A mathematics for physiology
- PMID: 6624944
- DOI: 10.1152/ajpregu.1983.245.4.R455
A mathematics for physiology
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.
Similar articles
-
Qualitative mathematical models of endocrine systems.Am J Physiol. 1983 Oct;245(4):R473-7. doi: 10.1152/ajpregu.1983.245.4.R473. Am J Physiol. 1983. PMID: 6353946
-
Chaos and physiology: deterministic chaos in excitable cell assemblies.Physiol Rev. 1994 Jan;74(1):1-47. doi: 10.1152/physrev.1994.74.1.1. Physiol Rev. 1994. PMID: 8295931 Review.
-
Dynamical models for physiology.Am J Physiol. 1983 Oct;245(4):R467-72. doi: 10.1152/ajpregu.1983.245.4.R467. Am J Physiol. 1983. PMID: 6353945
-
[Models of growth, self-reproduction and autoregulation based on consideration of reaction vessels with distensible, semipermeable walls].Biofizika. 1976 Sep-Oct;21(5):773-9. Biofizika. 1976. PMID: 1022233 Russian.
-
[Methodological aspects of the physiology of behavior].Usp Fiziol Nauk. 1978 Jan-Mar;9(1):28-41. Usp Fiziol Nauk. 1978. PMID: 345650 Review. Russian. No abstract available.
Cited by
-
[Mathematical law of cardiac dynamic systems: reduction of its evaluation time to 18 hours].Rev Fac Cien Med Univ Nac Cordoba. 2021 Aug 23;78(3):243-248. doi: 10.31053/1853.0605.v78.n3.25353. Rev Fac Cien Med Univ Nac Cordoba. 2021. PMID: 34617717 Free PMC article. Spanish.
-
Loss of adaptive capacity in asthmatic patients revealed by biomarker fluctuation dynamics after rhinovirus challenge.Elife. 2019 Nov 5;8:e47969. doi: 10.7554/eLife.47969. Elife. 2019. PMID: 31687927 Free PMC article. Clinical Trial.
-
Nonlinear analysis of sleep EEG in depression: calculation of the largest lyapunov exponent.Eur Arch Psychiatry Clin Neurosci. 1995;245(1):27-35. doi: 10.1007/BF02191541. Eur Arch Psychiatry Clin Neurosci. 1995. PMID: 7786909
-
Periodic orbits: a new language for neuronal dynamics.Biophys J. 1998 Jun;74(6):2776-85. doi: 10.1016/S0006-3495(98)77985-8. Biophys J. 1998. PMID: 9635732 Free PMC article.
-
Effects of time-of-day on the concentration of defined excitatory and inhibitory amino acids in the cerebrospinal fluid of rats: a microdialysis study.Amino Acids. 2021 Oct;53(10):1597-1607. doi: 10.1007/s00726-021-03070-z. Epub 2021 Aug 30. Amino Acids. 2021. PMID: 34459991
MeSH terms
LinkOut - more resources
Full Text Sources