  We model Spitzer Space Telescope observations of the Taurus Class 0 protostar
L1527 IRS (IRAS 04368+2557) to provide constraints on its protostellar envelope
structure. The nearly edge-on inclination of L1527 IRS, coupled with the highly
spatially-resolved near to mid-infrared images of this object and the detailed
IRS spectrum, enable us to constrain the outflow cavity geometry quite well,
reducing uncertainties in the other derived parameters. The mid-infrared
scattered light image shows a bright central source within a dark lane; the
aspect ratio of this dark lane is such that it appears highly unlikely to be a
disk shadow. In modeling this dark lane, we conclude that L1527 IRS is probably
not described by a standard TSC envelope with simple bipolar cavities. We find
it necessary to model the dark lane and central source as a modified inner
envelope structure. This structure may be due either to a complex wind-envelope
interaction or induced by the central binary. To fit the overall SED, we
require the central source to have a large near to mid-infrared excess,
suggesting substantial disk accretion. Our model reproduces the overall
morphology and surface brightness distribution of L1527 IRS fairly well, given
the limitations of using axisymmetric models to fit the non-axisymmetric real
object, and the derived envelope infall rates are in reasonable agreement with
some other investigations. IRAC observations of L1527 IRS taken 12 months apart
show variability in total flux and variability in the opposing bipolar
cavities, suggesting asymmetric variations in accretion. We also provide model
images at high resolution for comparison to future observations with current
ground-based instrumentation and future space-based telescopes.
