We introduce CE- cell decomposition , a modified version of the usual o-minimal cell decomposition. We show that if an o-minimal structure $\mathcal{R}$ admits CE-cell decomposition then any definable open set in $\mathcal{R}$ may be expressed as a finite union of definable open cells. The dense linear ordering and linear o-minimal expansions of ordered abelian groups are examples of such structures.

Continuous extension cell decomposition in o-minimal structures was introduced by Simon Andrews to establish the open cell property in those structures. Here, we define strong $\mathrm{CE}$-cells in weakly o-minimal structures, and prove that every weakly o-minimal structure with strong cell decomposition has $\mathrm{SCE}$-cell decomposition if and only if its canonical o-minimal extension has $\mathrm{CE}$-cell decomposition. Then, we show that every weakly o-minimal structure with $\mathrm{SCE}$-cell decomposition satisfies $\mathrm{OCP}$. Our last result implies that (...) every o-minimal structure in which every definable open set is a union of finitely many open $\mathrm{CE}$-cells, has $\mathrm{CE}$-cell decomposition. (shrink)

We perceive colour, shape, sound and touch 'bound together' in a single experience. The following arguments about this binding phenomenon are raised: (1) The individual signals passing from neurone to neurone are not bound together, whether as elements of information or physically. (2) Within a single cell, binding in terms of bringing together of information is potentially feasible. A physical substrate may also be available. (3) It is therefore proposed that a bound conscious experience must be a property (...) of an individual cell, not of a group of cells. Since it is unlikely that one specific neurone is conscious, it is suggested that every neurone has a version of our consciousness, or at least some form of sentience. However absurd this may seem it appears to be consistent with the available evidence; arguably the only explanation that is. It probably does not alter the way we should expect to experience the world, but may help to explain the ways we seem to differ from digital computers and some of the paradoxes seen in mental illness. It predicts non-digital features of intracellular computation, for which there is already evidence, and which should be open to further experimental exploration. The arguments given may well prove flawed or the conclusion biologically or physically untenable, but the idea is raised for discussion not least because a formal demonstration that it is invalid may help to identify more fruitful avenues. (shrink)

Recent reports that human pluripotent stem cells can be captured in a spectrum of states with variable properties has prompted a re‐evaluation of how pluripotency is acquired and stabilised. The latest additions to the stem cell hierarchy open up opportunities for understanding human development, reprogramming, and cell state transitions more generally. Many of the new cell lines have been collectively termed ‘naïve’ human pluripotent stem cells to distinguish them from the conventional ‘primed’ cells. Here, several transcriptional (...) and epigenetic hallmarks of human pluripotent states in the recently described cell lines are reviewed and evaluated. Methods to derive and identify human naïve pluripotent stem cells are also discussed, with a focus on the uses and future developments of state‐specific reporter cell lines and cell‐surface proteins. Finally, opportunities and uncertainties in naïve stem cell biology are highlighted, and the current limitations of human naïve pluripotent stem cells considered, particularly in the context of differentiation. (shrink)

Unlike eggs and diatoms, most single cells in nature do not have structured shells to provide extensive protection. It is a challenge to artificially confer shell structures on living cells to improve their inherent properties and functions. We discuss four different types of cellular shellizations: man‐made hydrogels, sol‐gels, polyelectrolytes, and mineral shells. We also explore potential applications, such as cell storage, protection, delivery, and therapy. We suggest that shellization could provide another means to regulate and functionalize cells. Specifically, the (...) integration of living cells and non‐living functional shells may be developed as a novel strategy to create “super” or intelligent cells. Unlike biological approaches, this material‐based bio‐interface regulation is inexpensive, effective, and convenient, opening up a novel avenue for cell‐based technologies and practices. (shrink)

