Blood coagulation is regulated through a complex network of biochemical reactions of blood factors. The main acting enzyme is thrombin whose propagation in blood plasma leads to fibrin clot formation. Spontaneous clot formation is normally controlled through the action of different plasma inhibitors, in particular, through the thrombin binding by antithrombin. In the current study we develop a mathematical model of clot formation both in quiescent plasma and in blood flow and determine the analytical conditions on the antithrombin concentration corresponding (...) to different regimes of blood coagulation. (shrink)

Darwin described biological species as groups of morphologically similar individuals. These groups of individuals can split into several subgroups due to natural selection, resulting in the emergence of new species. Some species can stay stable without the appearance of a new species, some others can disappear or evolve. Some of these evolutionary patterns were described in our previous works independently of each other. In this work we have developed a single model which allows us to reproduce the principal patterns in (...) Darwin’s diagram. Some more complex evolutionary patterns are also observed. The relation between Darwin’s definition of species, stated above, and Mayr’s definition of species is also discussed. (shrink)

This chapter contains sections titled: Notes.

This book is about the relationship between necessary reasoning and visual experience in Charles S. Peirce’s mathematical philosophy. It presents mathematics as a science that presupposes a special imaginative connection between our responsiveness to reasons and our most fundamental perceptual intuitions about space and time. Central to this view on the nature of mathematics is Peirce’s idea of diagrammatic reasoning. In practicing this kind of reasoning, one treats diagrams not simply as external auxiliary tools, but rather as immediate visualizations of (...) the very process of the reasoning itself. Thus conceived, one's capacity to diagram their thought reveals a set of characteristics common to ordinary language, visual perception, and necessary mathematical reasoning. The book offers an original synthetic approach that allows tracing the roots of Peirce’s conception of a diagram in certain patterns of interrelation between his semiotics, his pragmaticist philosophy, his logical and mathematical ideas, bits and pieces of his biography, his personal intellectual predispositions, and his scientific practice as an applied mathematician. (shrink)

Notizie biografiche. -- Il "Principe." -- I "Discorsi sopra la prima deca di Tito Livio." -- Le "Istorie florentine.".

Nonlocal reaction–diffusion equations describe various biological and biomedical applications. Their mathematical properties are essentially different in comparison with the local equations, and this difference can lead to important biological implications. This review will present the state of the art in the investigation of nonlocal reaction–diffusion models in biomedical applications. We will consider various models arising in mathematical immunology, neuroscience, cancer modelling, and we will discuss their mathematical properties, nonlinear dynamics, resulting spatiotemporal patterns and biological significance.

We propose to study the wound healing in Zebrafish by using firstly a differential approach for modelling morphogens diffusion and cell chemotactic motion, and secondly a hybrid model of tissue regeneration, where cells are considered as individual objects and molecular concentrations are described by partial differential equations.

Fictif, artificiel, imaginaire, trompeur, immatériel, irréel, impalpable, invisible, mystérieux... Lorsque l'on pense au virtuel, une foule d'idées nous submerge. Concept aux valeurs sémantiques multiformes et aux différents usages, sa signification reste floue et son sens en perpétuel mouvement. Qu'est-ce " réellement " que le virtuel? Quel rapport entre le sens philosophique et son emploi dans le domaine du numérique? Quelles sont ses implications politiques? Quelle conception de la réalité en découle?Ce livre se veut une cartographie offrant des repères stables pour (...) s'orienter et naviguer à travers le concept de virtuel. L'effet d'un phare en plein brouillard... Ainsi, le présent ouvrage expose et analyse plusieurs aspects de la cryptographie et leurs interactions avec les avancées théoriques et pratiques de plusieurs disciplines scientifiques et techniques. (shrink)

A hybrid model of cell dynamics is presented. It is illustrated by model examples and applied to study erythropoiesis (red blood cell production). In this approach, cells are considered as discrete objects while intra-cellular proteins and extra-cellular biochemical substances are described with continuous models. Spatial organization of erythropoiesis occurring in specific structures of the bone marrow, called erythroblastic island, is investigated.

Philosophers analyze the last of the great rock stars.

