Read ODE/PDE Analysis of Multiple Myeloma: Programming in R

ODE/PDE Analysis of Multiple Myeloma: Programming in R

William Edward Schiesser

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Description:The intent of this book is to present a methodology for the formulation and computer implementation of mathematical models for multiple myeloma, a form of bone cancer. The models are stated as systems of ordinary and partial differential equations (ODE/PDEs). The ODE/PDE methodology is presented through a series of examples, starting with a basic ODE model in Chapter 1, and concluding with a detailed ODE/PDE model in Chapter 4 that gives the spatiotemporal distribution of four components in the bone marrow and peripheral blood. The computer-based implementation of the example models is presented through routines coded (programmed) in R, a quality, open-source scientific computing system that is readily available from the Internet. Formal mathematics is minimized, e.g., no theorems and proofs. Rather, the presentation is through detailed examples that the reader/researcher/analyst can execute on modest computers. The PDE analysis is based on the method of lines (MOL), an established general algorithm for PDEs, implemented with finite differences. The routines are available from a download link so that the example models can be executed without having to first study numerical methods and computer coding. The routines can then be applied to variations and extensions of the multiple myeloma models, such as changes in the ODE/PDE parameters (constants) and form of the model equations.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with ODE/PDE Analysis of Multiple Myeloma: Programming in R. To get started finding ODE/PDE Analysis of Multiple Myeloma: Programming in R, you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 0367471353

Description: The intent of this book is to present a methodology for the formulation and computer implementation of mathematical models for multiple myeloma, a form of bone cancer. The models are stated as systems of ordinary and partial differential equations (ODE/PDEs). The ODE/PDE methodology is presented through a series of examples, starting with a basic ODE model in Chapter 1, and concluding with a detailed ODE/PDE model in Chapter 4 that gives the spatiotemporal distribution of four components in the bone marrow and peripheral blood. The computer-based implementation of the example models is presented through routines coded (programmed) in R, a quality, open-source scientific computing system that is readily available from the Internet. Formal mathematics is minimized, e.g., no theorems and proofs. Rather, the presentation is through detailed examples that the reader/researcher/analyst can execute on modest computers. The PDE analysis is based on the method of lines (MOL), an established general algorithm for PDEs, implemented with finite differences. The routines are available from a download link so that the example models can be executed without having to first study numerical methods and computer coding. The routines can then be applied to variations and extensions of the multiple myeloma models, such as changes in the ODE/PDE parameters (constants) and form of the model equations.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with ODE/PDE Analysis of Multiple Myeloma: Programming in R. To get started finding ODE/PDE Analysis of Multiple Myeloma: Programming in R, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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ODE/PDE Analysis of Multiple Myeloma: Programming in R

ODE/PDE Analysis of Multiple Myeloma: Programming in R

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