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Fig. 2. Diffusion of cAR1-eYFP for resting cells and polarized cells. (A) Cumulative probability distribution of squared displacements, P(r2), of the trajectories (n=2060) of cAR1-eYFP from the top membrane of resting cells (control, black circles), recorded with tlag=44mseconds lag time between subsequent images. Data were fitted to a two-component model (equation 1) (grey curve), resulting in a fraction of immobile receptors, a fraction of mobile receptors and the mean squared displacement (MSD) of mobile receptors. The diffusion constant, D, was determined from: MSD=4Dtlag + 4 2=0.034±0.003 µm2 with a lateral accuracy =40nm given by our experimental conditions. 38±4% (mean±s.e.m.) of the receptors were mobile, characterized by a diffusion constant D=0.17±0.02 µm2/s. Fit to a one-component model (broken line, grey) did clearly fail to describe the data. (B) Cumulative probability distribution of squared displacements of cAR1-eYFP from the top membrane of the anterior (grey circles, n=526), and posterior (black circles, n=282) of polarized car1– cells in the natural assay. By fitting both P(r2) with the two-population model, 44±4% and 39±4% of the anterior and posterior receptors, respectively, were found to be mobile, which was significantly different according to a two-sample Kolmogorov-Smirnov test (KS-test) with an acceptance level of 93.5%. (C) Cumulative probability distribution of squared displacements of cAR1-eYFP from the top membrane of the anterior (n=193) and posterior (n=368) sides of gradient-sensing competent car1– cells in relation to the position of the needle before the cAMP gradient was initiated. The mobile fraction of the receptors was not different between anterior and posterior, and was equal to the control, as tested with a KS-test with an acceptance level of 93.5%. (D) Cumulative probability distribution of squared displacements of cAR1-eYFP from the top membrane of the anterior (n=225) and posterior (n=367) of gradient-sensing car1– cells. After the needle filled with 10 µM cAMP was placed, 54±5% and 31±3% of the receptors were found to be mobile, respectively. (E) Cumulative probability distribution of squared displacements of cAR1-eYFP from the top membrane of the anterior (n=404) and posterior (n=509) of gradient-sensing g 2– cells before the needle with cAMP was placed. 57±6% and 59±6% of the receptors were found to be mobile, respectively. (F) Cumulative probability distribution of squared displacements of cAR1-eYFP from the top membrane of the anterior (n=531) and posterior (n=687) of gradient-sensing g 2– cells after the needle filled with 10 µM cAMP was placed. 51±5% and 49±5% of the anterior and posterior receptors, respectively, were found to be mobile.
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