Krätzel Function as a Function of Hypergeometric Type

2000 Mathematics Subject Classification: 33C60, 33C20, 44A15

On the k-anonymization of time-varying and multi-layer social graphs

The popularity of online social media platforms provides an unprecedented opportunity to study real-world complex networks of interactions. However, releasing this data to researchers and the public comes at the cost of potentially exposing private and sensitive user information. It has been shown that a naive anonymization of a network by removing the identity of the nodes is not sufficient to preserve users’ privacy. In order to deal with malicious attacks, k -anonymity solutions have been proposed to partially obfuscate topological information that can be used to infer nodes’ identity. In this paper, we study the problem of ensuring k anonymity in time-varying graphs, i.e., graphs with a structure that changes over time, and multi-layer graphs, i.e., graphs with multiple types of links. More specifically, we examine the case in which the attacker has access to the degree of the nodes. The goal is to generate a new graph where, given the degree of a node in each (temporal) layer of the graph, such a node remains indistinguishable from other k-1 nodes in the graph. In order to achieve this, we find the optimal partitioning of the graph nodes such that the cost of anonymizing the degree information within each group is minimum. We show that this reduces to a special case of a Generalized Assignment Problem, and we propose a simple yet effective algorithm to solve it. Finally, we introduce an iterated linear programming approach to enforce the realizability of the anonymized degree sequences. The efficacy of the method is assessed through an extensive set of experiments on synthetic and real-world graphs.

On the Approximation of the Generalized Cut Function of Degree p+1 By Smooth Sigmoid Functions

We introduce a modification of the familiar cut function by replacing the linear part in its definition by a polynomial of degree p + 1 obtaining thus a sigmoid function called generalized cut function of degree p + 1 (GCFP). We then study the uniform approximation of the (GCFP) by smooth sigmoid functions such as the logistic and the shifted logistic functions. The limiting case of the interval-valued Heaviside step function is also discussed which imposes the use of Hausdorff metric. Numerical examples are presented using CAS MATHEMATICA.

Reading before buying - exploring consumer attitudes toward informative function of packaging

Oftentimes, packaging is the first and only marketing tool consumers encounter before a purchase, therefore it is considered to be the most important communication and informative tool (Behaegel, 1991; Peters, 1994). The aim of the research is to better understand food label usage of consumers. To make the identification of behaviour patterns possible and to understand the way consumers use labels on packaging netnography has been chosen as the research method. We identified market factors in our research which result in label use. Based on our results, two large consumer segments were identified: conscious and non-conscious consumer behaviours. Reading information on packaging can be classified in two ways, according to method of use (superficial, conditional, incidental) and place (home, or point of sale).

Ultrastructural basis and function of iridescent blue colour of fruits in Elaeocarpus

Iridescent colour, caused by physical effects (thin-film interference, diffraction and Tyndall scattering), is relatively common in animals but exceedingly rare among plants1. Some benthic marine algae produce blue to violet iridescence2,3, and the upper leaf surfaces of a few vascular plants from the shady environments of humid tropical forests are iridescent blue4–6. Blue fruit colour has been assumed to be caused by anthocyanins7. A survey of such fruits (26 species in 18 genera) in Costa Rica, India, Florida and Malaysia, showed this to be the case, except for the iridescent colour in fruits of Elaeocarpus angustifolius Blume (Elaeocarpaceae). There I show that the colour is caused by a remarkable structure in the epidermis, and provide evidence for its selective advantage.

Laypersons' awareness of the role and function of the nurse practitioner

The purpose of this descriptive study was to document the level of awareness that laypersons have regarding the role and function of the nurse practitioner (NP). An instrument developed for a similar study, conducted in 1994, comparing patients' and physicians' level of knowledge of the role and function of the NP, had a low reliability. Revision of the instrument was required before further use could be justified.^ A pilot study of 25 laypersons was conducted to ensure that the revised tool was reliable prior to conducting a study. Reliability for the pilot sample was 0.84.^ The study results indicated that the majority of the sample (83%), (n = 100) knew that a NP was a registered nurse who was qualified to diagnose and treat minor illnesses. The level of layperson awareness was limited regarding prescriptive privileges, well-woman exams, and the NPs' ability to perform physical exams, and interpret lab results and x-rays. ^

The effectiveness of training educators on their ability to identify function of problem behavior

