Biomathematics and Related Computational Problems

Biomathematics and Related Computational Problems

... including numerous outstanding leaders in the various branches of biomathematics and its applications. ... with a special enphasis on the mathematical and computational methods and on the discussion of special problems for ...

Author: L.M. Ricciardi

Publisher: Springer Science & Business Media

ISBN: 9789400929753

Category: Mathematics

Page: 734

View: 905

Biomathematics emerged and rapidly grew as an independent discipline in the late sixties as scientists with various backgrounds in the mathematical, biological and physical sciences gathered together to form Departments and Institutes centered around this discipline that many at that time felt should fall between the cracks of legitimate science. For various reasons some of these new institutions vanished in the mid-seventies, particularly in the U. S. , the main reason for their demise being economic. Nevertheless, good biomathematical so that the range research has been ceaselessly carried on by numerous workers worldwide of this activity appears now as truly impressive: from useful and effective mathematical statements about problems that are firmly rooted in the 'wet' reality of biology to deep theoretical investigations on outstanding basic questions. It is also interesting to take note that some ideas and theories set forth by 'paleo-biomathematicians' almost a quarter of century ago are now becoming highly appreciated also by scientists engaged in quite different research fields. For instance, neural nets is the hot topic in computer science these days! Well aware of the growing interest in this relatively new field, years back I organized a small workshop on Biomathematics: Current Status and Future Perspectives which was held at the University of Salerno during the middle of April, 1980.
Categories: Mathematics

Trends in Biomathematics Modeling Optimization and Computational Problems

Trends in Biomathematics  Modeling  Optimization and Computational Problems

When dealing with economically and socially significant infectious diseases, in particular AIDS and tuberculosis, the central problem is to optimally distribute the limited resources among different treatment and prophylaxis programs.

Author: Rubem P. Mondaini

Publisher: Springer

ISBN: 9783319910925

Category: Mathematics

Page: 423

View: 423

This book brings together carefully selected, peer-reviewed works on mathematical biology presented at the BIOMAT International Symposium on Mathematical and Computational Biology, which was held at the Institute of Numerical Mathematics, Russian Academy of Sciences, in October 2017, in Moscow. Topics covered include, but are not limited to, the evolution of spatial patterns on metapopulations, problems related to cardiovascular diseases and modeled by boundary control techniques in hemodynamics, algebraic modeling of the genetic code, and multi-step biochemical pathways. Also, new results are presented on topics like pattern recognition of probability distribution of amino acids, somitogenesis through reaction-diffusion models, mathematical modeling of infectious diseases, and many others. Experts, scientific practitioners, graduate students and professionals working in various interdisciplinary fields will find this book a rich resource for research and applications alike.
Categories: Mathematics

Current Catalog

Current Catalog

9306104 International Workshop on Biomathematics and Related Computational Problems ( 1987 : Naples , Italy and Anacapri , Italy ) . Biomathematics and related computational problems / edited by Luigi M. Ricciardi .

Author: National Library of Medicine (U.S.)

Publisher:

ISBN: UOM:39015074107676

Category: Medicine

Page:

View: 273

First multi-year cumulation covers six years: 1965-70.
Categories: Medicine

Numerical Bifurcation Analysis for Reaction Diffusion Equations

Numerical Bifurcation Analysis for Reaction Diffusion Equations

J. Dynamics and Differential Equations, 4:419–443, 1992. 229. M. Mimura: Pattern-dynamics in excitable reaction-diffusion systems. In: L.M. Ricciardi (Ed.), Biomathematics and related computational problems, pp.

Author: Zhen Mei

Publisher: Springer Science & Business Media

ISBN: 9783662041772

Category: Mathematics

Page: 414

View: 346

This monograph is the first to provide readers with numerical tools for a systematic analysis of bifurcation problems in reaction-diffusion equations. Many examples and figures illustrate analysis of bifurcation scenario and implementation of numerical schemes. Readers will gain a thorough understanding of numerical bifurcation analysis and the necessary tools for investigating nonlinear phenomena in reaction-diffusion equations.
Categories: Mathematics

Difference Equations

Difference Equations

Journal of Symbolic Computation , 9 : 251-280 , 1990 . ... The problem of time unit in Leslie's population model . ... In L. M. Ricciardi , editor , Biomathematics and Related Computational Problems , pages 271-278 .

Author: Paul Cull

Publisher: Springer Science & Business Media

ISBN: 0387232346

Category: Mathematics

Page: 392

View: 384

In this new text, designed for sophomores studying mathematics and computer science, the authors cover the basics of difference equations and some of their applications in computing and in population biology. Each chapter leads to techniques that can be applied by hand to small examples or programmed for larger problems. Along the way, the reader will use linear algebra and graph theory, develop formal power series, solve combinatorial problems, visit Perron—Frobenius theory, discuss pseudorandom number generation and integer factorization, and apply the Fast Fourier Transform to multiply polynomials quickly. The book contains many worked examples and over 250 exercises. While these exercises are accessible to students and have been class-tested, they also suggest further problems and possible research topics.
Categories: Mathematics

Applications of Fractals and Chaos

Applications of Fractals and Chaos

... in eural systems: Simulation and analysis, in Biomathematics and Related Computational Problems, Ricciardi, L.M., Ed., ... G., Patterned and irregular activity in excitable media, in Biomathematics and Related Computation Problem, ...

