Impact of solitons on the progression of initial lesion in aortic dissection

Jadaun, Vishakha; Singh, Nitin Raja; Singh, Sanjay Kumar; Shankar, Ravi

doi:10.1142/s1793524521500960

Cited by 8 publications

(2 citation statements)

References 64 publications

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“…Stanford type A aortic dissection involves ascending aorta including arch of aorta upto origin of left Brachiocephalic Trunk. Stanford type B aortic dissection involves descending aorta [1][2][3][4]. The Stanford classification suggests that prognosis is based on location of involvement.…”

Section: Introductionmentioning

confidence: 99%

Interaction between Conformational Features and Hemodynamic Flows affecting Progression of Aortic Aneurysm and Dissection Disorders

Jadaun¹,

Singh

2022

Preprint

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Hemodynamic flows are subjected to quasi-periodic velocity modulations. Currently, there is no methodology to predict the rate of progression of aortic aneurysm and dissection disorders. In this paper, the association between conformational features of the vessel wall and intra-luminal hemodynamic flows is explored to understand shear forces affecting the structural integrity of the vessel wall. The infinitesimal component of the vessel wall with cystic medial necrosis in tunica media is considered as nonlinear ballooning in the aorta with aortic aneurysm and dissection disorders. Assuming the hemodynamic system as a finite dissipative system, we frame the equation of the vessel wall of the aorta as well as lesion related to aortic aneurysm and dissection disorders. We introduce the main results for the generalized (3+1)-dimensional nonlinear evolution equation, using the Lie group of transformations method. Furthermore, we discuss the implications of traveling wave solutions and the shape, height, and width of the aneurysm to describe the impact of ballooning on hemodynamic flow in the aorta with aortic aneurysm and dissection disorders. We find that cumulative accretion of potential energy contributes to the creation of bright soliton in non-ballooned regions. The wave speed is minimum at the center of the ballooned region and maximum at the center of the non-ballooned region of the aorta. Interactions of topological defects and multi-breathers cause thrombus formation and/or turbulent flow. Interaction between breathers and standing waves is associated with thrombus formation.

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Section: Introductionmentioning

confidence: 99%

Interaction between Conformational Features and Hemodynamic Flows affecting Progression of Aortic Aneurysm and Dissection Disorders

Jadaun¹,

Singh

2022

Preprint

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show abstract

“…increasing and decreasing velocity gradients impact blood flow through entire vascular system. Hemodynamic instabilities and consequent fluid structure alterations are associated with cardiovascular diseases [1][2][3]. Human physiological flow characteristics such as elasticity, non-Newtonian behavior and complex three-dimensional geometry add difficulties to assess pulsatile flows and transition from laminar to turbulent flow.…”

Section: Introductionmentioning

confidence: 99%

The Impact of a Bulge on Haemodynamics in an Elastic Compliant Artery

Jadaun¹

2022

Preprint

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The arterial vascular system exchanges blood gases using pulmonary capabilities. In humans, hemodynamic flows are subjected to periodic velocity modulations. Fluid mechanics and transport of blood gases play an important role in understanding how constitutive relations of the arterial system contribute to human functioning within physiological limits. Assuming the hemodynamic system as a finite dissipative system, the nonlinear evolution equation is perused to understand dynamical challenges under physiological conditions. The infinitesimal component of the vessel wall with concentric thickening in tunica media is considered as a nonaxisymmetric bulge in an elastic-compliant artery. Using the Lie group of transformations method, we discuss the implications of traveling wave solutions to describe their impact on hemodynamic flow in an elastic-compliant artery. We find that cumulative accretion of potential energy contributes to the creation of bright soliton at the apex of the bulge. The wave speed is maximum at the peak of the bulge and progressively retards with the antegrade flow.

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Lie symmetry approach to study the impact of a bulge on hemodynamics in an elastic‐compliant artery

Jadaun¹

2023

Math Methods in App Sciences

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Fluid mechanics and the transport of blood gases play an important role in understanding how constitutive relations of the arterial system contribute to human functioning within physiological limits. Assuming the hemodynamic system as a finite dissipative system, the nonlinear evolution equation is perused to understand dynamical challenges under physiological conditions. The infinitesimal component of the vessel wall with concentric thickening in tunica media is considered a nonaxisymmetric bulge in an elastic‐compliant artery. Using the Lie group of transformations method, the implications of traveling wave solutions to describe its impact on hemodynamic flow in an elastic‐compliant artery are discussed. The cumulative accretion of potential energy contributes to the creation of bright soliton at the apex of the bulge.

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Impact of solitons on the progression of initial lesion in aortic dissection

Cited by 8 publications

References 64 publications

Interaction between Conformational Features and Hemodynamic Flows affecting Progression of Aortic Aneurysm and Dissection Disorders

Interaction between Conformational Features and Hemodynamic Flows affecting Progression of Aortic Aneurysm and Dissection Disorders

The Impact of a Bulge on Haemodynamics in an Elastic Compliant Artery

Lie symmetry approach to study the impact of a bulge on hemodynamics in an elastic‐compliant artery

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