The purpose of this study was to investigate the effectiveness of training educators in the pre-behavioral intervention process of functional behavioral assessment. An original evaluation instrument was developed entitled, The Survey for Students Exhibiting Challenging Behavior. The instrument included measures of participating educators, knowledge of function of problem behavior and their ability to generate recommendations for a behavior intervention plan. The instrument was distributed to schools in a large urban district and completed by special educators. Educators trained and untrained in the functional behavioral assessment process were compared in the study. ^ The study incorporated a post-test only design. All instruments were analyzed using a factorial ANOVA. Those educators who were trained in the district functional behavioral assessment program answered general questions related to function of problem behavior significantly better than those who did not receive training. There is no significant difference between educators on their ability to generate recommendations for behavior intervention plans. It is important that educators receive training in functional behavioral assessment to gain an understanding of the basic notions being function of problem behavior. Current training does not translate into educators' ability to make strong recommendations for behavior intervention plans. ^

The conflict resolution behaviors of occupational therapy students as a function of the personality types, demographic characteristics and contextual factors

Interpersonal conflicts have the potential for detrimental consequences if not managed successfully. Understanding the factors that contribute to conflict resolution has implications for interpersonal relationships and the workplace. Researchers have suggested that personality plays an important and predictable role in conflict resolution behaviors (Chanin & Schneer, 1984; Kilmann & Thomas, 1975; Mills, Robey & Smith, 1985). However, other investigators have contended that contextual factors are important contributors in triggering the behavioral responses (Shoda & Mischel, 2000; Mischel & Shoda, 1995). The purpose of this study was to investigate the relationships among personality types, demographic characteristics and contextual factors on the conflict resolution behaviors reported by graduate occupational therapy students (n = 125). ^ The study design was correlational. The Myers Briggs Type Indicator (MBTI) and the Thomas-Kilmann (MODE) Instrument were used to establish the personality types and the context independent conflict resolution behaviors respectively. The effects of contextual factors of task vs. relationship and power were measured with the Conflict Case Scenarios Questionnaire (CCSQ). One-way ANOVA and linear regression procedures were used to test the relationships between personality types and demographic characteristics with the context independent conflict behaviors. Chi-Square procedures of the personality types by contextual conditions ascertained the effects of contexts in modifying the resolution modes. Descriptive statistics established a profile of the sample. ^ The results of the hypotheses tests revealed significant relationships between the personality types of feeling-thinking and sensing-intuition with the conflict resolution behaviors. The contextual attributes of task vs. relationship orientation and of peer vs. supervisor relationships were shown to modify the conflict behaviors. Furthermore, demographic characteristics of age, gender, GPA and educational background were shown to have an effect on the conflict resolution behaviors. The knowledge gained has implications for students' training, specifically understanding their styles and use of effective conflict resolution strategies. It also contributes to the knowledge on management approaches and interpersonal competencies and how this might facilitate the students' transition to the clinical role. ^

Investigation of molecular mechanisms of LKB1 function in Dictyostelium development and stress responses and the function of superoxide dismutase C (SodC) in chemotaxis

The serine/threonine kinase LKB1 is a regulator of critical events including development and stress responses in metazoans. The current study was undertaken to determine the function of LKB1 in Dictyostelium . During multicellular development and in response to stress insult, an apparent increase in the DdLKB1 kinase activity was observed. Depletion of DdLKB1 with a knockdown construct led to aberrant development; a severe reduction in prespore cell differentiation and a precocious induction of prestalk cells, which were reminiscent of cells lacking GSK3, a well known cell-fate switch. Furthermore, DdLKB1 depleted cells displayed lower GSK3 activity than wild type cells in response to cAMP stimulation during development and failed to activate AMPK, a well known LKB1 target in mammals, in response to cAMP and stress insults. These results suggest that DdLKB1 positively regulates both GSK3 and AMPK during Dictyostelium development, and DdLKB1 is necessary for AMPK activation during stress response regulation. No apparent GSK3 activation was observed in response to stress insults. Spatial and temporal regulation of phosphatidylinositol-(3,4,5)-triphosphate (PIP3) along the membrane of polarized cells is important for efficient chemotaxis. A REMI screen for PIP3 suppressors in the absence of stimulation led to the identification of SodC as PIP3 regulator. Consistent with their higher PIP3 levels, sodC− cells showed defects in chemotaxis and exhibited higher intra-cellular superoxide levels. Protein localization studies along with observations from GPI specific PI-PLC treatment of wild-type cells suggested that SodC is a GPI anchored outer-membrane protein. SodC showed superoxide dismutase activity in vitro, and motility defects of sodC− cells can be rescued by expressing the intact SodC but not by the mutant SodC, which has point mutations that affect its dismutase function. Treatment of sodC− cells with LY294002, a pharmacological inhibitor of PI3K, partially rescued the polarization and chemoattractant sensing defects but not motility defects. Consistent with increased intracellular superoxide levels, sodC − cells also exhibited higher basal Ras activity, an upstream regulator of PI3K, which can be suppressed by a cell permeable superoxide scavenger, XTT, indicating that SodC is important in regulation of intracellular superoxide levels thereby regulating the Ras activity and PIP3 levels at the membrane.

