Abstract

A three-dimensional nonlinear viscous mathematical model with free moving boundaries will be introduced and a novel numerical method will be developed to solve the model to study blood flow in collapsible carotid arteries with stenoses. The numerical method uses solutions of the longwave asymptotic expansions as the numerical initial condition and a boundary-iterative method to find the unknown moving boundary and the flow velocity and pressure. The laboratory experiments and in vivo measurements from concurrent project by Dr. Ku at Georgia Tech will provide data for the formulation and verification of the mathematical model. The validated model together with its numerical solutions will form a basis for many further investigations of the collapsing process. While physiological dimensions of the carotid arteries and related parameter ranges will be used in the computations and experiments, the methods developed in this project will be equally applicable to a broad range of applications where free moving boundaries are involved.

  Funding Agency

Agency
National Institute of Health (NIH)
Institute
National Center for Research Resources (NCRR)
Type
Biotechnology Resource Grants (P41)
Project #
5P41RR006009-07
Application #
5225319
Study Section
Project Start
Project End
Budget Start
Budget End
Support Year
7
Fiscal Year
1996
Total Cost
Indirect Cost

  Publications

Simakov, Nikolay A; Kurnikova, Maria G (2018) Membrane Position Dependency of the pKa and Conductivity of the Protein Ion Channel. J Membr Biol 251:393-404
Yonkunas, Michael; Buddhadev, Maiti; Flores Canales, Jose C et al. (2017) Configurational Preference of the Glutamate Receptor Ligand Binding Domain Dimers. Biophys J 112:2291-2300
Hwang, Wonmuk; Lang, Matthew J; Karplus, Martin (2017) Kinesin motility is driven by subdomain dynamics. Elife 6:
Earley, Lauriel F; Powers, John M; Adachi, Kei et al. (2017) Adeno-associated Virus (AAV) Assembly-Activating Protein Is Not an Essential Requirement for Capsid Assembly of AAV Serotypes 4, 5, and 11. J Virol 91:
Subramanian, Sandeep; Chaparala, Srilakshmi; Avali, Viji et al. (2016) A pilot study on the prevalence of DNA palindromes in breast cancer genomes. BMC Med Genomics 9:73
Ramakrishnan, N; Tourdot, Richard W; Radhakrishnan, Ravi (2016) Thermodynamic free energy methods to investigate shape transitions in bilayer membranes. Int J Adv Eng Sci Appl Math 8:88-100
Zhang, Yimeng; Li, Xiong; Samonds, Jason M et al. (2016) Relating functional connectivity in V1 neural circuits and 3D natural scenes using Boltzmann machines. Vision Res 120:121-31
Lee, Wei-Chung Allen; Bonin, Vincent; Reed, Michael et al. (2016) Anatomy and function of an excitatory network in the visual cortex. Nature 532:370-4
Murty, Vishnu P; Calabro, Finnegan; Luna, Beatriz (2016) The role of experience in adolescent cognitive development: Integration of executive, memory, and mesolimbic systems. Neurosci Biobehav Rev 70:46-58
Luo, Fujun; Dittrich, Markus; Cho, Soyoun et al. (2015) Transmitter release is evoked with low probability predominately by calcium flux through single channel openings at the frog neuromuscular junction. J Neurophysiol 113:2480-9

Showing the most recent 10 out of 292 publications