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Computational Bioimaging Certificate Program

Courses:

Curriculum

A student must take at least one course in each of the following areas: Scientific Computing (3 hours), Radiology (3 hours), Bioengieering (3 hours), and a project-based course in Computational Bioimaging (3 hours). A minimum of 15 hours course work is required and the other 3 hours (or more) course work will be determined by the student's advisory committee from the course selection is listed below.

The course requirements for the certificate program are for a minimum of 15 credit hours organized as follows:

  • A set of three core courses (described below), one each from the areas of Scientific Computing (3 hours), Radiology (3 hours), Bioengieering (3 hours)
  • A project based course in Computational Bioimaging (3 hours)
  • At least 3 additional hours of courses to be determined by the student's advisory committee, typically from the list provided below.

Computational Bioimaging Core Courses:

  1. CS 5964 Image Processing or CS 5630 Scientific Visualization (3 hr)
  2. BE 6000 Principles of Physiology I or BE 6010 Principles of Physiology II (3 hr)
  3. RAD 6310 X-Ray and Ultrasound or RAD 6320 Nuclear Medicine and MRI (3 hr)
  4. Computational Bioimaging Project (3 hr)

The final course, Computational Bioimaging, is a project-oriented course addressing relevant research problems and team taught by professors from the departments represented in this program. Students will typically carry out a research project within ongoing sponsored research activities directed either to developing new research modalities or applying existing ones to relevant problems in biomedical research. The choice of research project will depend on the interests of the students, their advisor, and the student's home department. A major area of emphasis in the project will be to expose the student to cutting edge research carried out in an interdisciplinary team.

Course Descriptions:

Computer Science Courses:

6210 Advanced Scientific Computing I (3)
Prerequisite: CP SC 3200 and 3510 and MATH 3160.
A survey of scientific computation relevant to Computational Science and Engineering students. Topics covered include: floating point arithmetic, systems of linear equations, nonlinear equations, nonlinear optimization, interpolation and differentiation, integration, as well as topics in parallel algorithms and MPI programming.

6220 Advanced Scientific Computing II (3)
Prerequisite: CP SC 5210/6210 or MATH 5600.
A study of the numerical solution of two- and three-dimensional partial differential equations that arise in science and engineering problems. Topics include finite difference methods, finite element methods, boundary element methods, multigrid methods, mesh generation, storage optimization methods, and adaptive methods. Offered every third semester beginning Spring, 1999.

6320 Computer Vision (3)
Prerequisite: CP SC 3510 and MATH 2210 and 2270.
Basic pattern-recognition and image-analysis techniques, low-level representation, intrinsic images, "shape from" methods, segmentation, texture and motion analysis, and representation of 2-D and 3-D shape.

6630 Scientific Visualization (3)
Prerequisite: CP SC 3510 and (3200 or 5210/6210 or MATH 5600).
This course presents principles and methods for visualizing data resulting from scientific measurement and computations. The emphasis is on using 2D and 3D graphics to gain insights into multidimensional data sets. Topics include visualization software and techniques, human vision, color mapping, data representation, volume rendering, and surface extraction and rendering.

Bioengineering Courses:

6000 Systemic Physiology I: Cardiovascular, respiratory, and renal systems (3)
Prerequisites: BIOEN 6050, BIOEN 3201/3202, or equivalent. Open to medical and other graduate students.
The goal of this course is to understand the concepts and mechanisms of systemic cardiovascular physiology based on a survey of a variety of animal systems. The course assumes a basic knowledge of human physiology and builds on that knowledge by examining the adaptation of other species to meet their challenges and maintain homeostasis. There is substantial emphasis on engineering approaches, quantitative methods, and simulation.

6010 System Physiology II: Physiological control: neural and endocrine systems (3)
Prerequisites: BIOEN 6050, BIOEN 3201/3202, or equivalent. Open to medical and other graduate students.
The goal of this course is to present a comprehensive introduction to the roles of the nervous and endocrine systems in controlling the function of animal systems. The course assumes a basic knowledge of human physiology and builds on that knowledge by examining the adaptation of other species to meet their challenges and maintain homeostasis. There is substantial emphasis on engineering approaches, quantitative methods, and simulation.

6430 Systems Neuroscience: Functioning of the Nervous System (4)
Understanding how the brain works is one of the deepest and most exciting challenges confronting modern science. This course will explore systems-level functioning of the nervous system, beginning with relatively concrete issues of sensory coding and motor control, and expanding into more abstract, but equally important, higher-order phenomena, such as language, cognitive and mood disorders, states of arousal, and experience-dependent modifications of neuronal operations.

6460 Electrophysiology & Bioelectricity (3)
Prerequisite: Permission of instructor required.
The goal of this class is to provide an overview of electrophysiology and bioelectricity to graduate students with special interest in cardiology and neurosciences. We will develop the central electrical mechanisms from the membrane channel to the intact organ, building on those that are common to many electrically active cells in the body. The approach will be a combination of qualitative explanations, quantitative analysis, and mathematical simulation. The class format will include didactic lectures, group discussion of primary literature, student presentations, quantitative problem solving exercises, writing assignments, and laboratory experiences. The prerequisite for the course is the permission of the instructor; strongly recommended background knowledge includes previous exposure to basic electrophysiology (e.g., Bioengineering 6000/6010 or equivalent), university level calculus and physics. Homework assignments will require the use of Matlab and electronic submission of reports.

6470 Ultrasound (2)
Cross listed as ECE 5470.
Acoustic-wave propagation in biological materials with examples of practical medical instrumentation resulting from ultrasound interactions with biological structures. Includes one lab experience.

Radiology Courses:

6310 Physics of MEG, X-Ray and Ultrasound (3)
Cross listed as BIOEN 6310.
Physical aspects and principles of magnetoencephalography (MEG), X-ray, and ultrasound radiology, including an overview of the hardware related to these medical-imaging modalities. Laboratory.

6320 Physics of Nuclear Medicine and MRI (3)
Cross listed as BIOEN 6320.
Physical aspects and principles of nuclear medicine and MRI, including an investigation into the design of hardware related to these medical imaging modalities. Laboratory.

7310 Advanced Topics in Magnetic Resonance Imaging (3)
Cross listed as BIOEN 7310, ECE 7310.
In-depth study of physics and mathematics of MR imaging and MR spectroscopy as they relate to the imaging of biologic systems: NMR physics, Block's equations, pulse sequences, flow and diffusion phenomena, spectroscopy principles, methodology. Laboratory.

7320 3-D Reconstruction Techniques in Medical Imaging (3)
Cross listed as BIOEN 7320, ECE 7320.
Physics and mathematics of three-dimensional reconstruction techniques in medical imaging: projection slice theorem, back-projection techniques, analytical and iterative reconstruction algorithms, numerical methods; applications in X-ray CT, SPECT, PET, and NMR. Laboratory.