Extended kalman filter for estimation of parameters in nonlinear state-space models of biochemical networks.

It is system dynamics that determines the function of cells, tissues and organisms. To develop mathematical models and estimate their parameters are an essential issue for studying dynamic behaviors of biological systems which include metabolic networks, genetic regulatory networks and signal transduction pathways, under perturbation of external stimuli. In general, biological dynamic systems are partially observed. Therefore, a natural way to model dynamic biological systems is to employ nonlinear state-space equations. Although statistical methods for parameter estimation of linear models in biological dynamic systems have been developed intensively in the recent years, the estimation of both states and parameters of nonlinear dynamic systems remains a challenging task. In this report, we apply extended Kalman Filter (EKF) to the estimation of both states and parameters of nonlinear state-space models. To evaluate the performance of the EKF for parameter estimation, we apply the EKF to a simulation dataset and two real datasets: JAK-STAT signal transduction pathway and Ras/Raf/MEK/ERK signaling transduction pathways datasets. The preliminary results show that EKF can accurately estimate the parameters and predict states in nonlinear state-space equations for modeling dynamic biochemical networks.

Case-control study of factors associated with virologic failure in HIV-infected children on HAART in Botswana, a developing African country

According to the United Nations Program on HIV/AIDS (UNAIDS, 2008), in 2007 about 67 per cent of all HIV-infected patients in the world were in Sub-Saharan Africa, with 35% of new infections and 38% of the AIDS deaths occurring in Southern Africa. Globally, the number of children younger than 15 years of age infected with HIV increased from 1.6 million in 2001 to 2.0 million in 2007 and almost 90% of these were in Sub-Saharan Africa. (UNAIDS, 2008).^ Both clinical and laboratory monitoring of children on Highly Active Anti-Retroviral Therapy (HAART) are important and necessary to optimize outcomes. Laboratory monitoring of HIV viral load and genotype resistance testing, which are important in patient follow-up to optimize treatment success, are both generally expensive and beyond the healthcare budgets of most developing countries. This is especially true for the impoverished Sub-Saharan African nations. It is therefore important to identify those factors that are associated with virologic failure in HIV-infected Sub-Saharan African children. This will inform practitioners in these countries so that they can predict which patients are more likely to develop virologic failure and therefore target the limited laboratory monitoring budgets towards these at-risk patients. The objective of this study was to examine those factors that are associated with virologic failure in HIV-infected children taking Highly Active Anti-retroviral Therapy in Botswana, a developing Sub-Saharan African country. We examined these factors in a Case-Control study using medical records of HIV-infected children and adolescents on HAART at the Botswana-Baylor Children's Clinical Center of Excellence (BBCCCOE) in Gaborone, Botswana. Univariate and Multivariate Regression Analyses were performed to identify predictors of virologic failure in these children.^ The study population comprised of 197 cases (those with virologic failure) and 544 controls (those with virologic success) with ages ranging from 3 months to 16 years at baseline. Poor adherence (pill count <95% on at least 3 consecutive occasions) was the strongest independent predictor of virologic failure (adjusted OR = 269.97, 95% CI = 104.13 to 699.92; P < 0.001). Other independent predictors of virologic failure identified were: First Line NNRTI with Nevirapine (OR = 2.99, 95% CI = 1.19 to7.54; P = 0.020), Baseline HIV-1 Viral Load >750,000/ml (OR = 257, 95% CI = 1.47 to 8.63; P = 0.005), Positive History of PMTCT (OR = 11.65, 95% CI = 3.04-44.57; P < 0.001), Multiple Care-givers (>=3) (OR = 2.56, 95% CI = 1.06 to 6.19; P = 0.036) and Residence in a Village (OR = 2.85, 95% CI = 1.36 to 5.97; P = 0.005).^ The results of this study may help to improve virologic outcomes and reduce the costs of caring for HIV-infected children in resource-limited settings. ^ Keywords: Virologic Failure, Highly Active Anti-Retroviral Therapy, Sub-Saharan Africa, Children, Adherence.^

EVALUATION OF THE EFFECTIVENESS OF ANISOTROPIC ANALYTICAL ALGORITHM IN FLATTENED AND FLATTENING-FILTER-FREE BEAMS FOR HIGH ENERGY LUNG DOSE DELIVERY USING THE RADIOLOGICAL PHYSICS CENTER LUNG PHANTOM

