolutionary adaptation to changing spectral environments. The objective of this thesis is to illuminate the constraints under which the evolutionary tuning of visual pigments works as evident in: scope, tempo, available molecular routes, and signal/noise trade-offs. Aquatic environments offer Nature s own laboratories for research on visual pigment properties, as naturally occurring light environments offer an enormous range of variation in both spectral composition and intensity. The present thesis focuses on the visual pigments that serve dim-light vision in two groups of model species, teleost fishes and mysid crustaceans. The geographical emphasis is in the brackish Baltic Sea area with its well-known postglacial isolation history and its aquatic fauna of both marine and fresh-water origin. The absorbance spectrum of the (single) dim-light visual pigment were recorded by microspectrophotometry (MSP) in single rods of 26 fish species and single rhabdoms of 8 opossum shrimp populations of the genus Mysis inhabiting marine, brackish or freshwater environments. Additionally, spectral sensitivity was determined from six Mysis populations by electroretinogram (ERG) recording. The rod opsin gene was sequenced in individuals of four allopatric populations of the sand goby (Pomatoschistus minutus). Rod opsins of two other goby species were investigated as outgroups for comparison. Rod absorbance spectra of the Baltic subspecies or populations of the primarily marine species herring (Clupea harengus membras), sand goby (P. minutus), and flounder (Platichthys flesus) were long-wavelength-shifted compared to their marine populations. The spectral shifts are consistent with adaptation for improved quantum catch (QC) as well as improved signal-to-noise ratio (SNR) of vision in the Baltic light environment. Since the chromophore of the pigment was pure A1 in all cases, this has apparently been achieved by evolutionary tuning of the opsin visual pigment. By contrast, no opsin-based differences were evident between lake and sea populations of species of fresh-water origin, which can tune their pigment by varying chromophore ratios. A more detailed analysis of differences in absorbance spectra and opsin sequence between and within populations was conducted using the sand goby as model species. Four allopatric populations from the Baltic Sea (B), Swedish west coast (S), English Channel (E), and Adriatic Sea (A) were examined. Rod absorbance spectra, characterized by the wavelength of maximum absorbance (λmax), differed between populations and correlated with differences in the spectral light transmission of the respective water bodies. The greatest λmax shift as well as the greatest opsin sequence difference was between the Baltic and the Adriatic populations. The significant within-population variation of the Baltic λmax values (506-511 nm) was analyzed on the level of individuals and was shown to correlate well with opsin sequence substitutions. The sequences of individuals with λmax at shorter wavelengths were identical to that of the Swedish population, whereas those with λmax at longer wavelengths additionally had substitution F261F/Y in the sixth transmembrane helix of the protein. This substitution (Y261) was also present in the Baltic common gobies and is known to redshift spectra. The tuning mechanism of the long-wavelength type Baltic sand gobies is assumed to be the co-expression of F261 and Y261 in all rods to produce ≈ 5 nm redshift. The polymorphism of the Baltic sand goby population possibly indicates ambiguous selection pressures in the Baltic Sea. The visual pigments of all lake populations of the opossum shrimp (Mysis relicta) were red-shifted by 25 nm compared with all Baltic Sea populations. This is calculated to confer a significant advantage in both QC and SNR in many humus-rich lakes with reddish water. Since only A2 chromophore was present, the differences obviously reflect evolutionary tuning of the visual protein, the opsin. The changes have occurred within the ca. 9000 years that the lakes have been isolated from the Sea after the most recent glaciation. At present, it seems that the mechanism explaining the spectral differences between lake and sea populations is not an amino acid substitution at any other conventional tuning site, but the mechanism is yet to be found.

