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A Stochastic Model for Immunological Feedback in Carcinogenesis: Analysis and Approximations, N. Dubin


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Автор: N. Dubin
Название:  A Stochastic Model for Immunological Feedback in Carcinogenesis: Analysis and Approximations
ISBN: 9783540077862
Издательство: Springer
Классификация: ISBN-10: 3540077863
Обложка/Формат: Paperback
Страницы: 165
Вес: 0.30 кг.
Дата издания: 01.06.1976
Серия: Lecture Notes in Biomathematics
Язык: English
Размер: 244 x 170 x 10
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Stochastic processes often pose the difficulty that, as soon as a model devi- ates from the simplest kinds of assumptions, the differential equations obtained for the density and the generating functions become mathematically formidable. Worse still, one is very often led to equations which have no known solution and dont yield to standard analytical methods for differential equations. In the model considered here, one for tumor growth with an immunological re- sponse from the normal tissue, a nonlinear term in the transition probability for the death of a tumor cell leads to the above-mentioned complications. Despite the mathematical disadvantages of this nonlinearity, we are able to consider a more sophisticated model biologically. Ultimately, in order to achieve a more realistic representation of a complicated phenomenon, it is necessary to examine mechanisms which allow the model to deviate from the more mathematically tractable linear format. Thus far, stochastic models for tumor growth have almost exclusively considered linear transition probabilities.


Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications

Автор: Yves Achdou; Guy Barles; Hitoshi Ishii; Grigory L.
Название: Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications
ISBN: 3642364322 ISBN-13(EAN): 9783642364327
Издательство: Springer
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Цена: 6288.00 р.
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Описание: Finite Difference Methods For Mean Field Games.- An Introduction to the Theory of Viscosity Solutions for First-Order Hamilton-Jacobi Equations and Applications.- A Short Introduction to Viscosity Solutions and the Large Time Behavior of Solutions of Hamilton-Jacobi Equations.- Idempotent/Tropical Analysis, the Hamilton-Jacobi and Bellman Equations.

Electrochemical Sensors in Immunological Analysis

Автор: That T. Ngo
Название: Electrochemical Sensors in Immunological Analysis
ISBN: 1489919767 ISBN-13(EAN): 9781489919762
Издательство: Springer
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Цена: 20896.00 р.
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Описание: It is based on a specific, competitive binding reaction between the analyte and the radio-labeled analog of the analyte for the specific antibody raised to the analyte.

Normal Approximations with Malliavin Calculus

Автор: Nourdin
Название: Normal Approximations with Malliavin Calculus
ISBN: 1107017777 ISBN-13(EAN): 9781107017771
Издательство: Cambridge Academ
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Цена: 11880.00 р.
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Описание: This book studies normal approximations by means of two powerful probabilistic techniques: the Malliavin calculus and Stein`s method. Largely self-contained it is perfect for self-study and will appeal both to researchers and to graduate students in probability and statistics.

Adaptive Algorithms and Stochastic Approximations

Автор: Albert Benveniste; S.S. Wilson; Michel Metivier; P
Название: Adaptive Algorithms and Stochastic Approximations
ISBN: 3642758967 ISBN-13(EAN): 9783642758966
Издательство: Springer
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Цена: 18167.00 р.
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Описание: Adaptive systems are widely encountered in many applications ranging through adaptive filtering and more generally adaptive signal processing, systems identification and adaptive control, to pattern recognition and machine intelligence: adaptation is now recognised as keystone of "intelligence" within computerised systems.

Yosida Approximations of Stochastic Differential Equations in Infinite Dimensions and Applications

