An integrated circuit may comprise a digital logic circuit, a memory refresh circuit, a first one or more dynamic random access memory (DRAM) cells, and a second one or more DRAM cells. The first DRAM cell(s) may be refreshed by the memory refresh circuit whereas the second DRAM cell(s) is not refreshed by any memory refresh circuit. Each of the first DRAM cell(s) and the second DRAM cell(s) may be a one-transistor cell. The first DRAM cell(s) may be used for storage of data which is overwritten at less than a threshold frequency. The second DRAM cell(s) may be used for storage of data which is overwritten at greater than the threshold frequency. A rate at which the first DRAM cell(s) are refreshed may be adjusted during run-time of the integrated circuit.