Have considered the vibrational behavior of a discrete system. How does one use this for a continuous structure? First need the concept of..... Influence Coefficients

For a number of cross-sections we cannot find stress functions. However, we can resort to an analogy introduced by Prandtl(1903) Consider a membrane under pressure p, Membrane\. structure whose thickness is small compared to surface

Now consider the case of compressive loads and the instability they can cause. Consider only static instabilities (static loading as opposed to dynamic loading [ e.g., flutter) From Unified, defined instability via a system becomes unstable when a negative stiffness overcomes

Thus far have considered only static response. However, things also move, this includes structures Can actually identify three \categories\ of response A.(Quasi)-Static [quasi because the load must first be applied

Thus far, we have concentrated on the bending of shell beams. However, in the general case a beam is subjected to axial load. F · bending moments,M · shear forces,S torque(torsional moments)

Recursion and dynamic programming Applied dynamic programming: global alignments: Needleman-Wunsch Applied dynamic programming: local alignments Smith -Waterman Substitution matrices PAM. blosUM, Gonnet Gaps- linear and affine Alignment statistics

Outline Distance Matrix Methods Neighbor-Joining Method and Related Neighbor Methods Maximum Likelihood Parsimony Branch and bound Heuristic Seaching Consensus Trees Software(PHYLIP, PAUP)

What is a genome? 123456789101112 13141516171819202122XY A genome is NoT a bag of proteins

Review of markov models DNA Evolution CpG Island HMM The viterbi algorithm Real World HMMs Markov models for dna evolution Ch. 4 of Mount

Outline Brief review of protein structure chou -Fasman- predictions Garnier, Osguthorpe and Robson Helical wheels and hydrophobic moments Neural networks Nearest neighbor methods Consensus prediction approaches