Courses _ bulletin _ columbia engineering

The biophysics of computation: modeling biological neurons, the Hodgkin-Huxley neuron, modeling channel conductances and synapses as memristive systems, bursting neurons and central pattern generators, I/O equivalence and spiking neuron models. Symptoms of fluid in the ear Information representation and neural encoding: stimulus representation with time encoding machines, the geometry of time encoding, encoding with neural circuits with feedback, population time encoding machines. Sinus drainage in ear Dendritic computation: elements of spike processing and neural computation, synaptic plasticity and learning algorithms, unsupervised learning and spike time-dependent plasticity, basic dendritic integration. Ear and tooth pain on one side Projects in MATLAB.


A two-semester design sequence to be taken in the senior year. Fluid in ears in adults Elements of the design process, with specific applications to biomedical engineering: concept formulation, systems synthesis, design analysis, optimization, biocompatibility, impact on patient health and comfort, health care costs, regulatory issues, and medical ethics. Ear and jaw pain after tooth extraction Selection and execution of a project involving the design of an actual engineering device or system. Fluid in the ear in adults Introduction to entrepreneurship, biomedical start-ups, and venture capital. Fluid in ear symptoms in adults Semester I: statistical analysis of detection/classification systems (receiver operation characteristic analysis, logistic regression), development of design prototype, need, approach, benefits and competition analysis. Jaw pain on left side near ear Semester II: spiral develop process and testing, iteration and refinement of the initial design/prototype and business plan development. Symptoms of fluid in ear A lab fee of $100 each is collected.

Survey of experiments and theoretical analyses of the mechanical behavior of individual living nonmuscle cells. How to get rid of fluid in inner ear Emphasis on quantitative analytic description using continuum mechanics and molecular level theory from the standpoint of statistical mechanics and mechanical models. Fluid in ear symptoms Mechanics of erythrocytes, leukocytes, endothelial cells, and fibroblasts; models of aggregation, adhesion, locomotion, amoeba motility, cell division and morphogenesis; molecular level models of actin, myosin, microtubules, and intermediate filaments and relation to mechanical properties of cells and cytoskeleton. Ear jaw and neck pain on left side Alternative models of cytoskeletal mechanics, foam theory, tensegrity. Signs of fluid in ears Analysis of experimental techniques including micropipette studies, optical and magnetic cytometry, and nanoindentation.

A two-semester design sequence to be taken in the senior year. Relieve fluid in ear Elements of the design process, with specific applications to biomedical engineering: concept formulation, systems synthesis, design analysis, optimization, biocompatibility, impact on patient health and comfort, health care costs, regulatory issues, and medical ethics. Fluid behind eardrum adults Selection and execution of a project involving the design of an actual engineering device or system. Fluid in baby ears Introduction to entrepreneurship, biomedical start-ups, and venture capital. Fluid behind eardrum remedy Semester I: statistical analysis of detection/classification systems (receiver operation characteristic analysis, logistic regression), development of design prototype, need, approach, benefits and competition analysis. Fluid behind eardrum symptoms Semester II: spiral develop process and testing, iteration and refinement of the initial design/prototype and business plan development. Fluid in the ear symptoms A lab fee of $100 each is collected.