Pétrographie characterization of rocks from the Mirabello bay region, Crete, and its application to Minoan archaeology: the provenance of stone implements from Minoan sites

Οι άνθρωποι της Μινωικής Εποχής, στην Ανατολική Κρήτη, χρησιμοποιούσαν μαγματικά και μεταμορφωμένα πετρώματα για την κατασκευή διαφόρων λίθινων σκευών. Αυτά τα συνέλλεγαν από τις κοίτες των ποταμών και την ακτή στην περιοχή κατά μήκος του κόλπου του Μιραμπέλλο ή από ένα κροκαλοπαγές επίκλυσης, το οποίο κυριαρχεί γεωλογικά στην περιοχή αυτή και περιέχει κροκάλες από μαγματικά, μεταμορφωμένα και ιζηματογενή πετρώματα. Η λεπτομερής πετρογραφική περιγραφή φυσικών δειγμάτων, που συλλέχθηκαν από αυτούς τους σχηματισμούς και η σύγκριση τους με λίθινα σκεύη από ανασκαφές, αφενός καθιστά γνωστούς τους λιθολογικούς τύπους που χρησιμοποιήθηκαν και αφετέρου επιβεβαιώνει την πηγή προέ?χυσής τους. Με τη έρευνα αυτή καθίσταται προφανές ότι οι άνθρωποι της Μινωικής Εποχής μπορούσαν μα εκτιμήσουν τη σκληρότητα των λίθων που συνέλλεγαν, σύμφωνα με την επιθυμητή χρήση, καθώς και την αναμενόμενη κόπωση των υλικών, ανάλογα με τη χρήση για την οποία τα προόριζαν, αποφεύγοντας παράλληλα την ανεπιθύμητα χρονοβόρα κατεργασία τους. Με την επιβεβαίωση της λιθολογίας και της πηγής προέλευσης των λίθινων πρώτων υλών γίνεται επίσης αντιληπτό το γεγονός ότι οι άνθρωποι της Μινωικής Εποχής ήταν γνώστες του φυσικού περιβάλλοντος, στον ευρύτερο χώρο των οικισμών τους. Επίσης, μπορεί να εκτιμηθεί και ο χρόνος τον οποίο διέθεταν προκειμένου να βρουν και να συλλέξουν την πρώτη ύλη αλλά και να αξιολογηθεί ο χρόνος κατεργασίας των υλικών, προκειμένου να διαμορφωθούν σε κατάλληλα σκεύη, ανάλογα με τη σκληρότητα τους.The Minoans of East Crete used a variety of igneous and metamorphic rocks as stone implements. These were probably procured in dry riverbeds and beaches located in a region along the Bay of Mirabello or from an onlap conglomerate, which geologically dominates that region and contains rock types of igneous, metamorphic and sedimentary origin. Several rock samples were collected for pétrographie investigation to examine and confirm the source for the igneous rocks. Detailed pétrographie description of natural samples provides the identification of the rocks employed by Minoans and confirms the source of their origin. Apparently the Minoans were able to evaluate the hardness of the stones procured according to the desirable usage and their expected fatigue, thus avoiding unnecessary timeconsuming treatment. The identification of the variable lithotypes used for these implements and the verification of their source regions reveal the time it took to procure the raw materials as well as the time period during which the rocks were employed

Filament tension and phase-locked drift of meandering scroll waves

This paper was subsequently published in Physical Review Letters vol. 119, article 258101 (DOI: http://hdl.handle.net/10871/31612). The author accepted manuscript of the published article is in ORE: http://hdl.handle.net/10871/31612Rotating scroll waves are self-organising patterns which are found in many oscillating or excitable systems. Here we show that quasi-periodic (meandering) scroll waves, which include the rotors that organise cardiac arrhythmias, exhibit filament tension when averaged over the meander cycle. With strong filament curvature or medium thickness gradients, however, scroll wave dynamics are governed by phase-locked drift instead of filament tension. Our results are validated in computational models of cycloidal meander and a cardiac tissue model with linear core.This paper was subsequently published in Physical Review Letters, vol. 119, article 258101 (DOI: 10.1103/PhysRevLett.119.258101). The accepted version is in ORE at http://hdl.handle.net/10871/3161

Drift of scroll waves in thin layers caused by thickness features: asymptotic theory and numerical simulations

Copyright © 2015 American Physical SocietyA scroll wave in a very thin layer of excitable medium is similar to a spiral wave, but its behavior is affected by the layer geometry. We identify the effect of sharp variations of the layer thickness, which is separate from filament tension and curvature-induced drifts described earlier. We outline a two-step asymptotic theory describing this effect, including asymptotics in the layer thickness and calculation of the drift of so-perturbed spiral waves using response functions. As specific examples, we consider drift of scrolls along thickness steps, ridges, ditches, and disk-shaped thickness variations. Asymptotic predictions agree with numerical simulations.FWO-Flanders (Belgium)Engineering and Physical Sciences Research Council (EPSRC

