The number and timing of time -dependent covariate measurements for the Cox regression model

The problem of analyzing data with updated measurements in the time-dependent proportional hazards model arises frequently in practice. One available option is to reduce the number of intervals (or updated measurements) to be included in the Cox regression model. We empirically investigated the bias of the estimator of the time-dependent covariate while varying the effect of failure rate, sample size, true values of the parameters and the number of intervals. We also evaluated how often a time-dependent covariate needs to be collected and assessed the effect of sample size and failure rate on the power of testing a time-dependent effect.^ A time-dependent proportional hazards model with two binary covariates was considered. The time axis was partitioned into k intervals. The baseline hazard was assumed to be 1 so that the failure times were exponentially distributed in the ith interval. A type II censoring model was adopted to characterize the failure rate. The factors of interest were sample size (500, 1000), type II censoring with failure rates of 0.05, 0.10, and 0.20, and three values for each of the non-time-dependent and time-dependent covariates (1/4,1/2,3/4).^ The mean of the bias of the estimator of the coefficient of the time-dependent covariate decreased as sample size and number of intervals increased whereas the mean of the bias increased as failure rate and true values of the covariates increased. The mean of the bias of the estimator of the coefficient was smallest when all of the updated measurements were used in the model compared with two models that used selected measurements of the time-dependent covariate. For the model that included all the measurements, the coverage rates of the estimator of the coefficient of the time-dependent covariate was in most cases 90% or more except when the failure rate was high (0.20). The power associated with testing a time-dependent effect was highest when all of the measurements of the time-dependent covariate were used. An example from the Systolic Hypertension in the Elderly Program Cooperative Research Group is presented. ^

Pathways leading to apoptosis resistance in a murine B -cell lymphoma cell system

The aberrant activation of signal transduction pathways has long been linked to uncontrolled cell proliferation and the development of cancer. The activity of one such signaling module, the Mitogen-Activated Protein Kinase (MAPK) pathway, has been implicated in several cancer types including pancreatic, breast, colon, and lymphoid malignancies. Interestingly, the activation of MAP-Kinase-Kinase-Kinase proteins often leads to the additional activation of NF-κB, a transcription factor that acts as a cell survival signal through its control of antiapoptotic genes. We have investigated the role of a specific dimer form of the NF-κB transcription factor family, NF-κB1 (p50) homodimers, in its control of the proto-oncogene, Bcl-2, and we have identified the MEK/ERK (MAPK) signaling cascade as a mediator of NF-κB1 activity. ^ Two murine B cell lymphoma cell lines were used for these studies: LY-as, an apoptosis proficient line with low Bcl-2 protein expression and no nuclear NF-κB activity, and LY-ar, a nonapoptotic line with constitutive p50 homodimer activity and 30 times more Bcl-2 protein expression than LY-as. Experiments modulating p50 activity correlated the activation of p50 homodimers with Bcl-2 expression and additional gel shift experiments demonstrated that the Bcl-2 P1 promoter had NF-κB sites with which recombinant p50 was able to interact. In vitro transcription revealed that p50 enhanced the production of transcripts derived from the Bcl-2 P1 promoter. These data strongly suggest that Bcl-2 is a target gene for p50-mediated transcription and suggest that the activation of p50 homodimers contributes to the expression of Bcl-2 observed in LY-ar cells. ^ Studies of upstream MAPK pathways that could influence NF-κB activity demonstrated that LY-ar cells had phosphorylated ERK proteins while LY-as cells did not. Treatment of LY-ar cells with the MEK inhibitors PD 98059, U0126, and PD 184352 led to a loss of phosphorylated ERK, a reversal of nuclear p50 homodimer DNA binding, and a decrease in the amount of Bcl-2 protein expression. Similarly, the activation of the MEK/ERK pathway in LY-as cells by phorbol ester led to Bcl-2 expression that could be blocked by PD 98059. Furthermore, treatment of LY-ar cells with TNFα, an IKK activator, did not change the suppressive effect of PD 98059 on p50 homodimer activity, suggesting an IKK-independent pathway for p50 homodimer activation. Lastly, all three MEK inhibitors sensitized LY-ar cells to radiation-induced apoptosis. ^ These data indicate that the activation of the MEK/ERK MAP-Kinase signaling pathway acts upstream of p50 homodimer activation and Bcl-2 expression in this B cell lymphoma cell system and suggest that the activation of MEK/ERK may be a key step in the progression of lymphoma to advanced-staged disease. Other researchers have used MEK inhibitors to inhibit cell growth and sensitize a number of tumors to chemotherapies. In light of our data, MEK inhibitors may additionally be useful clinically to radiosensitize cancers of lymphoid origin. ^

Ascorbic acid effects on the immune system and type -1 /type -2 cytokine balance in humans

Vitamin C (ascorbic acid--AA) can have a substantial impact on human health by reducing the incidence and/or severity of coryza. Studies also suggest it has immunomodulatory functions in humans. Immune function is controlled by cytokines, such as type-1 cytokines (IFNγ) that promote antiviral immunity and type-2 cytokines (IL-4, IL-10) that promote humoral immunity. Knowing the mechanisms responsible for both antiviral immunity and type-1/type-2 cytokine balance, we sought to identify AA-induced alterations of human peripheral blood mononuclear cells (PBMC) in vivo and in vitro . We hypothesized that AA modulates the immune system, altering both number and function of PBMC. We first described the effect of 14 days of oral (1 gram) AA in healthy subjects. AA increased circulating natural killer (NK) cells, CD25+ and HLA-DR+ T cells, and PMA/ionomycin-stimulated intracellular IFNγ. We subsequently developed models for in vitro use. We determined that AA was toxic in vitro to T cells when used at doses found intracellularly but doses found in plasma from individuals taking 1gm/day AA were nontoxic. The model that most fully reproduced our in vivo intracellular cytokine findings used dehydroascorbic acid and buffers to deliver AA intracellularly. This model generated the largest increase in IFNγ at physiologic plasma concentrations. Previous studies demonstrate that chronic psychological stress is associated with a type-2 cytokine response. We hypothesized that vitamin C could prevent the type-2 cytokine shift associated with stress. In a study of medical students taking 1 g AA or placebo, a significant increase in IFNγ was seen intracellularly in CD4+ and CD8+ cells and in tetanus-stimulated cultures in the AA group only. We also observed increases in IFNγ/IL-4 and IFNγ/IL-10 ratios with AA supplementation, indicating a type-1 shift. Furthermore, we noted increased numbers of NK cells and activated T cells in the peripheral blood in the AA treated group only. Lastly, we investigated the role of the CD40L/CD40 and CD28/B7 costimulatory pathway in these cytokine alterations. AA did not have any effect on either pathway studied. Thus costimulatory pathways are not contributing to AA induced modulation of the type-1/type-2 immune balance. ^