The concept of the cortical column refers to vertical cell bands with similar response properties, which were initially observed by Vernon Mountcastle’s mapping of single cell recordings in the cat somatic cortex. It has subsequently guided over 50 years of neuroscientific research, in which fundamental questions about the modularity of the cortex and basic principles of sensory information processing were empirically investigated. Nevertheless, the status of the column remains controversial today, as skeptical commentators proclaim that the vertical (...) class='Hi'>cell bands are a functionally insignificant by-product of ontogenetic development. This paper inquires how the column came to be viewed as an elementary unit of the cortex from Mountcastle’s discovery in 1955 until David Hubel and Torsten Wiesel’s reception of the Nobel Prize in 1981. I first argue that Mountcastle’s vertical electrode recordings served as criteria for applying the column concept to electrophysiological data. In contrast to previous authors, I claim that this move from electrophysiological data to the phenomenon of columnar responses was concept-laden, but not theory-laden. In the second part of the paper, I argue that Mountcastle’s criteria provided Hubel Wiesel with a conceptual outlook, i.e. it allowed them to anticipate columnar patterns in the cat and macaque visual cortex. I argue that in the late 1970s, this outlook only briefly took a form that one could call a ‘theory’ of the cerebral cortex, before new experimental techniques started to diversify column research. I end by showing how this account of early column research fits into a larger project that follows the conceptual development of the column into the present. (shrink)

We prove that in a semi-bounded o-minimal expansion of an ordered group every non-empty open definable set is a finite union of open cells.

In this Article we explore the evolution of property law and examine the applicability of the prevailing accounts according to which property institutions oscillate between the extreme points of open access and private property. We show that the evolution of property is a much more nuanced process, shaped by the interplay of the following three dimensions: number of owners, extent of dominion and asset configuration. Accordingly, property institutions can assume a myriad of positions along (...) the aforementioned dimensions in response to the constant change in exclusion and management costs. We demonstrate our theory by discussing examples of three dimensional adjustments of real, personal and intellectual property. (shrink)

Strong cell decomposition property has been proved in non-valuational weakly o-minimal expansions of ordered groups. In this note, we show that all o-minimal traces have strong cell decomposition property. Also after introducing the notion of irrational nonvaluational cut in arbitrary o-minimal structures, we show that every expansion of o-minimal structures by irrational nonvaluational cuts is an o-minimal trace.

Open science (OS) is considered the new paradigm for science and knowledge dissemination. OS fosters cooperative work and new ways of distributing knowledge by promoting effective data sharing (as early and broadly as possible) and a dynamic exchange of research outcomes, not only publications. On the other hand, intellectual property (IP) legislation seeks to balance the moral and economic rights of creators and inventors with the wider interests and needs of society. Managing knowledge outcomes in a new (...) class='Hi'>open research and innovation ecosystem is challenging and should become part of the EU’s IP strategy, underpinning EU policies with the new open science–open innovation paradigm. (shrink)

We analyze combinatorial properties of open covers of sets of real numbers by using filters on the natural numbers. In fact, the goal of this paper is to characterize known properties related to ω-covers of the space in terms of combinatorial properties of filters associated with these ω-covers. As an example, we show that all finite powers of a set R of real numbers have the covering property of Menger if, and only if, each filter on ω associated (...) with its countable ω-cover is a P + filter. (shrink)

To address the possibility that proliferative disorders may originate from interactions between multiple populations of proliferating and maturing cells, we formulate a model for this process as a set of coupled nonlinear first order partial differential equations. Using recent results for the asymptotic behaviour of the solutions to this model, we demonstrate that there exists a region of coupling coefficients, maturation rates, and proliferation rates that will guarantee the stable coexistence of coupled cellular populations. The analysis shows that increases in (...) the coupling between populations may ultimately lead to a loss of stability. Furthermore, the analysis indicates that increases (decreases) in the maturation and/or proliferation rates above (below) critical levels will lead either to instability in the populations or the destruction of one population and the persistence of the other. (shrink)

The concept of time-coarsened density matrix for open systems has frequently featured in equilibrium and non-equilibrium statistical mechanics, without being probed as to the detailed consequences of the time averaging procedure. In this work we introduce and prove the need for a selective and non-uniform time-sampling, whose form depends on the properties of the bath. It is also applicable when an open microscopic sub-system is coupled to another finite system. By use of a time-periodic minimal coupling model between (...) these two systems, we present detailed quantitative consequences of time coarsening, which include initial state independence of equilibration, deviations from long term averages, their environment size dependence and the approach to classicality, as measured by a Leggett–Garg type inequality. An interacting multiple qubit model affords comparison between the time integrating procedure and the more conventional environment tracing method. (shrink)

