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Literature DB >> 14284328

A MATHEMATICAL MODEL OF THE HUMAN RESPIRATORY CONTROL SYSTEM.

H T MILHORN, R BENTON, R ROSS, A C GUYTON.

Abstract

The respiratory system exhibits the properties of a control system of the regulator type. Equations describing this biological control system have been derived. Transient and steady-state solutions for various CO(2) and O(2) step input disturbances were obtained utilizing a digital computer and are compared with experimental results. The effectiveness of the respiratory system as a regulator is investigated. Further extensions of the model are suggested.

Entities: Chemical Species

Keywords: AUTOMATIC DATA PROCESSING; CARBON DIOXIDE; COMPUTERS, DIGITAL; EXPERIMENTAL LAB STUDY; MATHEMATICS; MODELS, THEORETICAL; PHYSIOLOGY; RESPIRATORY SYSTEM

Mesh：

Substances：
Carbon Dioxide

Year: 1965 PMID： 14284328 PMCID： PMC1367706 DOI： 10.1016/s0006-3495(65)86701-7

Source DB: PubMed Journal: Biophys J ISSN： 0006-3495 Impact factor: 4.033

4 in total

1. Cerebral blood flow in the regulation of respiration. (Studies in the regulation of respiration. I.

Authors: J G DEFARES; H E DERKSEN; J W DUYFF
Journal: Acta Physiol Pharmacol Neerl Date: 1960-10

2. Respiratory responses to CO2 inhalation; a theoretical study of a nonlinear biological regulator.

Authors: F S GRODINS; J S GRAY; K R SCHROEDER; A L NORINS; R W JONES
Journal: J Appl Physiol Date: 1954-11 Impact factor: 3.531

3. THE EFFECTS OF ALTERED ARTERIAL TENSIONS OF CARBON DIOXIDE AND OXYGEN ON CEREBRAL BLOOD FLOW AND CEREBRAL OXYGEN CONSUMPTION OF NORMAL YOUNG MEN.

Authors: S S Kety; C F Schmidt
Journal: J Clin Invest Date: 1948-07 Impact factor: 14.808

4. The causes of periodic or Cheyne-Stokes breathing.

Authors: C G Douglas; J S Haldane
Journal: J Physiol Date: 1909-06-15 Impact factor: 5.182

4 in total

11 in total

A MATHEMATICAL MODEL OF THE HUMAN RESPIRATORY CONTROL SYSTEM.

1. Cerebral blood flow in the regulation of respiration. (Studies in the regulation of respiration. I.

2. Respiratory responses to CO2 inhalation; a theoretical study of a nonlinear biological regulator.

3. THE EFFECTS OF ALTERED ARTERIAL TENSIONS OF CARBON DIOXIDE AND OXYGEN ON CEREBRAL BLOOD FLOW AND CEREBRAL OXYGEN CONSUMPTION OF NORMAL YOUNG MEN.

4. The causes of periodic or Cheyne-Stokes breathing.

Review 1. Computational models for the study of heart-lung interactions in mammals.

2. Models of Cheyne-Stokes respiration with cardiovascular pathologies.

3. The effectiveness of the control of pH in the extracellular fluid of the brain by the respiratory control system.

4. Stimulation of paraventricular neurosecretory cells by oxytocin applied iontophoretically.

5. [Mathematical analysis of the respiratory system].

6. Computational expressions for blood oxygen and carbon dioxide concentrations.

Review 7. An integrative model of respiratory and cardiovascular control in sleep-disordered breathing.

8. Frequency-domain analysis of oxygen stores during hypoxia in the goat.

9. [Mathematical simulation of the respiratory system (author's transl)].

10. A mathematical model of the controlled plant of the respiratory system.