“…To complete the system, we relate pressure and CSA by a linear constitutive equation of the form This relation, also known as the “Tube Law,” was derived by Whittaker et al (2010) and validated experimentally by Kwiatek et al (2011) . In the equation above, P o is the outside pressure, K e is tube stiffness, and A o is the undeformed reference area (CSA of the tube when P = P o ) ( Elisha et al, 2022a ; Elisha et al, 2021 ; Elisha et al, 2022b ; Acharya et al, 2021c ). Lastly, to mimic muscle peristaltic contraction, we vary the reference area sinusoidally by multiplying A o by an activation function θ ( x , t ) ( Ottesen, 2003 ; Manopoulos et al, 2006 ; Bringley et al, 2008 ; Acharya et al, 2021c ; Elisha et al, 2022a ).…”