This article contributes to the current debate on human embryonic stem cell researchers’ possible complicity in the destruction of human embryos and the relevance of such complicity for the issue of commodification of human embryos. I will discuss if, and to what extent, researchers who destroy human embryos, and researchers who merely use human embryos destroyed by others, have moral use rights, and/or moral property rights, in these embryos. I argue that the moral status of the human embryo, (...) however justified, places few restrictions on the latter researchers’ use of it, and property rights in it, once it is destroyed. I argue that the former researchers have no property rights in the destroyed embryo but use rights in it to the extent allowed by the legitimate owners of the destroyed embryo. I discuss the implications of this account for previous and current US federal law regulating human embryonic stem cell research. (shrink)

The models of normal open induction are those discretely ordered rings, integrally closed in their fraction field whose nonnegative part satisfy Peano's induction axioms for open formulas in the language of ordered semirings.It is known that neither open induction nor the usually studied stronger fragments of arithmetic , have the joint embedding property.We prove that normal models of open induction have the joint embedding property.

This paper explores the notions of hope and how individual patient autonomy can trump carefully reasoned ethical concerns and policies intended to regulate stem cell transplants. We argue that the same limits of knowledge that inform arguments to restrain and regulate unproven treatments might also undermine our ability to comprehensively dismiss or condemn them. Incautiously or indiscriminately reasoned policies and attitudes may drive critical information and data underground, impel patients away from working with clinical researchers, and tread needlessly on (...) hope, the essential motivator of patients, advocates and researchers alike. We offer recommendations to clinicians and health care providers to help balance the discourse with individuals seeking treatment while guarding against fraud, misconception, and patient harm. (shrink)

‘Six Degrees of Separation’ is analogous to what we have come to know as the origins of the ‘social network’ (social network service, social network software or SNS). In our time, the application of the ‘social network’ has become a common mode of living shared ubiquitously by different societies, cultures and communities. With the popularity of open source technology, the creation of social networks is no longer the exclusive domain of professional computer programmers. In China, social networking has also (...) become the new focus of new media artists, who are extremely sensitive to materials and creative media. The current article bases its analysis on the collaboration between American artist Max Kazemzadeh and the Jackie Chan Charitable Foundation Beijing in the exhibition of Max’s interactive work ‘Wishing Well’ in China, trying to showcase the intriguing interaction between the social network service, human beings and Chinese society, and inviting the reader to re-examine the role and duties of an artist in our time. (shrink)

Talk of different types of cells is commonplace in the biological sciences. We know a great deal, for example, about human muscle cells by studying the same type of cells in mice. Information about cell type is apparently largely projectible across species boundaries. But what defines cell type? Do cells come pre-packaged into different natural kinds? Philosophical attention to these questions has been extremely limited [see e.g., Wilson (Species: New Interdisciplinary Essays, pp 187–207, 1999; Genes and the Agents (...) of Life, 2005; Wilson et al. Philos Top 35(1/2):189–215, 2007)]. On the face of it, the problems we face in individuating cellular kinds resemble those biologists and philosophers of biology encountered in thinking about species: there are apparently many different (and interconnected) bases on which we might legitimately classify cells. We could, for example, focus on their developmental history (a sort of analogue to a species’ evolutionary history); or we might divide on the basis of certain structural features, functional role, location within larger systems, and so on. In this paper, I sketch an approach to cellular kinds inspired by Boyd’s Homeostatic Property Cluster Theory, applying some lessons from this application back to general questions about the nature of natural kinds. (shrink)

The cyclic GMP-gated channel responds to changes in free intracellular cGMP, and as a result, it plays a central role in the phototransduction process in rod and cone photoreceptor cells. Recent biochemical, immunochemical, and molecular biology studies indicate that this channel consists of a complex of two distinct subunits and one or more associated proteins. Primary structural analysis indicates that the a and (3 subunits contain a cGMP-binding domain, an even number of membrane-spanning segments, a voltage sensor motif and a (...) pore region. The latter two features are found in voltage-gated channels and suggest that these two classes of channels have evolved from the same ancestral channel protein. A working model for the membrane topography of the channel subunits is proposed based on immunogold labeling studies and sequence analysis. Recent studies also indicate that calmodulin binds to the 240 kDa protein of the channel complex and modulates the sensitivity of the channel for cGMP in a Ca2+-dependent manner. The molecular properties of the channel complex and the possible role of Ca2+-calmodulin modulation of the channel during photoactivation and photorecovery are discussed in relation to the current mechanism of phototransduction in photoreceptor cells. (shrink)

