19 resultados para Effect assessment
em Digital Commons at Florida International University
Resumo:
The purpose of this research was to explore the effects of a reform that took place in an elementary school during 2000/2001 as a result of a failure rating on the Florida Comprehensive Assessment Test on the structure and the personnel of the organization. ^ The exploration took place over a period of 10 months starting in August 2000 until June 2001. It focused on the effect of the failure rating on the: (a) structure and operation of the school; (b) morale, beliefs, behaviors, and daily lives of teachers and the principal; and (c) the effect of the reform effort on the leadership style of the principal, whether she became a transactional or a transformative leader. ^ The researcher assumed the role of a participant observer. Data sources were her personal recollections of major events that took place during the year of the reform, interviews, observations, and school documents. The sample included 15 teachers present during the time of the reform. Ten taught second through fifth grade. The remaining five participants were the music teacher, the counselor, and the writing, reading and technology specialists. Together they represented the instructional team or represented special education areas. ^ The findings indicated that the reform effort had an effect on the structure and the operation of the school. The changes included reorganization of the physical set up, changes in curriculum and instruction, changes in the means of communication among the staff, and the addition of new staff members including an official agent of change. The reform had a greater effect on the daily lives of teachers and their morale than on their beliefs and behaviors. Teachers reported that during the effort their daily lives were stressful and their morale very low due to the enormous expectations that they had to meet. On the other hand, the reform effort had a positive effect on the daily life, morale, beliefs, and behaviors of the principal. It energized her. She spoke positively about the change. She functioned as an effective, positive, resilient transactional leader who did what was necessary in order to enable the teachers to cope with the complex situation. ^
Resumo:
The purpose of this research was to explore the effects of a reform that took place in an elementary school during 2000/2001 as a result of a failure rating on the Florida Comprehensive Assessment Test on the structure and the personnel of the organization. The exploration took place over a period of 10 months starting in August 2000 until June 2001. It focused on the effect of the failure rating on the: (a) structure and operation of the school; (b) morale, beliefs, behaviors, and daily lives of teachers and the principal; and (c) the effect of the reform effort on the leadership style of the principal, whether she became a transactional or a transformative leader. The researcher assumed the role of a participant observer. Data sources were her personal recollections of major events that took place during the year of the reform, interviews, observations, and school documents. The sample included 15 teachers present during the time of the reform. Ten taught second through fifth grade. The remaining five participants were the music teacher, the counselor, and the writing, reading and technology specialists. Together they represented the instructional team or represented special education areas. The findings indicated that the reform effort had an effect on the structure and the operation of the school. The changes included reorganization of the physical set up, changes in curriculum and instruction, changes in the means of communication among the staff, and the addition of new staff members including an official agent of change. The reform had a greater effect on the daily lives of teachers and their morale than on their beliefs and behaviors. Teachers reported that during the effort their daily lives were stressful and their morale very low due to the enormous expectations that they had to meet. On the other hand, the reform effort had a positive effect on the daily life, morale, beliefs, and behaviors of the principal. It energized her. She spoke positively about the change. She functioned as an effective, positive, resilient transactional leader who did what was necessary in order to enable the teachers to cope with the complex situation.