Автор: Govindan
Название: Yosida Approximations of Stochastic Differential Equations in Infinite Dimensions and Applications
ISBN: 3319456822 ISBN-13(EAN): 9783319456829
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This research monograph brings together, for the first time, the varied literature on Yosida approximations of stochastic differential equations (SDEs) in infinite dimensions and their applications into a single cohesive work. The author provides a clear and systematic introduction to the Yosida approximation method and justifies its power by presenting its applications in some practical topics such as stochastic stability and stochastic optimal control. The theory assimilated spans more than 35 years of mathematics, but is developed slowly and methodically in digestible pieces.The book begins with a motivational chapter that introduces the reader to several different models that play recurring roles throughout the book as the theory is unfolded, and invites readers from different disciplines to see immediately that the effort required to work through the theory that follows is worthwhile. From there, the author presents the necessary prerequisite material, and then launches the reader into the main discussion of the monograph, namely, Yosida approximations of SDEs, Yosida approximations of SDEs with Poisson jumps, and their applications. Most of the results considered in the main chapters appear for the first time in a book form, and contain illustrative examples on stochastic partial differential equations. The key steps are included in all proofs, especially the various estimates, which help the reader to get a true feel for the theory of Yosida approximations and their use.This work is intended for researchers and graduate students in mathematics specializing in probability theory and will appeal to numerical analysts, engineers, physicists and practitioners in finance who want to apply the theory of stochastic evolution equations. Since the approach is based mainly in semigroup theory, it is amenable to a wide audience including non-specialists in stochastic processes.

Predictor Feedback for Delay Systems: Implementations and Approximations

Автор: Iasson Karafyllis; Miroslav Krstic
Название: Predictor Feedback for Delay Systems: Implementations and Approximations
ISBN: 3319423770 ISBN-13(EAN): 9783319423777
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Preview of Predictor Feedback and Delay Compensation.- Part I: Linear Systems Under Predictor Feedback.- Linear Systems with State Measurement.- Linear Systems with Output Measurement.- Part II: Nonlinear Systems Under Predictor Feedback.- Nonlinear Systems with State Measurement.- Nonlinear Systems with Output Measurement.- Application to the Chemostat.- Part III: Extensions of Predictor Feedback.- Systems Described by Integral Delay Equations.- Discrete-Time Systems.

The Gibbs Phenomenon in Fourier Analysis, Splines and Wavelet Approximations

Автор: A.J. Jerri
Название: The Gibbs Phenomenon in Fourier Analysis, Splines and Wavelet Approximations
ISBN: 0792351096 ISBN-13(EAN): 9780792351092
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Covers the basic elements of the Gibbs phenomenon as it appears in various applications where functions with jump discontinuities are represented. This book addresses methods of reducing, or filtering out, and such phenomena that cover the above function representations. It also includes a bibliography of some 350 references.

Perturbations, Approximations and Sensitivity Analysis of Optimal Control Systems

Автор: A. L. Dontchev
Название: Perturbations, Approximations and Sensitivity Analysis of Optimal Control Systems
ISBN: 3540124632 ISBN-13(EAN): 9783540124634
Издательство: Springer
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Цена: 12157.00 р.
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Electrochemical Sensors in Immunological Analysis

Автор: That T. Ngo
Название: Electrochemical Sensors in Immunological Analysis
ISBN: 0306425807 ISBN-13(EAN): 9780306425806
Издательство: Springer
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Цена: 28732.00 р.
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Описание: It is based on a specific, competitive binding reaction between the analyte and the radio-labeled analog of the analyte for the specific antibody raised to the analyte.

Biology of Carcinogenesis

Автор: M.J. Waring; B.A. Ponder
Название: Biology of Carcinogenesis
ISBN: 9401079420 ISBN-13(EAN): 9789401079426
Издательство: Springer
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Цена: 12157.00 р.
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Описание: There is no shonage of books on cancer. The quest to understand and control cancer is so absorbing that from time 10 time we really need to pause for a moment and try to take stock of the situation.

Respiratory Carcinogenesis

Автор: Mieczyslaw Pokorski
Название: Respiratory Carcinogenesis
ISBN: 3319169211 ISBN-13(EAN): 9783319169217
Издательство: Springer
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Цена: 13974.00 р.
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Описание: The book blends basic and clinical research on respiratory carcinogensis. The focus is on the search for novel molecular markers, derived from easily accessible tissues in clinical settings, such as the serum or bronchoalveolar lavage fluid, which could help diagnose cancer at an early stage and have a prognostic therapeutic value.

Risk and Progression Factors in Carcinogenesis

Автор: H.K. M?ller-Hermelink; H.G. Neumann; W. Dekant
Название: Risk and Progression Factors in Carcinogenesis
ISBN: 364264385X ISBN-13(EAN): 9783642643859
Издательство: Springer
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Цена: 18167.00 р.
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Описание: Cellular transformation and carcinogenesis are considered a multistep process starting with DNA lesions and progressing through loss of cellular growth control and increase invasive and metastatic properties.


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