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The mathematical modeling of the oxygen and nutrient transportation in blood arteries Cblood (x,t) is investigated in this study and creating program by using Python and Google Colabfor observing. Developing a mathematical model that explains blood flow and the diffusion of oxygen and nutrients over the walls of blood arteries in tissues takes front stage. The model considers the physical characteristics of the circulatory system as well as their interaction with the body's tissues: pressure, blood flow velocity, concentrations of oxygen O (x,t) and nutrients N(x,t). The primary objective of the effort is to construct an efficient model that will improve the knowledge of hemodynamic processes and support the evolution of techniques for cardiovascular disease diagnosis and treatment. Many cardiovascular and systemic disorders may be linked to hampered oxygen and nutrient movement in blood vessels. Often involving disturbed blood flow, limited oxygen availability to tissues, or poor nutrient diffusion, these disorders cause major health problems. Some important diseases connected to such disabilities are: Atherosclerosis, Ischemic Heart Disease (Coronary Artery Disease), Peripheral ArteryDisease (PAD), Diabetes Mellitus, Chronic Obstructive Pulmonary Disease (COPD), Heart Failure, Anemia, Septic Shock, Vascular Dementia

  • Read count 44
  • Date of publication 10-12-2024
  • Main LanguageIngliz
  • Pages18-30
English

The mathematical modeling of the oxygen and nutrient transportation in blood arteries Cblood (x,t) is investigated in this study and creating program by using Python and Google Colabfor observing. Developing a mathematical model that explains blood flow and the diffusion of oxygen and nutrients over the walls of blood arteries in tissues takes front stage. The model considers the physical characteristics of the circulatory system as well as their interaction with the body's tissues: pressure, blood flow velocity, concentrations of oxygen O (x,t) and nutrients N(x,t). The primary objective of the effort is to construct an efficient model that will improve the knowledge of hemodynamic processes and support the evolution of techniques for cardiovascular disease diagnosis and treatment. Many cardiovascular and systemic disorders may be linked to hampered oxygen and nutrient movement in blood vessels. Often involving disturbed blood flow, limited oxygen availability to tissues, or poor nutrient diffusion, these disorders cause major health problems. Some important diseases connected to such disabilities are: Atherosclerosis, Ischemic Heart Disease (Coronary Artery Disease), Peripheral ArteryDisease (PAD), Diabetes Mellitus, Chronic Obstructive Pulmonary Disease (COPD), Heart Failure, Anemia, Septic Shock, Vascular Dementia

Author name position Name of organisation
1 Nurjabova D.. Phd student Tashkent University of Information Technologies
Name of reference
1 1.Perdikaris, Paris, and George Em Karniadakis. "Fractional-order viscoelasticity in one-dimensional blood flow models."Annals of biomedical engineering42 (2014): 1012-1023.2.Van de Vosse, F. N., & Stergiopulos, N. (2011). Pulse wave propagation in the arterial tree.Annual Review of Fluid Mechanics,43(1), 467-499.3.Reymond, Philippe, Fabrice Merenda, FabiennePerren, Daniel Rufenacht, and Nikos Stergiopulos. "Validation of a one-dimensional model of the systemic arterial tree."American Journal of Physiology-Heart and Circulatory Physiology297, no. 1 (2009): H208-H222.4.Xiao, Nan, Jordi Alastruey, and C. Alberto Figueroa. "A systematic comparison between 1‐D and 3‐D hemodynamics in compliant arterial models."International journal for numerical methods in biomedical engineering30, no. 2 (2014): 204-231.5.Boileau, Etienne, et al. "A benchmark study of numerical schemes for one‐dimensional arterial blood flow modelling."International journal for numerical methods in biomedical engineering31.10 (2015): e02732.6.Alastruey, J., Charlton, P. H., Bikia, V., Paliakaite, B., Hametner, B., Bruno, R. M., ... & Westerhof, B. E. (2023). Arterial pulse wave modeling and analysis for vascular-age studies: a review from VascAgeNet.American Journal of Physiology-Heart and Circulatory Physiology,325(1), H1-H29.7.Alastruey, J., Parker, K.H. and Sherwin, S.J., 2012, October. Arterial pulse wave haemodynamics. In11th international conference on pressure surges(Vol. 30, pp. 401-443). Lisbon, Portugal: Virtual PiE Led t/a BHR Group.8.Qureshi, M. Umar, Gareth DA Vaughan, Christopher Sainsbury, Martin Johnson, Charles S. Peskin, Mette S. Olufsen, and N. A. Hill. "Numerical simulation of blood flow and pressure drop in the pulmonary arterial and venous circulation."Biomechanics and modeling in mechanobiology13, no. 5 (2014): 1137-1154.9.Zhao, T. Y., Johnson, E. M., Elisha, G., Halder, S., Smith, B. C., Allen, B. D., ... & Patankar, N. A. (2023). Blood–wall fluttering instability as a physiomarker of the progression of thoracic aortic aneurysms.Nature Biomedical Engineering,7(12), 1614-1626.10.DeVault, K., Gremaud, P. A., Novak, V., Olufsen, M. S., Vernieres, G., & Zhao, P. (2008). Blood flow in the circle of Willis: modeling and calibration.Multiscale Modeling & Simulation,7(2), 888-909.11.Huberts, W., A. S. Bode, W. Kroon, R. N. Planken, J. H. M. Tordoir, F. N. Van de Vosse, and E. M. H. Bosboom. "A pulse wave propagation model to support decision-making in vascular access planning in the clinic."Medical engineering & physics34, no. 2 (2012): 233-248.12.Raghu, R., Vignon-Clementel, I. E., Figueroa, C. A., & Taylor, C. A. (2011). Comparative study of viscoelastic arterial wall models in nonlinear one-dimensional finite element simulations of blood flow.13.Wéber, R., Gyürki, D., & Paál, G. (2023). First blood: An efficient, hybrid one‐and zero‐dimensional, modular hemodynamic solver.International Journal for Numerical Methods in Biomedical Engineering,39(5), e3701.
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