  Inter neuron communication happens through the exchange of neurotransmitters
at the synapse by a process known as exocytosis. This makes exocytosis a
fundamental process of information exchange in the body. The exocytosis process
has a distinct geometry as it involves a vesicle that attaches to the cell
membrane and then releases the neurotransmitters through a pore. Significant
recent research, both experimental and numerical, attempt to understand the
time dynamics of exocytosis. In this manuscript, we share an analytical model
that predicts the key output parameters of exocytosis based on the geometry of
the vesicle and pore. Our analytical predictions are well supported by detailed
numerical simulations. This model could help extract geometrical parameters
from experimental data and hence could be of broad interest.