The effectiveness of the Anisotropic Analytical Algorithm (AAA) implemented in the Eclipse treatment planning system (TPS) was evaluated using theRadiologicalPhysicsCenteranthropomorphic lung phantom using both flattened and flattening-filter-free high energy beams. Radiation treatment plans were developed following the Radiation Therapy Oncology Group and theRadiologicalPhysicsCenterguidelines for lung treatment using Stereotactic Radiation Body Therapy. The tumor was covered such that at least 95% of Planning Target Volume (PTV) received 100% of the prescribed dose while ensuring that normal tissue constraints were followed as well. Calculated doses were exported from the Eclipse TPS and compared with the experimental data as measured using thermoluminescence detectors (TLD) and radiochromic films that were placed inside the phantom. The results demonstrate that the AAA superposition-convolution algorithm is able to calculate SBRT treatment plans with all clinically used photon beams in the range from 6 MV to 18 MV. The measured dose distribution showed a good agreement with the calculated distribution using clinically acceptable criteria of ±5% dose or 3mm distance to agreement. These results show that in a heterogeneous environment a 3D pencil beam superposition-convolution algorithms with Monte Carlo pre-calculated scatter kernels, such as AAA, are able to reliably calculate dose, accounting for increased lateral scattering due to the loss of electronic equilibrium in low density medium. The data for high energy plans (15 MV and 18 MV) showed very good tumor coverage in contrast to findings by other investigators for less sophisticated dose calculation algorithms, which demonstrated less than expected tumor doses and generally worse tumor coverage for high energy plans compared to 6MV plans. This demonstrates that the modern superposition-convolution AAA algorithm is a significant improvement over previous algorithms and is able to calculate doses accurately for SBRT treatment plans in the highly heterogeneous environment of the thorax for both lower (≤12 MV) and higher (greater than 12 MV) beam energies.

The Relationship of Provincial Economic Level and Child Injury Mortality in Thailand: A Cross-Sectional Analysis in a Middle Income Country

The objective of this cross-sectional study was to examine the relationship of provincial economic development indices with incidences of child injury mortality in Thailand from 1999 - 2001. All injury deaths among children age 1-14 years were included. The independent variables included gross provincial product per capita (GPP/c), poverty and inequality indices, material and social deprivation indices, population in rural/ urban areas, and migration. Due to multicollinearity of such variables, the 76 provinces were categorized by GPP/c quartile, and means of overall injury, drowning, and transport-related mortality rates were compared among quartile groups. Spearman’s rho correlation between GPP/c and injury mortality rates was also performed. Finally, factor analysis was employed to create a set of factors to be treated as uncorrelated variables and stepwise multiple regression was carried out for the effects of the factors on injury mortality rates. A significant direct relationship was observed between GPP/c and overall injury mortality among children age 1-4 years, and 10-14 year-olds of both genders. Drowning was the main cause of this relationship among children age 1-4 years, and transport-related injury was the principle cause among children age 10-14 years. Conversely, provinces with lower GPP/c experienced higher injury mortality rates among school-age children 5-9 years old for both genders, mostly due to drowning. Factor analysis, and multiple regression results confirmed the relationships between economic development and injury mortality rates. These findings revealed that economic development had an adverse impact on injury-related mortality among children 1 to 4 and 10 to14 in Thailand.

Editorial: Take Me Home, Down Country Roads

Those of us committed to the tenets of Family Preservation must advocate for increased awareness and attention to the needs of children and their families in rural America. "Country roads" and the rural spaces they traverse have been eulogized by many poets and song writers as ideal places to live. But they may not be ideal for everyone. The past few months, it has become all too evident that rural America is not immune to acts of extreme violence by troubled children. Even though almost 1/3 of American youth live in rural areas, they have been "virtually ignored by mental health service planners and providers"(Cutrona, Halvorson, & Russell, 1996, p. 217). Mental health risk factors such as poverty, parental alcohol abuse, and family instability are on the rise in rural areas, and there has been an increase in suicide attempts, family violence, depression, and alcohol abuse (Cutrona, Halvorson, & Russell, 1996; Petti & Leviton, 1986; National Mental Health Association, 1988). Native Americans are especially concerned about the increases in child abuse and neglect, depression, substance abuse, and suicide in their communities.