Final answer:
The most appropriate tests related to the posterior tibialis integrity are not perfectly matched in the provided options. However, the closest match from the given choices is Medial Talar Tilt Test, Thomas Test, and Posterior Drawer Test.
Step-by-step explanation:
Tests that are related to the integrity of the posterior tibialis muscle and tendon aim to assess the stability of the foot and ankle, as well as the ability for plantar flexion and foot inversion. The posterior tibialis is important for maintaining the arch of the foot and contributing to foot inversion movements. The correct set of tests that relate to the posterior tibialis from the given options is Medial Talar Tilt Test, Thomas Test, and the Posterior Drawer Test.
The Posterior Drawer Test and Medial Talar Tilt Test are more specific for the assessment of the ligaments around the ankle, whereas the Thomas Test is used to assess hip flexibility rather than ankle or foot integrity. None of these tests are a perfect match for the assessment of the posterior tibialis which would more accurately be evaluated through specific posterior tibialis function tests such as the 'too many toes' sign or the single heel raise test.