The paper focuses on the review of current literature on formal philosophy. Special attention is paid to the review of the book «Introduction to Formal Philosophy» [Hansson, Hendricks, 2018]. The book is a consistent introduction to the problems of formal philosophy, a research tradition that relies on the precise mathematical tools in order to study traditional philosophical problems. The methods of formal philosophy are successfully applied not only to the problems of ontology, epistemology and philosophy of language but also relevant (...) for the problems of ethics, axiology and social philosophy. The book demonstrates that it is not correct to identify formal philosophy with another area of study – philosophical logic, since formal philosophy uses not only logical methods of analysis, but also uses the tools of game theory, decision theory, probability theory, Bayesian statistics, and other theories. Although the book has a propaedeutic character, it also contains some open problems. These problems include the aggregation of the opinions of the group under the condition of a conflicting base of premises in the theory of public choice, there are still open problems in the interpretation of Arrow’s impossibility theorem and others. Certainly, formalization in itself is not a general solution to the particular philosophical problem, but only a tool that allows to formulate a problem in a more rigorous and precise way, which sometimes allows to reveal some unexpected consequences, some implicit contradictions and new solutions. Despite the importance of the concept of coherence in ethics, decision theory, philosophy of law, Bayesian epistemology, philosophy of science, the existing formalizations of the concept of coherence are highly specialized for epistemology, researchers recognize the lack of the relevant explanatory models. Overall, the book is an excellent introduction in to the field of formal philosophy, which provides a general overview of different aspects of formal philosophy and the opportunity to study particular research topics by means of an extensive bibliography accompanying each of the chapters. (shrink)

In spite of all the industrious efforts Peirce scholars have made so far, Peirce’s biography still retains a number of gaps, among which the problem of identity of Peirce’s second wife, Juliette Froissy, stands out most significantly. It is all the more important that, as some scholars suggest, the discovery of any reliable facts about Juliette could provide an explanation to some of the decisions Peirce had made, which irrevocably changed the course of his life, as well as his semiotic (...) theory. By courtesy of Professor Dr. Nathan Houser and the Peirce Edition Project, the writer of the present paper was granted access to the archive materials containing the Max H. Fisch — Maurice Auger correspondence and Victor Lenzen’s notes on Juliette. The paper aims at arranging the dispersed data obtained from these and other sources into a set of several distinct versions, which curiously refer to each other and collectively impose a certain order on some major abductions concerning Juliette’s identity. (shrink)

The relationship between logic and ethics is one of the basic and most essential questions of classical philosophical analysis. Since the time of the Pythagoreans, the fundamental unity of the two – whether by means of vague intuition, an elaborate conceptual scheme, or even a carefully crafted lifestyle – has led philosophers to identify truth and virtue. In his critical philosophy Kant put this unity of truth and virtue to extensive and rigorous trial to determine what conditions, if any, a...

The conception of two kinds of practical identities, which Korsgaard introduces in the Sources of Normativity, helps her explain how universal categorical reasoning is compatible with the moral content of individual practical decisions. Based on this conception, she devises an interpretation of the Kantian as if principle amended by her argument for the public shareability of reasons. I suggest that, in doing so, Korsgaard steps too far away from Kant’s architectonic approach to the question of why moral norms bind us, (...) and that, as a result, the Korsgaardian explanation, as it stands, cannot be accomplished. (shrink)

In The Sources of Normativity Korsgaard introduces her conception of practical identities understood as the source of moral obligations. This conception forms a point of transition from Korsgaard’s theory of action to her solution to the problem of the authority of moral norms. In order to describe how universal categorical reasoning is compatible with the moral content of particular practical decisions, Korsgaard needs to show how our contingent practical identities can be reconciled with what she defines as the universally shared (...) identity that expresses our humanity. To make this reconciliation work, she devises an argument for the public shareability of reasons amended by her reinterpretation of the Kantian as if principle. I suggest that, in doing so, Korsgaard steps too far away from Kant’s architectonic approach to the question of why moral norms bind us, and that, consequently, the Korsgaardian reconciliation between the two kinds of identities, as it stands, cannot be accomplished. (shrink)

