Biomathematics

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Author: S. Andersson
Publisher: Elsevier
ISBN: 9780080528076
Size: 61.26 MB
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Biomathematics by S. Andersson


Original Title: Biomathematics

This book presents new mathematics for the description of structure and dynamics in molecular and cellular biology. On an exponential scale it is possible to combine functions describing inner organisation, including finite periodicity, with functions for outside morphology into a complete definition of structure. This mathematics is particularly fruitful to apply at molecular and atomic distances. The structure descriptions can then be related to atomic and molecular forces and provide information on structural mechanisms. The calculations have been focussed on lipid membranes forming the surface layers of cell organelles. Calculated surfaces represent the mid-surface of the lipid bilayer. Membrane dynamics such as vesicle transport are described in this new language. Periodic membrane assemblies exhibit conformations based on the standing wave oscillations of the bilayer, considered to reflect the true dynamic nature of periodic membrane structures. As an illustration the structure of an endoplasmatic reticulum has been calculated. The transformation of such cell membrane assemblies into cubosomes seems to reflect a transition into vegetative states. The organisation of the lipid bilayer of nerve cells is analyzed, taking into account an earlier observed lipid bilayer phase transition associated with the depolarisation of the membrane. Evidence is given for a new structure of the alveolar surface, relating the mathematical surface defining the bilayer organisation to new experimental data. The surface layer is proposed to consist of a coherent phase, consisting of a lipid-protein bilayer curved according to a classical surface - the CLP surface. Without employing this new mathematics it would not be possible to give an analytical description of this structure and its deformation during the respiration cycle. In more general terms this mathematics is applied to the description of the structure and dynamic properties of motor proteins, cytoskeleton proteins, and RNA/DNA. On a macroscopic scale the motions of cilia, sperm and flagella are modelled. This mathematical description of biological structure and dynamics, biomathematics, also provides significant new information in order to understand the mechanisms governing shape of living organisms.

Advanced Topics In Biomathematics

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Author: Lansun Chen
Publisher: World Scientific Publishing Company Incorporated
ISBN:
Size: 66.29 MB
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Advanced Topics In Biomathematics by Lansun Chen


Original Title: Advanced Topics In Biomathematics

This book provides an excellent overview of current developments in a wide range of topics in biomathematics, such as population dynamics, neural networks, fishery markets, transmission of infectious diseases, genetic analysis, biostatistics and biomechanics. The contributors are leading researchers from Canada, the People's Republic of China, Hungary, Iceland, Italy, Japan, Singapore and the USA.

An Invitation To Biomathematics

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Author: Raina Robeva
Publisher: Academic Press
ISBN: 9780080550992
Size: 27.16 MB
Format: PDF, Mobi
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An Invitation To Biomathematics by Raina Robeva


Original Title: An Invitation To Biomathematics

Essential for all biology and biomathematics courses, this textbook provides students with a fresh perspective of quantitative techniques in biology in a field where virtually any advance in the life sciences requires a sophisticated mathematical approach. An Invitation to Biomathematics, expertly written by a team of experienced educators, offers students a solid understanding of solving biological problems with mathematical applications. This text succeeds in enabling students to truly experience advancements made in biology through mathematical models by containing computer-based hands-on laboratory projects with emphasis on model development, model validation, and model refinement. The supplementary work, Laboratory Manual of Biomathematics is available separately ISBN 0123740223, or as a set ISBN: 0123740290) * Provides a complete guide for development of quantification skills crucial for applying mathematical methods to biological problems * Includes well-known examples from across disciplines in the life sciences including modern biomedical research * Explains how to use data sets or dynamical processes to build mathematical models * Offers extensive illustrative materials * Written in clear and easy-to-follow language without assuming a background in math or biology * A laboratory manual is available for hands-on, computer-assisted projects based on material covered in the text

Laboratory Manual Of Biomathematics

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Author: Raina S. Robeva
Publisher: Academic Press
ISBN: 0123740223
Size: 35.85 MB
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Laboratory Manual Of Biomathematics by Raina S. Robeva