Development of Novel Assays for Measuring Different Molecular Forms of Prostate Specific Antigen

Prostate cancer (PCa) is the most commonly diagnosed non-skin cancer and second leading cause of cancer-related death of men in developed countries. Measurement of prostate specific antigen (PSA) is a very sensitive method for diagnosing and monitoring of prostate cancer (PCa), but the specificity needs improvement. Measurements of different molecular forms of PSA have been shown to improve differentiation between PCa and benign prostatic diseases. However, accurate measurement of some isoforms has not been achieved in previous assays. The aim of the present study was to develop new assays that reliably measure enzymatically active PSA, PSA-α1-chymotryposin (PSA-ACT) and PSA-α1-protease inhibitor (PSA-API), and to evaluate their diagnostic value. Double-label immunofluorometric assays using a novel monoclonal antibody (MAb) and another antibody to either free PSA (fPSA) or total PSA (tPSA) were developed and used to measure PSA-ACT and fPSA or tPSA at the same time. These assays provide enough sensitivity for measurement of PSA-ACT in sera with low PSA levels. The results obtained confirmed that proportion of PSA-ACT to tPSA (%PSA-ACT) was as useful as proportion of fPSA to tPSA (%fPSA) for discrimination between PCa and benign prostatic hyperplasia (BPH). We developed an immunoassay for detection of PSA-API based on proximity ligation, which improved assay sensitivity 10-fold compared with conventional assays. Our results confirmed previous findings that the PSA-API level is somewhat lower in men with than without PCa, and the combination of %fPSA and proportion of PSA-API to tPSA (%PSA-API) provides diagnostic improvement compared with either method alone. Assays based on this principle should be applicable to other immunoassays in which the nonspecific background is a problem. An immunopeptidometric sandwich assay (IPMA) was developed to measure the enzymatically active PSA. This assay showed high specificity, but sensitivity was not good enough for measurement of PSA concentrations in the gray zone, 2-10 µg/L, in which tPSA does not efficiently differentiate between PCa and BPH. We further developed a solid-phase proximity ligation immunoassay, which provided a 10-fold improvement in sensitivity. This proof of concept study shows that peptides reacting with proteins are potentially useful for sensitive and specific measurement of protein variants for which specific MAbs cannot be obtained.

Identification of novel target genes in different subtypes of cutaneous T-cell lymphoma

Ihon T-solulymfoomat (cutaneous T-cell lymphoma, CTCL) ovat ryhmä imukudossyöpiä, joiden esiintyvyys on nousussa erityisesti länsimaissa. Taudin syntymekanismit ovat suurelta osin tuntemattomat, diagnostiikka on vaikeaa ja siksi usein viivästynyttä eikä parantavaa hoitoa ole. CTCL ilmenee iho-oirein, vaikka syöpäsolut eivät ole iholla normaalisti esiintyviä soluja, vaan elimistön puolustusjärjestelmän soluja, jotka ovat tuntemattomasta syystä vaeltaneet iholle. Syöpäsolut ovat kypsiä T-auttajasoluja (Th-soluja) ja ilmentävät tyypin 2 immuunivasteelle ominaisia sytokiineja. Kromosomaalinen epästabiilius on tautiryhmän keskeinen piirre. CTCL-potilailla on lisääntynyt riski sairastua myös muihin syöpiin, erityisesti keuhkosyöpään ja non-Hodgkin –lymfoomiin. Väitöskirjatutkimuksen tavoitteena oli havaita CTCL:n syntymekanismeja selvittäviä kromosomi- ja geenimuutoksia. Erityisesti tavoitteena oli identifioida molekyylejä, jotka soveltuisivat diagnostisiksi merkkiaineiksi tai täsmähoidon kohteeksi. Työssä on tutkittu kahta tautiryhmän yleisintä muotoa, mycosis fungoidesta (MF) ja Sezaryn syndroomaa (SS) sekä harvinaisempaa vaikeasti diagnosoitavaa subkutaanista pannikuliitin kaltaista T-solulymfoomaa (SPTL). Lisäksi on tutkittu CTCL:ään liittyvää keuhkosyöpää ja verrattu sitä tavalliseen (primaariin) keuhkosyöpään. Tutkimusmenetelminä on käytetty esimerkiksi molekyylisytogeneettisiä metodeja ja mikrosiruja. Väitöskirjatyössä havaittiin ensimmäinen CTCL:lle ominainen toistuva geenitason muutos: puutos- tai katkoskohta NAV3-geenissä. Tämän geenipoikkeavuuden havaittiin esiintyvän useissa taudin alaryhmissä (MF, SS, SPTL). NAV3-geenipuutoksen osoittaminen FISH-tekniikalla on sovellettavissa kliiniseen diagnostiikkaan. Tutkimukset geenipuutoksen aiheuttamista toiminnallisista seurauksista ovat käynnissä. Työssä saatiin myös uutta tietoa taudin syntymekanismeista havaitsemalla useiden Th1-tyypin immuunivasteelle ominaisten geenien alentunut ilmeneminen CTCL-potilailla. Tämän lisäksi potilasnäytteissä havaittiin eräiden solun pinta-antigeenien lisääntynyt ilmeneminen, mikä luo pohjan uusien vasta-ainepohjaisten täsmähoitojen kehittämiselle. Väitöskirjatutkimuksessa todettiin myös CTCL:ään liittyvän keuhkosyövän eroavan kromosomi- ja geenimuutosten suhteen verrokkikeuhkosyövästä, mikä jatkossa antaa aiheen tutkia syöpäkantasolujen merkitystä CTCL:n ja sen liitännäiskasvainten kehittymisen taustalla.

