Dynamical models in medicine. (2014)

• Record Type: Book
• Further Information: Note: By Yang Kuang, John Nagy.
• Authors: Kuang, Yang, 1965-; Nagy, John D
• Contents: Introduction to Theory in Medicine; Introduction; Disease; A brief survey of trends in health and disease; The scientific basis of medicine; Aspects of the medical art; Key scientific concepts in mathematical medicine; Pathology—where science and art meet Introduction to Cancer Modeling ; Introduction to cancer dynamics; Historical roots; Applications of Gompertz and von Bertalanffy models; A more general approach; Mechanistic insights from simple tumor models; Sequencing of chemotherapeutic and surgical treatments; Stability of steady states for ODEs; Exercises; Projects and open questions Spatially Structured Tumor Growth ; Introduction; The simplest spatially structured tumor model; Spheroid dynamics and equilibrium size; Greenspan's seminal model; Testing Greenspan's model; Sharratt–Chaplain model for avascular tumor growth; A model of in vitro glioblastoma growth; Derivation of one dimensional balance equation; Exercises; Projects Physiologically Structured Tumor Growth ; Introduction; Construction of the cell-size structured model; No quiescence, some intuition; Basic behavior of the model; Exercises Prostate Cancer: PSA, AR, and ADT Dynamics ; Introduction; Models of PSA kinetics; Dynamical models; Androgens and the evolution of prostate cancer; Prostate growth mediated by androgens; Evolution and selection for elevated AR expression; Jackson ADT model; The Ideta et al. ADT model; Predictions and limitations of current ADT models; An immunotherapy model for advanced prostate cancer; Other prostate models; Exercises; Projects Resource Competition and Cell Quota in Cancer Models ; Introduction; A cell-quota based population growth model; From Droop cell-quota model to logistic equation; Cell-quota models for prostate cancer hormone treatment; Other cell-quota models for prostate cancer hormone treatment; Stoichiometry and competition in cancer; Mathematical analysis of a simplified KNE model; Exercises; Projects Natural History of Clinical Cancer ; Introduction; Conceptual models for the natural history of breast cancer: Halsted vs. Fisher; A simple model for breast cancer growth kinetics; Metastatic spread and distant recurrence; Tumor dormancy hypothesis; The hormonal environment and cancer progression; The natural history of breast cancer and screening protocols; Cancer progression and incidence curves; Exercises Evolutionary Ecology of Cancer ; Introduction; Necrosis: What causes the tumor ecosystem to collapse?; What causes cell diversity within malignant neoplasia?; Synthesis: Competition, natural selection and necrosis; Necrosis and the evolutionary dynamics of metastatic disease; Conclusion; Exercises Models of Chemotherapy ; Dose-response curves in chemotherapy; Models for in vitro drug uptake and cytotoxicity; Pharmacokinetics; The Norton-Simon hypothesis and the Gompertz model; Modeling the development of drug resistance; Heterogeneous populations: the cell cycle; Drug transport and the spatial tumor environment; Exercises Major Anti-Cancer Chemotherapies ; Introduction; Alkylating and alkalating-like agents; Anti-tumor antibiotics; Anti-metabolites; Mitotic inhibitors; Non-cytotoxic and targeted therapies Radiation Therapy ; Introduction; Molecular mechanisms; Classical target-hit theory; Lethal DNA misrepair; Saturable and enzymatic repair; Kinetics of damage repair; The LQ model and dose fractionation; Applications Chemical Kinetics ; Introduction and the law of mass action; Enzyme kinetics; Quasi-steady-state approximation; Enzyme inhibition; Hemoglobin and the Hill equation; Monod–Wyman–Changeux model Epilogue: Toward a Quantitative Theory of Oncology References appear at the end of each chapter.
• Edition: 1st
• Publisher Details: London : Chapman & Hall
• Publication Date: 2014
• Extent: 1 online resource, illustrations (black and white)
• Subjects: 610.15118; Medicine -- Mathematical models; Medicine -- Data processing
• Languages: English
• ISBNs: 9781584889915
• Notes: Note: Description based on CIP data; resource not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.