A model of overall regulation of body fluids

A large-scale model of body fluid regulation was presented for the purpose of studying problems concerning body fluid disturbances and fluid therapy. This model, containing subsystems of circulation, respiration, renal function, and intra and extracellular fluid spaces, was described mathematically as a set of nonlinear differential and algebraic equations of more than 200 variables. A special feature is that the respiratory and renal subsystems are combined into one system, so that acid-base disturbances of body fluid can be simulated over a wide range of time scales. Behavior of the model for various kinds of inputs simulated with a digital computer was in good agreement with a number of experimental results pertaining to body fluid and acid-base disorders. The model presented in this paper is considered to have good applicability to some clinical problems and to be a useful framework for physiological experimental research.

[1]  J. Crawford,et al.  Homeostatic limits to safe parenteral fluid therapy. , 1953, The New England journal of medicine.

[2]  Fred S. Grodins,et al.  Parameter sensitivity analysis of a network model of systemic circulatory mechanics , 1974, Annals of Biomedical Engineering.

[3]  F. Rector,et al.  The role of plasma CO2 tension and carbonic anhydrase activity in the renal reabsorption of bicarbonate. , 1960, The Journal of clinical investigation.

[4]  C. Hirshman,et al.  Normal values for hypoxic and hypercapnic ventilaroty drives in man. , 1975, Journal of applied physiology.

[5]  H. Marriott.  Water and Salt Depletion* , 1947, British medical journal.

[6]  R. W. Jones,et al.  Respiratory responses to CO2 inhalation; a theoretical study of a nonlinear biological regulator. , 1954, Journal of applied physiology.

[7]  R. Pitts,et al.  Distribution of sodium bicarbonate infused into nephrectomized dogs. , 1955, The Journal of clinical investigation.

[8]  A. Galbraith.  Water and salt depletion. , 1947, British medical journal.

[9]  R. Pitts,et al.  Neutralization of infused acid by nephrectomized dogs. , 1955, The Journal of clinical investigation.

[10]  R. H. Kellogg,et al.  Influence of CO2 on ventilatory acclimatization to altitude. , 1968, Journal of applied physiology.

[11]  K. Scheel,et al.  Interstitial Fluid Pressure , 1965, Physiological reviews.

[12]  Read Dj,et al.  A clinical method for assessing the ventilatory response to carbon dioxide. , 1967 .

[13]  D. J. Cunningham,et al.  The effect of maintained ammonium chloride acidosis on the relation between pulmonary ventilation and alveolar oxygen and carbon dioxide in man. , 1961, Quarterly journal of experimental physiology and cognate medical sciences.

[14]  J. Burnell,et al.  THE EFFECT IN HUMANS OF EXTRACELLULAR pH CHANGE ON THE RELATIONSHIP BETWEEN SERUM POTASSIUM CONCENTRATION AND INTRACELLULAR POTASSIUM , 1956 .

[15]  H. Marriott.  Water and Salt Depletion* , 1947, British medical journal.

[16]  Fred S. Grodins,et al.  Control Theory and Biological Systems , 1963 .

[17]  J. H. Comroe,et al.  The effect of the inhalation of high and low oxygen concentrations on respiration, pulse rate, ballistocardiogram and arterial oxygen saturation (oximeter) of normal individuals. , 1947, The American journal of physiology.

[18]  T. G. Coleman,et al.  Circulation: overall regulation. , 1972, Annual review of physiology.

[19]  J. O. Davis,et al.  A Steady‐State Control Analysis of the Renin‐Angiotensin‐Aldosterone System , 1972, Circulation research.

[20]  Robert F. Pitts,et al.  Physiology of the Kidney and Body Fluids , 1963 .

[21]  J. Severinghaus,et al.  Comparison of three methods for quantitating respiratory response to hypoxia in man. , 1972, Respiration physiology.

[22]  R. Pitts,et al.  The extrarenal response to acute acid-base disturbances of respiratory origin. , 1955, The Journal of clinical investigation.

[23]  J. Burnell,et al.  The effect in humans of extracellular pH change on the relationship between serum potassium concentration and intracellular potassium. , 1957, The Journal of clinical investigation.

[24]  A. J. Bart,et al.  Mathematical analysis and digital simulation of the respiratory control system. , 1967, Journal of applied physiology.

[25]  E. M. Pantelouris.  CHAPTER 29 – REGULATION OF pH , 1967 .

[26]  J. S. Gray.  Pulmonary ventilation and its physiological regulation , 1950 .

[27]  Moyer Ca.  Fluid and electrolyte balance. , 1947 .

[28]  F E Yates,et al.  Good manners in good modeling: mathematical models and computer simulations of physiological systems. , 1978, The American journal of physiology.

[29]  A. Rebuck,et al.  Ventilatory effects of hypoxia and their dependence on PCO2. , 1975, Journal of applied physiology.

[30]  J. Atherton.  Role of the kidney in acid–base balance , 2006 .

[31]  Y. Abe,et al.  Dissociation between autoregulation of renal blood flow and glomerular filtration rate. , 1970, The American journal of physiology.

[32]  F. Grodins,et al.  Performance characteristics of the right heart bypass preparation. , 1960, The American journal of physiology.

[33]  J. A. Martino,et al.  The effects of infusion of water on renal hemodynamics and the tubular reabsorption of sodium. , 1967, The Journal of clinical investigation.

[34]  D. Read,et al.  A clinical method for assessing the ventilatory response to carbon dioxide. , 1967, Australasian annals of medicine.

[35]  C. Vaamonde,et al.  Potassium homeostasis in chronic diabetes mellitus. , 1977, Archives of internal medicine.

[36]  Kiichi Sagawa,et al.  Comparative Models of Overall Circulatory Mechanics , 1973 .

[37]  M. Rosenfeld.  Manual of medical therapeutics , 1972 .

[38]  A C Guyton,et al.  The interaction between intracapillary and tissue forces in the overall regulation of interstitial fluid volume. , 1973, Lymphology.