Filament Tension and Phase Locking of Meandering Scroll Waves

This is the author accepted manuscript. The final version is available from American Physical Society via the DOI in this recordThe version of this paper which was originally published at arXiv.org is in ORE: http://hdl.handle.net/10871/25921Meandering spiral waves are often observed in excitable media such as the Belousov-Zhabotinsky reaction and cardiac tissue. We derive a theory for drift dynamics of meandering rotors in general reaction-diffusion systems and apply it to two types of external disturbances: an external field and curvature-induced drift in three dimensions. We find two distinct regimes: with small filament curvature, meandering scroll waves exhibit filament tension, whose sign determines the stability and drift direction. In the regimes of strong external fields or meandering motion close to resonance, however, phase locking of the meander pattern is predicted and observed.H. D. was funded by FWO-Flanders during part of this work. The computational resources (Stevin Supercomputer Infrastructure) and services used in this work were provided by the VSC (Flemish Supercomputer Center), funded by Ghent University, FWO and the Flemish Government–department EWI. I. V. B. and V. N. B. gratefully acknowledge EPSRC (UK) support via Grant No. EP/D074789/1. I. V. B. acknowledges EPSRC (UK) support via Grant No. EP/P008690/1. V. N. B. acknowledges EPSRC (UK) current support via Grant No. EP/N014391/1 (UK)

Filament tension and phase-locked drift of meandering scroll waves

Rotating scroll waves are self-organising patterns which are found in many oscillating or excitable systems. Here we show that quasi-periodic (meandering) scroll waves, which include the rotors that organise cardiac arrhythmias, exhibit filament tension when averaged over the meander cycle. With strong filament curvature or medium thickness gradients, however, scroll wave dynamics are governed by phase-locked drift instead of filament tension. Our results are validated in computational models of cycloidal meander and a cardiac tissue model with linear core.Comment: accepted for publication in Physical Review Letters (December 2017

A response function framework for the dynamics of meandering or large-core spiral waves and modulated traveling waves

This is the author accepted manuscript. The final version is available from the American Physical Society via the DOI in this record.In many oscillatory or excitable systems, dynamical patterns emerge which are stationary or periodic in a moving frame of reference. Examples include traveling waves or spiral waves in chemical systems or cardiac tissue. We present a unified theoretical framework for the drift of such patterns under small external perturbations, in terms of overlap integrals between the perturbation and the adjoint critical eigenfunctions of the linearised operator (i.e. ‘response functions’). For spiral waves, the finite radius of the spiral tip trajectory as well as spiral wave meander are taken into account. Different coordinates systems can be chosen, depending on whether one wants to predict the motion of the spiral wave tip, the time-averaged tip path, or the center of the meander flower. The framework is applied to analyse the drift of a meandering spiral wave in a constant external field in different regimes.Engineering and Physical Sciences Research Council (EPSRC

Filament Tension and Phase Locking of Meandering Scroll Waves

Meandering spiral waves are often observed in excitable media such as the Belousov-Zhabotinsky reaction and cardiac tissue. We derive a theory for drift dynamics of meandering rotors in general reaction-diffusion systems and apply it to two types of external disturbances: an external field and curvature-induced drift in three dimensions. We find two distinct regimes: with small filament curvature, meandering scroll waves exhibit filament tension, whose sign determines the stability and drift direction. In the regimes of strong external fields or meandering motion close to resonance, however, phase locking of the meander pattern is predicted and observed

One pot ‘click’ reactions: tandem enantioselective biocatalytic epoxide ring opening and [3+2] azide alkyne cycloaddition

Halohydrin dehalogenase (HheC) can perform enantioselective azidolysis of aromatic epoxides to 1,2-azido alcohols which are subsequently ligated to alkynes producing chiral hydroxy triazoles in a one-pot procedure with excellent enantiomeric excess.

Drift of scrollwaves in a mathematical model of a heterogeneous human heart left ventricle

Rotating spiral waves of electrical excitation underlie many dangerous cardiac arrhythmias. The heterogeneity of myocardium is one of the factors that affects the dynamics of such waves. In this paper, we present results of our simulations for scroll wave dynamics in a heterogeneous model of the human left ventricle with analytical anatomically based representation of the geometry and anisotropy. We used a set of 18 coupled differential equations developed by ten Tusscher and Panfilov (TP06 model) which describes human ventricular cells based on their measured biophysical properties. We found that apicobasal heterogeneity dramatically changes the scroll wave dynamics. In the homogeneous model, the scroll wave annihilates at the base, but the moderate heterogeneity causes the wave to move to the apex and then continuously rotates around it. The rotation speed increased with the degree of the heterogeneity. However, for large heterogeneity, we observed formation of additional wavebreaks and the onset of complex spatio-temporal patterns. Transmural heterogeneity did not change the dynamics and decreased the lifetime of the scroll wave with an increase in heterogeneity. Results of our numerical experiments show that the apex may be a preferable location of the scroll wave, which may be important for development of clinical interventions. © 2020 by the authors.AAAA-A18-118020590031-8Russian Foundation for Basic Research, RFBR: 18-29-13008Russian Science Foundation, RSF: 14-35-00005Ural Federal University, UrFUP.K., S.P., O.S., and A.V.P. were funded by the Russian Science Foundation (project 14-35-00005). A.V.P., P.K., and O.S. were funded by the Russian Foundation for Basic Research (#18-29-13008). A.V.P. and O.S. were funded by RF Government Act #211 of 16 March 2013 (agreement 02. A03.21.0006). P.K. and O.S. work was carried out within the framework of the IIF UrB RAS theme No. AAAA-A18-118020590031-8. A.V.P. and H.D. were partially funded by BOF Ghent University. Simulations were performed at the supercomputer Uran of Institute of Mathematics and Mechanics (Ekaterinburg, Russia) and at the supercomputer of Ural Federal University (Ekaterinburg, Russia)

November 12, 1976

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