Inicio > Matemáticas y ciencia > Biologia, ciencias de la vida > Numerical PDE Analysis of the Blood Brain Barrier
Numerical PDE Analysis of the Blood Brain Barrier

Numerical PDE Analysis of the Blood Brain Barrier

William E Schiesser

117,95 €
IVA incluido
Disponible
Editorial:
World Scientific Publishing Co Pte Ltd
Año de edición:
2018
Materia
Biologia, ciencias de la vida
ISBN:
9789813275799
117,95 €
IVA incluido
Disponible

Selecciona una librería:

  • eBook Movil
  • Librería 7artes
  • Librería Carmen
  • Donde los libros
  • Librería Kolima
  • Librería Elías
  • Librería Proteo

The remarkable functionality of the brain is made possible by the metabolism (chemical reaction) of oxygen (O₂) and nutrients in the brain. These metabolism components are supplied to the brain by an intricate blood circulatory system (vasculature). The blood brain barrier (BBB), which is the central topic of this book, determines the rate of transfer from the blood to the brain tissue.In particular, mathematical models are developed for mass transfer across the BBB based on partial differential equations (PDEs) applied to the blood capillaries, the endothelial membrane, and the brain tissue. The PDEs derived from mass balances and computer routines in R are presented for the numerical (computer-based) solution of the PDEs. The computed concentration profiles of the transferred components are functions of time and space within the BBB system, i.e., spatiotemporal solutions.The R routines and the associated numerical algorithms for computing the numerical solutions are discussed in detail. The discussion is introductory, without formal mathematics, e.g., theorems and proofs. The general methodology (algorithm) for numerical PDE solutions is the method of lines (MOL).The models are used to study the transfer of oxygen and nutrients, harmful substances that should not enter the brain such as chemicals and pathogens (viruses, bacteria), and therapeutic drugs. The intent of the book is to provide a quantitative approach to the study of BBB dynamics using a computer-based methodology programmed in R, a quality open-source scientific programming system that is easily downloaded from the Internet for execution on modest computers.

Artículos relacionados

  • Viral Replication Complexes
    Viruses are obligate intracellular parasites that need to co-opt a living cell’s machinery for replication. At the heart of the viral replication machinery are the nucleic acid polymerases, which are responsible for efficiently copying the viral genome. This process must often be coordinated with other viral processes, including protein translation and viral packaging. The poly...
    Disponible

    99,07 €

  • Advances in Flavivirus Research
    The flaviviruses are composed almost entirely of arthropod-borne viruses, a subset of which are responsible for millions of cases of human disease each year. Among these viruses are dengue virus—a scourge throughout the tropical regions of Asia and the Americas; yellow fever virus—the “original” hemorrhagic fever virus; and the recently emerged Zika virus. While the flaviviruse...
    Disponible

    51,85 €

  • Brain Asymmetry of Structure and/or Function
    Lesley J. Rogers / Lesley JRogers
    This edited book brings together research reports on the asymmetry of brain function in various species, including humans, dogs, birds, lizards and bees. As shown in a wide range of species, and, as we now know, not solely in humans, the left and right sides of the brain process information in different ways and control different responses or patterns of behaviour. Since this d...
    Disponible

    51,71 €

  • Fungal Pigments
    With the impact of globalization in research trends, the search for healthier life styles, the increasing public demand for natural, organic, and ‘clean labelled’ products, as well as the growing global market for natural colorants in economically fast-growing countries all over the world, filamentous fungi started to be investigated as readily available sources of chemically d...
    Disponible

    43,80 €

  • The Epithelialto- Mesenchymal Transition ( EMT ) in Cancer
    Joëlle Roche
    The epithelial-to-mesenchymal transition (EMT) is a highly dynamic process with multiple transitional states, by which epithelial cells can convert into a mesenchymal phenotype. This process involves loss of cellular adhesion and cellular polarity, and an improvement in migratory and invasive properties. It occurs during normal embryonic development, tissue regeneration, organ ...
    Disponible

    67,86 €

  • Acanthamoeba
    Naveed Ahmed Khan
    This fully up-to-date book covers all aspects of Acanthamoeba biology. Following the success of the first edition, the author has extensively revised and expanded the text to produce a new volume that includes all the latest research and information on every aspect of this organism. There is a particular emphasis on the Acanthamoeba genome sequence and the novel insights gained...
    Consulta disponibilidad

    392,18 €

Otros libros del autor

  • Mathematical Modeling of Virus Infection
    William E Schiesser
    Two models for the spread and control of a virus are detailed in this book: The Lung/Respiratory System Model (LSM) and the SVIR (Susceptible-Vaccinated-Infected-Recovered) Model.The LSM gives the spatiotemporal distribution of four viral-related proteins: virus population density along the lung air passage, host cell primary infection protein (viral genetic material (VGM)) con...
    Disponible

    93,78 €

  • Computational Modeling of the COVID-19 Disease
    William E Schiesser
    The book is intended for readers who are interested in learning about the use of computer-based modelling of the COVID-19 disease. It provides a basic introduction to a five-ordinary differential equation (ODE) model by providing a complete statement of the model, including a detailed discussion of the ODEs, initial conditions and parameters, followed by a line-by-line explanat...
    Disponible

    57,21 €

  • A Mathematical Modeling Approach to Infectious Diseases
    William E Schiesser
    The intent of this book is to provide a methodology for the analysis of infectious diseases by computer-based mathematical models. The approach is based on ordinary differential equations (ODEs) that provide time variation of the model dependent variables and partial differential equations (PDEs) that provide time and spatial (spatiotemporal) variations of the model dependent v...
    Disponible

    117,03 €

  • Method of Lines Analysis of Turing Models
    William E Schiesser
    This book is directed toward the numerical integration (solution) of a system of partial differential equations (PDEs) that describes a combination of chemical reaction and diffusion, that is, reaction-diffusion PDEs. The particular form of the PDEs corresponds to a system discussed by Alan Turing and is therefore termed a Turing model.Specifically, Turing considered how a reac...
    Disponible

    105,65 €

  • Computational Chemotaxis Models for Neurodegenerative Disease
    William E Schiesser
     The mathematical model presented in this book, based on partial differential equations (PDEs) describing attractant-repellent chemotaxis, is offered for a quantitative analysis of neurodegenerative disease (ND), e.g., Alzheimer's disease (AD). The model is a representation of basic phenomena (mechanisms) for diffusive transport and biochemical kinetics that provides the sp...
    Disponible

    115,43 €

  • Computational Chemotaxis Models for Neurodegenerative Disease
    William E Schiesser
     The mathematical model presented in this book, based on partial differential equations (PDEs) describing attractant-repellent chemotaxis, is offered for a quantitative analysis of neurodegenerative disease (ND), e.g., Alzheimer's disease (AD). The model is a representation of basic phenomena (mechanisms) for diffusive transport and biochemical kinetics that provides the sp...
    Disponible

    68,76 €