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ENG BE 200: Introduction to Probability
Undergraduate Prerequisites: ENG EK 125 and CAS MA 225.
An introductory course designed for sophomore engineering students that introduces the fundamentals of probability and statistics without the use of transforms. Coverage includes descriptive statistics, basics of probability theory, multiple random variables, expectation, Markov chains, and statistical testing. Computer simulations of probabilistic systems are included. Examples are taken from engineering systems. This course cannot be taken for credit in addition to ENG EC 381. 2.0 cr
ENG BE 209: Principles of Molecular Cell Biology and Biotechnology
Undergraduate Prerequisites: high school biology and one semester of college chemistry
Introduction to the molecular, physical and computational principles of cell function in the context of cutting-edge applications in bioengineering and medicine. Biological concepts include: molecular building blocks, energetics, transport, metabolism, nucleic acids, gene expression and genetics. Applications include bioenergy, synthetic biology, the human genome project, and gene circuit engineering. Labs will teach fundamental techniques of molecular biology including a multi-week module where students build and quantify bacterial gene expression system. Labs emphasize the experimental, problem solving, and analytical skills required in modern engineering and research. 4.0 cr
ENG BE 401: Signals and Systems in Biomedical Engineering
Undergraduate Prerequisites: CAS MA 226 ; ENG EK 307 ; ENG EK 381; junior standing in biomedical engineering.
Signals and systems with an emphasis on biomedical problems, including linear time invariant systems, Laplace and Fourier representations, transfer functions, pole-zero analysis, and convolution. Introduction to filtering, modulation, windowing, and sampling. Cannot be taken for credit in addition to ENG SC 401. 4 cr
ENG BE 402: Control Systems in Biomedical Engineering
Undergraduate Prerequisites: ENG BE 401.
Mathematical analysis of dynamic and linear feedback control systems. Emphasis on application to physiological systems, physiological transport, pharmacokinetics, glucose/insulin control, and respiratory control. Performance criteria. Root locus, Nyquist, and other stability criteria. State space analysis with state variable feedback control. Design and compensation. Cannot be taken for credit in addition to ENG EC402. 4 cr
ENG BE 419: Principles of Continuum Mechanics and Transport
Undergraduate Prerequisites: ENG EK 301 and CAS MA 226; ENG EK 102/CAS MA 142/CAS MA 242
This is an introductory course that presents the subjects of solid mechanics, fluid mechanics and transport phenomena in a unified form using the conservation principles (laws of physics) and the mathematical framework of vectors, tensors and matrices. The basic concepts of strain, stress, conservation of mass, momenta and energy, constitutive laws, and applications to solid mechanics, fluid mechanics, diffusion processes and heat transfer will be presented. Illustrative examples from engineering and applied sciences will be provided with each topic. The course will prepare students for advanced courses in traditional fields (elasticity, fluid mechanics, viscoelasticity, poroelasticity, rheology, transport phenomena) as well as emerging fields (nanotechnology, biotechnology, computational mechanics). 4 cr
ENG BE 420: Introduction to Solid Biomechanics
Undergraduate Prerequisites: ENG EK 301 ; ENG EK 102 ; CAS MA 226.
Many vital physiological functions including locomotion, respiration, circulation, and mechanotransduction are mechanical in nature and are linked to forces and deformation. Mechanics is also critical for development of medical devices and instruments. The main goal of this course is to acquaint students with concepts of stress, strain, constitutive laws and their applications to biomechanics of cells and tissues. The focus will be on theoretical developments. The first part of the course is focused on problems of mechanics of deformable solids including extension, bending, buckling and torsion of beams, as well as the concept of cellular tensegrity. The second, and the greater part of the course is focused on the basic concepts of the theory of elasticity. Topics include: vector and tensor algebra and calculus, kinematics of deformation, stress analysis, constitutive equations. In addition to the linear (Hookean) elasticity, non-linear elasticity is also presented to describe mechanical behavior of biological tissues and cells. The last chapter is devoted to basic concepts of linear viscoelasticity, including stress relaxation, creep and hysteresis. Illustrative examples from tissue and cell biomechanics will be given where appropriate. The course will prepare students for advanced courses in traditional fields of solid mechanics (elasticity, plasticity, viscoelasticity, poroelasticity), finite element analysis, as well as emerging fields (mechanobiology, computational mechanics, nanotechnology, biotechnology). Design elements will be included in projects. 4 cr
ENG BE 428: Device Diagnostics and Design
Undergraduate Prerequisites: ENG EK 210; Junior standing
BE 428 is a project-based course developing fundamentals of the design aspects of biomedical devices and diagnostics. Students will identify design needs, evaluate possible solutions, build prototypes and analyze failure modes and their effects. At every stage of the design process, they will present to the rest of the class to obtain feedback on their designs. The course is designed for undergraduates in their Sophomore and Junior years and satisfies a course elective requirement for the Technology Innovation concentration. Case studies of biomedical device designs and hands-on prototyping sessions are used extensively throughout the course. These, as well as guest lectures and discussion sections, are designed to encourage students to consider the broader social contexts of engineering and design. Basic theory, homeworks, and brainstorming sessions will be applied towards problem identification, materials selection, and failure mode evaluation.Topics include: needs identification; materials classes; materials selection for medical devices and diagnostics; failure analysis; biocompatibility; regulatory requirements as they pertain to design, manufacturing and marketing; technology assessment strategies; and engineering ethics. Several case studies of successful and unsuccessful biomedical device design are introduced and discussed throughout the course. 4 cr
ENG BE 435: Transport Phenomena in Living Systems
Undergraduate Prerequisites: CAS MA 226 and CAS PY 211.
