This is dependent upon whether the fallen hairs are telogen or broken hairs. Generally, elasticity refers to how breakage-prone your hair is. If you have low-elasticity, your hair is more likely to snap under pressure (like brushing). However, if the hairs are not broken and have a Telogen root, then this means that the hair is falling from the root and therefore it is unlikely to be an elasticity issue. Telogen Effluvium is a temporary hair loss condition that can cause more hairs to be pushed into the Telogen Phase. Hairs in the Telogen Phase fall out much easier, especially when brushed and so on, which is why people who experience this issue see an acute increase in their hair fall. Most of the time this condition is triggered by suboptimal lifestyle practices such as a poor diet (low protein, low in hair loving nutrient), poor blood flow, too much stress, too little sleep and so on. Or it can be triggered by big shocks and changes to the body- surgery, dramatic weight loss, break up and so on! Unfortunately there isn't much you can do once the hairs have been pushed into the Telogen Phase, since once they are there they have to fall out. However, you will want to work on finding and healing the root cause that triggered your hair loss and focus on building great hair care routine and lifestyle practices, so that when the hair grows back in you don't experience it again.