Studying Key Amino Acids in the Function of Ras Interference 1 (Rinl) SH2 and Vps9 Domains

Receptor mediated endocytosis effectively removes the "ears" with which a cell would "hear" a signal conveyed by extracellular signaling molecules, but does not necessarily block the signaling pathway in which the endocytosed receptor participates. In the process of signal attenuation, this newly formed vesicle is fused with a phagosome and the receptor molecules are degraded. Receptor mediated endocytosis as a way to attenuate epidermal growth factor (EGF) and insulin signaling will be the focus here. Ras Interference 1 (Rin 1) is a multifunctional protein involved in intracellular membrane trafficking and receptor mediated endocytosis through its Rab5 Guanine Exchange Factor and SH2 domains. The goal of this investigation is to determine the role of key amino acids involved in the interaction of Rinl with Epidermal Growth Factor Receptor and Rab5. To elucidate this role, a number of point mutations have been created and the effects of each mutation on Rin 1 function will be investigated. Key amino acids in the SH2 and Vps9 Domain were identified and effects of mutations on rate of endocytosis were observed.

Carbon (d13c) and Nitrogen (d15n) Isotopic Discrimination in Mangroves in Florida Coastal Everglades as a Function of Environmental Stress

Isotope signatures of mangrove leaves can vary depending on discrimination associated with plant response to environmental stressors defined by gra­dients of resources (such as water and nutrient limitation) and regulators (such as salinity and sul­fide toxicity). We tested the variability of man­grove isotopic signatures (d13C and d15N) across a stress gradient in south Florida, using green leaves from four mangrove species collected at six sites. Mangroves across the landscape studied are stressed by resource and regulator gradients repre­sented by limited phosphorus concentrations com­bined with high sulfide concentrations, respec­tively. Foliar d13C ratios exhibited a range from ­ 24.6 to –32.7‰, and multiple regression analysis showed that 46% of the variability in mangrove d13C composition could be explained by the differ­ences in dissolved inorganic nitrogen, soluble reac­tive phosphorus, and sulfide porewater concentra­tions. 15N discrimination in mangrove species ranged from –0.1 to 7.7‰, and porewater N, salin­ity, and leaf N:Pa ratios accounted for 41% of this variability in mangrove leaves. The increase in soil P availability reduced 15N discrimination due to higher N demand. Scrub mangroves (<1.5 m tall) are more water-use efficient, as indicated by higher d13C; and have greater nutrient use efficiency ratios of P than do tall mangroves (5 to 10 m tall) existing in sites with greater soil P concentrations. The high variability of mangrove d13C and d15N across these resource and regulator gradients could be a con­founding factor obscuring the linkages between mangrove wetlands and estuarine food webs. These results support the hypothesis that landscape fac­tors may control mangrove structure and function, so that nutrient biogeochemistry and mangrove-based food webs in adjacent estuaries should ac­count for watershed-specific organic inputs.

Perceptions of alibi evidence as a function of the strength of incriminating *evidence

