===================================================================== ==> In this proposal, more time is being requested for RWEHRSE.MD_STRAT ===================================================================== We propose (i) to obtain spectrophotometric background fluxes using ISOPHOT for 8 M dwarfs for which observation times have been granted in the first round and (ii) to upgrade 10800 s of observation priority 2 to priority 1 (due to the autumn launch 7200 s were allocated for priority 1 and 10200 s for priority 2, for a spring launch all 18000 s had been in class 1). The wavelength range to be covered is 2 - 12 micron and the integration times for the background should be identical to those for the stars. By obtaining accurate background fluxes we expect to improve the accuracies of the objects' flux distributions by a wide margin; in particular, flux gradients which contain most of the information on the objects will become much more reliable. Since the atmospheric parameters of the stars to be determined depend on the fluxes in a highly non-linear way we await a super-linear reduction of the errors. Furthermore, the significance of differences between the object types will be strengthened. The upgrading of the observations is requested in order to make sure that the dependence of the radial temperature and pressure distributions (and therefore the start of the convection zone) on the effective temperature and the coronal activity can be investigated properly.