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Long-Term Mathematical Model Involving Renal Sympathetic Nerve Activity, Arterial Pressure, and Sodium Excretion

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Abstract

This paper presents a physiological long-term model of the cardiovascular system. It integrates the previous models developed by Guyton, Uttamsingh and Coleman. Additionally it introduces mechanisms of direct effects of the renal sympathetic nerve activity (rsna) on tubular sodium reabsorption and renin secretion in accordance with experimental data from literature. The resulting mathematical model constitutes the first long-term model of the cardiovascular system accounting for the effects of rsna on kidney functions in such detail. The objective of developing such a model is to observe the consequences of long-term rsna increase and impairment of rsna inhibition under volume loading. This model provides an understanding of the rsna-related mechanisms, which cause mean arterial pressure increase in hypertension and total sodium amount increase (sodium retention) in congestive heart failure, nephrotic syndrome and cirrhosis.

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Authors and Affiliations

  1. Institute of Biomedical Engineering, Bogazici University, Turkey

    Fatih Karaaslan & H. Ozcan Gulcur

  2. Electrical and Electronics Engineering Department, Bogazici University, Turkey

    Yagmur Denizhan

  3. Sports Medicine Department, Istanbul Medical Faculty, Istanbul University, Turkey

    Abidin Kayserilioglu

  4. Electrical and Electronics Engineering Department, Bogazici University, Bebek, Istanbul, Turkey, 34242

    Yagmur Denizhan

Authors
  1. Fatih Karaaslan
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  2. Yagmur Denizhan
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  4. H. Ozcan Gulcur
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Correspondence to Yagmur Denizhan.

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Karaaslan, F., Denizhan, Y., Kayserilioglu, A. et al. Long-Term Mathematical Model Involving Renal Sympathetic Nerve Activity, Arterial Pressure, and Sodium Excretion. Ann Biomed Eng 33, 1607–1630 (2005). https://doi.org/10.1007/s10439-005-5976-4

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  • DOI: https://doi.org/10.1007/s10439-005-5976-4

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