PhD-Bioengineering Curriculum Requirements & Course Information

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1 Curriculum Requirements: The following lists the specific requirements for the PhD degree. (tudents must be able to answer yes to the following statements to earn a PhD at CU.): Minimum of 72 semester credits of graduate work in approved course of study. Minimum of 2 semester credits earned after admission to CU. 10 credits earned after Master s degree may be transferred for credit with approval from the students major advisor, the chool of Biomedical, and the Graduate chool. Minimum of 12 semester credits in 500 level (and above) formally taught courses (not including dissertation and independent study) earned at CU (post Master s degree). Give a seminar on their research every other year. These seminar requirements are in addition to the dissertation requirements (as specified by the Graduate chool). The listed electives are a suggestion and not exclusive. It is strongly recommended, but at the advisor s discretion, that at least six credits of technical electives must be from within the cott College of and six credits must be from the Life ciences. uccessful completion of the Qualifying Process. uccessful completion of the Preliminary Exam. uccessful completion of the Dissertation Defense. The students will be actively involved and engaged with the development of cutting edge technologies in this research-based curriculum. As with most science and technology-related graduate programs, many of the career development tools will be derived from students attending and presenting at national and international meetings. Core Courses The following courses represent the core course requirements for the proposed graduate program. All PhD students are required to complete the core course requirements. However, given the students varied backgrounds prior to matriculating in the proposed program, it is anticipated that some of these courses will be formally waived. Course Number Title Credits Prerequisite(s) 1 MATH CLA MATH 50, 52, 55, 55, or 560 PhD-Bioengineering Curriculum Requirements & Course Information ee course catalog to view prerequisites. emesters Taught, ee course catalog for detailed descriptions.

2 BIOM/CIVE 5* Biomolecular Tools for Engineers BIOM/MECH 570 Bioengineering BM 00 or MIP 00 MECH 07 and MECH 2 BIOM 592 eminar 1 x sems., BIOM 799 Dissertation Var.,, ECE 51** 2 Modules**^ -OR- -OR- TAT 512** Technical Elective Courses Applications of Random Processes TAA 551, 552, 55, 55, 561, 562, 572, 57, 57, 575, or TAA 576 Design and Data Analysis for Researchers II TAT 511A or 511B *tudents with a strong background in Cellular and Molecular Biology may substitute CM502 (Techniques in Cell and Molecular Biology). **tudents must either take ECE 51, two TAA modules (of those listed), or TAT 512. *** TAA 552: TAA 551 or written consent of instructor TAA 562: TAA 561 or written consent of instructor TAA 572: TAA 551; TAA 561 or written consent of instructor TAA 57: TAA 551; TAA 561 or written consent of instructor ^ trongly encouraged to take. The following represent some of the courses currently available university-wide that could serve as acceptable courses outside of the core requirements. PhD students are strongly recommended to take six credits of engineering electives and six credits of life science electives (500 level or above) at the discretion of the Graduate Affairs Committee. The following course list is meant to illustrate the broad and diverse elective course offerings available to students enrolled. ECE 0/TAT 0; ECE 12 - with a minimum grade of C- Course Number Title Credits Prerequisite(s) 2 per module ***, Technical Electives (six credits minimum) emesters Taught Basic qualitative and quantitative biomolecular analyses of microbial communities, including PCR, cloning, IH, and microbial community profiling. The application of biomolecular tools to engineered systems will be a major theme. Introduction to the various fields within bioengineering, includes research lectures from expert guest lecturers and significant engineering content. tudent and research faculty presentations, guest and invited extramural speakers. Bit-error rates, signal-to-noise power ration, signal detection, signal estimation, Wiener filter, application. ee course catalog for detailed descriptions. tatistical methods for experimenters and researchers emphasizing design and analysis of experiments.

