Django custom module endpoint URL problem

middleware.py

# Django v1.7.7 - no I can't upgrade due to factors beyond my control
# This file, middleware.py, is in a Django app directory and correctly added to MIDDLEWARE_CLASSES.
# Currently, I get a 404 when tring to access localhost:8000/liveness/
# Howver, I can't figure out what the urlpatterns should be for the
# the liveness/ and readiness/ endpoints.

import logging

from django.http import HttpResponse, HttpResponseServerError

logger = logging.getLogger("liveness")

class HealthCheckMiddleware(object):
    def liveness(self, request):
        if request.method == "GET":
            if request.path == "/liveness":
                return HttpResponse("OK")

    def readiness(self, request):
        # Connect to each database and do a generic standard SQL query
        # that doesn't write any data and doesn't depend on any tables
        # being present.
        if request.path == "/readiness":
            try:
                from django.db import connections
                for name in connections:
                    cursor = connections[name].cursor()
                    cursor.execute("SELECT 1;")
                    row = cursor.fetchone()
                    if row is None:
                        return HttpResponseServerError("db: invalid response")
            except Exception, e:
                logger.exception(e)
                return HttpResponseServerError("db: cannot connect to database.")

            return HttpResponse("OK")