Biological systems operate at multiple length scales and all scales depend on internal and external transport of molecules, ions, fluids and heat. This course is designed to introduce the fundamentals of biological transport and to apply these fundamentals in understanding physiological processes involving fluid, mass and heat transfer. Students will learn the fundamental conservation principles and constitutive laws that govern heat, mass and momentum transport processes and systems as well as the constitutive properties that are encountered in typical biological problems. Transport is also critical to the development and proper functioning of biological and medical instruments and devices, which will also be discussed. Biomedical examples will include applications in development of the heart-lung machine, estimation of time of death in postmortem cases, burn injuries through hot water, respiratory flow in smokers lungs, etc. 4 cr
ENG BE 436: Fundamentals of Fluid Mechanics
Undergraduate Prerequisites: CAS MA 226 and ENG EK 301.
Fluid mechanics is a discipline that studies motion of gasses and liquids and forces that act on them. A sub discipline of fluid mechanics is biofluid mechanics which is the study of a certain class of biological problems from a fluid mechanics point of view. For example, it helps us to understand blood flow within the cardiovascular system, airflow within the airways of lungs, removal of waste products via the kidneys and urinary system and operation of artificial pumps and microfluidic devices. In this course, the focus will be on the theoretical developments and basic foundations of fluid mechanics using the mathematical framework of vectors and tensors. Topics include: conservation of mass, momentum, and energy in static and moving fluids; constitutive relations for Newtonian and non- Newtonian fluids; viscous flows, with application to microfluidics, flow in porous materials, lubrication, and other areas of biomedical interest; scaling analysis; inertial effects, including boundary layers and unsteady flows. The course will prepare students for advanced courses in fluid mechanics (boundary layer theory, turbulent flow, non-Newtonian fluids, aerodynamics), as well as emerging fields (computational fluid mechanics, microfluidics). 4 cr
ENG BE 437: Nanometer Scale Processes in Living Systems
Undergraduate Prerequisites: CAS MA 226 and CAS PY 211; CAS CH101 or CAS CH131, ENG BE200 or ENG EC381 or ENG ME366
The world at the nanometer-scale is full of dynamic phenomena that are vastly different than those encountered at the macro scale. Biological processes that are of particular contemporary interest, such as cell differentiation, are stimulated by the activity and interaction of biomolecules at the nanoscale. Thus, an understanding of the physics and engineering in such systems is a vital component toward overcoming an immense array of challenging problems in the biological and medical sciences. This course focuses on a conceptual and mechanistic understanding of technologies that permit the study of events at the nanometer scale, including scanning probe microscopes (including AFM) and optical methods such as fluorescence microscopy and related techniques (including single particle tracking, and microrheology).. 4 cr
ENG BE 451: Directed Study in Biomedical Engineering
Individual study of a topic in biomedical engineering not covered in a regularly scheduled course. A faculty member must agree to supervise the study before registration. Term paper and/or written examination. Variable cr.
ENG BE 465: Biomedical Engineering Senior Project
Undergraduate Prerequisites: ENG BE 403 and ENG BE 491; Limited to biomedical engineering majors with senior standing. ENG BE467 must be taken concurrently.
