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Course Criteria
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3.00 Credits
Staff. Pre-requisite: ENGP 2430, BMEN 3300. This course provides an introduction to the various approaches used in modeling soft tissues, with particular attention paid to those of the musculoskeletal system (e.g. ligament, tendon, cartilage). Particular emphasis will be placed on the theoretical and experimental consequences of the large deformation behavior of these tissues. An important objective of this class is to enable the student to develop a sense for the physical and mathematical relationships between the many types of models (and the associated experiments) currently being utilized in soft tissue mechanics.
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3.00 Credits
Staff. Pre-requisite: BMEN 3300 or equivalent. Matrix structural analysis techniques as applied to frames, problems in plane strain, plane stress, and axisymmetric and 3-D structures. Development of the isoparametric family of finite elements. Use of user written and packaged software.
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3.00 Credits
Dr. Murfee. Pre-requisite: BMEN 3060, BMEN 3400. The objectives of this graduate-level course are to familiarize students with contemporary research areas that cover the field of vascular biology, and to provide an understanding of bioengineering principles related to physiological function and therapeutic modalities. Example topics include smooth muscle cell and endothelial cell lineage, leukocyte-endothelial cell interactions, angiogenesis, drug targeting via the microcirculation, neural vascular control, atherosclerosis, and hypertension. These topics will be presented in the context of four over-arching sections: 1) Vascular Cell Biology; 2) Principles of Vascular Function and Design; 3) Vascular Pathophysiology, and 4) Therapeutic Design. For each section of the course students will be required to read, critically analyze, and present relevant articles. As indicated by the section titles, the course will culminate by highlighting how our basic understanding of physiological function/dysfunction can be translated to therapeutic design.
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3.00 Credits
Dr. Khismatullin. Fundamental principles of mass and momentum transport will be applied to physiological problems.Â" " The topics of this course will cardiovascular, respiratory, and urinary systems, transmembrane and transvascular transport, transport within the cell, cell adhseion, drug transport, pharmocokinetics, and transport-related diseases (atherosclerosis, sickle cell disease, embolism, cancer metastasis and urologic disease).
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3.00 Credits
Staff. Pre-requisite: ENGP 2430, BMEN 3030, BMEN 3400 or instructor’s approval. This course reviews cellular mechanotransduction in a variety of tissues that adapt to physiological loading. A partial list of mechanosensing cells sells in these tissues include hair cells in inner ears, chondracytes in cartilage, osteocytes in bone, endothelial cells in blood vessels, etc. In particular, this course emphasizes the role of mathematical modeling in solving biological problems. Hands-on mathematical modeling will be assigned as homework and projects.
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3.00 Credits
Dr. Khismatullin. The objective of this graduate course is to provide students with the skills and knowledge necessary for computational modeling of biological and physiological systems. The first half of the course will cover introduction to UNIX, elements of programming (Matlab and Fortran), and numerical methods commonly used in biomedical research. The second half will immerse the students in specific biomedical applications including hemodynamics, respiratory flow, cellular mechanobiology, and neural dynamics. Most lectures will be accompanied by computer labs.
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3.00 Credits
Dr. Khismatullin. This course covers fundamentals of computational methods with the emphasis in biomechanics applications. The computational methods include finite element methods and finite difference methods at the introductory level. The course will use MATLAB as the computational tool to implement these methods. The underlying theories of these numerical methods will be taught, and example problems will be discussed during the lecture. Example problems will include those from implant design, bone biomechanics, and soft tissue biomechanics, in static and dynamic conditions. The course will also discuss some special issues such as the stability/convergence criteria and the error estimation. The student will work on a term project to exercise these issues on a biomechanics problem of his/her choice.
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3.00 Credits
Drs. Gaver, Bishop and Adhangale. This course is an introduction to multi-scale modeling from the atomistic- to continuum-levels. This course will begin with an introduction to molecular modeling with an emphasis on biomolecules and applications related to membranes, proteins and DNA. Continuum mechanics models of DNA and membranes will be developed, including equations of state describing the large-scale influence of atomistic structures in fluid systems. Students will learn to perform continuum mechanics calculations that will link to these atomistic structures, and thus model dynamic systems that span many scales.
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3.00 Credits
Dr. Khismatullin. Fundamental principles of continuum mechanics will be applied to problems of biomechanics at the cellular level. Topics covered include structure of mammalian cells, cell membrane mechanics, mechanics of the cytoskeleton, models of cell viscoelasticity, cell adhesion, active cell processes, flow-induced deformation of blood cells, and experimental techniques (micropipette aspiration, biointerface probe, atomic force microscopy, magnetic twisting cytometry, optical tweezers, and flow chamber assays).
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3.00 Credits
Dr. Gaver. Pre-requisite: MATH 2240, BMEN 6330 or equivalent. This is a survey course in which mechanical models of the pulmonary system are discussed. Topics to be addressed include mucous transport, airflow/diffusion in the pulmonary airways, ventilation/perfusion relationships, flow through collapsible airways and interfacial phenomena.
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