Digital Repository at TCNJ: Recent submissions
Now showing items 2140 of 4164

A mathematical exploration of the development and therapeutic implications of anticancer drug resistance
(201406)Practically all chemotherapeutic agents, and many newer targeted cancer therapeutics, lead to drug resistance. Drug resistance can arise due to a number of different intracellular and microenvironmental causes. Further, ... 
Computational modeling of tumor response to vasculartargeting therapies
(201208)A mathematical model that examines tumorvasculature interactions is briefly presented in this work. I will discuss validation studies which demonstrate the model’s ability to qualitatively predict: 1) tumor growth under ... 
Using mathematical cancer models in an introductory differential equations course
(201201)Many incarnations of the Introductory Differential Equations course aim to teach students analytical, qualitative and numerical methods for gaining insight into the behavior of ODE solutions. Using mathematical models to ... 
Predicting tumor response to vasculartargeting therapies using a mathematical model
(201101)A relatively novel use of mathematics in the field of cancer research is in drug discovery process. In this talk, I will briefly describe a validated hybrid cellular automaton model of tumor growth and I will illustrate ... 
Mathematical simulations of tumor response to cancer treatment
(201008)Over the past several decades, mathematical modeling techniques have been incorporated into the armamentarium of cancer research. A relatively novel use of mathematics in the realm of oncology is in the process of ... 
Multiscale mathematical modeling of brain tumor growth
(200907)Mathematical modeling of tumor growth has been an active area of research for the past several decades. One of the holy grails of the field is to develop a simulation tool that can be utilized in the clinic to predict tumor ... 
One size doesn’t fit all: optimizing cancer immunotherapy
(202106)Mathematical models of biological systems are often validated by fitting to the average behavior in an often small experimental dataset. Here we ask the question of whether mathematical predictions for the average are ... 
Mathematical modeling of an immune checkpoint inhibitor and its synergy with an immunostimulant
(American Institute of Mathematical Sciences, 202104) 
A novel COVID19 epidemiological model with explicit susceptible and asymptomatic isolation compartments reveals unexpected consequences of timing social distancing
(Elsevier, 202102)Motivated by the current COVID19 epidemic, this work introduces an epidemiological model in which separate compartments are used for susceptible and asymptomatic “socially distant” populations. Distancing directives are ... 
Predicting the impact of placing an overdose prevention site in Philadelphia: a mathematical modeling approach
(BMC, 20211030)Background: Fatal overdoses from opioid use and substance disorders are increasing at an alarming rate. One proposed harm reduction strategy for reducing overdose fatalities is to place overdose prevention sites—commonly ... 
Fostering diversity in toprated pure mathematics graduate programs
(American Mathematical Society, 202002)The lack of a diverse student body continues to be a problem among graduate programs in pure mathematics. This is true despite broad agreement among scholars that a more diverse student body would greatly improve the ... 
Mathematical approach to differentiate spontaneous and induced evolution to drug resistance during cancer treatment
(American Society of Clinical Oncology, 20190410)Drug resistance is a major impediment to the success of cancer treatment. Resistance is typically thought to arise through random genetic mutations, after which mutated cells expand via Darwinian selection. However, recent ... 
Primitive elements in subgroups of free groups
(200905)Question F39 on the World of Groups list of open problems reads: (a) Is there an algorithm which, when given a finitely generated subgroup S of a free group F and an element g of F, decides whether or not there is an ... 
Using representations to study knots
(200907) 
Weights of essential surfaces
(201910)The boundary slopes of essential surfaces in knot complements play an important role in understanding character varieties of knots and of the 3manifolds arising from Dehn surgeries on the knots. An algorithm of Hatcher ... 
Seminar
(201912)