Author: A.J. Crilly

Publisher: Springer Science & Business Media

ISBN: 9783642780974

Category: Computers

Page: 277

View: 563

Applications of Fractals and Chaos presents new developments in this rapidlydeveloping subject area. The presentation is more than merely theoretical, it specifically presents particular applications in a wide range of applications areas. Under the oceans, we consider the ways in which sponges and corals grow; we look, too, at the stability of ships on their surfaces. Land itself is modelled and applications to art, medicineand camouflage are presented. Readers should find general interest in the range of areas considered and should also be able to discover methods of value for their own specific areas of interest from studying the structure of related activities.
Categories: Computers

Nonlinear Wave Processes in Excitable Media

Nonlinear Wave Processes in Excitable Media

Kluwer Academic Publ. in Biomathematics and Related Computational Problems, 697–716. Winfree, A. T. & Jahnke, W. J. (1989). Three-dimensional scroll ring dynamics in the Belousov-Zhabotinsky reagent and the 2-variable Oregonator model.

Author: Arunn V. Holden

Publisher: Springer

ISBN: 9781489936837

Category: Science

Page: 526

View: 280

Proceedings of a NATO ARW held in Leeds, UK, September 11-15, 1989
Categories: Science

Universality and Emergent Computation in Cellular Neural Networks

Universality and Emergent Computation in Cellular Neural Networks

... 1999] Harth, E., and Pandya, A.S., “Dynamics of ALOPEX process: application to optimization problems”, Biomathematics and Related Computational Problems, L.M. Ricciardi (Ed. ), Kluwer Academic Publishers, 459-471, 1988.

Author: Radu Dogaru

Publisher: World Scientific

ISBN: 9789812564504

Category: Computers

Page: 247

View: 563

Cellular computing is a natural information processing paradigm, capable of modeling various biological, physical and social phenomena, as well as other kinds of complex adaptive systems. The programmingof a cellular computer is in many respects similar to the geneticevolution in biology, the result being a proper cell design and atask-specific gene.
Categories: Computers

An Introduction to Continuous Time Stochastic Processes

An Introduction to Continuous Time Stochastic Processes

Applied Mathematics and Computation, 329, 210–226. https://doi.org/10.1016/j.amc.2018.02.009. Cai, S., Cai, Y., & Mao, ... In L. M. Ricciardi (Ed.), Biomathematics and related computational problems (pp. 255–269). Dordrecht: Kluwer.

Author: Vincenzo Capasso

Publisher: Springer Nature

ISBN: 9783030696535

Category: Mathematics

Page: 560

View: 204

This textbook, now in its fourth edition, offers a rigorous and self-contained introduction to the theory of continuous-time stochastic processes, stochastic integrals, and stochastic differential equations. Expertly balancing theory and applications, it features concrete examples of modeling real-world problems from biology, medicine, finance, and insurance using stochastic methods. No previous knowledge of stochastic processes is required. Unlike other books on stochastic methods that specialize in a specific field of applications, this volume examines the ways in which similar stochastic methods can be applied across different fields. Beginning with the fundamentals of probability, the authors go on to introduce the theory of stochastic processes, the Itô Integral, and stochastic differential equations. The following chapters then explore stability, stationarity, and ergodicity. The second half of the book is dedicated to applications to a variety of fields, including finance, biology, and medicine. Some highlights of this fourth edition include a more rigorous introduction to Gaussian white noise, additional material on the stability of stochastic semigroups used in models of population dynamics and epidemic systems, and the expansion of methods of analysis of one-dimensional stochastic differential equations. An Introduction to Continuous-Time Stochastic Processes, Fourth Edition is intended for graduate students taking an introductory course on stochastic processes, applied probability, stochastic calculus, mathematical finance, or mathematical biology. Prerequisites include knowledge of calculus and some analysis; exposure to probability would be helpful but not required since the necessary fundamentals of measure and integration are provided. Researchers and practitioners in mathematical finance, biomathematics, biotechnology, and engineering will also find this volume to be of interest, particularly the applications explored in the second half of the book.
Categories: Mathematics

Energy Methods for Free Boundary Problems

Energy Methods for Free Boundary Problems

and boundary problems for equations of the type of non-stationary filtration, Izv. Akad. ... TESEI, On a strongly coupled parabolic system in population dynamics, in Biomathematics and Related Computational Problems (Naples, 1987), ...

Author: S.N. Antontsev

Publisher: Springer Science & Business Media

ISBN: 9781461200918

Category: Technology & Engineering

Page: 332

View: 186

For the past several decades, the study of free boundary problems has been a very active subject of research occurring in a variety of applied sciences. What these problems have in common is their formulation in terms of suitably posed initial and boundary value problems for nonlinear partial differential equations. Such problems arise, for example, in the mathematical treatment of the processes of heat conduction, filtration through porous media, flows of non-Newtonian fluids, boundary layers, chemical reactions, semiconductors, and so on. The growing interest in these problems is reflected by the series of meetings held under the title "Free Boundary Problems: Theory and Applications" (Ox ford 1974, Pavia 1979, Durham 1978, Montecatini 1981, Maubuisson 1984, Irsee 1987, Montreal 1990, Toledo 1993, Zakopane 1995, Crete 1997, Chiba 1999). From the proceedings of these meetings, we can learn about the different kinds of mathematical areas that fall within the scope of free boundary problems. It is worth mentioning that the European Science Foundation supported a vast research project on free boundary problems from 1993 until 1999. The recent creation of the specialized journal Interfaces and Free Boundaries: Modeling, Analysis and Computation gives us an idea of the vitality of the subject and its present state of development. This book is a result of collaboration among the authors over the last 15 years.
Categories: Technology & Engineering