A reduced model clarifies the role of feedback loops and time delays in the Drosophila circadian oscillator.

Although several detailed models of molecular processes essential for circadian oscillations have been developed, their complexity makes intuitive understanding of the oscillation mechanism difficult. The goal of the present study was to reduce a previously developed, detailed model to a minimal representation of the transcriptional regulation essential for circadian rhythmicity in Drosophila. The reduced model contains only two differential equations, each with time delays. A negative feedback loop is included, in which PER protein represses per transcription by binding the dCLOCK transcription factor. A positive feedback loop is also included, in which dCLOCK indirectly enhances its own formation. The model simulated circadian oscillations, light entrainment, and a phase-response curve with qualitative similarities to experiment. Time delays were found to be essential for simulation of circadian oscillations with this model. To examine the robustness of the simplified model to fluctuations in molecule numbers, a stochastic variant was constructed. Robust circadian oscillations and entrainment to light pulses were simulated with fewer than 80 molecules of each gene product present on average. Circadian oscillations persisted when the positive feedback loop was removed. Moreover, elimination of positive feedback did not decrease the robustness of oscillations to stochastic fluctuations or to variations in parameter values. Such reduced models can aid understanding of the oscillation mechanisms in Drosophila and in other organisms in which feedback regulation of transcription may play an important role.

Delays in diagnosis and referral and treatment for hematologic malignancies

The purpose of this thesis project was to identify factors that may contribute to a delay in the diagnosis, referral or treatment of the hematologic malignancies. This thesis is a secondary data analysis of both qualitative and quantitative data collected during a pilot study for a parent CDC study to determine factors related to time to diagnosis, referral, and treatment of chronic lymphocytic leukemia (CLL), chronic myelogenous leukemia (CML), multiple myeloma (MM), and myelodisplastic syndrome (MDS). To identify patterns for referral, as well as explore referral, treatment, and follow-up patterns, MDACC performed a pathways analysis, and conducted semi-structured interviews with hematologic cancer patients to help identify factors related to delays. Interviews were also conducted with primary care physicians and community hematologists/oncologists to help identify factors associated with optimal and sub-optimal patterns of diagnosis and referral. The results of these analyses suggest a set of factors that may be related to a fairly smooth and rapid trajectory to treatment, and factors that may be related to a slower, more disrupted trajectory. Factors that may be especially important to facilitating rapid treatment include the presence of cues to seek diagnosis in the patient's environment and the patient recognizing and acting upon these cues to seek immediate medical attention. Furthermore, providers who perform behaviors including recognizing cues as indicators of hematologic malignancies and conducting appropriate diagnostic testing effectively and efficiently indicate that these behaviors may also contribute to shorter times to diagnosis. In regards to referrals, direct and effective communication between providers and patients, as well between providers themselves helped facilitate speedier referrals. A patient's insurance status as well as the presence or absence of social support in his environment served as factors that may increase or decrease time to diagnosis, referral, and treatment for a hematologic malignancy. Further research is needed to define delay to diagnosis, referral and treatment in order to improve early diagnosis, referral, and treatment of hematologic malignancies.^