Resumo:
This study examined the effects of computer assisted instruction (CAI) 1 hour per week for 18 weeks on changes in computational scores and attitudes of developmental mathematics students at schools with predominantly Black enrollment. Comparisons were made between students using CAI with differing software--PLATO, CSR or both together--and students using traditional instruction (TI) only.^ This study was conducted in the Dade County Public School System from February through June 1991, at two senior high schools. The dependent variables, the State Student Assessment Test (SSAT), and the School Subjects Attitude Scales (SSAS), measured students' computational scores and attitudes toward mathematics in 3 categories: interest, usefulness, and difficulty, respectively.^ Univariate analyses of variance were performed on the least squares mean differences from pretest to posttest for testing main effects and interactions. A t-test measured significant main effects and interactions. Results were interpreted at the.01 level of significance.^ Null hypotheses 1, 2, and 3 compared versions of CAI with the control group, for changes in mathematical computation scores measured with the SSAT. It could not be concluded that changes in standardized mathematics test scores of students using CAI with differing software 1 hour per week for 18 class hours combined with TI were significantly higher than changes in test scores for students receiving TI only.^ Null hypotheses 4, 5, and 6 tested the effects of CAI for attitudes toward mathematics for experimental groups against control groups measured with the SSAS. Changes in attitudes toward mathematics of students using CAI with differing software 1 hour per week for 18 class hours combined with TI were not significantly higher than attitude changes for students receiving TI only.^ Teacher effect on students' computational scores was a more influential variable than CAI. No interaction was found between gender and learning method on standardized mathematics test scores (null hypothesis 7). ^
Resumo:
Climate warming is predicted to cause an increase in the growing season by as much as 30% for regions of the arctic tundra. This will have a significant effect on the physiological activity of the vascular plant species and the ecosystem as a whole. The need to understand the possible physiological change within this ecosystem is confounded by the fact that research in this extreme environment has been limited to periods when conditions are most favorable, mid June–mid August. This study attempted to develop the most comprehensive understanding to date of the physiological activity of seven tundra plant species in the Alaskan Arctic under natural and lengthened growing season conditions. Four interrelated lines of research, scaling from cellular signals to ecosystem processes, set the foundation for this study. ^ I established an experiment looking at the physiological response of arctic sedges to soil temperature stress with emphasis on the role of the hormone abscisic acid (ABA). A manipulation was also developed where the growing season was lengthened and soils were warmed in an attempt to determine the maximum physiological capacity of these seven vascular species. Additionally, the physiological capacities of four evergreens were tested in the subnivean environment along with the potential role anthocyanins play in their activity. The measurements were scaled up to determine the physiological role of these evergreens in maintaining ecosystem carbon fluxes. ^ These studies determined that soil temperature differentials significantly affect vascular plant physiology. ABA appears to be a physiological modifier that limits stomatal processes when root temperatures are low. Photosynthetic capacity was limited by internal plant physiological mechanisms in the face of a lengthened growing season. Therefore shifts in ecosystem carbon dynamics are driven by changes in species composition and biomass production on a per/unit area basis. These studies also found that changes in soil temperatures will have a greater effect of physiological processes than would the same magnitude of change in air temperature. The subnivean environment exhibits conditions that are favorable for photosynthetic activity in evergreen species. These measurements when scaled to the ecosystem have a significant role in limiting the system's carbon source capacity. ^
Resumo:
This dissertation develops a new mathematical approach that overcomes the effect of a data processing phenomenon known as “histogram binning” inherent to flow cytometry data. A real-time procedure is introduced to prove the effectiveness and fast implementation of such an approach on real-world data. The histogram binning effect is a dilemma posed by two seemingly antagonistic developments: (1) flow cytometry data in its histogram form is extended in its dynamic range to improve its analysis and interpretation, and (2) the inevitable dynamic range extension introduces an unwelcome side effect, the binning effect, which skews the statistics of the data, undermining as a consequence the accuracy of the analysis and the eventual interpretation of the data. ^ Researchers in the field contended with such a dilemma for many years, resorting either to hardware approaches that are rather costly with inherent calibration and noise effects; or have developed software techniques based on filtering the binning effect but without successfully preserving the statistical content of the original data. ^ The mathematical approach introduced in this dissertation is so appealing that a patent application has been filed. The contribution of this dissertation is an incremental scientific innovation based on a mathematical