Over time, tumor treatment resistance inadvertently develops when androgen de-privation therapy (ADT) is applied to metastasized prostate cancer (PCa). To combat tumor resistance, while reducing the harsh side effects of hormone therapy, the clinician may opt to cyclically alternates the patient’s treatment on and off. This method,known as intermittent ADT, is an alternative to continuous ADT that improves the patient’s quality of life while testosterone levels recover between cycles. In this paper,we explore the response of intermittent ADT to metastasized prostate cancer by employing a previously clinical data validated mathematical model to new clinical data from patients undergoing Abiraterone therapy. This cell quota model, a system of ordinary differential equations constructed using Droop’s nutrient limiting theory, assumes the tumor comprises of castration-sensitive (CS) and castration-resistant (CR)cancer sub-populations. The two sub-populations rely on varying levels of intracellular androgen for growth, death and transformation. Due to the complexity of the model,we carry out sensitivity analyses to study the effect of certain parameters on their outputs, and to increase the identifiability of each patient’s unique parameter set. The model’s forecasting results show consistent accuracy for patients with sufficient data,which means the model could give useful information in practice, especially to decide whether an additional round of treatment would be effective.

Redox homeostasis is described as the net physiologic balance between inter-convertible oxidized and reduced equivalents within subcellular compartments that remain in a dynamic equilibrium. This equilibrium is impacted by reactive oxygen species (ROS), which are natural by-products of normal cellular activity. Studies have shown that cancer cells have high ROS levels and altered redox homeostasis due to increased basal metabolic activity, mitochondrial dysfunction, peroxisome activity, as well as the enhanced activity of NADPH oxidase, cyclooxygenases, and lipoxygenases. Glioblastoma (GBM) is the most prevalent primary brain tumor in adults with a median survival of 15 months. GBM is characterized by its extreme resistance to therapeutic interventions as well as an elevated metabolic rate that results in the exacerbated production of ROS. Therefore, many agents with either antioxidant or pro-oxidant mechanisms of action have been rigorously employed in preclinical as well as clinical settings for treating GBM by inducing oxidative stress within the tumor. Among those agents are well-known antioxidant vitamin C and small molecular weight SOD mimic BMX-001, both of which are presently in clinical trials on GBM patients. Despite the wealth of investigations, limited data is available on the response of normal brain vs glioblastoma tissue to these therapeutic interventions. Currently, a sensitive and rapid liquid chromatography tandem mass spectrometry (LC-MS/MS) method was established for the quantification of a panel of oxidative stress biomarkers: glutathione (GSH), cysteine (Cys), glutathione disulfide (GSSG), and cysteine disulfide in human-derived brain tumor and mouse brain samples; this method will be enriched with additional oxidative stress biomarkers homocysteine (Hcy), methionine (Met), and cystathionine (Cyst). Using this enriched method, we propose to evaluate the thiol homeostasis and the redox state of both normal brain and GBM in mice after exposure with redox-active therapeutics. Our results showed that, compared to normal brain (in intact mice), GBM tissue has significantly lower GSH/GSSG and Cys/CySS ratios indicating much higher oxidative stress levels. Contralateral “normal” brain tissue collected from the mice with intracranial GBM were also under significant oxidative stress compared to normal brains collected from the intact mice. Importantly, normal brain tissue in both studies retained the ability to restore redox homeostasis after treatment with a redox-active therapeutic within 24 hours while glioblastoma tissue does not. Ultimately, elucidating the differential redox response of normal vs tumor tissue will allow for the development of more redox-active agents with therapeutic benefit.