Exploring the interplay between deep theory and intricate computation, this volume is a compilation of research and survey papers in number theory, written by members of the Women In Numbers (WIN) network, principally by the collaborative research groups formed at Women In Numbers 3, a conference at the Banff International Research Station in Banff, Alberta, on April 21-25, 2014. The papers span a wide range of research areas: arithmetic geometry; analytic number theory; algebraic number theory; and applications to coding and cryptography. The WIN conference series began in 2008, with the aim of strengthening the research careers of female number theorists. The series introduced a novel research-mentorship model: women at all career stages, from graduate students to senior members of the community, joined forces to work in focused research groups on cutting-edge projects designed and led by experienced researchers. The goals for Women In Numbers 3 were to establish ambitious new collaborations between women in number theory, to train junior participants about topics of current importance, and to continue to build a vibrant community of women in number theory. Forty-two women attended the WIN3 workshop, including 15 senior and mid-level faculty, 15 junior faculty and postdocs, and 12 graduate students.

Exploring the interplay between deep theory and intricate computation, this volume is a compilation of research and survey papers in number theory, written by members of the Women In Numbers (WIN) network, principally by the collaborative research groups formed at Women In Numbers 3, a conference at the Banff International Research Station in Banff, Alberta, on April 21-25, 2014. The papers span a wide range of research areas: arithmetic geometry; analytic number theory; algebraic number theory; and applications to coding and cryptography. The WIN conference series began in 2008, with the aim of strengthening the research careers of female number theorists. The series introduced a novel research-mentorship model: women at all career stages, from graduate students to senior members of the community, joined forces to work in focused research groups on cutting-edge projects designed and led by experienced researchers. The goals for Women In Numbers 3 were to establish ambitious new collaborations between women in number theory, to train junior participants about topics of current importance, and to continue to build a vibrant community of women in number theory. Forty-two women attended the WIN3 workshop, including 15 senior and mid-level faculty, 15 junior faculty and postdocs, and 12 graduate students.

Even though numerous questions with regard to the pathogenesis of athero sclerosis have not yet been answered, the accumulated evidence indicates significant regression of lesions in experimental animals. This is discussed extensively in this monograph, as are the mechanisms involved in regression of lesions. Whether human atherosclerosis has the potential for regression appears to be the most important, but at the same time the most difficult question to answer. Contrary to experimental atherosclerosis in animals, which can be produced and which can regress within a few months, human lesions in general develop slowly over many years. Therefore, measures aimed at modifying this process may also require many years to be successful. In addition, repeated direct examination of lesions in the human is usually not possible. Nevertheless, recent reports in patients with hyperlipoproteinemias indicate that pronounced and maintained control of hyperlipidemias may lead, even within months, to regression as evidenced by angiography or sophisticated measurements of peripheral circulation. The monograph is divided into two sections. The first will deal with of lipid deposition in the arterial wall, whether "atherogenesis" mechanisms or not there is evidence of monoclonal origin of human atherosclerosis plaques, cell culture and factors that stimulate smooth muscle proliferation, and animal models of atherogenesis. This section is concluded with a discussion of dietary factors other than lipids in atherogenesis."

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