Regulation of reactivated elongation in lysed cell models of teleost retinal cones by cAMP and calcium.

Teleost retinal cones elongate in the dark and contract in the light. In isolated retinas of the green sunfish Lepomis cyanellus, cone myoids undergo microtubule-dependent elongation from 5 to 45 micron. We have previously shown that cone contraction can be reactivated in motile models of cones lysed with Brij-58. Reactivated contraction is both actin and ATP dependent, activated by calcium, and inhibited by cAMP. We report here that we have obtained reactivated cone elongation in lysed models prepared by the same procedures. Reactivated elongation is ATP dependent, activated by cAMP, and inhibited by calcium. The rate of reactivated elongation is proportional to the cAMP concentration between 10 microM and 0.5 mM, but is constant between 10 microM and 1.0 mM Mg-ATP. No elongation occurs if cAMP or Mg-ATP concentration is less than or equal to 5 microM. Mg-ATP is required for both cAMP-dependent and cAMP-independent processes, suggesting that Mg-ATP is required both for a regulatory process entailing cAMP-dependent phosphorylation and for a force-producing process. Free calcium concentrations greater than or equal to 10(-7) reduce the elongation rate by 78% or more, completely inhibiting elongation at 10(-5) M. This inhibition is not due to competition from calcium-activated contraction. Cytochalasin D blocks reactivated contraction, but does not abolish calcium inhibition of reactivated elongation. Thus calcium directly affects the elongation mechanism. Calcium inhibition is calmodulin dependent. The calmodulin inhibitor trifluoperazine abolishes calcium inhibition of elongation. Furthermore, calcium blocks elongation only if present during the lysis step; subsequent calcium addition has no effect. However, if calcium plus exogenous calmodulin are subsequently added, elongation is again inhibited. Thus calcium inhibition appears to require a soluble calmodulin which is lost shortly after lysis

Noncommutative Toda Chains, Hankel Quasideterminants And Painlev'e II Equation

We construct solutions of an infinite Toda system and an analogue of the Painlev'e II equation over noncommutative differential division rings in terms of quasideterminants of Hankel matrices.Comment: 16 pp; final revised version, will appear in J.Phys. A, minor changes (typos corrected following the Referee's List, aknowledgements and a new reference added

Darboux dressing and undressing for the ultradiscrete KdV equation

We solve the direct scattering problem for the ultradiscrete Korteweg de Vries (udKdV) equation, over $\mathbb R$ for any potential with compact (finite) support, by explicitly constructing bound state and non-bound state eigenfunctions. We then show how to reconstruct the potential in the scattering problem at any time, using an ultradiscrete analogue of a Darboux transformation. This is achieved by obtaining data uniquely characterising the soliton content and the `background' from the initial potential by Darboux transformation.Comment: 41 pages, 5 figures // Full, unabridged version, including two appendice

Quasideterminant solutions of a non-Abelian Hirota-Miwa equation

A non-Abelian version of the Hirota-Miwa equation is considered. In an earlier paper [Nimmo (2006) J. Phys. A: Math. Gen. \textbf{39}, 5053-5065] it was shown how solutions expressed as quasideterminants could be constructed for this system by means of Darboux transformations. In this paper we discuss these solutions from a different perspective and show that the solutions are quasi-Pl\"{u}cker coordinates and that the non-Abelian Hirota-Miwa equation may be written as a quasi-Pl\"{u}cker relation. The special case of the matrix Hirota-Miwa equation is also considered using a more traditional, bilinear approach and the techniques are compared

Bäcklund transformations for noncommutative anti-self-dual Yang-Mills equations

We present Bäcklund transformations for the non-commutative anti-self-dual Yang–Mills equations where the gauge group is G = GL(2) and use it to generate a series of exact solutions from a simple seed solution. The solutions generated by this approach are represented in terms of quasi-determinants and belong to a non-commutative version of the Atiyah–Ward ansatz. In the commutative limit, our results coincide with those by Corrigan, Fairlie, Yates and Goddard

Matrix solutions of a noncommutative KP equation and a noncommutative mKP equation

Matrix solutions of a noncommutative KP and a noncommutative mKP equation which can be expressed as quasideterminants are discussed. In particular, we investigate interaction properties of two-soliton solutions.Comment: 2 figure

