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1. Radial and axial motion of the initially-tensioned orthotropic arterial wall in arterial pulse wave propagation

   https://doi.org/10.1115/1.4053863  

   Smith, Sara M.; Marin, Justine; Adams, Amari; West, Keith; and Hao, Zhili. (May 2022, Journal of Engineering and Science in Medical Diagnostics and Therapy)

   With the arterial wall modeled as an initially-tensioned thin-walled orthotropic tube, this study aims to analyze radial and axial motion of the arterial wall and thereby reveal the role of axial motion and two initial tensions of the arterial wall in arterial pulse wave propagation. By incorporating related clinical findings into the pulse wave theory in the literature, a theoretical study is conducted on arterial pulse wave propagation with radial and axial wall motion. Since the Young wave is excited by pulsatile pressure and is examined in clinical studies, commonly measured pulsatile parameters in the Young wave are expressed in terms of pulsatile pressure and their values are calculated with the well-established values of circumferential elasticity (E) and initial tension (T0) and assumed values of axial elasticity (Ex) and initial tension (Tx0) at the ascending aorta and the carotid artery. The corresponding values with exclusion of axial wall motion are also calculated. Comparison of the calculated results between inclusion and exclusion of axial wall motion indicates that 1) axial wall motion does not affect radial wall motion and other commonly measured pulsatile parameters, except wall shear stress; 2) axial wall motion is caused by wall shear stress and radial wall displacement gradient with a factor of (Tx0T0), and enables axial power transmission through the arterial wall; and 3) while radial wall motion reflects E and T0, axial wall motion reflects Ex and (Tx0T0). 

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2. Heterogeneous Cellular Contributions to Elastic Laminae Formation in Arterial Wall Development

   https://doi.org/10.1161/CIRCRESAHA.119.315348  

   Lin, Chien-Jung; Staiculescu, Marius C.; Hawes, Jie Z.; Cocciolone, Austin J.; Hunkins, Bridget M.; Roth, Robyn A.; Lin, Chieh-Yu; Mecham, Robert P.; Wagenseil, Jessica E. (November 2019, Circulation Research)
3. Relations of Radial Vibration of the Arterial Wall to Pulsatile Parameters in Blood Flow for Extraction of Arterial Indices

   https://doi.org/10.1115/1.4055390  

   Hao, Zhili (February 2023, Journal of Engineering and Science in Medical Diagnostics and Therapy)

   Abstract Given the wide utility of radial vibration of the arterial wall for clinical values, this paper presents a theoretical study on the relations of radial vibration of the arterial wall to pulsatile parameters in blood flow. Pulse wave propagation in an artery is formulated as a combination of the governing equations of blood flow and the arterial wall and no-slip conditions at the blood-wall interface and is analyzed to obtain the wave velocity and the theoretical expressions for blood flow rate and radial wall displacement in terms of pulsatile pressure. With the harmonics of a pulse signal, theoretical relations of radial vibration of the arterial wall to pulsatile parameters in blood flow are derived under two conditions: without and with wave reflection. These theoretical relations identify the assumptions for the simplified relations employed in the utility of radial vibration of the arterial wall for clinical values. With the arterial wall treated as a unit-mass vibration system, these simplified relations are utilized for extraction of arterial indices from radial vibration of the arterial wall. Other applications of such relations for clinical values are discussed, and the interaction between the arterial wall and blood flow is further revealed from the perspective of energy and one-dimensional wave equations. With harmonics and wave reflection considered, the derived theoretical expressions for radial wall vibration, pulsatile parameters in blood flow, and the relations between them provide theoretical guidance for improving their interpretation of clinical values with clearly defined physiological implications and assumptions. 

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4. Computational Mathematical Analysis Of Different Stent Geometries And Arterial Wall Response In Tortuous Coronary Artery

   Canic, Suncica; Wang, Yifan; Paniagua, David; Ramirez, Jonanlis; Paniagua, Lizy; Quezada, Raymundo; Jneid, Hani; Denktas, Ali; Paniagua, David (November 2019, Circulation)

   The biological response of a coronary artery can be assessed measuring the radial stress of the arterial wall, which depend on the location, arterial tortuosity, and cardiac cycle. We sought to study the radial stress and investigate which geometric distribution of stent struts is associated with favorable biologic response in tortuous coronary arteries. 

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5. Abstract 15896: Computational Mathematical Analysis of Different Stent Geometries and Arterial Wall Response in Tortuous Coronary Artery

   Suncica Canic, Yifan Wang (November 2019, Circulation)

   The biological response of a coronary artery can be assessed measuring the radial stress of the arterial wall, which depend on the location, arterial tortuosity, and cardiac cycle. We sought to study the radial stress and investigate which geometric distribution of stent struts is associated with favorable biologic response in tortuous coronary arteries. 

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