A Statistical Physics Model ( Or Soal )

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A Statistical Physics Model ( or SOAL Stochastically Oriented Asymmetric Localization) for Axon Outgrowth Patterning Normally, at the leading edge, the molecular mechanism produces axon outgrowth activity and moves plasma membrane extension of HSN cell body in the ventral direction (Adler et al., 2006). However, in mutants, the different directions of axon outgrowth from the HSN cell body scored to create a probability distribution for axon outgrowth activity directions, diffusion and displacement (Tang and Wadsworth, 2014). Therefore, the axon outgrowth pattering is altering. Previous study reported that the extracellular guidance cues, including UNC-6/Netrin and its receptor have role in determining the axon outgrowth…show more content…
Using the probability distribution, we compared the probabilities in wild type and mutants. For example, UNC-6/Netrin extracellular guidance cues can decreases or increase the probability of UNC-40 activity at each side of the neuron. Thus, this probability is directed as a stochastic process. In more evidence, the probability of axon outgrowth activity in ventral direction is decreased, whereas the probability of axon outgrowth in other directions is increased in mutants (Xu et al., 2009; Kulkarni et al, 2013; Yang et al., 2014; Tang and Wadsworth, 2014). Therefore, the guidance cues control the direction of movement fluctuates over time. We report that this probabilities can cause different regions of the neurons plasma membrane to move in different directions. Thus the axon outgrowth extension morphology is abnormal and cause new axon outgrowth patterning. Genetic evidence indicates that UNC-40/DCC, a central regulator of polarization in multicellular animals (Ziel and Sherwood, 2010), mediates several signals that regulates the polarization and orientation in response to UNC-6/Netrin. UNC-40::GFP clusters randomly along the cell surface in response to polarization signal whereas the orientation signal causes the UNC-40::GFP cluster toward specific direction (Xu et al., 2009; Kulkarni et al., 2013; Tang and Wadsworth, 2014). Consisting with a random walk, we hypothesize that random walk used to
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