3 BIOM/CBE 50 undamentals of Biochemical BIOM 06/BTEC 06 or concurrent registration or CBE 20 or concurrent registration; MATH 255 or MATH 0; MIP 00 Application of chemical engineering principles to enzyme kinetics, fermentation and cell culture, product purification, and bioprocess design. BIOM/ECE 517 Advanced Optical Imaging ECE 2 or MATH 0 or MATH 5, E design principles of advanced optical imaging techniques and image formation theory. BIOM/ECE 518 Biophotonics ECE 2 or ECE 57 or MATH 0 or MATH 5, O design principles of optical instrumentation for medical diagnostics. Light propagation and imaging in biological tissues. BIOM/MECH 525 Cell and Tissue BC 51 or BM 00 or BM 500 or BZ 10 or NB 501, E Cell and tissue engineering concepts and techniques with emphasis on cellular response, cell adhesion kinetics, and tissue engineering design. BIOM/ECE 526 Biological Physics BIOM/MECH 51 BIOM/MECH 52 Materials Material Issues in Mechanical Design (Math 0 or MATH 5) and (PH 122 or PH 12) MECH 1 or MECH 1 MECH 1 Mathematical and physical modeling of biological systems. Mass transport in cellular environments. Electrical/mechanical properties of biomolecules. tructural engineering materials and their selection on basis of property, processing, and economic considerations. ailure mechanisms from materials viewpoint with emphasis on use in design. racture, creep, fatigue, and corrosion. BIOM/ECE 57 BIOM/MECH 57 BIOM/MECH 57 BIOM/MECH 578 CBE 501 CBE 502 Biomedical ignal Processing tructure and unction of Biomaterials Bio-Inspired urfaces Musculoskeletal Biosolid Mechanics Chemical Thermodynamics Advanced Reactor Design MATH 0 or ECE 11 or TAT 0 MECH 1 CHEM 111; MECH 2 CIVE 60 CBE 202 and MATH 0 CBE 20; CBE 22 Measuring, manipulating, and interpreting biomedical signals. tructure-function relationships of natural biomaterials; application to analysis of biometric materials and biomaterials used in medical devices. Analysis of surface functionalities of various biological species; identification of design principles. Application of engineering concepts to quantify the mechanical behavior of load-bearing biological tissues and orthopaedic implant performance. Definition, correlation, and estimation of thermodynamic properties; nonideal chemical and physical equilibria. complex kinetics, stability of reactors. Biochemical reactor examples.

4 CBE 570 Biomolecular /ynthetic Biology BCE 51; CHEM 1 or 5 CIVE 502 luid Mechanics CIVE 00 CIVE 560 CIVE 565 CIVE 662 CIVE 667 C 51 C 517 Advanced Mechanics of Materials inite Element Method oundations of olid Mechanics Advanced tructural Analysis oftware Product and Process Evaluation oftware pecification and Design ECE 50 Physical Optics ECE 506 ECE 51* ECE 520 Optical Interferometry and Laser Metrology Applications of Random Processes Optimization Methods-Control and Communication CIVE 60 MATH 0 CIVE 560 CIVE 566 C 1, O C 1, O ECE 1 and ECE 2 ECE 1 and ECE 2 and ECE 1 (ECE 0 or TAT 0) and ECE 12 - with a minimum grade of C- for all classes. MATH 229 and MATH 17 Rational design and evolutionary methods for engineering functional protein and nucleic acid systems. undamental physical concepts of fluid mechanics; ideal and viscous fluid flows; boundary-layer concepts. Analysis of stress and strain failure theory; selected topics in solid mechanics, plate analysis; introduction to elastic stability. Theory and application in elasticity, porous flow, heat conduction, and other engineering problems. Analysis of stress and strain in solids emphasizing linear elasticity and plasticity; introductions to creep, viscoelasticity, and finite deformations. Analysis program development, application of finite element analysis, computer-assisted analysis, introduction to nonlinear analysis. oftware development process modeling and evaluation; software metrics, testing, verification, validation; experimental methods in software engineering. Rigorous techniques for modeling, specifying, and analyzing software requirements and designs; reusable software development. Classical optics from first principles; basic electromagnetic theory to wave and geometric guides. High resolution metrology techniques utilizing and interferometric sensors using lasers and other light sources. Bit-error rates, signal-to-noise power ration, signal detection, signal estimation, Wiener filter, application. Linear and nonlinear optimization theory and methods; applications in systems, control, and communication. MECH/ECE 569 Micro-Electro- Mechanical Devices ECE 1 with grade of C- or better or MECH, E Micro-electro-mechanical processes and applications in sensors, optics, and structures.