The current study investigated the exculpatory value of alibi evidence when presented together with various types of incriminating evidence. Previous research has reported that alibi evidence could weaken the effects of DNA evidence and eyewitness identification. The present study assessed the effectiveness of alibi evidence in counteracting defendant's confession (experiment 1) and eyewitness evidence (experiment 2). In experiment 1, three levels of alibi evidence (none, weak, strong) were combined with three levels of confession evidence (voluntary, elicited under low pressure, elicited under high pressure). Results indicated significant main effects of confession and alibi and an alibi by confession interaction. Of participants exposed to high-pressure confession, those in the strong alibi condition rendered lower guilt estimates than those in the no alibi condition. In experiment 2, three levels of alibi were combined with two levels of eyewitness evidence (bad view, good view). A main effect of alibi was obtained, but no interaction between alibi and eyewitness evidence. ^ An explanation of this pattern is based in part on the Story Model (Pennington & Hastie, 1992) and a novel “culpability threshold” model of juror decision-making. The Story Model suggests that jurors generate verdict stories (interpretations of events consistent with a guilty or not guilty verdict) based on trial evidence. If the evidence in favor of guilt exceeds jurors' threshold for perceiving culpability, jurors will fail to properly consider exonerating evidence. However, when the strength of incriminating evidence does not exceed the jurors' threshold, they are likely to give appropriate consideration to exculpatory evidence in their decisions. ^ Presentation of a reliable confession in Experiment 1 exceeded jurors' culpability threshold and rendered alibi largely irrelevant. In contrast, presentation of a high-pressure confession failed to exceed jurors' culpability threshold, so jurors turned to alibi evidence in their decisions. Similarly, in the second experiment, eyewitness evidence (in general) was not strong enough to surpass the culpability threshold, and thus jurors incorporated alibi evidence in their decisions. A third study is planned to further test this “culpability threshold” model, further explore various types of alibi evidence, and clarify when exculpatory evidence will sufficiently weaken the prosecution's “story.” ^

A Method for Testing Object Localization as a Function of Eod Amplitude in the Weakly Electric Fish Brachyhypopomus Pinnicaudatus

I would like to thank Dr. Philip Stoddard for his patience and guidance throughout the past four years. He has not only taught me about behavior and electricity, but he has also taught me how to think scientifically. Vielka Salazar for making herself available to answer my questions and to help me with my projects. Montserrat Alfaro for providing me with support under times of frustration. Fabian A. Pal, who has often made himself available when I needed help to finish my projects, for being supportive, and for believing in me and my abilities. Most importantly, I would like to thank my parents who have shown tremendous support and patience during the past years. I would also like to thank the Honors Committee, specially Dr. Richards for taking the time to review my thesis and helping me modify it. Finally, I would like to thank the MARC program for providing me with financial assistance and the opportunity to perform this project.

Investigation of molecular mechanisms of lkb1 function in dictyostelium development and stress responses and the function of superoxide dismutase c (sodc) in chemotaxis

The serine/threonine kinase LKB1 is a regulator of critical events including development and stress responses in metazoans. The current study was undertaken to determine the function of LKB1 in Dictyostelium. During multicellular development and in response to stress insult, an apparent increase in the DdLKB1 kinase activity was observed. Depletion of DdLKB1 with a knockdown construct led to aberrant development; a severe reduction in prespore cell differentiation and a precocious induction of prestalk cells, which were reminiscent of cells lacking GSK3, a well known cell-fate switch. Furthermore, DdLKB1 depleted cells displayed lower GSK3 activity than wild type cells in response to cAMP stimulation during development and failed to activate AMPK, a well known LKB1 target in mammals, in response to cAMP and stress insults. These results suggest that DdLKB1 positively regulates both GSK3 and AMPK during Dictyostelium development, and DdLKB1 is necessary for AMPK activation during stress response regulation. No apparent GSK3 activation was observed in response to stress insults. Spatial and temporal regulation of phosphatidylinositol-(3,4,5)-triphosphate (PIP3) along the membrane of polarized cells is important for efficient chemotaxis. A REMI screen for PIP3 suppressors in the absence of stimulation led to the identification of SodC as PIP3 regulator. Consistent with their higher PIP3 levels, sodC- cells showed defects in chemotaxis and exhibited higher intra-cellular superoxide levels. Protein localization studies along with observations from GPI specific PI-PLC treatment of wild-type cells suggested that SodC is a GPI anchored outer-membrane protein. SodC showed superoxide dismutase activity in vitro, and motility defects of sodC- cells can be rescued by expressing the intact SodC but not by the mutant SodC, which has point mutations that affect its dismutase function. Treatment of sodC- cells with LY294002, a pharmacological inhibitor of PI3K, partially rescued the polarization and chemoattractant sensing defects but not motility defects. Consistent with increased intracellular superoxide levels, sodC- cells also exhibited higher basal Ras activity, an upstream regulator of PI3K, which can be suppressed by a cell permeable superoxide scavenger, XTT, indicating that SodC is important in regulation of intracellular superoxide levels thereby regulating the Ras activity and PIP3 levels at the membrane.