ODE/PDE Analysis of Multiple Myeloma : Programming in R
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| Titel: | ODE/PDE Analysis of Multiple Myeloma : Programming in R |
|---|---|
| Beschreibung: | Multiple myeloma is a form of bone cancer. Specifically, it is a cancer of the plasma cells found in bone marrow (bone soft tissue). Normal plasma cells are an important part of the immune system.Mathematical models for multiple myeloma based on ordinary and partial differential equations (ODE/PDEs) are presented in this book, 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 dependent variable components in the bone marrow and peripheral blood: (1) protein produced by multiple myeloma cells, termed the M protein, (2) cytotoxic T lymphocytes (CTLs), (3) natural killer (NK) cells, and (4) regulatory T cells (Tregs).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 using the R routines that are available through a download. The PDE analysis is based on the method of lines (MOL), an established general algorithm for PDEs, implemented with finite differences. |
| Autoren: | William Schiesser |
| Resource Type: | eBook. |
| Schlagworte: | R (Computer program language), Multiple myeloma, Multiple myeloma--Mathematical models, Numerical analysis--Computer programs, Mathematical models |
| Categories: | MATHEMATICS / Applied, MEDICAL / Biotechnology, TECHNOLOGY & ENGINEERING / Biomedical |
| Datenbank: | eBook Index |
| FullText | Text: Availability: 0 |
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| Header | DbId: edsebk DbLabel: eBook Index An: 2493421 RelevancyScore: 950 AccessLevel: 6 PubType: eBook PubTypeId: ebook PreciseRelevancyScore: 949.708740234375 |
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| Items | – Name: Title Label: Title Group: Ti Data: ODE/PDE Analysis of Multiple Myeloma : Programming in R – Name: Abstract Label: Description Group: Ab Data: Multiple myeloma is a form of bone cancer. Specifically, it is a cancer of the plasma cells found in bone marrow (bone soft tissue). Normal plasma cells are an important part of the immune system.Mathematical models for multiple myeloma based on ordinary and partial differential equations (ODE/PDEs) are presented in this book, 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 dependent variable components in the bone marrow and peripheral blood: (1) protein produced by multiple myeloma cells, termed the M protein, (2) cytotoxic T lymphocytes (CTLs), (3) natural killer (NK) cells, and (4) regulatory T cells (Tregs).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 using the R routines that are available through a download. The PDE analysis is based on the method of lines (MOL), an established general algorithm for PDEs, implemented with finite differences. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22William+Schiesser%22">William Schiesser</searchLink> – Name: TypePub Label: Resource Type Group: TypPub Data: eBook. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22R+%28Computer+program+language%29%22">R (Computer program language)</searchLink><br /><searchLink fieldCode="DE" term="%22Multiple+myeloma%22">Multiple myeloma</searchLink><br /><searchLink fieldCode="DE" term="%22Multiple+myeloma--Mathematical+models%22">Multiple myeloma--Mathematical models</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis--Computer+programs%22">Numerical analysis--Computer programs</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models%22">Mathematical models</searchLink> – Name: SubjectBISAC Label: Categories Group: Su Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Applied%22">MATHEMATICS / Applied</searchLink><br /><searchLink fieldCode="ZK" term="%22MEDICAL+%2F+Biotechnology%22">MEDICAL / Biotechnology</searchLink><br /><searchLink fieldCode="ZK" term="%22TECHNOLOGY+%26+ENGINEERING+%2F+Biomedical%22">TECHNOLOGY & ENGINEERING / Biomedical</searchLink> |
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| RecordInfo | BibRecord: BibEntity: Classifications: – Code: 616.99418 Scheme: ddc Type: prePub Languages: – Code: eng Text: English Subjects: – SubjectFull: R (Computer program language) Type: general – SubjectFull: Multiple myeloma Type: general – SubjectFull: Multiple myeloma--Mathematical models Type: general – SubjectFull: Numerical analysis--Computer programs Type: general – SubjectFull: Mathematical models Type: general Titles: – TitleFull: ODE/PDE Analysis of Multiple Myeloma : Programming in R Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: William Schiesser – PersonEntity: Name: NameFull: William Schiesser IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2020 – D: 23 M: 03 Type: profile Y: 2022 Identifiers: – Type: isbn-print Value: 9780367471354 – Type: isbn-print Value: 9780367495510 – Type: isbn-electronic Value: 9781000057232 – Type: isbn-electronic Value: 9781000057270 – Type: isbn-electronic Value: 9780367473549 Titles: – TitleFull: ODE/PDE Analysis of Multiple Myeloma : Programming in R Type: main |
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