framework that will allow researchers in the field of flow cytometry to improve the interpretation of data knowing that its statistical meaning has been faithfully preserved for its optimized analysis. Furthermore, with the same mathematical foundation, proof of the origin of such an inherent artifact is provided. ^ These results are unique in that new mathematical derivations are established to define and solve the critical problem of the binning effect faced at the experimental assessment level, providing a data platform that preserves its statistical content. ^ In addition, a novel method for accumulating the log-transformed data was developed. This new method uses the properties of the transformation of statistical distributions to accumulate the output histogram in a non-integer and multi-channel fashion. Although the mathematics of this new mapping technique seem intricate, the concise nature of the derivations allow for an implementation procedure that lends itself to a real-time implementation using lookup tables, a task that is also introduced in this dissertation. ^
Resumo:
The durability of a polymer trileaflet valve is dependent on leaflet stress concentrations, so valve designs that reduce stress can, hypothetically, increase durability. Design aspects that are believed to contribute to reduced leaflet stress include stent flexibility, parabolic coaptation curvature, and leaflet anisotropy. With this in mind, the purpose of this investigation was to elucidate what specific combinations of these parameters promote optimal acute and long-term valve function. A combination of four stent designs, seven leaflet reinforcement materials, and three coaptation geometries were evaluated through a combination of experimentation and modeling. Static tensile and Poisson’s ratio tests and dynamic tensile fatigue testing were used to evaluate the individual leaflet components; and hydrodynamic testing and accelerated valve fatigue was used to assess complete valve prototypes. The two most successful designs included a 0.40 mm thick knit-reinforced valve with a fatigue life of 10.35 years, and a 0.20 mm thick knit-reinforced valve with a 28.9 mmHg decrease in pressure drop over the former. A finite element model was incorporated to verify the impact of the above-mentioned parameters on leaflet stress concentrations. Leaflet anisotropy had a large impact on stress concentrations, and matching the circumferential modulus to that of the natural valve showed the greatest benefit. Varying the radial modulus had minimal impact. Varying coaptation geometry had no impact, but stent flexibility did have a marked effect on the stress at the top of the commissure, where a completely rigid stent resulted in a higher peak stress than a flexible stent (E = 385 MPa). In conclusion, stent flexibility and leaflet anisotropy do effect stress concentrations in the SIBS trileaflet valve, but coaptation geometry does not. Regions of high stress concentrations were linked to failure locations in vitro, so a fatigue prediction model was developed from the S/N curves generated during dynamic tensile testing of the 0.20 mm knit-reinforced leaflets. Failure was predicted at approximately 400 million cycles (10 years) at the top of the commissure. In vitro fatigue of this valve showed failure initiation after approximately 167 million cycles (4.18 years), but it was related to a design defect that is subsequently being changed.
Resumo:
The unprecedented increase in the number of older adults is expected to increase the burden of osteoporosis on the individual and society. Blacks have been understudied in osteoporosis prevention education research. Although the risk of osteoporosis is low in this population, its consequences are significant. This study employs a two-group experimental design (experimental and wait-list control groups) to evaluate the effect of an osteoporosis education on two osteoporosis prevention behaviors (OPBs)—calcium intake (CI) and physical activity (PA), in a group of community-dwelling Black older adults, 50 years and older resident in South Florida. A final sample of 110 (mean age 70.15 years), 90% female and 10% male completed a battery of questionnaires at two assessment periods. The experimental group participated in six weekly education program sessions immediately following baseline assessment, and the wait-list control group received the education following end of program assessment by all participants. The weekly educational sessions were conducted in social settings (church or senior center) employing constructs of the Revised Health Belief Model. The sessions focused on improving CI; osteoporosis knowledge (OKT), self-efficacy (SE), health beliefs (HB) and PA. Findings revealed significantly greater increase in reported CI ( M = 556 mg, Wilks’ λ = .47, F (1,108)=122.97, p< .001, η2=.53), OKT (p< .001), and SE (p< .001) among participants in the experimental compared to the wait-list control group. There was no significant difference between the two groups for PA and most of the HB subscales. OKT and SE were the best predictors of CI, while perceived barrier was a predominant factor predicting PA. Over the study period, a change in SE was the only variable related to changes in both OPBs. Attrition rate was lower than expected, which can be attributed to the settings utilized for the study. These findings support the importance of utilizing a familiar social setting. These results suggested the effectiveness of a program offered in multiple short sessions among this underserved minority population to improve OKT and SE resulting in a change in OPBs (increase in CI). However, there is need to explore alternative strategies to improve PA in this population group.
