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Analysis of microtubule dynamics using growth curve models
Authors:S Rao Jammalamadaka  Md Aleemuddin Siddiqi  Kaushik Ghosh
Institution:1. Department of Statistics and Applied Probability , University of California Santa Barbara , Santa Barbara , CA , USA;2. Symbiance, Inc. , Princeton Junction , NJ , USA;3. Department of Mathematical Sciences , University of Nevada Las Vegas , Las Vegas , NV , USA
Abstract:Microtubules are part of the structural network within a cell's cytoplasm, providing structural support as well as taking part in many of the cellular processes. A large body of data provide evidence that dynamics of microtubules in a cell is reponsible for the performance of many critical cellular functions such as cell division. In this article, we study the effect of four different isoforms of a protein tau on microtubule dynamics using growth curve models. The results show that a linear growth curve model is sufficient to explain the data. Moreover, we find that a mutated version of a 3-repeat tau protein has a similar effect as a 4-repeat tau protein on microtubule dynamics. The latter findings conform with the biological understanding of the effect of the protein tau on microtubule dynamics.
Keywords:growth curves  microtubule dynamics  polynomial regression  splines  MANOVA  Wilks’ Lamda
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