Promptedby recent clinical observations on the phenomenon of metastasis inhibition by an angiogenesis inhibitor, a mathematical model is developed to describe the post-surgical response of the local environment to the "surgical" removal of a spherical tumor in an infinite homogeneous domain. The primary tumor is postulated to be a source of growth inhibitor prior to its removal at t = 0; the resulting relaxation wave arriving from the disturbed (previously steady) state is studied, closed form analytic solutions are derived, and the asymptotic speed of the pulse is estimated to be about 2 x 10W4 cm/set for the parameters chosen. In general, the asymptotic speed is found to be 2fi, where D is the diffusion coefficient and y is the inhibitor depletion or decay rate.
As a high school algebra teacher continuing as a student in a Master’s of Mathematics Program, the author decided with the help of an advisor to see what effect incorporating history had on an Algebra II Honors course. The following paper includes a brief review of research, analysis of ways to incorporate history of mathematics into the classroom, examples of methods used in the classroom, and the effect this had on student and teacher learning and attitudes.
A new program that improves the recruitment of underrepresented students has been recently implemented at Texas A&M-Corpus Christi. The program is designed to attract juniors in high schools to participate in two-week summer workshops and a follow-up science and technology exhibit. The workshops introduce students to college life, involve them in hands-on activities, and encourage them to pursue science and engineering careers. This paper presents the evaluation results of summer 2003 workshops.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.