Approximation to the function |x| plays an important role in approximation theory. This paper studies the approximation to the function xαsgn x, which equals |x| if α = 1. We construct a Newman Type Operator rn...Approximation to the function |x| plays an important role in approximation theory. This paper studies the approximation to the function xαsgn x, which equals |x| if α = 1. We construct a Newman Type Operator rn(x) and prove max |x|≤1|xαsgn x-rn(x)|~Cn1/4e-π1/2(1/2)αn.展开更多
In biology, signal transduction refers to a process by which a cell converts one kind of signal or stimulus into another. It involves ordered sequences of biochemical reactions inside the cell. These cascades of react...In biology, signal transduction refers to a process by which a cell converts one kind of signal or stimulus into another. It involves ordered sequences of biochemical reactions inside the cell. These cascades of reactions are carried out by enzymes and activated by second messengers. Signal transduction pathways are complex in nature. Each pathway is responsible for tuning one or more biological functions in the intracellular environment as well as more than one pathway interact among themselves to carry forward a single biological function. Such kind of behavior of these pathways makes understanding difficult. Hence, for the sake of simplicity, they need to be partitioned into smaller modules and then analyzed. We took VEGF signaling pathway, which is responsible for angiogenesis for this kind of modularized study. Modules were obtained by applying the algorithm of Nayak and De (Nayak and De, 2007) for different complexity values. These sets of modules were compared among themselves to get the best set of modules for an optimal complexity value. The best set of modules compared with four different partitioning algorithms namely, Farhat’s (Farhat, 1998), Greedy (Chartrand and Oellermann, 1993), Kernighan-Lin’s (Kernighan and Lin, 1970) and Newman’s community finding algorithm (Newman, 2006). These comparisons enabled us to decide which of the aforementioned algorithms was the best one to create partitions from human VEGF signaling pathway. The optimal complexity value, on which the best set of modules was obtained, was used to get modules from different species for comparative study. Comparison among these modules would shed light on the trend of development of VEGF signaling pathway over these species.展开更多
Background: Dilated cardiomyopathy is a refractory myocardial disease with a poor prognosis. Mrs. G experienced cardiopulmonary arrest during hospitalization. She constantly struggles with uncertainty and experiences ...Background: Dilated cardiomyopathy is a refractory myocardial disease with a poor prognosis. Mrs. G experienced cardiopulmonary arrest during hospitalization. She constantly struggles with uncertainty and experiences immense mental suffering from her symptoms, treatments, anxiety, and prognosis. This condition requires appropriate nursing care. Purpose: This study, which is based on Margaret Newman’s theory, aims to clarify the experience of illness of Mrs. G who has dilated cardiomyopathy. Methods: This involved interpretive and dialectical praxis research. The researcher and Mrs. G formed a partnership through discussion. Hermeneutical analysis was performed on the discussion content. Results: The experience of illness of Mrs. G consisted of 6 phases: “Looking back on the shock of having an illness and receiving medical treatment”, “Looking back on one’s life until present”, “Confusion resulting from uncertainty”, “Self-insight”, “Recognizing one’s true feelings of wanting to live”, and “Commitment and decision to live”. Mrs. G could find a new self and expand her consciousness. Conclusion: Mrs. G found meaning in coping with her illness and discovered the value of living while accepting her own destiny. She connected to her own life and became more prepared to live with hope. Thus, partnership in nursing care according to Newman’s theory can benefit patients with distress from dilated cardiomyopathy. This nursing support can improve patient outlook.展开更多
文摘Approximation to the function |x| plays an important role in approximation theory. This paper studies the approximation to the function xαsgn x, which equals |x| if α = 1. We construct a Newman Type Operator rn(x) and prove max |x|≤1|xαsgn x-rn(x)|~Cn1/4e-π1/2(1/2)αn.
文摘In biology, signal transduction refers to a process by which a cell converts one kind of signal or stimulus into another. It involves ordered sequences of biochemical reactions inside the cell. These cascades of reactions are carried out by enzymes and activated by second messengers. Signal transduction pathways are complex in nature. Each pathway is responsible for tuning one or more biological functions in the intracellular environment as well as more than one pathway interact among themselves to carry forward a single biological function. Such kind of behavior of these pathways makes understanding difficult. Hence, for the sake of simplicity, they need to be partitioned into smaller modules and then analyzed. We took VEGF signaling pathway, which is responsible for angiogenesis for this kind of modularized study. Modules were obtained by applying the algorithm of Nayak and De (Nayak and De, 2007) for different complexity values. These sets of modules were compared among themselves to get the best set of modules for an optimal complexity value. The best set of modules compared with four different partitioning algorithms namely, Farhat’s (Farhat, 1998), Greedy (Chartrand and Oellermann, 1993), Kernighan-Lin’s (Kernighan and Lin, 1970) and Newman’s community finding algorithm (Newman, 2006). These comparisons enabled us to decide which of the aforementioned algorithms was the best one to create partitions from human VEGF signaling pathway. The optimal complexity value, on which the best set of modules was obtained, was used to get modules from different species for comparative study. Comparison among these modules would shed light on the trend of development of VEGF signaling pathway over these species.
文摘Background: Dilated cardiomyopathy is a refractory myocardial disease with a poor prognosis. Mrs. G experienced cardiopulmonary arrest during hospitalization. She constantly struggles with uncertainty and experiences immense mental suffering from her symptoms, treatments, anxiety, and prognosis. This condition requires appropriate nursing care. Purpose: This study, which is based on Margaret Newman’s theory, aims to clarify the experience of illness of Mrs. G who has dilated cardiomyopathy. Methods: This involved interpretive and dialectical praxis research. The researcher and Mrs. G formed a partnership through discussion. Hermeneutical analysis was performed on the discussion content. Results: The experience of illness of Mrs. G consisted of 6 phases: “Looking back on the shock of having an illness and receiving medical treatment”, “Looking back on one’s life until present”, “Confusion resulting from uncertainty”, “Self-insight”, “Recognizing one’s true feelings of wanting to live”, and “Commitment and decision to live”. Mrs. G could find a new self and expand her consciousness. Conclusion: Mrs. G found meaning in coping with her illness and discovered the value of living while accepting her own destiny. She connected to her own life and became more prepared to live with hope. Thus, partnership in nursing care according to Newman’s theory can benefit patients with distress from dilated cardiomyopathy. This nursing support can improve patient outlook.