| Description |
1 online resource |
| Contents |
Front Cover -- Spatiotemporal Modeling of Stem Cell Differentiation -- Spatiotemporal Modeling of Stem Cell Differentiation: Partial Differentiation Equation Analysis in R -- Copyright -- Contents -- Preface -- REFERENCE -- 1 -- One PDE stem cell model -- 1. INTRODUCTION -- 1.1 One PDE model for stem cell density -- 1.2 Summary and conclusions -- REFERENCE -- 2 -- Implementation of the One PDE model -- 2. INTRODUCTION -- 2.1 Coding of one PDE model -- 2.1.1 Main program -- 2.1.2 ODE/MOL routine -- 2.1.3 Numerical, graphical output -- 2.2 Summary and conclusions -- REFERENCES -- 3 -- Six PDE model for stem cell differentiation -- 3. INTRODUCTION -- 3.1 Six PDE model -- 3.2 Summary and conclusions -- REFERENCE -- 4 -- Implementation of the Six PDE model -- 4. INTRODUCTION -- 4.1 Coding of six PDE model -- 4.1.1 Main program -- 4.1.2 ODE/MOL routine -- 4.1.3 Numerical, graphical output -- 4.2 Summary and conclusions -- REFERENCES -- 5 -- Variations of the six PDE model -- 5. INTRODUCTION -- 5.1 Six PDE model with probabilistic component -- 5.1.1 Main program -- 5.1.2 ODE/MOL routine -- 5.1.3 Numerical, graphical output -- 5.2 Six PDE model with time varying source of stem cells -- 5.2.1 Main program -- 5.2.2 ODE/MOL routine -- 5.2.3 Numerical, graphical output -- 5.3 Summary and conclusions -- REFERENCE -- Index -- A -- B -- C -- D -- E -- F -- I -- L -- M -- O -- P -- R -- S -- T -- Back Cover |
| Summary |
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 partial differential equations (PDEs). In addition, the book explores important feature of six PDE model which can represent, for example, the development of tissue in organs. In addition, the book covers the computer-based implementation of example models through routines coded (programmed) in R. The routines described in the book are available from a download link so that 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 stem differentiation models, such as changes in the PDE parameters (constants) and the form of the model equations |
| Notes |
<p>1. One PDE Stem Cell Model 2. Implementation of the One PDE Model 3. Six PDE Model for Stem Cell Differentiation 4. Implementation of the Six PDE Model 5. Detailed ODE/PDE Model Analysis</p> |
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Description based on CIP data; resource not viewed |
| Subject |
Stem cells.
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Cell differentiation -- Mathematical models
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Differential equations, Partial.
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Stem Cells
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Cell differentiation -- Mathematical models
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Differential equations, Partial
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Stem cells
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| Form |
Electronic book
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| ISBN |
9780323914130 |
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0323914136 |
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9780323907972 |
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0323907970 |
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