InMind and World,John McDowell claims that we need to steer our way between bald naturalism and rampant platonism as two ways to explain our capacity to use concepts. Performing this task requires an explanation of how concepts can be both socially charged and, at the same time, genuinely involving the world as it really is. I suggest that McDowell’s explanation is insufficient and that Wilfrid Sellars’s idea of sense impressions might be used to clarify the relationship between social practices and (...) conceptual knowledge without incurring too much damage to the overall architectonics of McDowell’s theory.DansMind and World, John McDowell affirme que nous devons nous éloigner du naturalisme dépouillé et du platonisme exubérant comme étant deux manières d’expliquer notre capacité à utiliser des concepts. Pour accomplir cette tâche, il est nécessaire d’expliquer comment les concepts peuvent être à la fois chargés socialement et réellement engagés avec le monde tel qu’il est. Je suggère que l’explication de McDowell est insuffisante et que l’idée de Wilfrid Sellars des impressions sensorielles peut être utilisée pour clarifier la relation entre les pratiques sociales et la connaissance conceptuelle, et ceci sans faire encourir trop de dégâts à l’architectonique générale de la théorie de McDowell. (shrink)

This paper compares Charles Peirce’s and Robert Brandom’s conceptions of normative objectivity. According to Brandom, discursive norms are instituted by practical attitudes of the members of a community, and yet the objectivity of these norms is not reducible to social consensus. Peirce’s conception of normative objectivity, on the contrary, is rooted in his idea of a community of inquiry, which presupposes a consensus achievable in the long run. The central challenge in both cases is to explain how the norms that (...) all members of a community take to be correct differ from those that are correct objectively. I argue that, in meeting the challenge of reconciling the social character of knowledge and the objectivity of norms shared by a community of knowers, Brandom’s approach might benefit from the Peircean idea of the ultimate agreement. (shrink)

The present paper is aimed at showing some correlations between Charles Peirce’s life, his intellectual habits as a logician and mathematician, his semiotic theory and his practice as a geodesist. For this purpose, it makes use of Peirce’s ideas about the nature of visual experience, some facts of his intellectual biography, and his definitions of sign and the term “virtual.” It appears that Peirce’s mature pragmatist and semiotic ideas find some support in his early practice as a scientist and a (...) mathematician, thus providing an interesting example of the intersection of scientific practice and philosophical speculation. (shrink)

The era of the Tang dynasty was a period of great flourishing of all aspects of Chinese culture, when changes covered the most diverse spheres of philosophy, art and literature. The article examines the role played in this cultural transformation by translations from Sanskrit into Chinese of the religious and philosophical texts of Indian Buddhism. The specificity of the Chinese approach to the translation of Indian texts is demonstrated, when, at the initial stage, many works were translated in a rather (...) free style due to the lack of precisely established correspondences between Sanskrit and Chinese philosophical terms. The authors identify two additional factors that influenced the nature of the translations. Firstly, this is the requirement of compliance with the norms of public, mainly Confucian, morality. Secondly, the adaptation of the Indian philosophical context to the Chinese cultural and worldview traditions, which led to the emergence of new schools of religious and philosophical thought that were not known in India itself, such as Tiantai, Jingtu or Chan, each of which in its own way influenced the art of the Medieval China. Special attention is paid to the activities of the legendary translator, Xuanzang, whose travel to India gave a huge impetus to the development of Chinese philosophy in subsequent centuries, as well as to the contribution to Chinese culture and art, which was made by the translation activities of the three great teachers of the Tang era Shubhakarasimha, Vajrabodhi and Amoghavajra. (shrink)

The article examines a number of issues related to the specifics of information dissemination under the conditions of communicative practice of both an individual level and the functioning of mass media. The main attention is paid to the issue of the deliberate spread of disinformation. In this context, the phenomenon of "hybrid war" and the place of the information component in it, the issue of using narratives as an effective means of mass information damage, and the specifics of the process (...) of "devaluation of the word". The need to develop mechanisms to counteract the phenomena of "abuse of freedom of speech" and "simulative democracy" to ensure the survival and sustainable development of democratic societies is substantiated. (shrink)

