Literature DB >> 541577

Delays in physiological systems.

U an der Heiden.   

Abstract

In comparison to most physical or chemical systems, biological systems are of extreme complexity. In addition the time needed for transport or processing of chemical components or signals may be of considerable length. Thus temporal delays have to be incorporated into models leading to differential-difference and functional differential equations rather than ordinary differential equations. A number of examples, on different levels of biological organization, demonstrate that delays can have an influence on the qualitative behavior of biological systems: The existence or non-existence of instabilities and periodic or even chaotic oscillations can entirely depend on the presence of absence of delays with appropriate duration.

Mesh:

Substances:

Year:  1979        PMID: 541577     DOI: 10.1007/BF00275831

Source DB:  PubMed          Journal:  J Math Biol        ISSN: 0303-6812            Impact factor:   2.259


  13 in total

1.  Theory of the response of the limulus retina to periodic excitation.

Authors:  B D Coleman; G H Renninger
Journal:  J Math Biol       Date:  1976-06-30       Impact factor: 2.259

2.  A note on difference-delay equations.

Authors:  S A Levin; R M May
Journal:  Theor Popul Biol       Date:  1976-04       Impact factor: 1.570

3.  Simple mathematical models with very complicated dynamics.

Authors:  R M May
Journal:  Nature       Date:  1976-06-10       Impact factor: 49.962

4.  Some conditions for sustained oscillations in biochemical chains with feedback inhibition.

Authors:  H D Landahl
Journal:  Bull Math Biophys       Date:  1969-12

5.  Mathematics of cellular control processes. I. Negative feedback to one gene.

Authors:  J S Griffith
Journal:  J Theor Biol       Date:  1968-08       Impact factor: 2.691

6.  On tuning and amplification by lateral inhibition.

Authors:  F Ratliff; B W Knight; N Graham
Journal:  Proc Natl Acad Sci U S A       Date:  1969-03       Impact factor: 11.205

Review 7.  Visual control of orientation behaviour in the fly. Part I. A quantitative analysis.

Authors:  W Reichardt; T Poggio
Journal:  Q Rev Biophys       Date:  1976-08       Impact factor: 5.318

8.  Unified hypothesis for the origin of aplastic anemia and periodic hematopoiesis.

Authors:  M C Mackey
Journal:  Blood       Date:  1978-05       Impact factor: 22.113

9.  Oscillatory behavior in enzymatic control processes.

Authors:  B C Goodwin
Journal:  Adv Enzyme Regul       Date:  1965

10.  A quantitative description of the dynamics of excitation and inhibition in the eye of Limulus.

Authors:  B W Knight; J I Toyoda; F A Dodge
Journal:  J Gen Physiol       Date:  1970-10       Impact factor: 4.086

View more
  3 in total

1.  Oscillations and multiple steady states in a cyclic gene model with repression.

Authors:  H Smith
Journal:  J Math Biol       Date:  1987       Impact factor: 2.259

2.  The dynamics of recurrent inhibition.

Authors:  M C Mackey; U an der Heiden
Journal:  J Math Biol       Date:  1984       Impact factor: 2.259

3.  Oscillatory regulation of Hes1: Discrete stochastic delay modelling and simulation.

Authors:  Manuel Barrio; Kevin Burrage; André Leier; Tianhai Tian
Journal:  PLoS Comput Biol       Date:  2006-07-25       Impact factor: 4.475

  3 in total

北京卡尤迪生物科技股份有限公司 © 2022-2023.