1.

Record Nr.

UNINA9910777728603321

Titolo

Mathematical aspects of nonlinear dispersive equations [[electronic resource] /] / Jean Bourgain, Carlos E. Kenig, and S. Klainerman, editors

Pubbl/distr/stampa

Princeton, : Princeton University Press, 2007

ISBN

1-282-12960-0

9786612129605

1-4008-2779-5

Edizione

[Course Book]

Descrizione fisica

1 online resource (309 p.)

Collana

Annals of mathematics studies ; ; no. 163

Classificazione

SI 830

Altri autori (Persone)

BourgainJean <1954->

KenigCarlos E. <1953->

KlainermanSergiu <1950->

Disciplina

515/.355

Soggetti

Differential equations, Nonlinear

Nonlinear partial differential operators

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Frontmatter -- Contents -- Preface -- Chapter 1. On Strichartz's Inequalities and the Nonlinear Schrödinger Equation on Irrational Tori / Bourgain, J. -- Chapter 2. Diffusion Bound for a Nonlinear Schrödinger Equation / Bourgain, J. / Wang, W.-M. -- Chapter 3. Instability of Finite Difference Schemes for Hyperbolic Conservation Laws / Bressan, A. / Baiti, P. / Jenssen, H. K. -- Chapter 4. Nonlinear Elliptic Equations with Measures Revisited / Brezis, H. / Marcus, M. / Ponce, A. C. -- Chapter 5. Global Solutions for the Nonlinear Schrödinger Equation on Three-Dimensional Compact Manifolds / Burq, N. / Gérard, P. / Tzvetkov, N. -- Chapter 6. Power Series Solution of a Nonlinear Schrödinger Equation / Christ, M. -- Chapter 7. Eulerian-Lagrangian Formalism and Vortex Reconnection / Constantin, P. -- Chapter 8. Long Time Existence for Small Data Semilinear Klein-Gordon Equations on Spheres / Delort, J.-M. / Szeftel, J. -- Chapter 9. Local and Global Wellposedness of Periodic KP-I Equations / Ionescu, A. D. / Kenig, C. E. -- Chapter 10. The Cauchy Problem for the Navier-Stokes Equations with Spatially Almost Periodic Initial Data / Giga, Y. / Mahalov, A. / Nicolaenko, B. -- Chapter 11. Longtime Decay Estimates for the



Schrödinger Equation on Manifolds / Rodnianski, I. / Tao, T. -- Contributors -- Index

Sommario/riassunto

This collection of new and original papers on mathematical aspects of nonlinear dispersive equations includes both expository and technical papers that reflect a number of recent advances in the field. The expository papers describe the state of the art and research directions. The technical papers concentrate on a specific problem and the related analysis and are addressed to active researchers. The book deals with many topics that have been the focus of intensive research and, in several cases, significant progress in recent years, including hyperbolic conservation laws, Schrödinger operators, nonlinear Schrödinger and wave equations, and the Euler and Navier-Stokes equations.

2.

Record Nr.

UNINA9910821073203321

Titolo

The drug development paradigm in oncology : proceedings of a workshop / / Amanda Wagner Gee [and three others], rapporteurs

Pubbl/distr/stampa

Washington, District of Columbia : , : The National Academies Press, , 2018

©2018

ISBN

0-309-45797-1

0-309-45795-5

Descrizione fisica

1 online resource (122 pages) : illustrations (some color)

Disciplina

610.724

Soggetti

Clinical trials - United States

Drug development - United States

Developmental pharmacology - United States

United States

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references at the end of each chapters.

Sommario/riassunto

"Advances in cancer research have led to an improved understanding of the molecular mechanisms underpinning the development of cancer



and how the immune system responds to cancer. This influx of research has led to an increasing number and variety of therapies in the drug development pipeline, including targeted therapies and associated biomarker tests that can select which patients are most likely to respond, and immunotherapies that harness the body's immune system to destroy cancer cells. Compared with standard chemotherapies, these new cancer therapies may demonstrate evidence of benefit and clearer distinctions between efficacy and toxicity at an earlier stage of development. However, there is a concern that the traditional processes for cancer drug development, evaluation, and regulatory approval could impede or delay the use of these promising cancer treatments in clinical practice. This has led to a number of efforts--by patient advocates, the pharmaceutical industry, and the Food and Drug Administration (FDA)--to accelerate the review of promising new cancer therapies, especially for cancers that currently lack effective treatments. However, generating the necessary data to confirm safety and efficacy during expedited drug development programs can present a unique set of challenges and opportunities. To explore this new landscape in cancer drug development, the National Academies of Sciences, Engineering, and Medicine developed a workshop held in December 2016. This workshop convened cancer researchers, patient advocates, and representatives from industry, academia, and government to discuss challenges with traditional approaches to drug development, opportunities to improve the efficiency of drug development, and strategies to enhance the information available about a cancer therapy throughout its life cycle in order to improve its use in clinical practice. This publication summarizes the presentations and discussions from the workshop"--