Original Title: Laboratory Manual Of Biomathematics

Laboratory Manual of Biomathematics is a companion to the textbook An Invitation to Biomathematics. This laboratory manual expertly aids students who wish to gain a deeper understanding of solving biological issues with computer programs. It provides hands-on exploration of model development, model validation, and model refinement, enabling students to truly experience advancements made in biology by mathematical models. Each of the projects offered can be used as individual module in traditional biology or mathematics courses such as calculus, ordinary differential equations, elementary probability, statistics, and genetics. Biological topics include: Ecology, Toxicology, Microbiology, Epidemiology, Genetics, Biostatistics, Physiology, Cell Biology, and Molecular Biology . Mathematical topics include Discrete and continuous dynamical systems, difference equations, differential equations, probability distributions, statistics, data transformation, risk function, statistics, approximate entropy, periodic components, and pulse-detection algorithms. It includes more than 120 exercises derived from ongoing research studies. This text is designed for courses in mathematical biology, undergraduate biology majors, as well as general mathematics. The reader is not expected to have any extensive background in either math or biology. Can be used as a computer lab component of a course in biomathematics or as homework projects for independent student work Biological topics include: Ecology, Toxicology, Microbiology, Epidemiology, Genetics, Biostatistics, Physiology, Cell Biology, and Molecular Biology Mathematical topics include: Discrete and continuous dynamical systems, difference equations, differential equations, probability distributions, statistics, data transformation, risk function, statistics, approximate entropy, periodic components, and pulse-detection algorithms Includes more than 120 exercises derived from ongoing research studies

Biomathematics

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Author: J C Misra
Publisher: World Scientific
ISBN: 9814487821
Size: 19.14 MB
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Biomathematics by J C Misra


Original Title: Biomathematics

This book on modelling and simulation in biomathematics will be invaluable to researchers who are interested in the emerging areas of the field. Graduate students in related areas as well as lecturers will also find it beneficial. Some of the chapters have been written by distinguished experts in the field. Contents:Detecting Mosaic Structures in DNA Sequence Alignments (D Husmeier)Application of Statistical Methodology and Model Design to Socio-Behaviour of HIV Transmission (J Oluwoye)A Stochastic Model Incorporating HIV Treatments for a Heterosexual Population: Impact on Threshold Conditions (R J Gallop et al.)Modeling and Identification of the Dynamics of the MF-Influenced Free-Radical Transformations in Lipid-Modeling Substances and Lipids (J Bentsman et al.)Computer Simulation of Self-Reorganization in Biological Cells (D Greenspan)Modelling Biological Gel Contraction by Cells: Consequences of Cell Traction Forces Distribution and Initial Stress (S Ramtani)Peristaltic Transport of Physiological Fluids (J C Misra & S K Pandey)Mathematical Modelling of DNA Knots and Links (J C Misra & S Mukherjee)Using Monodomain Computer Models for the Simulation of Electric Fields During Excitation Spread in Cardiac Tissue (G Plank)Flow in Tubes with Complicated Geometries with Special Application to Blood Flow in Large Arteries (G Jayaraman)Mathematical Modeling in Reproductive Biomedicine (S Sharma & S K Guha)Image Theory and Applications in Bioelectromagnetics (P D Einziger et al.)Dynamics of Humanoid Robots: Geometrical and Topological Duality (V G Ivancevic)The Effects of Body Composition on Energy Expenditure and Weight Dynamics During Hypophagia: A Setpoint Analysis (F P Kozusko)Mathematical Models in Population Dynamics and Ecology (R Dilão)Modelling in Bone Biomechanics (J C Misra & S Samanta) Readership: Graduate students, academic and researchers in biomathematics, mathematical biology, mathematical modeling, biotechnology, biocomputing, biophysics, bioengineering and mechanics. Keywords:

Evolution Equations Control Theory And Biomathematics

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Author: Philippe Clement
Publisher: CRC Press
ISBN: 9780824788858
Size: 80.67 MB
Format: PDF, Docs
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Evolution Equations Control Theory And Biomathematics by Philippe Clement


Original Title: Evolution Equations Control Theory And Biomathematics

Based on the Third International Workshop Conference on Evolution Equations, Control Theory and Biomathematics, held in Hans-sur-Lesse, Belgium. The papers examine important advances in evolution equations related to physical, engineering and biological applications.

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