The paper aims to disclosure of key points in the development of the German tradition of historiography of philosophy after the 90s of the 18th century. The starting point was the so-called «dispute about the method» of historiography, which erupted in the last decade of the 18th century not without the influence of Kant’s «critical philosophy». Its participants (Reinhold, Fülleborn, Goess, Grohmann, Tennemann, and others) put forward different theses, but they agreed that it is Kant’s philosophy that makes it possible (...) to create a «philosophical history of philosophy». A type of historiography was formed, which was based on the criterion of «progress of philosophy» and Kant’s position was considered as a standard for any historiography. Subsequently, other types of historiography were formed, which followed either the opposite criterion of «regress» or «decadence», or tried to combine both of these criteria (Hegel). In the second half of the 19th century «history of problems» becomes widespread as a principle of research and presentation of the history of philosophy, its main representatives were W. Windelband, N. Hartmann, H. Heimsoeth. Instead, in the second half of the 20th century the dominant type of historiography is the «history of concepts», which finds linguistic and philosophical justification in Gadamer’s philosophical hermeneutics. In recent decades, the German tradition of historiography has been enriched by K. Flasсh’s project «historical philosophy» and by D. Henrich program «constellation research». In both of these projects, there is a noticeable attraction to microhistory, going beyond the «classic» texts, discovering hitherto unknown figures and sources that significantly expand the established practice of the historiography of philosophy. (shrink)

The article analyzes the concept of «reception», which has recently gained popularity, but remains not sufficiently clarified in studies of the history of philosophy. It is assumed that the concept has become the subject of explicit methodological reflection only in the reception aesthetics (Rezeptionsästhetik) of the Constance School of Literary Studies, where it not only opposes the concept of influence, but is interpreted in the context of a horizontal structure for text understanding. At the same time, it is important to (...) distinguish not only the «historical horizon» and the «horizon of modernity» (Gadamer), but also the «horizon of expectations» in its duality: both coded in the text itself and the life practice of the reader, «inter literary» and «external literary» horizons of expectation. The empirical trend of the reception study, developed later, makes it possible to formulate a number of specific proposals for the methodology of historical and philosophical research, which focuses on the principle of «history of receptions». It is clear that only «reproductive» and «productive» reception categories are relevant to this type of research. In particular, it is an analysis of the institutional prerequisites for the reception, the classification of the source base of that received, the channels (re)broadcast of that received, the specification of the types of scientific communication, the tradition determined positive or negative factors of reception, the status of philosophy in particular historical periods. (shrink)

The review introduces the main topics of the reports of the seminar participants of the Kant Society in Ukraine, held at the National University “Kyiv-Mohyla Academy” in December 2019. The speakers focused on the interpretation of I. Kant’s note on the “great light” in various historical and systematic contexts: from the evolution of the doctrine of space through the problem of metaphysical cognition and the new theory of judgment down to the concepts of normativity and conceptuality of human cognition.

This paper deals with the so-called “external history” of the origin of Critique of the power of judgment that is based primarily on the philosopher’s correspondence in the period between May 1787 and October 1789. Two letters from Kant to Reinhold (28.12.1787 and 12.05.1789) as well as modifications in the interpretation of the term “aesthetics” in the first Critique (KrVA 22, B 35-36) are crucial for the evolution of the project Critique of Taste in the book Critique of the Power (...) of Judgment. Special attention was paid to the debate between some modern scholars and editors about the importance of the reports on ‘Grundlegung’ / ‘Grundlage’ of Critique of Taste in the initial phase of work on the text. However, the available evidence does not allow us to reconstruct the “internal history” of the development of Kant’s thought during the period of writing the third Critique. Some modern scholars try to establish other objective criteria for this kind of reconstruction by identification in the text of Critique direct or hidden hints or citations to the literature of the 18th century. The author considers that the use of so-called “reflections” from the philosopher’s manuscript heritage, which can be seen as the formation and development of certain concepts of Kant’s theory, can be fruitful. The well-known problem of dating the reflections can be partially solved if terminus a quo will be not the published works, but Kant’s lectures on anthropology and logic taught at that time. (shrink)