The azimuthal component of Poynting's vector and the angular momentum of light

The usual description in basic electromagnetic theory of the linear and angular momenta of light is centred upon the identification of Poynting's vector as the linear momentum density and its cross product with position, or azimuthal component, as the angular momentum density. This seemingly reasonable approach brings with it peculiarities, however, in particular with regards to the separation of angular momentum into orbital and spin contributions, which has sometimes been regarded as contrived. In the present paper, we observe that densities are not unique, which leads us to ask whether the usual description is, in fact, the most natural choice. To answer this, we adopt a fundamental rather than heuristic approach by first identifying appropriate symmetries of Maxwell's equations and subsequently applying Noether's theorem to obtain associated conservation laws. We do not arrive at the usual description. Rather, an equally acceptable one in which the relationship between linear and angular momenta is nevertheless more subtle and in which orbital and spin contributions emerge separately and with transparent forms

Fairness, Efficiency and Insider Trading: Deconstructing the Coin of the Realm in the Information Age

Whether and how the federal securities laws should restrict insider trading is one of the most hotly debated topics in the securities law literature. Paradoxically, both the theoretical analysis and the legal rules concerning insider trading remain extraordinarily vague and ill-formed. What is the special character of insider trading that leads to this apparently irresolvable puzzle? In this Article, I argue that there is, in fact, nothing special about insider trading that creates this dilemma, but rather there is something special about the nature of information itself. Accordingly, this theoretical dilemma is not limited to insider trading regulation, but rather pervades all areas of intellectual property law. In this Article, I situate insider trading regulation within the larger body of intellectual property law by discussing three potential allocations of the property right in valuable inside information. First, inside information could be treated as a public resource, meaning that a person in possession of inside information could not legally exploit that advantage for personal profit. Such a regime would forbid some or all insider trading by forcing the disclosure to the marketplace of inside information prior to trading. I argue that regulators should reject this alternative because, despite it\u27s proponents\u27 tendency to justify the rule in terms of fairness, this proposal is unlikely to foster fairness in any meaningful way. Alternatively, the property right in valuable inside information could belong to issuers, as the producers of such information. I argue that regulators should reject this alternative because, despite its proponents? tendency to frame their arguments in terms of promoting informational efficiency, a legal regime treating inside information as the property of the issuer is unlikely to further that goal. In fact, such proposals assume an affirmative answer to a question that is fiercely debated in other areas of intellectual property law: does creating a property right in information producers incentivize additional production to the extent necessary to offset the social costs of excluding others from use of the information? Finally, the property right in valuable inside information could reside with outsider traders (traders who possess inside information, but are neither insiders nor constructive insiders of the issuer). I argue that regulators should pursue this alternative because, although there is no need to encourage issuers to create valuable inside information, the need to encourage the dissemination of such information to the marketplace has been recognized for many years. Accordingly, I propose in this Article a system of federal securities regulation that would permit trading by corporate outsiders who did not receive their information in a tip from an insider or constructive insider. Such a system, I argue, provides the hope of filling in the gaps left by the current disclose or abstain system, by encouraging the reflection of material information in stock market price without disclosure of the actual inside information. At the same time, this proposal avoids the perverse incentives and negative impacts on market efficiency attendant in a system that permits insider trading by corporate employees

How People Identify Their Physical Activity Patterns and Neighborhood Walkability: A Pilot Study

The walkability of neighborhoods is considered an important indicator of public health. Walkability is defined as a composite of population density, street connectivity, and business access. The walkability of one’s neighborhood can influence one’s perceived physical function and body mass index. PURPOSE: In this research project, we examine how one perceives the walkability of their neighborhood and how that influences self-reported body mass index, physical function, and outcome expectations for exercise. METHODS: Participants were asked to complete a survey that consisted of 45 questions which included demographic information, one’s physical function (Physical Function Questionnaire - Short Form 10b), outcome expectations related to exercise (Outcome Expectations for Exercise Questionnaire) and information about one’s neighborhood environment and the walkability of it (Physical Activity Neighborhood Environment Survey – Self-administered Environmental Module). The PANES scores of each individual were summed and dichotomized to indicate the range of environmental support for physical activity. Statistical analysis was computed through IBM SPSS 24 and Microsoft Excel. RESULTS: Results of this pilot study suggests that 56% of the population (n=32), aged 25-71 years, indicated that their neighborhoods were moderately to highly supportive for walkability as demonstrated by the walking index. All participants but two were from the Corpus Christi vicinity. There were no significant findings noted between BMI and the physical functions. However, it was noted that there was an inverse relationship between physical function and age. It was also noted that there was no significant relationship noted between walkability scores and BMI (r =.31, p =.089). CONCLUSION: Participants in this study indicated that they were not limited by their physical functions. Due to the limited amount of participants recruited in this pilot study, general assumptions of the Corpus Christi community cannot be made. Further investigation needs to be done in order to evaluate the neighborhood walkability and public health indicators