Scattering and Refraction as Contrast Mechanisms in X-Ray Imaging

Differentiation of various types of soft tissues is of high importance in medical imaging, because changes in soft tissue structure are often associated with pathologies, such as cancer. However, the densities of different soft tissues may be very similar, making it difficult to distinguish them in absorption images. This is especially true when the consideration of patient dose limits the available signal-to-noise ratio. Refraction is more sensitive than absorption to changes in the density, and small angle x-ray scattering on the other hand contains information about the macromolecular structure of the tissues. Both of these can be used as potential sources of contrast when soft tissues are imaged, but little is known about the visibility of the signals in realistic imaging situations. In this work the visibility of small-angle scattering and refraction in the context of medical imaging has been studied using computational methods. The work focuses on the study of analyzer based imaging, where the information about the sample is recorded in the rocking curve of the analyzer crystal. Computational phantoms based on simple geometrical shapes with differing material properties are used. The objects have realistic dimensions and attenuation properties that could be encountered in real imaging situations. The scattering properties mimic various features of measured small-angle scattering curves. Ray-tracing methods are used to calculate the refraction and attenuation of the beam, and a scattering halo is accumulated, including the effect of multiple scattering. The changes in the shape of the rocking curve are analyzed with different methods, including diffraction enhanced imaging (DEI), extended DEI (E-DEI) and multiple image radiography (MIR). A wide angle DEI, called W-DEI, is introduced and its performance is compared with that of the established methods. The results indicate that the differences in scattered intensities from healthy and malignant breast tissues are distinguishable to some extent with reasonable dose. Especially the fraction of total scattering has large enough differences that it can serve as a useful source of contrast. The peaks related to the macromolecular structure come to angles that are rather large, and have intensities that are only a small fraction of the total scattered intensity. It is found that such peaks seem to have only limited usefulness in medical imaging. It is also found that W-DEI performs rather well when most of the intensity remains in the direct beam, indicating that dark field imaging methods may produce the best results when scattering is weak. Altogether, it is found that the analysis of scattered intensity is a viable option even in medical imaging where the patient dose is the limiting factor.