One theme in complaints from those with marginalized social identities is that they are seen primarily in terms of that identity. Some Black artists, for instance, complain about being seen as Black first and artists second. These individuals can be understood as objecting to a particularly subtle form of morally problematic attention: “relative attentional surplus on the wrong property.” This attentional surplus can coexist with another type of common problematic attention affecting these groups, including attentional deficits; marginalized individuals and (...) groups themselves are routinely insufficiently attended to in virtue of the surplus attention given to their social identity properties. (shrink)

The cellular basis of motor learning in the cerebellum has been attributed mostly to long-term depression (LTD) at excitatory parallel fiber (PF)-Purkinje cell (PC) synapses. LTD is induced when PFs are activated in conjunction with a climbing fiber (CF), the other excitatory input to PCs. Recently, by using whole-cell patch-clamp recording from PCs in cerebellar slices, a new form of synaptic plasticity was discovered. Stimulation of excitatory CFs induced a long-lasting (usually longer than 30 min) of 30 sec) (...) and the durations of RP (>30 min) strongly suggests that some intracellular biochemical machinery is involved. Pharmacological evidence suggests that protein kinases are involved in RP of inhibitory synapses and LTD of excitatory PF synapses. Besides the well-described LTD, RP could be a cellular mechanism that plays an important role in motor learning. (shrink)

Let $$ {\mathcal {M}}=(M, <, \ldots ) $$ be a weakly o-minimal structure. Assume that $$ {\mathcal {D}}ef({\mathcal {M}})$$ is the collection of all definable sets of $$ {\mathcal {M}} $$ and for any $$ m\in {\mathbb {N}} $$, $$ {\mathcal {D}}ef_m({\mathcal {M}}) $$ is the collection of all definable subsets of $$ M^m $$ in $$ {\mathcal {M}} $$. We show that the structure $$ {\mathcal {M}} $$ has the strong cell decomposition property if and only if (...) there is an o-minimal structure $$ {\mathcal {N}} $$ such that $$ {\mathcal {D}}ef({\mathcal {M}})=\{Y\cap M^m: \ m\in {\mathbb {N}}, Y\in {\mathcal {D}}ef_m({\mathcal {N}})\} $$. Using this result, we prove that: (a) Every induced structure has the strong cell decomposition property. (b) The structure $$ {\mathcal {M}} $$ has the strong cell decomposition property if and only if the weakly o-minimal structure $$ {\mathcal {M}}^*_M $$ has the strong cell decomposition property. Also we examine some properties of non-valuational weakly o-minimal structures in the context of weakly o-minimal structures admitting the strong cell decomposition property. (shrink)

Mitotic entry and exit are switch‐like transitions that are driven by the activation and inactivation of Cdk1 and mitotic cyclins. This simple on/off reaction turns out to be a complex interplay of various reversible reactions, feedback loops, and thresholds that involve both the direct regulators of Cdk1 and its counteracting phosphatases. In this review, we summarize the interplay of the major components of the system and discuss how they work together to generate robustness, bistability, and irreversibility. We propose that it (...) may be beneficial to regard the entry and exit reactions as two separate reversible switches that are distinguished by differences in the state of phosphatase activity, mitotic proteolysis, and a dramatic rearrangement of cellular components after nuclear envelope breakdown, and discuss how the major Cdk1 activity thresholds could be determined for these transitions. (shrink)

According to vitalism, living organisms differ from machines and all other inanimate objects by being endowed with an indwelling immaterial directive agency, ‘vital force,’ or entelechy . While support for vitalism fell away in the late nineteenth century many biologists in the early twentieth century embraced a non vitalist philosophy variously termed organicism/holism/emergentism which aimed at replacing the actions of an immaterial spirit with what was seen as an equivalent but perfectly natural agency—the emergent autonomous activity of the whole organism. (...) Organicists hold that organisms unlike machines are ‘more than the sum of their parts’ and predict that the vital properties of living things can never be explained in terms of mechanical analogies and that the reductionist agenda is doomed to failure. Here we review the current status of the mechanist and organicist conceptions of life particularly as they apply to the cell. We argue that despite the advances in biological knowledge over the past six decades since the molecular biological revolution, especially in the fields of genetics and cell biology the unique properties of living cells have still not been simulated in mechanical systems nor yielded to reductionist—analytical explanations. And we conclude that despite the dominance of the mechanistic–reductionist paradigm through most of the past century the possibility of a twentyfirst century organicist revival cannot be easily discounted. (shrink)