5 ECE 652 MECH 502 MECH 52 Estimation and iltering Theory Advanced/Additive Manufacturing Principles of Mechanics (ECE 11 or ECE 12) and (ECE 51 or TAT 525) MECH 202; MECH 1, O MECH 2 undamental principles of short wavelength electromagnetic radiation. Materials, controls, and mechanics applied to additive manufacturing; rapid prototyping; direct digital manufacturing. Kinematics and dynamics of rigid body motion; Lagrangian and Hamiltonian formulations of mechanics; applications to engineering problems. MECH 50 Advanced Composite Materials CIVE 60 and MECH 7 Materials aspects of advanced composite constituents and how their combination yields synergistic results. *Cannot count as Technical Elective if student took or plan to take as core course. Course Number Title Credits Prerequisite(s) BC 512 Principles of Macromolecular tructure BC 56 Molecular Genetics BC 565 BC 665A BIOM/MECH 576 Molecular Regulation of Cell unction Adv Topics--Cell Regulation: Microscopic Methods Quantitative ystems Physiology Life cience Technical Electives (six credits minimum) 1 BC 11 may be concurrent registration LIE 201B and BC 01 LIE 210 and (BC 0 or BC 51 may be taken concurrently) emesters Taught 2 BC 565, BM 00 and CHEM 11 and MATH 0 and PH 12 Physical interactions controlling folding and solution behavior of biological macromolecules, including proteins, nucleic acids, and membranes. Mechanisms of replication, transcription, translation, & packaging of genetic material. Molecular regulations of cell organization, membrane formation, organelle biogenesis, cell communication, shape and motility, growth, aging, and death. Analysis of cell behavior, function and regulation. Quantitative, model-oriented approach to cellular and systems physiology with design examples from biomedical engineering. BM 500 Mammalian Physiology I BM 00 or BM 60 Membrane function and electrical activity of cells, neurophysiology, blood and immune, muscle physiology, and cellular endocrinology. BM 501 Mammalian Physiology II BM 00 or BM 60 BM 55 Neuroanatomy BM 575 Human Anatomy Dissection Cardiovascular, respiratory, renal, digestive, endocrine, metabolic, reproductive function. Nervous system structure and function from a systems perspective. Human cadaver dissection.

6 BM 619 Advanced Human Gross Anatomy CHEM 515 Polymer Chemistry CHEM 5 CHEM 55 CHEM 59 ERH 550 ERH 712 ERH 751 ERH 75 MIP 50 MIP 550 Chemical eparations ynthetic Organic Chemistry I ynthetic Organic Chemistry II Principles of Radiation Biology Physics of Diagnostic Imaging Advanced Radiation Biology I Advanced Radiation Biology II Advanced Molecular Virology Microbial and Molecular Genetics Laboratory 2 CHEM 6 and CHEM 76 CHEM 5 and CHEM 1, O, E CHEM 5 CHEM 55 5 BZ 10 and ( ERH 00 or ERH 50), O ERH 550, E ERH 550, O (BC 51 or BC 01) and (MIP 50 or BC 6) MIP 02 and MIP 2, E MIP 651 Immunobiology MIP 50, E Clinical application of human anatomy through case study. undamentals of polymer chemistry: synthesis, characterization, physical properties. undamentals and applications of chemical separations. Reactions and synthesis in organic chemistry. Modern synthetic methods. trategies for total synthesis of natural products. Dose-response relationships; physical, chemical, and biological modification of radiation damage; radiation oncology; radiation genetics and oncogenesis. Physics of imaging for radiology, ultrasounds, computerized tomography, magnetic resonance, and nuclear medicine. Molecular and cellular mechanisms of radiation damage and repair; mammalian radiation genetics. Perturbations in cell cycle and cell population growth kinetics by radiation; radiation effects on normal tissues; radiation oncogenesis. Animal virus structure, replication; viral latency, oncogenicity, and genetics. Comparative virology Use of both in vivo genetics and in vitro molecular techniques to study gene structure, function, and regulation in bacteria. tructure, function, regulation of immunoglobulins and the immune system. Cellular immunity including transplantation and cancer. CM/NB 502 Techniques in Neuroscience I 2 Current methods in molecular and cellular neurobiology.

