The objective of this thesis is to investigate the dynamics of cellular signal transduction through G-proteins both experimentally and mathematically. Both are used to gain insight into methods of manipulation of the cell response at the level of signal transduction. Experimentally, changes in intracellular calcium are measured in single smooth muscle (BC$\sb3$H1) cells using the fluorescent probe fura-2 in a digital fluorescence imaging system. The responses of single cells to phenylephrine stimulation are heterogeneous. Both the speed of calcium mobilization as well as the fraction of cells which mobilize calcium following phenylephrine stimulation increase with increasing ligand concentration. It is found that increases in the population...