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Building context with tumor growth modeling projects in differential equations
(Taylor & Francis, 2015)
The use of modeling projects serves to integrate, reinforce, and extend student knowledge. Here we present two projects related to tumor growth appropriate for a first course in differential equations. They illustrate the ...
Microenvironmental Niches and Sanctuaries: A Route to Acquired Resistance
(Kiuwer, 2016)
A tumor vasculature that is functionally abnormal results in irregular gradients of metabolites and drugs within the tumor tissue. Recently, significant efforts have been committed to experimentally examine how cellular ...
Limiting the development of anti-cancer drug resistance in a spatial model of micrometastases
(American Academy of Mathematical Sciences, 2016-12)
While chemoresistance in primary tumors is well-studied, much less is known about the influence of systemic chemotherapy on the development of drug resistance at metastatic sites. In this work, we use a hybrid spatial model ...
Evaluating optimal therapy robustness by virtual expansion of a sample population, with a case study in cancer immunotherapy
(National Academy of Sciences, 2017)
Cancer is a highly heterogeneous disease, exhibiting spatial and temporal variations that pose challenges for designing robust therapies. Here, we propose the VEPART (Virtual Expansion of Populations for Analyzing Robustness ...
Emergence of Anti-Cancer Drug Resistance: Exploring the Importance of the Microenvironmental Niche via a Spatial Model
(Springer Verlag, 2015)
Practically, all chemotherapeutic agents lead to drug resistance. Clinically, it is a challenge to determine whether resistance arises prior to, or as a result of, cancer therapy. Further, a number of different intracellular ...
Mentoring undergraduate interdisciplinary mathematics research students: junior faculty experiences
(Taylor & Francis, 2017)
To be successful, junior faculty must properly manage their time in the face of expanding responsibilities. One such responsibility is supervising undergraduate research projects. Student research projects (either single ...
Finding causative genes from high-dimensional data: an appraisal of statistical and machine learning approaches
(De Gruyter, 2016-08)
Modern biological experiments often involve high-dimensional data with thousands or more variables. A challenging problem is to identify the key variables that are related to a specific disease. Confounding this task is ...
Microenvironment-Mediated Modeling of Tumor Response to Vascular-Targeting Drugs
(Kiuwer, 2016)
The tumor-associated microvasculature is one of the key elements of the microenvironment that helps shape, and is shaped by, tumor progression. Given the important role of the vasculature in tumor progression, and the fact ...
Optimization of vascular-targeting drugs in a computational model of tumor growth
(American Physical Society, 2012)
A biophysical tool is introduced that seeks to provide a theoretical basis for helping drug design teams assess the most promising drug targets and design optimal treatment strategies. The tool is grounded in a previously ...
Treatment strategies for combining immunostimulatory oncolytic virus therapeutics with dendritic cell injections
(American Academy of Mathematical Sciences, 2015-12)
Oncolytic viruses (OVs) are used to treat cancer, as they selectively replicate inside of and lyse tumor cells. The efficacy of this process is limited and new OVs are being designed to mediate tumor cell release of cytokines ...