Effects of climate and morphology on temperature conditions of lakes

To a large extent, lakes can be described with a one-dimensional approach, as their main features can be characterized by the vertical temperature profile of the water. The development of the profiles during the year follows the seasonal climate variations. Depending on conditions, lakes become stratified during the warm summer. After cooling, overturn occurs, water cools and an ice cover forms. Typically, water is inversely stratified under the ice, and another overturn occurs in spring after the ice has melted. Features of this circulation have been used in studies to distinguish between lakes in different areas, as basis for observation systems and even as climate indicators. Numerical models can be used to calculate temperature in the lake, on the basis of the meteorological input at the surface. The simple form is to solve the surface temperature. The depth of the lake affects heat transfer, together with other morphological features, the shape and size of the lake. Also the surrounding landscape affects the formation of the meteorological fields over the lake and the energy input. For small lakes the shading by the shores affects both over the lake and inside the water body bringing limitations for the one-dimensional approach. A two-layer model gives an approximation for the basic stratification in the lake. A turbulence model can simulate vertical temperature profile in a more detailed way. If the shape of the temperature profile is very abrupt, vertical transfer is hindered, having many important consequences for lake biology. One-dimensional modelling approach was successfully studied comparing a one-layer model, a two-layer model and a turbulence model. The turbulence model was applied to lakes with different sizes, shapes and locations. Lake models need data from the lakes for model adjustment. The use of the meteorological input data on different scales was analysed, ranging from momentary turbulent changes over the lake to the use of the synoptical data with three hour intervals. Data over about 100 past years were used on the mesoscale at the range of about 100 km and climate change scenarios for future changes. Increasing air temperature typically increases water temperature in epilimnion and decreases ice cover. Lake ice data were used for modelling different kinds of lakes. They were also analyzed statistically in global context. The results were also compared with results of a hydrological watershed model and data from very small lakes for seasonal development.

Lightcurve inversion for asteroid spins and shapes

Knowledge of the physical properties of asteroids is crucial in many branches of solar-system research. Knowledge of the spin states and shapes is needed, e.g., for accurate orbit determination and to study the history and evolution of the asteroids. In my thesis, I present new methods for using photometric lightcurves of asteroids in the determination of their spin states and shapes. The convex inversion method makes use of a general polyhedron shape model and provides us at best with an unambiguous spin solution and a convex shape solution that reproduces the main features of the original shape. Deriving information about the non-convex shape features is, in principle, also possible, but usually requires a priori information about the object. Alternatively, a distribution of non-convex solutions, describing the scale of the non-convexities, is also possible to be obtained. Due to insufficient number of absolute observations and inaccurately defined asteroid phase curves, the $c/b$-ratio, i.e., the flatness of the shape model is often somewhat ill-defined. However, especially in the case of elongated objects, the flatness seems to be quite well constrained, even in the case when only relative lightcurves are available. The results prove that it is, contrary to the earlier misbelief, possible to derive shape information from the lightcurve data if a sufficiently wide range of observing geometries is covered by the observations. Along with the more accurate shape models, also the rotational states, i.e., spin vectors and rotation periods, are defined with improved accuracy. The shape solutions obtained so far reveal a population of irregular objects whose most descriptive shape characteristics, however, can be expressed with only a few parameters. Preliminary statistical analyses for the shapes suggests that there are correlations between shape and other physical properties, such as the size, rotation period and taxonomic type of the asteroids. More shape data of, especially, the smallest and largest asteroids, as well as the fast and slow rotators is called for in order to be able to study the statistics more thoroughly.

Sukupolvien ongelma : Tutkielmia sukupolven käsitteestä, sukupolvitietoisuudesta ja suurista ikäluokista

