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The book "Problems in Mathematical Biophysics - a volume in memory of Alberto Gandolfi" aims at reviewing the current state of the art of the mathematical approach to various areas of theoretical biophysics. Leading authors in the field have been invited to contribute, having a strong appreciation of Alberto Gandolfi as a scientist and as a man and sharing his same passion for biology and medicine, as well as his style of investigation. Encompassing both theoretical and practical aspects of Mathematical Biophysics, the topics covered in this book span a spectrum of different problems, in biology, and medicine, including population dynamics, tumor growth and control, immunology, epidemiology, ecology, and others. As a result, the book offers a comprehensive and current overview of compelling subjects and challenges within the realm of mathematical biophysics. In their contributions, the authors have effectively conveyed not only their research findings but also their peculiar perspective and approach to problem-solving, dealing with oncology, epidemiology, neuro-sciences, and biochemistry. The chapters pertain to a wide array of mathematical areas such as continuous Markov chains, partial differential equations, kinetic theory, applied statistical mechanics, noise-induced transitions, and many others.

Mathematics. --- Applications of Mathematics.

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The book provides the latest research results on measuring Credit Rating Migration by mathematical methods. It brings about most popular mathematical models, methods and applications on this area, especially presents the latest development on structure models. It is systematically collects the models, methods and results in this area. The book first introduced the financial background and preliminary mathematical theory. Then two mainstream mathematical models for measuring default risks, the reduced form model and structure model, are presented. The structure model for measuring credit rating migration risks is the main part of the book and authors prove the existence, uniqueness, regularities, asymptotic behavior, traveling wave and other properties of the solutions of the model. The structural credit rating migration model is also extended to more general case, such as stochastic interest rate, multiple ratings, region switch and so on. Some credit derivatives, and numerical analysis, parameter calibration and estimate of the migration boundary of the models are given in the last two chapters. The book focuses on theoretical financial investigators, especially financial mathematical researchers and students. The book is involved various mathematical models, such as PDE, numerical simulation etc., some of them are interesting mathematical problems, so that, and a good reference book to study mathematical modeling in credit rating migration. It might also be used as a textbook for students in financial credit risks.

Mathematics. --- Mathematical analysis. --- Applications of Mathematics. --- Analysis.

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Fluid mechanics. --- Hydraulics --- Theories --- Applications of mathematics --- Hydraulics --- Theories --- Applications of mathematics

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Factorial experiment designs. --- Plans factoriels --- Applications of mathematics --- Factor analysis

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Dieses Buch gibt einen methodisch fundierten Zugang zum wertorientierten Risikomanagement, einem fachübergreifenden Aufgabengebiet, das Komponenten aus dem Controlling und dem Aktuariat umfasst. Der anwendungsorientierten Ansatz versetzt den Leser in die Lage, ein auf quantitativen Methoden basiertes Risikomanagement unter kritischer Würdigung seiner Grenzen praktisch im Unternehmen zu implementieren. Die Schwerpunkte des Buches sind hierbei Risikokapital und Kapitalallokation, Erfolgsmessung und wertorientierte Steuerung. Es wird außerdem der Zusammenhang zu regulatorischen Entwicklungen (z. B. Solvency 2) hergestellt. In der Neuauflage wurden die Abschnitte über Solvency 2 vollständig überarbeitet und aktualisiert. Außerdem enthält dieses Buch ausführliche Rechenbeispiele, die in der Open Source Skriptensprache Julia programmiert wurden und aus dem Internet heruntergeladen werden können. Die Autoren Dr. Marcus Kriele, Eidgenössische Finanzmarktaufsicht FINMA, Bern, Schweiz Prof. Dr. Jochen Wolf, Hochschule Koblenz, Fachbereich Mathematik und Technik, Remagen.

Applied mathematics. --- Engineering mathematics. --- Insurance. --- Applications of Mathematics.