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- All Subjects: Cancer
- Creators: Kuang, Yang
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.
This dissertation is structured as a growing tumor. Chapters 2 and 3 consider spheroid models. These models are adept at describing 'early-time' tumors, before the tumor needs to co-opt blood vessels to continue sustained growth. I consider two partial differential equation (PDE) models for spheroid growth of glioblastoma. I compare these models to in vitro experimental data for glioblastoma tumor cell lines and other proposed models. Further, I investigate the conditions under which traveling wave solutions exist and confirm numerically.
As a tumor grows, it can no longer be approximated by a spheroid, and it becomes necessary to use in vivo data and more sophisticated modeling to model the growth and diffusion. In Chapter 4, I explore experimental data and computational models for describing growth and diffusion of glioblastoma in murine brains. I discuss not only how the data was obtained, but how the 3D brain geometry is created from Magnetic Resonance (MR) images. A 3D finite-difference code is used to model tumor growth using a basic reaction-diffusion equation. I formulate and test hypotheses as to why there are large differences between the final tumor sizes between the mice.
Once a tumor has reached a detectable size, it is diagnosed, and treatment begins. Chapter 5 considers modeling the treatment of prostate cancer. I consider a joint model with hormonal therapy as well as immunotherapy. I consider a timing study to determine whether changing the vaccine timing has any effect on the outcome of the patient. In addition, I perform basic analysis on the six-dimensional ordinary differential equation (ODE). I also consider the limiting case, and perform a full global analysis.
The goal of this research was to identify and characterize biologically active small molecule inhibitors for QSOX1. Chemical inhibition of QSOX1 enzymatic activity was hypothesized to reduce growth and invasion of tumor cells. Recombinant QSOX1 was screened against libraries of small molecules using an enzymatic activity assay to identify potential QSOX1 inhibitors. Two lead QSOX1 inhibitors were confirmed, 2-phenyl-1, 2-benzisoselenazol-3-one (ebselen), and 3-methoxy-n-[4-(1 pyrrolidinyl)phenyl]benzamide. The biological activity of these compounds is consistent with QSOX1 knockdown in tumor cell lines, reducing growth and invasion in vitro. Treatment of tumor cells with these compounds also resulted in specific ECM defects, a phenotype associated with QSOX1 knockdown. Additionally, these compounds were shown to be active in pancreatic and renal cancer xenografts, reducing tumor growth with daily treatment. For ebselen, the molecular mechanism of inhibition was determined using a combination of biochemical and mass spectrometric techniques. The results obtained in these studies provide proof-of-principle that targeting QSOX1 enzymatic activity with chemical compounds represents a novel potential therapeutic avenue worthy of further investigation in cancer. Additionally, the utility of these small molecules as chemical probes will yield future insight into the general biology of QSOX1, including the identification of novel substrates of QSOX1.
