School: National Experimental High School at Central Taiwan Science Park Teacher: Yu Jen HuAuthor: Wang Han-Lin, Lin Yi-Chieh

The Mathematical Method for Influenza Viral Antibody Design

Conventional R&D process of antibody

Human flu symptoms

Introduction

The different types of Influenza A virus

...atcgaaa.....gggttca...

Needl eman– Wunsch al gori thm

The mathematical method

6

MethodsProbability 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.

• 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

Jukes-Cantor distance formula

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

Results

The phylogenetic tree

The rootless tree

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 sequenceanalyze the evolution of the relationship between unknowninfluenza A subtype virus to design unknown influenza Asubtype virus vaccine.

Conclusion

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).