4 resultados para stochastic adding machines

em DigitalCommons@The Texas Medical Center


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With the observation that stochasticity is important in biological systems, chemical kinetics have begun to receive wider interest. While the use of Monte Carlo discrete event simulations most accurately capture the variability of molecular species, they become computationally costly for complex reaction-diffusion systems with large populations of molecules. On the other hand, continuous time models are computationally efficient but they fail to capture any variability in the molecular species. In this study a hybrid stochastic approach is introduced for simulating reaction-diffusion systems. We developed an adaptive partitioning strategy in which processes with high frequency are simulated with deterministic rate-based equations, and those with low frequency using the exact stochastic algorithm of Gillespie. Therefore the stochastic behavior of cellular pathways is preserved while being able to apply it to large populations of molecules. We describe our method and demonstrate its accuracy and efficiency compared with the Gillespie algorithm for two different systems. First, a model of intracellular viral kinetics with two steady states and second, a compartmental model of the postsynaptic spine head for studying the dynamics of Ca+2 and NMDA receptors.

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The application of Markov processes is very useful to health-care problems. The objective of this study is to provide a structured methodology of forecasting cost based upon combining a stochastic model of utilization (Markov Chain) and deterministic cost function. The perspective of the cost in this study is the reimbursement for the services rendered. The data to be used is the OneCare database of claim records of their enrollees over a two-year period of January 1, 1996–December 31, 1997. The model combines a Markov Chain that describes the utilization pattern and its variability where the use of resources by risk groups (age, gender, and diagnosis) will be considered in the process and a cost function determined from a fixed schedule based on real costs or charges for those in the OneCare claims database. The cost function is a secondary application to the model. Goodness-of-fit will be used checked for the model against the traditional method of cost forecasting. ^

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The prevalence of obesity has reached epidemic proportions in the United States. Twenty-five percent of school aged students are overweight. Schools have the opportunity to help slow this epidemic. School cafeterias in the United States feed millions of students every day through the National School Lunch Program.^ Point-of-sale machines are used in most school cafeterias to help streamline the process of purchasing school lunches. The point-of-sale software allows school personnel to place special notes on student's accounts to provide alerts about parental requests. This study investigated what the alerts are used for, who uses the alerts, and if there are any patterns by demographic characteristics. ^ Counts and percentages were used to determine what the alerts were used for and who used them. This study found that students who were white non-Hispanic, paid status, or in elementary school were most likely to have alerts placed on their accounts. Also, the majority of point-of-sale alerts were used as allowances (i.e., allowed to purchase snacks from the balance on the school lunch account), rather than restrictions (i.e., restricted from purchasing high calorie foods or specific food items). Using chi-square analysis, a total of 688 alerts were analyzed. There were significant differences in alert frequencies for intent category by grade level (p=0.000), snack access (p=0.000), and gender (p=0.002). Therefore, the results are significant, and one can conclude there is a significant relationship between gender, grade level, and snack access, and the presence of an alert on the school lunch account.^ Also, school administrators may want to take into consideration possible changes to their program, such as requiring more time to run the software. The results of this study can assist school administrators to better understand that a point-of-sale alert program may help their school lunch programs run more efficiently, while also providing parental influence on students’ food choices at the point-of-sale.^ School food service authorities should consider implementing a structured point-of-sale alert policy to encourage parental input on their children's food choices. When implementing the point-of-sale policy, schools should publicize this policy online, through school lunch menus, and parent communications increase participation throughout the school district.^