In a second step, we checked the fits to the Hill function by eye to ensure they gave us reasonable estimates for I1/2 and the Hill coefficient. To calculate the release rate in a bipolar cell terminal we begin with the following relation: equation(Equation 11) dNoutdt=Vexo(t)−Vendo(t)where Nout is the number of vesicles fused to the terminal membrane and Vexo and Vendo are the speeds of exocytosis selleck and endocytosis, respectively. Because equation(Equation 12) Vendo(t)=kendo·Nout(t),Vendo(t)=kendo·Nout(t),the speed of exocytosis is equation(Equation 13)
Vexo(t)=dNoutdt+kendo·Nout(t)where kendo is the rate-constant of endocytosis, which has been measured to be ∼0.1 s−1 during ongoing activity in isolated bipolar cells (Neves and Lagnado,
1999) and in vivo (Figure 3B). Fast endocytosis (∼1 s) will not contribute significantly to these estimates because it has a limited capacity and primarily operates on vesicles learn more released within the first tens of milliseconds of a large calcium transient (Neves et al., 2001). Further, the fluorescence of the pHluorin is quenched with a time constant of 4–5 s only after endocytosis, reflecting the time required for reacidification of the interior of the vesicle by the
proton pump ( Granseth et al., 2006). Decay of the sypHy signal with a time constant of 4–5 s was not observed ( Figure 3B), consistent with the fast mode of retrieval being very small compared to the much larger number of vesicles retrieved with a time constant of 10 s. We assume that vesicles are in one of two states; internalized and quenched (with unitary fluorescence, Fvq), and released and unquenched (Fvu). A number of studies using pHluorin-based reporters have also demonstrated a standing pool of unquenched TCL reporter on the cell surface (Granseth et al., 2006), so the total sypHy fluorescence F at time t was assumed to be the sum of these three different sources of fluorescence, as follows: equation(Equation 14) F(t)=(Nout(t)⋅Fvu)+((Ntotal−Nout(t))⋅Fvq)+(Ntotal⋅αmin⋅Fvu)F(t)=(Nout(t)⋅Fvu)+((Ntotal−Nout(t))⋅Fvq)+(Ntotal⋅αmin⋅Fvu)where αmin is the fraction of vesicles “stuck” on the terminal membrane and not involved in the vesicle cycling process, and Ntotal is the total number of vesicles in the terminal. We estimated αmin and Ntotal as described below. Equation 14 can be arranged to equation(Equation 15) Nout(t)=F(t)−(Ntotal⋅(Fvq+(αmin⋅Fvu)))Fvu−Fvq Because Fvq = Fvu/20 (Sankaranarayanan et al.