Resumo:
This dissertation establishes a novel data-driven method to identify language network activation patterns in pediatric epilepsy through the use of the Principal Component Analysis (PCA) on functional magnetic resonance imaging (fMRI). A total of 122 subjects’ data sets from five different hospitals were included in the study through a web-based repository site designed here at FIU. Research was conducted to evaluate different classification and clustering techniques in identifying hidden activation patterns and their associations with meaningful clinical variables. The results were assessed through agreement analysis with the conventional methods of lateralization index (LI) and visual rating. What is unique in this approach is the new mechanism designed for projecting language network patterns in the PCA-based decisional space. Synthetic activation maps were randomly generated from real data sets to uniquely establish nonlinear decision functions (NDF) which are then used to classify any new fMRI activation map into typical or atypical. The best nonlinear classifier was obtained on a 4D space with a complexity (nonlinearity) degree of 7. Based on the significant association of language dominance and intensities with the top eigenvectors of the PCA decisional space, a new algorithm was deployed to delineate primary cluster members without intensity normalization. In this case, three distinct activations patterns (groups) were identified (averaged kappa with rating 0.65, with LI 0.76) and were characterized by the regions of: (1) the left inferior frontal Gyrus (IFG) and left superior temporal gyrus (STG), considered typical for the language task; (2) the IFG, left mesial frontal lobe, right cerebellum regions, representing a variant left dominant pattern by higher activation; and (3) the right homologues of the first pattern in Broca's and Wernicke's language areas. Interestingly, group 2 was found to reflect a different language compensation mechanism than reorganization. Its high intensity activation suggests a possible remote effect on the right hemisphere focus on traditionally left-lateralized functions. In retrospect, this data-driven method provides new insights into mechanisms for brain compensation/reorganization and neural plasticity in pediatric epilepsy.
Resumo:
Adoption of special needs children is now seen as a life long event whereby the adoptive child and family have unique needs. The need for postplacement resources throughout the life cycle of the adoption process is evident. This exploratory-descriptive research employed a random stratified cross-sectional design. The purpose of the study was to describe, identify, examine, and assess the relative influence of identified empirically and conceptually relevant variables of self-report experiences of adoptive parents of special needs children. Primary areas of exploration included: (1) adoptive children and families' characteristics, (2) postplacement service needs, utilization and satisfaction, and (3) adoptive parents' perceptions of their adoption experiences. A proportionate stratified random mail survey was used to obtain 474 families who had adopted special needs children from the 15 geographic districts which make up the state adoption social service agency in Florida. A 144-item survey questionnaire was used to collect basic information on demographic data, service provision, and adoption experiences. Four research questions were analyzed to test the effect the predictor variables had on willingness to adopt another special needs child, successful adoption, satisfying experience, and realism about problems. All four research questions revealed that the full model and the child's antecedent and the adoptive parents' intervening variable blocks were significant in explaining the variance in the dependent variables. The child's intervening variables alone were only significant in explaining the variance for one of the dependent variables. The results of the statistical analysis on the fifth research question and the three hypotheses determined that (1) only one postplacement service, crisis intervention, had a statistically significant impact on the adoptive parents' perceived level of satisfaction with the adoption experience; (2) adoptive parents who rate their adoption as successful are more likely to express a desire to adopt another special needs child; (3) the more adequate information on the child the adoptive parents perceived that they had prior to placement, the more they perceived they were realistic about the problems they would encounter; and (4) six specific postplacement services were found to be significant in predicting successful adoptions--crisis intervention, outpatient drug/alcohol treatment, maintenance subsidy, physical therapy, special medical equipment, and family counseling. Implications for the social work field and future research are discussed. ^
Resumo:
