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BMA 696: Summer Thesis Research
1.00 Credits
North Carolina State University
For graduate students whose programs of work specify no formal course work during a summer session and who will be devoting full time to thesis research.
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BMA 696 - Summer Thesis Research
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BMA 699: Master's Thesis Preparation
1.00 - 3.00 Credits
North Carolina State University
For students who have completed all credit hour requirements and full-time enrollment for the master's degree and are writing and defending their theses.
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BMA 699 - Master's Thesis Preparation
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BMA 722: Decision Analytic Modeling
4.00 Credits
North Carolina State University
Analysis of decision problems involving risk and uncertainty. Modeling decision process; Bayesian probability analysis, use of information, and subjective probability; utility theory and multiattribute utility assessment; dynamics of interacting with decision makers and subject matter specialists; decision trees, influence diagrams and other tools to assist in modeling decision problems. Laboratory develops skill in implementing methodology.
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BMA 722 - Decision Analytic Modeling
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BMA 771: Biomathematics I
3.00 Credits
North Carolina State University
Role of theory construction and model building in development of experimental science. Historical development of mathematical theories and models for growth of one-species populations (logistic and off-shoots), including considerations of age distributions (matrix models, Leslie and Lopez; continuous theory, renewal equation). Some of the more elementary theories on the growth of organisms (von Bertalanffy and others; allometric theories; cultures grown in a chemostat). Mathematical theories oftwo and more species systems (predator-prey, competition, symbosis; leading up to present-day research) and discussion of some similar models for chemical kinetics. Much emphasis on scrutiny of biological concepts as well as of mathematical structureof models in order to uncover both weak and strong points of models discussed. Mathematical treatment of differential equations in models stressing qualitative and graphical aspects, as well as certain aspects of discretization. Difference equation models.
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BMA 771 - Biomathematics I
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BMA 772: Biomathematics II
3.00 Credits
North Carolina State University
Continuation of topics of BMA 771. Some more advanced mathematical techniques concerning nonlinear differential equations of types encountered in BMA 771: several concepts of stability, asymptotic directions, Liapunov functions; different time-scales. Comparison of deterministic and stochastic models for several biological problems including birth and death processes. Discussion of various other applications of mathematics to biology, some recent research.
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BMA 772 - Biomathematics II
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BMA 773: Stochastic Modeling
3.00 Credits
North Carolina State University
Survey of modeling approaches and analysis methods for data from continuous state random processes. Emphasis on differential and difference equations with noisy input. Doob-Meyer decomposition of process into its signal and noise components. Examples from biological and physical sciences, and engineering. Student project.
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BMA 773 - Stochastic Modeling
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BMA 774: Partial Differential Equation Modeling in Biology
3.00 Credits
North Carolina State University
Modeling with and analysis of partial differential equations as applied to real problems in biology. Review of diffusion and conservation laws. Waves and pattern formation. Chemotaxis and other forms of cell and organism movement. Introduction to solid and fluid mechanics/dynamics. Introductory numerical methods. Scaling. Perturbations, Asymptotics, Cartesian, polar and spherical geometries. Case studies.
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BMA 774 - Partial Differential Equation Modeling in Biology
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BMA 790: Special Topics
0.00 Credits
North Carolina State University
No course description available.
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BMA 790 - Special Topics
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BMA 801: Seminar
1.00 Credits
North Carolina State University
Graduate students in biomathematics are expected to attend through most of their residence period.
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BMA 801 - Seminar
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BMA 815: Advanced Special Topics
1.00 - 3.00 Credits
North Carolina State University
Directed readings, problem sets, written and oral reports as dictated by need and interest of student; new 600-level courses during the development phase (currently includes courses in stochastic modeling and biophysical theory).
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BMA 815 - Advanced Special Topics
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