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Course Criteria
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4.00 Credits
Vicini Fundamentals of mathematical modeling in medicine and biology, Introduction to compartmental models: a priori, a priori identifiability. Data measurement error, parameter estimation. Maximum likelihood, least squares. Introduction to tracer-tracee models, pharmacokinetics, pharmacodynamics. Models to test hypotheses. Hands-on computer experience. Offered: even years; A.
Prerequisite:
ordinary differential equations, introductory statistics, or permission of instructor
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3.00 Credits
Bassingthwaighte, Graham Introduction to mathematical modeling of biological phenomena. Tutorial text explains how to derive equations for simple models and apply them to generate simulation data. Application topics include kinetics of biomolecular reactions and enzyme saturation, membrane transport, organismal predation, competition and growth, compartmental and spatially distributed models, physiological control systems, probabilistic models. Offered: even years; A.
Prerequisite:
P BIO 405 and P BIO 406 or equivalent or permission of instructor
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3.00 Credits
Bassingthwaighte Introduction to fractal and chaos. Conceptual approaches to using fractals for characterizing structures and growth processes, describing heterogeneities, and evaluating properties of tissues. The behavior of non-linear systems, often chaotic, describes physiological homeodynamics, regulation without set points in feedback control. .
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3.00 Credits
Bassingthwaighte Review of basic mechanisms of transport; transport through vascular system and bloodtissue exchange processes in organs; integrated system analysis of closed systems and applications to physiological regulation, medical imaging, and pharmacokinetics. Offered: Sp.
Prerequisite:
calculus, introduction to differential equations; cardiovascular physiology; E E network analysis or systems analysis, chemical engineering transport
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3.00 Credits
Pollack Mechanical properties of biological tissues, with emphasis on the underlying histological bases. Bones, joints, cartilage, blood vessels, connective tissue, muscle, heart. Many laboratory sessions. Offered: odd years; W.
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4.00 Credits
Vaezy Fundamentals of ultrasonic generation, formation, reception, and treatment of absorption, scattering, and transmission. Conventional and new methodology. (A, B, T-M mode, imaging, Doppler, tissue characterization, and nonlinear effects.) Offered: odd years; Sp.
Prerequisite:
E E/M E 525 for nonbioengineering students or permission of instructor
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4.00 Credits
Advanced theories of optical and spectroscopic measurement with emphasis on biomedical laser applications. Laser principles, instrumentation, and current practice in various biomedical uses, covering such areas as medicine, surgery, and biology. Offered: even years; Sp.
Prerequisite:
BIOEN 302 or equivalent, or permission of instructor
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2.00 Credits
Basic physics of nuclear magnetic resonance (NMR) imaging and spectroscopy are presented. Research applications of NMR in physiology and biochemistry are reviewed with emphasis on the brain. Grade based on written tests and small research paper. Offered: jointly with RADGY 550; odd years; W.
Prerequisite:
permission of instructor
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4.00 Credits
Kim Components of digital processing computer systems. Two-dimensional filtering and optimal filter design as well as basic image-processing operations. Selected advanced image-processing topics introduced. Individual student project. Offered: jointly with E E 568; Sp.
Prerequisite:
permission of instructor
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3.00 Credits
Ratner Relationships between configuration, conformation, molecular order, microstructure, properties of polymeric materials. Concepts relevant to tailoring polymer molecules and microstructures for specific applications. Interactions between polymers and their in-service environment. Characterization and processing techniques relevant to polymeric materials. Offered: jointly with MSE 571.
Prerequisite:
one semester or two quarters of organic chemistry
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