Membrane biophysics is the study of how cells use energy and matter to move, change shape, and ultimately stay alive. It's a combination of chemistry, biology and physics, so it can be a bit complicated.
Basically, all cells have a membrane that surrounds them and acts like a wall. This wall keeps all the different parts of the cell - like proteins and other molecules - inside, while keeping undesired molecules out. The membrane is made of molecules called lipids, and these molecules form a sort of barrier. The membrane also has tiny pores that can open to let certain molecules in or out. This is what cells use to regulate what goes in and out of the cell, so it's important for the health of the cell.
Membrane biophysics looks at how the lipids move, and how this affects the energy and matter in the cell. It looks at questions like: how do cells store energy, how do they move substances in and out of their cells, and how does this all help the cell stay alive. Understanding membrane biophysics helps us learn how cells work, which has implications for many areas of biology and medicine.