Boyle's Law is not easily applicable to physiological respiration, i.e. breathing, due to the constraints of fixed moles and temperature for the equation to make sense. The temperature of gasses in your lungs is generally different than the temperature of the surrounding air (because your body warms the air in your lungs), and as you breathe air in and out the molality of the gasses in your lungs changes.
To apply Boyle's Law to your lungs, you could in theory obtain a limited application by holding your breath, then flexing your diaphragm.
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