Literature DB >> 6624944

A mathematics for physiology.

A Garfinkel.   

Abstract

Nonlinear dynamics gives us a language within which to express the basic concepts of physiology. Form, qualitative change, oscillation, stability, and other biologically important notions find natural expressions in this new mathematical approach. An introduction to qualitative dynamics is sketched, its relevance to physiology is argued, and several examples of its usefulness in providing models and metaphors for describing brain activity are offered.

Mesh：

Year:  1983        PMID： 6624944     DOI： 10.1152/ajpregu.1983.245.4.R455

Source DB:  PubMed          Journal:  Am J Physiol        ISSN： 0002-9513


  16 in total

Review 1.  Nonlinear dynamics in clinical pharmacology: the paradigm of cortisol secretion and suppression.

Authors:  Aristides Dokoumetzidis; Athanassios Iliadis; Panos Macheras
Journal:  Br J Clin Pharmacol       Date:  2002-07       Impact factor: 4.335

Review 2.  Systems dynamics in clinical pharmacokinetics. An introduction.

Authors:  J M van Rossum; J E de Bie
Journal:  Clin Pharmacokinet       Date:  1989-07       Impact factor: 6.447

3.  Investigation of absorption kinetics by the phase plane method.

Authors:  A Dokoumetzidis; P Macheras
Journal:  Pharm Res       Date:  1998-08       Impact factor: 4.200

4.  Periodic orbits: a new language for neuronal dynamics.

Authors:  P So; J T Francis; T I Netoff; B J Gluckman; S J Schiff
Journal:  Biophys J       Date:  1998-06       Impact factor: 4.033

5.  Pharmacokinetics from a dynamical systems point of view.

Authors:  J M van Rossum; J E de Bie; G van Lingen; H W Teeuwen
Journal:  J Pharmacokinet Biopharm       Date:  1989-06

6.  Synchronization of proximal intratubular pressure oscillations: evidence for interaction between nephrons.

Authors:  N H Holstein-Rathlou
Journal:  Pflugers Arch       Date:  1987-05       Impact factor: 3.657

7.  Locking, intermittency, and bifurcations in a periodically driven pacemaker neuron: Poincaré maps and biological implications.

Authors:  O Diez Martinez; P Pérez; R Budelli; J P Segundo
Journal:  Biol Cybern       Date:  1988       Impact factor: 2.086

8.  Simulation of chaotic EEG patterns with a dynamic model of the olfactory system.

Authors:  W J Freeman
Journal:  Biol Cybern       Date:  1987       Impact factor: 2.086

Review 9.  Model identification and estimation of organ-function parameters using radioactive tracers and the impulse-response function.

Authors:  Z Szabó; H Vosberg; C A Sondhaus; L E Feinendegen
Journal:  Eur J Nucl Med       Date:  1985

10.  Shaping Waves of Bone Morphogenetic Protein Inhibition During Vascular Growth.

Authors:  Pierre J Guihard; Yina Guo; Xiuju Wu; Lily Zhang; Jiayi Yao; Medet Jumabay; Yucheng Yao; Alan Garfinkel; Kristina I Boström
Journal:  Circ Res       Date:  2020-08-28       Impact factor: 17.367
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