Physical Sciences and Mathematics Commons^™

Superposition Formulas For Darboux Integrable Exterior Differential Sys-Tems, Ian M. Anderson, Mark E. Fels, Peter J. Vassiliou

Mathematics and Statistics Faculty Publications

In this article we solve an inverse problem in the theory of quotients for differential equations. We characterize a family of exterior differential systems that can be written as a quotient of a direct sum of two associated systems that are constructed from the original. The fact that a system can be written as a quotient can be used to find the general solution to these equations. Some examples are given to demonstrate the theory.

Substrate Induced Structural And Dynamics Changes In Human Phosphomevalonate Iinase And Implications For Mechanism, Andrew Lawrence Olson, Huili Yao, Timothy J. Herdendorf, Henry M. Miziorko, Supa Hannongbua, Patchareenat Saparpakom, Sheng Cai, Daniel S. Sem

Chemistry Faculty Research and Publications

Phosphomevalonate kinase (PMK) catalyzes an essential step in the mevalonate pathway, which is the only pathway for synthesis of isoprenoids and steroids in humans. PMK catalyzes transfer of the γ-phosphate of ATP to mevalonate 5-phosphate (M5P) to form mevalonate 5-diphosphate. Bringing these phosphate groups in proximity to react is especially challenging, given the high negative charge density on the four phosphate groups in the active site. As such, conformational and dynamics changes needed to form the Michaelis complex are of mechanistic interest. Herein, we report the characterization of substrate induced changes (Mg-ADP, M5P, and the ternary complex) in PMK using …

The Orchard Crossing Number Of An Abstract Graph, Elie Feder, David Garber

Publications and Research

.We introduce the Orchard crossing number, which is defined in a similar way to the well-known rectilinear crossing number. We compute the Orchard crossing number for some simple families of graphs. We also prove some properties of this crossing number.

Moreover, we define a variant of this crossing number which is tightly connected to the rectilinear crossing number, and compute it for some simple families of graphs.

Migration And Gender: The Case Of A Farming Ejido In Calakmul, Mexico, Claudia Radel, Birgit Schmook

Environment and Society Faculty Publications

As one of Mexico’s last agricultural frontiers, southern Mexico’s rural farming municipality of Calakmul has long been marked by rural in-migration. In the last few years this process has given place to an explosive growth of primarily male labor out-migration, particularly to the United States. The authors trace the outlines of the migration process from the perspective of one rural Calakmul community, to explore effects of men’s transnational migration on the household and community status of the women remaining behind. Analysis is based on quantitative data collected in 2004 from 25 households, and on in-depth qualitative interviews in 2005 with …

Los Maridos En El 'Norte'; Las Mujeres ¿Bien Gracias?, B. Schmook, Claudia Radel

Environment and Society Faculty Publications

La migración de mexicanos hacia Estados Unidos ha sido una constante en las relaciones entre ambas naciones desde hace más de siglo y medio, pero se ha intesificado considerablemente en las últimas tres décadas. Factores diversos como la vecindad geográfica, tendencias demográficas y laborales, la creciente integrción económica, la crisis del campo y las intensas relaciones e intercambios entre los dos países, hacen inevitable estos movimientos poblacionales.

Hydrologic Interdependencies And Human Cooperation: The Process Of Adapting To Droughts, Joanna Endter-Wada, Theresa Selfa, Lisa Welsh

Environment and Society Faculty Publications

The Bear River Basin, which includes portions of Idaho, Utah, and Wyoming in the United States, has a dynamic history of human hydrologic adaptations in relation to a highly variable water supply. These adaptations are embedded in a geographical setting highly influenced by the legal, policy, and institutional contexts that govern allocation of water in this generally arid region. In response to several years of drought and a historically low water year in 2004, water users in the Bear River Basin tested the efficacy of the “law of the river” and innovative agreements that they had negotiated in recent years …

Ecosystem Services In Decision Making: Time To Deliver, James Salzman, Gretchen C. Daily, Stephen Polasky, Joshua Goldstein, Peter M. Kareiva, Harold A. Mooney, Liba Pejchar, Taylor H. Ricketts, Robert Shallenberger

Faculty Scholarship

Over the past decade, efforts to value and protect ecosystem services have been promoted by many as the last, best hope for making conservation mainstream – attractive and commonplace worldwide. In theory, if we can help individuals and institutions to recognize the value of nature, then this should greatly increase investments in conservation, while at the same time fostering human well-being. In practice, however, we have not yet developed the scientific basis, nor the policy and finance mechanisms, for incorporating natural capital into resource- and land-use decisions on a large scale. Here, we propose a conceptual framework and sketch out …