bebi 21(3): e4

Research Article

Non-linear dynamics of morphogenetic renal branching and Bifurcation analysis of chaotic patterns in autoregulation mechanisms

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  • @ARTICLE{10.4108/eai.14-7-2021.170294,
        author={Amareswara Prasad Chunduru},
        title={Non-linear dynamics of morphogenetic renal branching and Bifurcation analysis of chaotic patterns in autoregulation mechanisms},
        journal={EAI Endorsed Transactions on Bioengineering and Bioinformatics},
        volume={1},
        number={3},
        publisher={EAI},
        journal_a={BEBI},
        year={2021},
        month={7},
        keywords={Non-linear Dynamics, Renal hemodynamics, Renal Autoregulation, Fractals},
        doi={10.4108/eai.14-7-2021.170294}
    }
    
  • Amareswara Prasad Chunduru
    Year: 2021
    Non-linear dynamics of morphogenetic renal branching and Bifurcation analysis of chaotic patterns in autoregulation mechanisms
    BEBI
    EAI
    DOI: 10.4108/eai.14-7-2021.170294
Amareswara Prasad Chunduru1,*
  • 1: Student, J.R.N. Rajasthan Vidyapeeth University, Udaipur, India
*Contact email: amarscorner@gmail.com

Abstract

INTRODUCTION: Modelling of kidney physiology can add to comprehension of its work by formalizing existing information into numerical conditions and computational methods. The study evaluates the mathematical models that have been created to comprehend kidney physiology and pathophysiology.

OBJECTIVE: Kidneys play a critical role in maintaining the body's water balance, electrolyte equilibrium, and acid-base balance, Through current knowledge with numerical models and computational methods, kidney physiology modeling will improve understanding of kidney function.

METHOD: A L-System fractal system is designed to develop symmetrical branching tree systems that can fuse the physiological concepts of arterial tree branching to find the efficiency of blood flow in the renal arterial tree. Hopf Bifurcation analysis is also performed on mathematical models of autoregulation mechanisms that evaluate kidney physiology and glomerular filtration.

RESULT: Because of the fractal structure of arterial branching, the flow rate is reduced in line with Strahler's order, so that work required (energy loss) is minimized to the cube root of flow rate. According to bifurcation analysis, mean arterial pressures between 70 and 100 mmHg can cause glomerulosclerosis, and a high gain in TGF signal can cause Limit cycle oscillations.

CONCLUSION: The study concludes that nature has developed an optimal way of transferring blood from the Aorta to the Capillary bed by an evolutionary process such that the energy loss along the pathway is progressively reduced. Bifurcation analysis concludes that long and sustained oscillations due to underlying conditions such as diabetes, hypertension can lead to kidney damage.