The primary purpose of these studies was to determine the effect of planning menus using the Institute of Medicine's (IOMs) Simple Nutrient Density Approach on nutrient intakes of long-term care (LTC) residents. In the first study, nutrient intakes of 72 subjects were assessed using Dietary Reference Intakes (DRIs) and IOM methodology. The intake distributions were used to set intake and menu planning goals. In the second study, the facility's regular menus were modified to meet the intake goals for vitamin E, magnesium, zinc, vitamin D and calcium. An experiment was used to test whether the modified menu resulted in intakes of micronutrients sufficient to achieve a low prevalence (<3%) of nutrient inadequacies. Three-day weighed food intakes for 35 females were adjusted for day-to-day variations in order to obtain an estimate of long-term average intake and to estimate the proportion of residents with inadequate nutrient intakes. ^ In the first study, the prevalence of inadequate intakes was determined to be between 65-99% for magnesium, vitamin E, and zinc. Mean usual intakes of Vitamin D and calcium were far below the Adequate Intakes (AIs). In the experimental study, the prevalence of inadequacies was reduced to <3% for zinc and vitamin E but not magnesium. The groups' mean usual intake from the modified menu met or exceeded the AI for calcium but fell short for vitamin D. Alternatively, it was determined that addition of a multivitamin and mineral (MVM) supplement to intakes of the regular menu could be used to achieve goals for vitamin E, zinc and vitamin D but not calcium and magnesium. ^ A combination of menu modification and MVM supplementation may be necessary to achieve a low prevalence of micronutrient inadequacies among LTC residents. Menus should be planned to optimize intakes of those nutrients that are low in an MVM, such as calcium, magnesium, and potassium. A MVM supplement should be provided to fill the gap for nutrients not provided in sufficient amounts by the diet, such as vitamin E and vitamin D. ^
Resumo:
Reading deficits in students in Grades 4 to 12 are evident in American schools. Informational text is particularly difficult for students. This quasi-experimental study (N=138) investigated sixth-grade students' achievement in social studies using the Reciprocal Mapping instructional routine, compared to sixth-grade students' achievement taught with a traditional approach. The Reciprocal Mapping instructional routine incorporated explicit instruction in text structure using graphic organizers. Students created their own graphic organizers and used them to write about social studies content. The comparison group used a traditional approach, students' reading the textbook and answering questions. Students for this study included sixth-graders in the seven sixth-grade classrooms in two public schools in a small, rural south Florida school district. A focus of this study was to determine the helpfulness of the intervention for at-risk readers. To determine students considered to be at-risk, the researcher used data from the reading portion of the Florida Comprehensive Assessment Test (FCAT), 2011-2012, that considers Level 1 and 2 as at-risk readers. The quasi-experimental study used a pretest-posttest control group design, with students assigned to treatment groups by class. Two teachers at the two rural sites were trained on the Reciprocal Mapping instructional routine and taught students in both the experimental and control groups for an equivalent amount of time over a 5-week period. Results of the 3 x 2 factorial ANCOVA found a significant positive difference favoring the experimental group's social studies achievement as compared to that of the comparison group as measured by the pre/post unit test from the social studies series (McGraw-Hill, 2013), when controlling for initial differences in students' reading FCAT scores. Interactions for high-risk struggling readers were investigated using the significance level p < .05. Due to no significant interaction the main effects of treatment were interpreted. The pretest was used as a covariate and the multivariate analysis was found to be significant. Therefore, analysis of covariance was run on each of the dependent variable as a follow-up. Reciprocal Mapping was found to be significant in posttest scores, independent of gender and level of risk, and while holding the pretest scores constant. Findings showed there was a significant difference in the performance of the high-risk reading students taught with the Reciprocal Mapping intervention who scored statistically better than students in the control group. Further study findings showed that teacher fidelity of implementation of the treatment had a statistically significant relationship in predicting posttest scores when controlling for pretest scores. Study results indicated that improving students' use of text structure through the Reciprocal Mapping instructional routine positively supported sixth-grade students' social studies achievement.
