Before revision:  Surprisingly, time-integration with multiple receptor types is qualitatively different from gradient sensing by a single receptor type - it is possible for cells to extract orders of magnitude more information out of a signal by using a maximum likelihood estimate than naive time integration  .
After revision:  Surprisingly, time-integration with multiple receptor types is qualitatively different from gradient sensing by a single receptor type - it is possible for cells to extract orders of magnitude more chemotactic information than expected by naive time integration .