Selection of project and project supervisor must be approved by course instructor. Project is in an area of biomedical engineering, such as biomedical instrumentation, biosensors, tissue engineering, biological signal processing, biological modeling and simulation, clinical imaging or informational systems, etc.Projects will be conducted by teams of two or three students, and projects must include significant design experience. Research of background, planning and initial work on senior design project. Guidance in performing and presenting (in written and oral form) a technical project proposal. Skills in proposal writing, oral presentation techniques. Formal proposal must be approved by technical advisor. 2 cr
ENG BE 466: Biomedical Engineering Senior Project
Undergraduate Prerequisites: ENG BE 465; Limited to biomedical engineering majors with senior standing.
Completion of project in an area of biomedical engineering. Expanded training in technical project presentation techniques. Includes writing of progress reports, abstracts, final reports. Course culminates with an oral presentation at annual Senior Project Conference. Written final report must be approved by the faculty. 4 cr
ENG BE 467: Product Design and Innovation in Biomedical Engineering
Undergraduate Prerequisites: Limited to biomedical engineering majors with senior standing.
This course teaches students the basic project skills, regulatory principles and best practices for developing a commercial medical device. Lectures and case studies are augmented by real world examples combining both an academic and industrial perspective. Subject matter includes problem identification, product conceptualization, and design, and intellectual property, and formal development including design controls, risk management, FDA regulatory requirements and clinical trials. Student teams will apply their acquired course knowledge and their engineering skills to design and develop a conceptual medical device. This is a required co-requisite to BE465 in the fall for BME Seniors. 2 cr
ENG BE 491: Biomedical Measurements I
Laboratory course designed to accomplish four goals: 1) Develop skills for collecting and analyzing biomedical measurements, 2) Learn proper usage of electronic equipment including oscilloscope, function generator, DAQ, 3) Improve oral and written scientific communication skills through lab reports and class term project presentations, and 4) reinforce concepts presented in BE401, including Fourier Analysis, sampling theory, and filtering, with hand-on experiments. 2 cr
ENG BE 492: Biomedical Measurements II
Undergraduate Prerequisites: ENG BE 491.
Laboratory course designed to develop basic instrumentation and analysis skills for physiological and biological measurements. Emphasis will be placed on techniques involving light (spectroscopy and microscopy) and sound (ultrasound). Labs will be focused on data acquisition. Written lab reports will involve quantitative data analysis and interpretation. 2 cr
ENG BE 500: Special Topics in Biomedical Engineering
Undergraduate Prerequisites: engineering graduate student standing or permission of instructor.
Graduate Prerequisites: Engineering graduate student standing. Others by permission of instructor. Specific prerequisites vary according to topic.
Coverage of a specific topic in biomedical engineering. One topic covered in depth each semester offered. Subject matter varies from year to year. 4 cr
ENG BE 503: Numerical Methods and Modeling in Biomedical Engineering
This course offers an advanced introduction to numerical methods for solving linear and nonlinear differential equations including ordinary differential equations and partial differential equations. Topics include numerical series, error analysis, interpolation, numerical integration and differentiation, Euler & Runge-Kutta methods, finite difference methods, finite element methods, and moving boundary problems. This course requires knowledge of multivariable calculus, linear algebra, and differential equations. Some knowledge in one computer programming language, such as MATLAB, is required. 4.0 cr
ENG BE 504: Polymers and Soft Materials
Undergraduate Prerequisites: CAS PY 410 or ENG EK 424.
An introduction to soft matter for students with background in materials science, chemistry and physics. This course covers general aspects of structure, properties, and performance polymers, polymer solutions and gels. Emphasis is on chain behavior, local chemical interactions and mechanical behavior across multiple size scales. Topics include methods and kinetics of material synthesis, formation assembly, and phase behavior; models of polymer mechanical behavior; techniques for characterizing the structure, phase and dynamics of soft materials; application of soft materials in biotechnology and nanotechnology. Meets with ENG ME 504, ENG MS 504 and PY 744; students may not receive credit for both. 4 cr
ENG BE 505: Molecular Bioengineering I
Undergraduate Prerequisites: ENG EK424 or equivalent.
Provides engineering perspectives on the building blocks of living cells and materials for biotechnology. Focuses on origins and synthesis in life and the laboratory, including biological pathways for sythesis of DNA, RNA and proteins; transduction, transmission, storage and retrieval of biological informatin by macromoleclues; polyerase chain reaction, restriction enzymes, DNA sequencing; energetics of protein folding and trafficking; mechanisms of enzymatic catalysts and receptor-ligand binding; cooperative proteins, multi-protein complexes and control of metabolic pathways; generation, storage, transmission and release of biomolecular energy; and methods for study and manipulation of molecules which will include isolation, purification, detection, chemical characterization, imaging and visualization of structure. 4 cr