Author Correction: Anti-angiogenic drug scheduling optimisation with application to colorectal cancer.

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Anti-angiogenic drug scheduling optimisation with application to colorectal cancer.

Bevacizumab (bvz) is a first choice anti-angiogenic drug in oncology and is primarily administered in combination with chemotherapy. It has been hypothesized that anti-angiogenic drugs enhance efficacy of cytotoxic drugs by "normalizing" abnormal tumor vessels and improving drug penetration. Nevertheless, the clinical relevance of this phenomenon is still unclear with several studies over recent years suggesting an opposing relationship. Herein, we sought to develop a new computational tool to interrogate anti-angiogenic drug scheduling with particular application in the setting of colorectal cancer (CRC). Specifically, we have employed a mathematical model of vascular tumour growth which interrogates the impact of anti-angiogenic treatment and chemotherapeutic treatment on tumour volume. Model predictions were validated using CRC xenografts which underwent treatment with a clinically relevant combinatorial anti-angiogenic regimen. Bayesian model selection revealed the most appropriate term for capturing the effect of treatments on the tumour size, and provided insights into a switch-like dependence of FOLFOX delivery on the tumour vasculature. Our experimental data and mathematical model suggest that delivering chemotherapy prior to bvz may be optimal in the colorectal cancer setting.

Mean field analysis of a spatial stochastic model of a gene regulatory network.

A gene regulatory network may be defined as a collection of DNA segments which interact with each other indirectly through their RNA and protein products. Such a network is said to contain a negative feedback loop if its products inhibit gene transcription, and a positive feedback loop if a gene product promotes its own production. Negative feedback loops can create oscillations in mRNA and protein levels while positive feedback loops are primarily responsible for signal amplification. It is often the case in real biological systems that both negative and positive feedback loops operate in parameter regimes that result in low copy numbers of gene products. In this paper we investigate the spatio-temporal dynamics of a single feedback loop in a eukaryotic cell. We first develop a simplified spatial stochastic model of a canonical feedback system (either positive or negative). Using a Gillespie's algorithm, we compute sample trajectories and analyse their corresponding statistics. We then derive a system of equations that describe the spatio-temporal evolution of the stochastic means. Subsequently, we examine the spatially homogeneous case and compare the results of numerical simulations with the spatially explicit case. Finally, using a combination of steady-state analysis and data clustering techniques, we explore model behaviour across a subregion of the parameter space that is difficult to access experimentally and compare the parameter landscape of our spatio-temporal and spatially-homogeneous models.

The presence of pericytes and transitional cells in the vasculature of the human dental pulp: an ultrastructural study.

The aim of this study was to determine the ultrastructural characteristics of the microvasculature of healthy human dental pulp, with particular reference to pericytes. Pulp tissue was taken from healthy impacted third molars following extraction. Eight teeth were obtained from 17- to 25-year-old patients and pulp tissue was processed for examination using standard techniques for transmission electron microscopy. The pulp was rich in capillaries composed of endothelial and peri-endothelial cells in a 4: 1 ratio. Endothelial cells contained typical and abundant Weibel-Palade bodies. Three types of peri-endothelial cells were identified: pericytes, transitional cells and fibroblasts. Pericytes were embedded within the capillary basement membrane. Transitional cells were partly surrounded by basement membrane, but separated from the endothelium by collagen fibrils; fibroblasts were outside, but adjacent to the basement membrane and closely associated with collagen fibrils. Pericytes and transitional cells, but not peri-endothelial fibroblasts, contained low numbers of dense bodies similar to the endothelial Weibel-Palade bodies. Our observations are consistent with the hypothesis that, during normal tissue turnover, some pericytes may originate from endothelium and migrate away from the vessel wall to undergo transition to a fibroblastic phenotype.

Radiation-induced decrease in influx rates of potassium ions into thymocytes in vitro in relation to decreased intracellular adenosine triphosphate concentrations.

The relationship between decreases in the adenosine triphosphate content of irradiated thymocytes and observed changes in the influx constant values for potassium ions in the same cells have been investigated. The results suggest that radiation-reduced ATP concentrations may be a rate-limiting factor controlling the active transport of potassium, 3--4 hours after X-irradiation in the range 2--20 krad. However, over the first hour of incubation, post-exposure ATP levels have not decreased sufficiently to be a major factor in the observed decrease in active uptake of potassium ions. This evidence is supported by comparisons of the influence of 1 mM adenine on radiation-reduced ATP levels and influx constants over the first hour after irradiation.