1. School: National Experimental High School at Central Taiwan Science Park Teacher: Yu Jen Hu Author: Wang Han-Lin, Lin Yi-Chieh The Mathematical Method for Influenza Viral Antibody Design

2. Conventional R&D process of antibody

3.  Human flu symptoms Introduction

4. The different types of Influenza A virus

5. The mathematical method

6. 6 Methods Probability of mutation from MLE (P) Put P into Jukes and Cantor distance model to create a species similarity matrix With the matrix, draw a phylogenetic tree and an rootless tree via N-J Method, and estimate the most likely sequence Conduct dynamic programming on the most likely sequence to find out the possible difference point Take the possible difference point as monoclonal and Variability sections of initial sequence to reduce the uncertainty of antibody development Experimental results indicate the feasibility study.

7. First, we calculated the base sequence similarity matrix for 14 influenza A subtype with MLE and Jukes and Cantor branching distance formula. And then add in neighbor-joining to conduct secondary analysis. Then, we found the phylogenetic tree and rootless tree. The last, we use N-W dynamic programming algorithm method to compare different sequences of influenza A subtypes. Protocol

8. Jukes-Cantor distance formula

9. 14 antibodies against influenza A subtype viruses nucleotide sequence similarity distance matrix. Results

10. The phylogenetic tree

11. The rootless tree

12.  We first used a proposed methodology improved the traditional antibody R&D process.  Through the sequence comparison calculations, we speed up to identify viral sequences specific section to reduce the blind test experiment.  By influenza A subtype viruses are known gene sequence analyze the evolution of the relationship between unknown influenza A subtype virus to design unknown influenza A subtype virus vaccine. Conclusion

13. 13 Thanks for your attention Acknowledgments: We wish to express their gratitude to Prof. Chou Kuan-Chi and Dr. Wang Shulhn-Der for critical discussion of the experimental protocols. This work was supported by grants from the National Science Council, Taiwan (NSC 101-2514-S-796-001).