e-book An Introduction to Mathematics of Emerging Biomedical Imaging

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Biosensors are defined as the use of biospecific recognition mechanisms in the detection of analyte concentration. The basic principles of protein binding with specific reference to enzyme-substrate, lectin-sugar, antibody-antigen, and receptor-transmitting binding. Simple surface diffusion and absorption physics at surfaces with particular attention paid to surface binding phenomena. Optical, electrochemical, gravimetric, and thermal transduction mechanisms which form the basis of the sensor design.

Prerequisites: Biomedical Engineering L L or equivalent and consent of instructor. Instructor: Reichert or Vo-Dinh. Structure of biological macromolecules, recombinant DNA techniques, principles of and techniques to study protein structure-function. Discussion of biomolecular design and engineering from the research literature.

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Linked laboratory assignments to alter protein structure at the genetic level. Expression, purification, and ligand-binding studies of protein function. Instructor: Chilkoti. Modeling and Engineering Gene Circuits. This course discusses modeling and engineering gene circuits, such as prokaryotic gene expression, cell signaling dynamics, cell-cell communication, pattern formation, stochastic dynamics in cellular networks and its control by feedback or feedforward regulation, and cellular information processing.

The theme is the application of modeling to explore "design principles" of cellular networks, and strategies to engineer such networks.


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  • Mathematics and Physics of Emerging Biomedical Imaging | The National Academies Press?

Students need to define an appropriate modeling project. At the end of the course, they're required to write up their results and interpretation in a research-paper style report and give an oral presentation. Prerequisites: Biomedical Engineering L L or consent of instructor. Instructor: You. Introduction to drug delivery in solid tumors and normal organs for example, reproductive organs, kidney, skin, eyes. Emphasis on quantitative analysis of drug transport.

Specific topics include: physiologically-based pharmacokinetic analysis, microcirculation, network analysis of oxygen transport, transvascular transport, interstitial transport, transport across cell membrane, specific issues in the delivery of cells and genes, drug delivery systems, and targeted drug delivery.

Prerequisite: Biomedical Engineering and Engineering L Instructor: Yuan. This course will serve as an overview of selected topics and problems in the emerging field of tissue engineering. General topics include cell sourcing and maintenance of differentiated state, culture scaffolds, cell-biomaterials interactions, bioreactor design, and surgical implantation considerations. Specific tissue types to be reviewed include cartilage, skin equivalents, blood vessels, myocardium and heart valves, and bioartificial livers.

Prerequisites: Mathmetics or consent of instructor. Instructor: Bursac. Seminars in Medical Physics. Medical physics is the application of the concepts and methods of physics and engineering to the diagnosis and treatment of human disease. This course consists of weekly lectures covering broad topics in medical physics including diagnostic imaging, radiation oncology, radiation safety, and nuclear medicine.

Lectures will be given by invited speakers drawn from many university and medical center departments including Biomedical Engineering, radiology, physics, radiation safety, and radiation oncology. Prerequisites: background in engineering or physics. Instructor: Lo and Samei. Principles of Research Management. A survey of topics in modern research management techniques that will cover proven successful principles and their application in the areas of research lab organization, resource management, organization of technical projects, team leadership, financial accountability, and professional ethics.

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Invention to Application: Healthcare Research Commercialization. Interdisciplinary teams of students from engineering, medical science, business, and medicine work together to understand and evaluate the commercial potential of Duke faculty research innovations and develop a comprehensive research translation and business plan for one chosen opportunity.

Learning includes understanding technology, product development, marketing, finance, regulatory requirements, and reimbursement.


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In addition to weekly lectures, students are mentored in this real world experience by a team including technology transfer experts, venture capitalists, researchers, physicians, and entrepreneurs. Prerequisites: none. Instructor: Myers. Viscoelasticity of hard and soft tissue solids and composite structures.

Linear and nonlinear one-dimensional viscoelastic behavior, internal damping, and three-dimensional viscoelasticity. Approximation techniques for determination of viscoelastic constitutive equations from experimental data. Mathematical formulations for the characterization of the dynamic behavior of biologic structures. Advanced Ultrasonic Imaging. This course provides students with a mathematical basis of ultrasonic imaging methods.

Topics include K-space, descriptions of ultrasonic imaging, ultrasonic beam-former design, tissue motion and blood flow imaging methods, and novel ultrasonic imaging methods. Students conduct extensive simulations of ultrasonic imaging methods. About this book Biomedical imaging is a fascinating research area to applied mathematicians.

Show all. Table of contents 11 chapters Table of contents 11 chapters Biomedical Imaging Modalities Pages Preliminaries Pages Layer Potential Techniques Pages Tomographic Imaging with Diffracting Sources Pages Biomagnetic Source Imaging Pages Small Volume Expansions Pages Imaging Techniques Pages Impediography Pages Magnetic Resonance Elastography Pages Show next xx. Home , ' an introduction to mathematics of emerging biomedical ': ' A right whole with this nothing price massively is.

Medical imaging

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