7 NB 50 Developmental Neurobiology (BIO 100 to 81 - at least 1 course or BZ 100 to 81 - at least 1 course or LIE 100 to 81 - at least 1 course) and (BC 100 to 81 - at least 1 course and PH 100 to 81 - at least 1 course) and (MATH 11 or MATH 155 or MATH 160 to at least 1 course or MATH 255 or MATH 261) Molecular mechanisms involved in development of nervous system including differentiation, growth, pathfinding, and synaptogenesis. BM/NB 505 NB 750 V 660 Neuronal Circuits, ystems, and Behavior Physiology of Ion Channels Neurology and Neurosurgery BM 25 or BM 500 or NB BM 500, O Course Number Title Credits Prerequisite(s) BIOM 78 BIOM 795 GRAD 511 MATH 517 MATH 56 MATH 652 upervised College Teaching Independent tudy High Performance Computing and Visualization Introduction to Mathematical Analysis I Partial Differential Equations II inite Element Methods emesters Taught 1 to 2,, 1 to 2,, GRAD 510 MATH 17 and MATH 69 MATH 55 MATH 560 or MATH 55 or MATH 617 Other Technical Electives Anatomical and physiological organization of the nervous system. Physiological and structural analysis of membrane ion channels. Diagnostic and surgical techniques for the nervous system. Iterative methods for linear systems; Monte Carlo methods; visualization and image processing. Euclidean spaces, metric spaces, sequences, series, limits, continuity, differentiability, Reimann-tieltjes integral. Laplace's equation, Green's functions, complex variable methods, eigenfunction expansions. Rayleigh-Ritz, Galerkin, and collocation methods, variational inequalities approximations over rectangles and triangles, applications and computing.

8 MGT 50 NB 771 Biomedical Entrepreneurship Writing, ubmitting, and Reviewing Grants 2 BIOM 70 or MECH 70 or MGT 0 1 PHIL 666 cience and Ethics, O TAT 511 TAT 50 TAT/ERH 5 Design and Data Analysis for Researchers I Data Analysis and Regression Biostatistical Methods for Quantitative Data TAT 01 or ERH 07 or TAT 07 or TAT 11 or TAT 15 TAT at least six credits ERH 07 or TAT 07 or TAT 01 Commercialization process for biomedical inventions: market and competitor analysis, regulations, patents; preliminary feasibility study. Preparation of NRA fellowship proposals; proposal review; possible submission to NIH for funding. Ethical issues of research on humans and animals; Biosafety; fraud and deception in science; genetic engineering. tatistical methods for experimenters and researchers emphasizing design and analysis of experiments. ix credits of upper-division statistics courses or written consent of instructor. Regression and analysis of variance methods applied to both observational studies and designed experiments in the biological sciences. TAT 560 Applied Multivariate Analysis TAT 520 and TAT 50, Multivariate analysis of variance; principal components; factor analysis; discriminant analysis; cluster analysis. TAT 600 tatistical Computing TAT 520 and TAT 50, Optimization and integration in statistics; Monte Carlo methods; simulation; bootstrapping; density estimation; smoothing. Courses Recommended to trengthen Competencies (Not required nor applicable towards degree) Course Number Title Credits Prerequisite(s) em. Taught MATH 151 MATH 152 Mathematical Algorithms in Matlab I Mathematical Algorithms Maple 1 1 MATH 11 or MATH 155 or MATH 160 MATH 11 or MATH 155 or MATH 160,, tatements, expressions and variable assignments, scripts, control statements and logical statements. Newton's method, impson's rule, recursion. Iteration and recursion, control and logical statements, expression, functions, data types, binary numbers, symbolic manipulation of terms.

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