The aims of the thesis are (1) to present a systematic evaluation of generation and its relevance as a sociological concept, (2) to reflect on how generational consciousness, i.e. generation as an object of collective identification that has social significance, can emerge and take shape, (3) to analyze empirically the generational experiences and consciousness of one specific generation, namely Finnish baby boomers (b. 1945 1950). The thesis contributes to the discussion on the social (as distinct from its genealogical) meaning of the concept of generation, launched by Karl Mannheim s classic Das Problem der Generationen (1928), in which the central idea is that a certain group of people is bonded together by a shared experience and that this bonding can result in a distinct self-consciousness. The thesis is comprised of six original articles and an extensive summarizing chapter. In the empirical articles, the baby boomers are studied on the basis of nationally representative survey data (N = 2628) and narrative life-story interviews (N = 38). In the article that discusses the connection of generations and social movements, the analysis is based on the member survey of Attac Finland (N = 1096). Three main themes were clarified in the thesis. (1) In the social sense the concept of generation is a modern, problematic, and ultimately a political concept. It served the interests of the intellectuals who developed the concept in the early 20th century and provided them, as an alternative to the concept of social class, a new way of think about social change and progress. The concept of generation is always coupled with the concept of Zeitgeist or some other controversial way of defining what is essential, i.e. what creates generations, in a given culture. Thus generation is, as a product of definition and classification struggles, a contested concept. The concept also clearly implies elitist connotations; the idea of some kind of vanguard (the elite) that represents an entire generation by proclaiming itself as its spokesman automatically creates a counterpart, namely the others in the peer group who are thought to be represented (the masses). (2) Generational consciousness cannot emerge as a result of any kind of automatic process or endogenously; it must be made. There has to be somebody who represents the generation in order for that generation to exist in people s minds and as an object of identification; generational experiences and their meanings must be articulated. Hence, social generations are, in a fundamental manner, discursively constructed. The articulations of generational experiences (speeches, writings, manifests, labels etc.) can be called as the discursive dimension of social generations, and through this notion, how public discourse shapes people s generational consciousness can be seen. Another important element in the process is collective memory, as generational consciousness often takes form only retrospectively. (3) Finnish baby boomers are not a united or homogeneous generation but are divided into many smaller sections with specific generational experiences and consciousnesses. The content of the generational consciousness of the baby boomers is heavily politically charged. A salient dividing line inside the age group is formed by individual attitudes towards so-called 1960s radicalism. Identification with the 1960s generation functions today as a positive self-definition of a certain small leftist elite group, and the values and characteristics usually connected with the idea of the 1960s generation do not represent the whole age group. On the contrary, among some of the members of the baby boomers, the generational identification is still directed by the experience of how traditional values were disgraced in the 1960s. As objects of identification, the neutral term baby boomers and the charged 1960s generation are totally different things, and therefore they should not be used as synonyms. Although the significance of the group of the 1960s generation is often overestimated, they are however special with respect to generational consciousness because they have presented themselves as the voice of the entire generation. Their generational interpretations have spread through the media with the help of certain iconic images of the generation insomuch that 1960s radicalism has become an indirect generational experience for other parts of the baby boom cohort as well.

Species-specific and Indication-based Use of Antimicrobials in Dogs, Cats, Cattle and Horses in Finland : Data collected using three different methods

Increasing antimicrobial resistance in bacteria has led to the need for better understanding of antimicrobial usage patterns. In 1999, the World Organisation for Animal Health (OIE) recommended that an international ad hoc group should be established to address human and animal health risks related to antimicrobial resistance and the contribution of antimicrobial usage in veterinary medicine. In European countries the need for continuous recording of the usage of veterinary antimicrobials as well as for animal species-specific and indication-based data on usage has been acknowledged. Finland has been among the first countries to develop prudent use guidelines in veterinary medicine, as the Ministry of Agriculture and Forestry issued the first animal species-specific indication-based recommendations for antimicrobial use in animals in 1996. These guidelines have been revised in 2003 and 2009. However, surveillance on the species-specific use of antimicrobials in animals has not been performed in Finland. This thesis provides animal species-specific information on indication-based antimicrobial usage. Different methods for data collection have been utilized. Information on antimicrobial usage in animals has been gathered in four studies (studies A-D). Material from studies A, B and C have been used in an overlapping manner in the original publications I-IV. Study A (original publications I & IV) presents a retrospective cross-sectional survey on prescriptions for small animals at the Veterinary Teaching Hospital of the University of Helsinki. Prescriptions for antimicrobial agents (n = 2281) were collected and usage patterns, such as the indication and length of treatment, were reviewed. Most of the prescriptions were for dogs (78%), and primarily for the treatment of skin and ear infections most of which were treated with cephalexin for a median period of 14 days. Prescriptions for cats (18%) were most often for the treatment of urinary tract infections with amoxicillin for a median length of 10 days. Study B (original publication II) was a retrospective cross-sectional survey where prescriptions for animals were collected from 17 University Pharmacies nationwide. Antimicrobial prescriptions (n = 1038) for mainly dogs (65%) and cats (19%) were investigated. In this study, cephalexin and amoxicillin were also the most frequently used drugs for dogs and cats, respectively. In study C (original publications III & IV), the indication-based usage of antimicrobials of practicing veterinarians was analyzed by using a prospective questionnaire. Randomly selected practicing veterinarians in Finland (n = 262) recorded all their antimicrobial usage during a 7-day study period. Cattle (46%) with mastitis were the most common patients receiving antimicrobial treatment, generally intramuscular penicillin G or intramammary treatment with ampicillin and cloxacillin. The median length of treatment was four days, regardless of the route of administration. Antimicrobial use in horses was evaluated in study D, the results of which are previously unpublished. Firstly, data collected with the prospective questionnaire from the practicing veterinarians showed that horses (n = 89) were frequently treated for skin or wound infections by using penicillin G or trimethoprim-sulfadiazine. The mean duration of treatment was five to seven days. Secondly, according to retrospective data collected from patient records, horses (n = 74) that underwent colic surgery at the Veterinary Teaching Hospital of the University of Helsinki were generally treated according to national and hospital recommendations; penicillin G and gentamicin was administered preoperatively and treatment was continued for a median of three days postoperatively. In conclusion, Finnish veterinarians followed well the national prudent use guidelines. Narrow-spectrum antimicrobials were preferred and, for instance, fluoroquinolones were used sparingly. Prescription studies seemed to give good information on antimicrobials usage, especially when combined with complementary information from patient records. A prospective questionnaire study provided a fair amount of valuable data on several animal species. Electronic surveys are worthwhile exploiting in the future.

