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Showing 1 - 12 of 21 results for “william e schiesser”
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  • Modeling of Post-Myocardial Infarction

    ODE/PDE Analysis with R

    by William E. Schiesser ...
    Modeling of Post-Myocardial Infarction: ODE/PDE Analysis with R presents mathematical models for the dynamics of a post-myocardial (post-MI), aka, a heart attack. The mathematical models discussed consist of six ordinary differential equations (ODEs) with dependent variables Mun; M1; M2; IL10; Tα; IL1. The system variables are explained as follows: dependent variable Mun = cell density of ... Read more

    $161.99 USD

  • Numerical Pde Analysis Of The Blood Brain Barrier: Method Of Lines In R

    by William E Schiesser ...
    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 ... Read more

    $70.99 USD

  • Mathematical Modeling Approach To Infectious Diseases, A: Cross Diffusion Pde Models For Epidemiology

    by 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 variables.The ... Read more

    $35.99 USD

  • Method Of Lines Analysis Of Turing Models

    by 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 reaction-diffusion ... Read more

    $62.99 USD

  • Computational Modeling Of The Covid-19 Disease: Numerical Ode Analysis With R Programming

    by 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 explanation of a set of R ... Read more

    $34.19 USD

  • Spline Collocation Methods for Partial Differential Equations

    With Applications in R

    by William E. Schiesser ...
    A comprehensive approach to numerical partial differential equationsSpline Collocation Methods for Partial Differential Equations combines the collocation analysis of partial differential equations (PDEs) with the method of lines (MOL) in order to simplify the solution process. Using a series of example applications, the author delineates the main features of the approach in detail, including an ... Read more

    $115.00 USD

  • Spatiotemporal Modeling of Cancer Immunotherapy

    Partial Differential Equation Analysis in R

    by William E. Schiesser ...
    Series series Biomedical and Life Sciences (R0)
    The focus of this book is a detailed discussion of a dual cancer vaccine (CV)-immune checkpoint inhibitor (ICI) mathematical model formulated as a system of partial differential equations (PDEs) defining the spatiotemporal distribution of cells and biochemicals during tumor growth.A computer implementation of the model is discussed in detail for the quantitative evaluation of CV-ICI therapy. The ... Read more

    $89.99 USD

  • PDE Modeling of Tissue Engineering and Regenerative Medicine

    Computer Analysis in R

    by William E. Schiesser ...
    PDE Modeling of Tissue Engineering and Regenerative Medicine: Computer Analysis in R presents the formulation and computer implementation of mathematical models for the forefront research areas of tissue engineering and regenerative medicine. The mathematical model discussed in this book consists of a system of eight partial differential equations (PDEs) with dependent variables. The computer ... Read more

    $161.99 USD

  • Mathematical Modeling Of Virus Infection: Ode/pde Analysis In R

    by 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)) concentration, host ... Read more

    $55.79 USD

  • Method of Lines PDE Analysis in Biomedical Science and Engineering

    by William E. Schiesser ...
    Presents the methodology and applications of ODE and PDE models within biomedical science and engineeringWith an emphasis on the method of lines (MOL) for partial differential equation (PDE) numerical integration*, Method of Lines PDE Analysis in Biomedical Science and Engineering* demonstrates the use of numerical methods for the computer solution of PDEs as applied to biomedical science and ... Read more

    $106.00 USD

  • ODE/PDE α-synuclein Models for Parkinson's Disease

    by William E. Schiesser ...
    ODE/PDE Alpha-Synuclein Models for Parkinson's Disease discusses a mechanism for the evolution of Parkinson's Disease (PD) based on the dynamics of the protein α-synuclein, a monomer that has been implicated in this disease. Specifically, α-synuclein morphs and aggregates into a polymer that can interfere with functioning neurons and lead to neurodegenerative pathology. This book first ... Read more

    $134.99 USD

  • Virus Host Cell Genetic Material Transport

    Computational ODE/PDE Modeling with R

    by William E. Schiesser ...
    Series series Biomedical and Life Sciences (R0)
    The reproduction and spread of a virus during an epidemic proceeds when the virus attaches to a host cell and viral genetic material (VGM) (protein, DNA, RNA) enters the cell, then replicates, and perhaps mutates, in the cell. The movement of the VGM across the host cell outer membrane and within the host cell is a spatiotemporal dynamic process that is modeled in this book as a system of ordinary ... Read more

    $116.09 USD