This textbook offers a unique learning-by-doing introduction to the modern theory of partial differential equations. Through 65 fully solved problems, the book offers readers a fast but in-depth introduction to the field, covering advanced topics in microlocal analysis, including pseudo- and para-differential calculus, and the key classical equations, such as the Laplace, Schrödinger or Navier-Stokes equations. Essentially self-contained, the book begins with problems on the necessary tools from functional analysis, distributions, and the theory of functional spaces, and in each chapter the problems are preceded by a summary of the relevant results of the theory. Informed by the authors' extensive research experience and years of teaching, this book is for graduate students and researchers who wish to gain real working knowledge of the subject.
The book addresses controversies related to the origins of cancer and provides solutions to cancer management and prevention. It expands upon Otto Warburg's well-known theory that all cancer is a disease of energy metabolism. However, Warburg did not link his theory to the "hallmarks of cancer" and thus his theory was discredited. This book aims to provide evidence, through case studies, that cancer is primarily a metabolic disease requring metabolic solutions for its management and prevention. Support for this position is derived from critical assessment of current cancer theories. Brain cancer case studies are presented as a proof of principle for metabolic solutions to disease management, but similarities are drawn to other types of cancer, including breast and colon, due to the same cellular mutations that they demonstrate.
I) ADSORPTION EEEEEEEE E E carrier 2) COVALENT LINKAGE a) Insoluble support b) Intermolecular linkage N'E~ ~~ c) Soluble support 0 \:)....m 3) tM TRIX (MOLECULAR) ENTRAPMENT ~~~~~;;..,J~-polymer matrix 4) ENCAPSULATION membrane FIGURE I. Classification of immobilized enzymes. Covalently linked, adsorbed, and matrix-entrapped enzymes represent stage II, research on the microenvironment. Microencapsulation represents stage III, research on the intracellular environment. Further subdivision of microencapsulated enzymes will be found in Chapter 12. 4 T. M. S. CHANG matrix entrapment. In this section, detailed discussions will center on clinical analysis, urine analysis, monitoring of environmental pollution, radioimmune assay, enzyme-linked immunosorbent assay, enzyme electrodes, and other approaches involving immobilized enzymes, antibodies, and antigens. In the final section, research workers describe and discuss the perspectives of immobilized enzymes and proteins. Here, they speculate on the future potential of possible approaches, even though these may not have been extensively studied or tested at the laboratory stage. The biomedical applications of enzymes and proteins, especially in the thera peutic area, is in a very early stage of development. Much remains to be explored and studied, and the area is wide open for investigators interested in original research in a new interdisciplinary area. References Chang, T. M. S., 1972, Artificial Cells, Charles C. Thomas, Publisher, Springfield, Ill. Dunlop, R. B. (ed.), 1974, Immobilized Biochemicals and Affinity ChrOTIULtography, Plenum Press, N ew York.
Discussing the systemic immune response in the contexts of health, disease, and therapy, this unique resource-the only broadly based book of its kind available on the subject-offers comprehensive examinations of the pathways and agents that affect the human immune response and provides state-of-the-art presentations on practical methods of immune modulation. Focuses on the immune response and modulation in infectious diseases, such as HIV, hepatitis, and parasitic infections and highlights immune modulating agents in gastrointestinal diseases, sepsis, cancer, and autoimmunity! Written by over 50 international authorities representing distinguished institutions in nine countries, Immune Modulating Agents introduces basic immunoregulatory mechanisms as homeostasis details cytokines, cellular and humoral immune responses, and hematopoiesis describes neuroendocrine - immune system interactions and the role of psychological stress on immune competence delineates factors that influence disease susceptibility, including nutrition covers drug delivery systems, gene therapy, organ transplantation, arthritis treatment, and vaccination strategies shows how to design clinical trials using immune modulating agents and more!
This memoir is devoted to the proof of a well-posedness result for the gravity water waves equations, in arbitrary dimension and in fluid domains with general bottoms, when the initial velocity field is not necessarily Lipschitz. Moreover, for two-dimensional waves, the authors consider solutions such that the curvature of the initial free surface does not belong to L2. The proof is entirely based on the Eulerian formulation of the water waves equations, using microlocal analysis to obtain sharp Sobolev and Hölder estimates. The authors first prove tame estimates in Sobolev spaces depending linearly on Hölder norms and then use the dispersive properties of the water-waves system, namely Strichartz estimates, to control these Hölder norms.
This textbook offers a unique learning-by-doing introduction to the modern theory of partial differential equations. Through 65 fully solved problems, the book offers readers a fast but in-depth introduction to the field, covering advanced topics in microlocal analysis, including pseudo- and para-differential calculus, and the key classical equations, such as the Laplace, Schrödinger or Navier-Stokes equations. Essentially self-contained, the book begins with problems on the necessary tools from functional analysis, distributions, and the theory of functional spaces, and in each chapter the problems are preceded by a summary of the relevant results of the theory. Informed by the authors' extensive research experience and years of teaching, this book is for graduate students and researchers who wish to gain real working knowledge of the subject.
This will help us customize your experience to showcase the most relevant content to your age group
Please select from below
Login
Not registered?
Sign up
Already registered?
Success – Your message will goes here
We'd love to hear from you!
Thank you for visiting our website. Would you like to provide feedback on how we could improve your experience?
This site does not use any third party cookies with one exception — it uses cookies from Google to deliver its services and to analyze traffic.Learn More.