Much of the current research in regenerative medicine concentrates on stem-cell therapy that exploits the regenerative capacities of stem cells when injected into different types of human tissues. Although new therapeutic paths have been opened up by induced pluripotent cells and human mesenchymal cells, the rate of success is still low and mainly due to the difficulties of managing cell proliferation and differentiation, giving rise to non-controlled stem cell differentiation that ultimately leads to cancer. Despite being still (...) far from becoming a reality, these studies highlight the role of physical and biological constraints (e.g., cues and morphogenetic fields) placed by tissue microenvironment on stem cell fate. This asks for a clarification of the coupling of stem cells and microenvironmental factors in regenerative medicine. We argue that extracellular matrix and stem cells have a causal reciprocal and asymmetric relationship in that the 3D organization and composition of the extracellular matrix establish a spatial, temporal, and mechanical control over the fate of stem cells, which enable them to interact and control (as well as be controlled by) the cellular components and soluble factors of microenvironment. Such an account clarifies the notions of stemness and stem cell regeneration consistently with that of microenvironment. (shrink)

This chapter contains sections titled: Introduction The Republicanism of Rawls's Liberalism: An Open Question Property‐Owning Democracy Justice and Stability Tocqueville on the Ills of Democratic Personality The Republican Response Some Objections Conclusion: Lessons for Republicans and Liberals References.

Germ cells are cross-roads of development and evolution. They define the origin of every new generation and, at the same time, represent the biological end-product of any mature organism. Germ cells are endowed with the following capacities: to store a self-descriptive program, to accumulate a protein-synthesizing machinery, and to incorporate enough nourishment to sustain embryonic development. To accomplish this goal, germ cells do not simply unfold a pre-determined program or realize a sole instructive role. On the contrary, due to the (...) complexity of their cytoarchitecture and the nature of the soma-to-germ interactions, they are heavily involved in processes of sign recognition and meaningful tissue exploration. At each stage of their inward migration, germ plasma membranes act as semiotic interfaces allowing cells to interact with the surrounding extracellular milieu and experience the compatibility of selected developmental sequences. The question of which signaling pathways are activated at each developmental stage does not result from a strictly predetermined program instructing germ cell stemness. Rather, each developmental sequence is an open-ended semiotic relationship explored and gradually defined during evolution by the context-dependency of specific cell-to-cell interactions. In this way, any structural and functional novelty that has emerged in the course of germ cell interactions may be interpreted as an exaptation fixed in the species genome in response to specific environmental constraints. (shrink)

We prove that forp-optimal fields a cell decomposition theorem follows from methods going back to Denef’s paper [7]. We derive from it the existence of definable Skolem functions and strongp-minimality. Then we turn to stronglyp-minimal fields satisfying the Extreme Value Property—a property which in particular holds in fields which are elementarily equivalent to ap-adic one. For such fieldsK, we prove that every definable subset ofK×Kdwhose fibers overKare inverse images by the valuation of subsets of the value group (...) is semialgebraic. Combining the two we get a preparation theorem for definable functions onp-optimal fields satisfying the Extreme Value Property, from which it follows that infinite sets definable over such fields are in definable bijection iff they have the same dimension. (shrink)

C-minimality is a variant of o-minimality in which structures carry, instead of a linear ordering, a ternary relation interpretable in a natural way on set of maximal chains of a tree. This notion is discussed, a cell-decomposition theorem for C-minimal structures is proved, and a notion of dimension is introduced. It is shown that C-minimal fields are precisely valued algebraically closed fields. It is also shown that, if certain specific ‘bad’ functions are not definable, then algebraic closure has the (...) exchange property, and for definable sets dimension coincides with the rank obtained from algebraic closure. (shrink)

Review by: Johanna N. Y. Franklin The Bulletin of Symbolic Logic, Volume 19, Issue 1, Page 115-118, March 2013.