Overview on different sterilization techniques for baby food

The nutritional quality of the product as well as other quality attributes like microbiological and sensory quality are essential factors in baby food industry, and therefore different alternative sterilizing methods for conventional heating processes are of great interest in this food sector. This report gives an overview on different sterilization techniques for baby food. The report is a part of the work done in work package 3 ”QACCP Analysis Processing: Quality – driven distribution and processing chain analysis“ in the Core Organic ERANET project called Quality analysis of critical control points within the whole food chain and their impact on food quality, safety and health (QACCP). The overall objective of the project is to optimise organic production and processing in order to improve food safety as well as nutritional quality and increase health promoting aspects in consumer products. The approach will be a chain analysis approach which addresses the link between farm and fork and backwards from fork to farm. The objective is to improve product related quality management in farming (towards testing food authenticity) and processing (towards food authenticity and sustainable processes. The articles in this volume do not necessarily reflect the Core Organic ERANET’s views and in no way anticipate the Core Organic ERANET’s future policy in this area. The contents of the articles in this volume are the sole responsibility of the authors. The information contained here in, including any expression of opinion and any projection or forecast, has been obtained from sources believed by the authors to be reliable but is not guaranteed as to accuracy or completeness. The information is supplied without obligation and on the understanding that any person who acts upon it or otherwise changes his/her position in reliance thereon does so entirely at his/her own risk. The writers gratefully acknowledge the financial support from the Core Organic Funding Body: Ministry of Agriculture and Forestry, Finland, Swiss Federal Office for Agriculture, Switzerland and Federal Ministry of Consumer Protection, Food and Agriculture, Germany.

The Role of Abduction in Self-Similarity

Based on the Aristotelian criterion referred to as 'abductio', Peirce suggests a method of hypothetical inference, which operates in a different way than the deductive and inductive methods. “Abduction is nothing but guessing” (Peirce, 7.219). This principle is of extreme value for the study of our understanding of mathematical self-similarity in both of its typical presentations: relative or absolute. For the first case, abduction incarnates the quantitative/qualitative relationships of a self-similar object or process; for the second case, abduction makes understandable the statistical treatment of self-similarity, 'guessing' the continuity of geometric features to the infinity through the use of a systematic stereotype (for instance, the assumption that the general shape of the Sierpiński triangle continuates identically into its particular shapes). The metaphor coined by Peirce, of an exact map containig itself the same exact map (a map of itself), is not only the most important precedent of Mandelbrot’s problem of measuring the boundaries of a continuous irregular surface with a logarithmic ruler, but also still being a useful abstraction for the conceptualisation of relative and absolute self-similarity, and its mechanisms of implementation. It is useful, also, for explaining some of the most basic geometric ontologies as mental constructions: in the notion of infinite convergence of points in the corners of a triangle, or the intuition for defining two parallel straight lines as two lines in a plane that 'never' intersect.