Models of Biological Growth and Spread

Models of Biological Growth and Spread PDF Author: Willi Jäger
Publisher:
ISBN:
Category : Biology
Languages : en
Pages : 511

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Book Description

Models of Biological Growth and Spread

Models of Biological Growth and Spread PDF Author: Willi Jäger
Publisher:
ISBN:
Category : Biology
Languages : en
Pages : 511

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Book Description


Biological Growth and Spread

Biological Growth and Spread PDF Author: W. Jäger
Publisher: Springer Science & Business Media
ISBN: 3642618502
Category : Science
Languages : en
Pages : 521

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Book Description
These Proceedings have been assembled from papers presented at the Conference on Models of Biological Growth and Spread, held at the German Cancer Research Centre Heidelberg and at the Institute of Applied Mathematics of the University of Heidelberg, July 16-21, 1979. The main theme of the conference was the mathematical representation of biolog ical populations with an underlying spatial structure. An important feature of such populations is that they and/or their individual com ponents may interact with each other. Such interactions may be due to external disturbances, internal regulatory factors or a combination of both. Many biological phenomena and processes including embryogenesis, cell growth, chemotaxis, cell adhesion, carcinogenesis, and the spread of an epidemic or of an advantageous gene can be studied in this con text. Thus, problems of particular importance in medicine (human and veterinary), agriculture, ecology, etc. may be taken into consideration and a deeper insight gained by utilizing (more) realistic mathematical models. Since the intrinsic biological mechanisms may differ considerably from each other, a great variety of mathematical approaches, theories and techniques is required. The aims of the conference were (i) To provide an overview of the most important biological aspects. (ii) To survey and analyse possible stochastic and deterministic approaches. (iii) To encourage new research by bringing together mathematicians interested in problems of a biological nature and scientists actively engaged in developing mathematical models in biology.

Modeling Dynamic Biological Systems

Modeling Dynamic Biological Systems PDF Author: Bruce Hannon
Publisher: Springer
ISBN: 3319056158
Category : Science
Languages : en
Pages : 434

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Book Description
Many biologists and ecologists have developed models that find widespread use in theoretical investigations and in applications to organism behavior, disease control, population and metapopulation theory, ecosystem dynamics, and environmental management. This book captures and extends the process of model development by concentrating on the dynamic aspects of these processes and by providing the tools such that virtually anyone with basic knowledge in the Life Sciences can develop meaningful dynamic models. Examples of the systems modeled in the book range from models of cell development, the beating heart, the growth and spread of insects, spatial competition and extinction, to the spread and control of epidemics, including the conditions for the development of chaos. Key features: - easy-to-learn and easy-to-use software - examples from many subdisciplines of biology, covering models of cells, organisms, populations, and metapopulations - no prior computer or programming experience required Key benefits: - learn how to develop modeling skills and system thinking on your own rather than use models developed by others - be able to easily run models under alternative assumptions and investigate the implications of these assumptions for the dynamics of the biological system being modeled - develop skills to assess the dynamics of biological systems

Stochastic Spatial Processes

Stochastic Spatial Processes PDF Author: Petre Tautu
Publisher: Springer
ISBN: 3540470530
Category : Mathematics
Languages : en
Pages : 320

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Book Description
Proceedings of a Conference held in Heidelberg, September 10 - 14, 1984

Exactly Solvable Models of Biological Invasion

Exactly Solvable Models of Biological Invasion PDF Author: Sergei V. Petrovskii
Publisher: CRC Press
ISBN: 9781584885214
Category : Mathematics
Languages : en
Pages : 242

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Book Description
Much of our current knowledge on biological invasion was derived from field studies, but many recent advances relied heavily on mathematics and computing, particularly mathematical modeling. While numerical simulations are clearly a useful approach, they have some serious drawbacks. Approximations errors and the number of parameter values can have a significant impact on the simulation results, the extent of which often remains obscure. Such difficulties do not arise, however, when the problem can be solved analytically. Exactly Solvable Models of Biological Invasion demonstrates the advantages and methods of obtaining exact solutions of partial differential equations that describe nonlinear problems encountered in the study of invasive species spread. With emphasis on PDEs of diffusion-reaction type, the authors present a comprehensive collection of exactly solvable models and a unified, self-contained description of the relevant mathematical methods. In doing so, they also provide new insight into important issues such as the impact of the Allee effect, the impact of predation, and the interplay between different modes of species dispersal. Full calculation details make this presentation accessible to biologists as well as applied mathematicians, and a range of ecological examples and applications demonstrate the utility of exact methods in practice. Exact solutions provide an immediate, complete description of system dynamics for a wide class of initial conditions and serve as a convenient tool for testing numerical algorithms and codes used in more specialized studies. This book lays the groundwork for bringing the power of exactly solvable models to bear on real-world ecological problems.

National Library of Medicine Current Catalog

National Library of Medicine Current Catalog PDF Author: National Library of Medicine (U.S.)
Publisher:
ISBN:
Category : Medicine
Languages : en
Pages : 1456

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Book Description


Structuring Biological Systems

Structuring Biological Systems PDF Author: S. Sitharama Iyengar
Publisher: CRC Press
ISBN: 9780849379611
Category : Science
Languages : en
Pages : 296

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Book Description
Structuring Biological Systems focuses on the important components of biological systems in order to develop genetic algorithms for modeling purposes. The book considers the characteristics of biological systems from the artificial intelligence point of view, examines modeling examples of complex biological systems (such as molecular level modeling, a model of renal hemodynamics, and cognitive aspects of modeling), describes the entropy-based probability distribution for modeling of environmental and biological systems, and presents a detailed analysis of modeling cancer phenomena. Structuring Biologic Systems will benefit students and researchers interested in an interdisciplinary approach to complex problems of biological systems, as well as biologists, chemists, engineers, research physicians, and computer scientists.

国立国会図書館所蔵科学技術関係欧文会議錄目錄

国立国会図書館所蔵科学技術関係欧文会議錄目錄 PDF Author: 国立国会図書館 (Japan)
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 672

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Book Description


Modelling Biological Populations in Space and Time

Modelling Biological Populations in Space and Time PDF Author: Eric Renshaw
Publisher: Cambridge University Press
ISBN: 9780521448550
Category : Mathematics
Languages : en
Pages : 428

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Book Description
This volume develops a unifying approach to population studies, emphasising the interplay between modelling and experimentation. Throughout, mathematicians and biologists are provided with a framework within which population dynamics can be fully explored and understood. Aspects of population dynamics covered include birth-death and logistic processes, competition and predator-prey relationships, chaos, reaction time-delays, fluctuating environments, spatial systems, velocities of spread, epidemics, and spatial branching structures. Both deterministic and stochastic models are considered. Whilst the more theoretically orientated sections will appeal to mathematical biologists, the material is presented so that readers with little mathematical expertise can bypass these without losing the main flow of the text.

Invasive Plant Ecology

Invasive Plant Ecology PDF Author: Shibu Jose
Publisher: CRC Press
ISBN: 1439881278
Category : Nature
Languages : en
Pages : 302

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Book Description
Invasion of non-native plant species, which has a significant impact on the earth's ecosystems, has greatly increased in recent years due to expanding trade and transport among different countries. Understanding the ecological principles underlying the invasive process as well as the characteristics of the invasive plants is crucial for making good