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

    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 ... Leer más

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  • Modeling of Post-Myocardial Infarction

    ODE/PDE Analysis with R

    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 ... Leer más

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  • Spline Collocation Methods for Partial Differential Equations

    With Applications in R

    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 ... Leer más

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  • Method of Lines PDE Analysis in Biomedical Science and Engineering

    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 ... Leer más

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  • Spatiotemporal Modeling of Stem Cell Differentiation

    Partial Differentiation Equation Analysis in R

    Spatiotemporal Modeling of Stem Cell Differentiation: Partial Differentiation Equation Analysis in R covers topics surrounding how stem cells evolve into specialized cells during tissue formation and in diseased tissue regeneration. As the process of stem cell differentiation occurs in space and time, the mathematical modeling of spatiotemporal development is expressed in this book as systems of ... Leer más

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

    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 ... Leer más

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  • ODE/PDE Analysis of Antibiotic/Antimicrobial Resistance

    Programming in R

    ODE/PDE Analysis of Antibiotic/Antimicrobial Resistance: Programming in R presents mathematical models for antibiotic/antimicrobial resistance based on ordinary and partial differential equations (ODE/PDEs). Sections cover the basic ODE model, the detailed PDE model that gives the spatiotemporal distribution of four dependent variable components, including susceptible bacteria population density, ... Leer más

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  • PDE Modeling of Tissue Engineering and Regenerative Medicine

    Computer Analysis in R

    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 ... Leer más

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

    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 ... Leer más

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  • Differential Equation Analysis in Biomedical Science and Engineering

    Ordinary Differential Equation Applications with R

    Features a solid foundation of mathematical and computational tools to formulate and solve real-world ODE problems across various fieldsWith a step-by-step approach to solving ordinary differential equations (ODEs), Differential Equation Analysis in Biomedical Science and Engineering: Ordinary Differential Equation Applications with R successfully applies computational techniques for solving real ... Leer más

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

    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 ... Leer más

    $70.99 USD

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

    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 ... Leer más

    $35.99 USD