Les avancées rapides dans les technologies numériques ont considérablement changé et amélioré la façon dont les données, informations et outils peuvent être diffusés, gérés, utilisés et réutilisés dans la recherche, et ont créé de nouvelles opportunités pour accélérer le progrès dans la science et l’innovation. Ces développements sont principalement dus au large mouvement formel ou informel de la peer production et à la diffusion globale de l’information mobilisant la coopération de communautés distribuées œuvrant dans des environnements en réseaux. Les initiatives (...) comme celle de Science Commons s’appuient sur un modèle économique de la science évoluant dans un environnement numérique et plus précisément sur un socle de partage et d’échange entre communautés de pairs comme modalité de production. Beaucoup d’autres initiatives de ce type sont en cours . Nous avons choisi Science Commons, dont l’objectif, au-delà de la communication scientifique, vise à accélérer la traduction des données en découverte – en débloquant tous les verrous y compris juridiques qui empêchent que la société bénéficie plus rapidement des résultats scientifiques. La philosophie et les outils pratiques de Science Commons seront décrits comme constitutifs d’une approche résolument ouverte de la connaissance scientifique, dans la lignée de la déclaration de Berlin .Rapid advances in the digital technologies have profoundly changed and improved the way in which data, information and tools can be disseminated, managed, used and re-used in research, and have created new opportunities to speed up progress in science and innovation. These developments are mainly due to an emerging broader movement in support of formal and informal « peer production » and global dissemination of information drawing on the cooperation of distributed science and knowledge communities working in open networked environments. Initiatives like the Science Commons rely on an economic model where science evolves in a digital environment, and more specifically on sharing and exchanges between peer communities as a basis for production. Many other initiatives of this kind are under way . We have chosen the Science Commons, whose objective, over and above scientific communication, is to speed up the translation of data into discovery by removing all barriers, including legal obstacles, that prevent society from enjoying the benefits of scientific results as quickly as possible. The philosophy and practical tools of the Science Commons are described as making up a resolutely open approach to scientific knowledge, as recommended by the Berlin Declaration. (shrink)

Openness is one of the most important principles in scientifi c inquiry, but there are many good reasons for maintaining secrecy in research, ranging from the desire to protect priority, credit, and intellectual property, to the need to safeguard the privacy of research participants or minimize threats to national or international security. This article examines the clash between openness and secrecy in science in light of some recent developments in information technology, business, and politics, and makes some practical suggestions (...) for resolving confl icts between openness and secrecy. (shrink)

We develop a new notion of independence (þ-independence, read "thorn"-independence) that arises from a family of ranks suggested by Scanlon (þ-ranks). We prove that in a large class of theories (including simple theories and o-minimal theories) this notion has many of the properties needed for an adequate geometric structure. We prove that þ-independence agrees with the usual independence notions in stable, supersimple and o-minimal theories. Furthermore, we give some evidence that the equivalence between forking and þ-forking in simple theories might (...) be closely related to one of the main open conjectures in simplicity theory, the stable forking conjecture. In particular, we prove that in any simple theory where the stable forking conjecture holds. þ-independence and forking independence agree. (shrink)

Actively open-minded thinking is often used as a proxy for reflective thinking in research on reasoning and related fields. It is associated with less biased reasoning in many types of tasks. However, few studies have examined its psychometric properties and criterion validity. We developed a shortened, 17-item version of the AOT for quicker administration. AOT17 is highly correlated with the original 41-item scale and has highly similar relationships to other thinking dispositions, social competence and supernatural beliefs. Our analyses revealed (...) that the AOT is not a unitary construct, but comprises four distinct dimensions, some of which concern attitudes towards knowledge, and others concern attitudes towards people. This factor structure was replicated in another data-set, and correlations with other measures in four data-sets support the criterion validity of these dimensions. Different dimensions were responsible for the AOT's relationships with other thinking dispositions. (shrink)

I argue that embryonic stem cell research is fair to the embryo, even on the assumption that the embryo has attained full personhood and an attendant right to life at conception. This is because the only feasible alternatives open to the embryo are to exist briefly in an unconscious state and be killed or to not exist at all. Hence, one is neither depriving the embryo of an enduring life it would otherwise have had nor is one causing (...) the embryo pain. I also argue that a rational agent in a situation relevantly similar to that of the embryo would consent to such research, and I use this insight to ground two justice-based arguments in favor of this research. (shrink)