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  • Method Of Lines Analysis Of Turing Models

    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 ... 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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  • Modeling of Post-Myocardial Infarction

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    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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  • PDE Modeling of Tissue Engineering and Regenerative Medicine

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    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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  • Virus Host Cell Genetic Material Transport

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  • ODE/PDE Analysis of Antibiotic/Antimicrobial Resistance

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

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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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  • Numerical PDE Analysis of Retinal Neovascularization

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  • Dynamic Modeling of Transport Process Systems

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  • Spline Collocation Methods for Partial Differential Equations

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

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