Resumo:
Owing to an increased risk of aging population and a higher incidence of coronary artery disease (CAD), there is a need for more reliable and safer treatments. Numerous varieties of durable polymer-coated drug eluting stents (DES) are available in the market in order to mitigate in-stent restenosis. However, there are certain issues regarding their usage such as delayed arterial healing, thrombosis, inflammation, toxic corrosion by-products, mechanical stability and degradation. As a result, significant amount of research has to be devoted to the improvement of biodegradable polymer-coated implant materials in an effort to enhance their bioactive response. ^ In this investigation, magneto-electropolished (MEP) and a novel biodegradable polymer coated ternary Nitinol alloys, NiTiTa and NiTiCr were prepared to study their bio and hemocompatibility properties. The initial interaction of a biomaterial with its surroundings is dependent on its surface characteristics such as, composition, corrosion resistance, work of adhesion and morphology. In-vitro corrosion tests such as potentiodynamic polarization and electrochemical impedance spectroscopic (EIS) studies were conducted to determine the coating stability and longevity. In-vitro hemocompatibility studies and HUVEC cell growth was performed to determine their thrombogenic and biocompatibility properties. Critical delamination load of the polymer coated Nitinol alloys was determined using Nano-scratch analysis. Sulforhodamine B (SRB) assays were performed to elucidate the effect of metal ions leached from Nitinol alloys on the viability of HUVEC cells. Scanning Electron Microscopy (SEM), X-ray Photoelectron Spectroscopy (XPS), contact angle meter and X-ray diffraction (XRD) were used to characterize the surface of the alloys. ^ MEP treated and polymer coated (PC) Nitinol alloys displayed a corrosion resistant polymer coating as compared to uncoated alloys. MEP and PC has resulted in reduced Ni and Cr ion leaching from NiTi5Cr and subsequently low cytotoxicity. Thrombogenicity tests revealed significantly less platelet adhesion and confluent endothelial cell growth on polymer coated and uncoated ternary MEP Nitinol alloys. Finally, this research addresses the bio and hemocompatibility of MEP + PC ternary Nitinol alloys that could be used to manufacture blood contacting devices such as stents and vascular implants which can lead to lower U.S. healthcare spending.^
Resumo:
The durability of a polymer trileaflet valve is dependent on leaflet stress concentrations, so valve designs that reduce stress can, hypothetically, increase durability. Design aspects that are believed to contribute to reduced leaflet stress include stent flexibility, parabolic coaptation curvature, and leaflet anisotropy. With this in mind, the purpose of this investigation was to elucidate what specific combinations of these parameters promote optimal acute and long-term valve function. A combination of four stent designs, seven leaflet reinforcement materials, and three coaptation geometries were evaluated through a combination of experimentation and modeling. Static tensile and Poisson’s ratio tests and dynamic tensile fatigue testing were used to evaluate the individual leaflet components; and hydrodynamic testing and accelerated valve fatigue was used to assess complete valve prototypes. The two most successful designs included a 0.40 mm thick knit-reinforced valve with a fatigue life of 10.35 years, and a 0.20 mm thick knit-reinforced valve with a 28.9 mmHg decrease in pressure drop over the former. A finite element model was incorporated to verify the impact of the above-mentioned parameters on leaflet stress concentrations. Leaflet anisotropy had a large impact on stress concentrations, and matching the circumferential modulus to that of the natural valve showed the greatest benefit. Varying the radial modulus had minimal impact. Varying coaptation geometry had no impact, but stent flexibility did have a marked effect on the stress at the top of the commissure, where a completely rigid stent resulted in a higher peak stress than a flexible stent (E = 385 MPa). In conclusion, stent flexibility and leaflet anisotropy do effect stress concentrations in the SIBS trileaflet valve, but coaptation geometry does not. Regions of high stress concentrations were linked to failure locations in vitro, so a fatigue prediction model was developed from the S/N curves generated during dynamic tensile testing of the 0.20 mm knit-reinforced leaflets. Failure was predicted at approximately 400 million cycles (10 years) at the top of the commissure. In vitro fatigue of this valve showed failure initiation after approximately 167 million cycles (4.18 years), but it was related to a design defect that is subsequently being changed.
Resumo:
The unprecedented increase in the number of older adults is expected to increase the burden of osteoporosis on the individual and society. Blacks have been understudied in osteoporosis prevention education research. Although the risk of osteoporosis is low in this population, its consequences are significant. This study employs a two-group experimental design (experimental and wait-list control groups) to evaluate the effect of an osteoporosis education on two osteoporosis prevention behaviors (OPBs) – calcium intake (CI) and physical activity (PA), in a group of community-dwelling Black older adults, 50 years and older resident in South Florida. A final sample of 110 (mean age 70.15 years), 90% female and 10% male completed a battery of questionnaires at two assessment periods. The experimental group participated in six weekly education program sessions immediately following baseline assessment, and the wait-list control group received the education following end of program assessment by all participants. The weekly educational sessions were conducted in social settings (church or senior center) employing constructs of the Revised Health Belief Model. The sessions focused on improving CI; osteoporosis knowledge (OKT), self-efficacy (SE), health beliefs (HB) and PA. Findings revealed significantly greater increase in reported CI (M = 556 mg, Wilks’ λ = .47, F(1,108)=122.97, p< .001, η2=.53), OKT (p< .001), and SE (p< .001) among participants in the experimental compared to the wait-list control group. There was no significant difference between the two groups for PA and most of the HB subscales. OKT and SE were the best predictors of CI, while perceived barrier was a predominant factor predicting PA. Over the study period, a change in SE was the only variable related to changes in both OPBs. Attrition rate was lower than expected, which can be attributed to the settings utilized for the study. These findings support the importance of utilizing a familiar social setting. These results suggested the effectiveness of a program offered in multiple short sessions among this underserved minority population to improve OKT and SE resulting in a change in OPBs (increase in CI). However, there is need to explore alternative strategies to improve PA in this population group.
Resumo:
This dissertation develops a new mathematical approach that overcomes the effect of a data processing phenomenon known as "histogram binning" inherent to flow cytometry data. A real-time procedure is introduced to prove the effectiveness and fast implementation of such an approach on real-world data. The histogram binning effect is a dilemma posed by two seemingly antagonistic developments: (1) flow cytometry data in its histogram form is extended in its dynamic range to improve its analysis and interpretation, and (2) the inevitable dynamic range extension introduces an unwelcome side effect, the binning effect, which skews the statistics of the data, undermining as a consequence the accuracy of the analysis and the eventual interpretation of the data. Researchers in the field contended with such a dilemma for many years, resorting either to hardware approaches that are rather costly with inherent calibration and noise effects; or have developed software techniques based on filtering the binning effect but without successfully preserving the statistical content of the original data. The mathematical approach introduced in this dissertation is so appealing that a patent application has been filed. The contribution of this dissertation is an incremental scientific innovation based on a mathematical framework that will allow researchers in the field of flow cytometry to improve the interpretation of data knowing that its statistical meaning has been faithfully preserved for its optimized analysis. Furthermore, with the same mathematical foundation, proof of the origin of such an inherent artifact is provided. These results are unique in that new mathematical derivations are established to define and solve the critical problem of the binning effect faced at the experimental assessment level, providing a data platform that preserves its statistical content. In addition, a novel method for accumulating the log-transformed data was developed. This new method uses the properties of the transformation of statistical distributions to accumulate the output histogram in a non-integer and multi-channel fashion. Although the mathematics of this new mapping technique seem intricate, the concise nature of the derivations allow for an implementation procedure that lends itself to a real-time implementation using lookup tables, a task that is also introduced in this dissertation.