Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Nonlinear stochastic compartmental models.

M J Faddy1

  • 1Department of Statistics, University of Birmingham.

IMA Journal of Mathematics Applied in Medicine and Biology
|January 1, 1985
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Comparisons of statistical distributions for cluster sizes in a developing pandemic.

BMC medical research methodology·2022
Same author

Influence of a triclosan toothpaste on periodontopathic bacteria and periodontitis progression in cardiovascular patients: a randomized controlled trial.

Journal of periodontal research·2016
Same author

The Relationship Between Variation in Size of the Primordial Follicle Pool and Age at Natural Menopause.

The Journal of clinical endocrinology and metabolism·2015
Same author

The ovarian response to controlled stimulation in IVF cycles may be predictive of the age at menopause.

Human reproduction (Oxford, England)·2014
Same author

The relationship between anti-Müllerian hormone in women receiving fertility assessments and age at menopause in subfertile women: evidence from large population studies.

The Journal of clinical endocrinology and metabolism·2013
Same author

Malaria antibody persistence correlates with duration of exposure.

Vox sanguinis·2012
Same journal

Periodic breathing at high altitude.

IMA journal of mathematics applied in medicine and biology·2003
Same journal

Ticks and tick-borne diseases in Africa: a disease transmission model.

IMA journal of mathematics applied in medicine and biology·2003
Same journal

Is microsatellite mutational asymmetry detectable in allele frequency distributions?

IMA journal of mathematics applied in medicine and biology·2003
Same journal

Dynamic resource allocation for epidemic control in multiple populations.

IMA journal of mathematics applied in medicine and biology·2003
Same journal

A non-linear model for a sexually transmitted disease with contact tracing.

IMA journal of mathematics applied in medicine and biology·2003
Same journal

The stability of internal equilibria in predator-prey models with breeding suppression.

IMA journal of mathematics applied in medicine and biology·2003
See all related articles

Nonlinear transfer functions in compartmental models can significantly alter system variability. Concave functions tend to increase variability, while convex functions decrease it, offering a more nuanced understanding of biological material transfer.

Area of Science:

  • Mathematical biology
  • Systems biology
  • Nonlinear dynamics

Background:

  • Compartmental models are essential tools for analyzing material transfer in biological systems.
  • Linear transfer functions offer mathematical simplicity but may not capture the full complexity of biological processes.
  • Underestimation of variation is a limitation of purely linear models.

Purpose of the Study:

  • To analyze the impact of specific nonlinear transfer functions on variability within compartmental models.
  • To investigate how different forms of nonlinearity affect the dynamics of material transfer.
  • To provide a more accurate representation of biological system variability.

Main Methods:

  • Analysis of compartmental models incorporating nonlinear transfer functions.

Related Experiment Videos

  • Numerical simulations to evaluate the effects of different function shapes (concave and convex).
  • Comparison of variability under linear versus nonlinear transfer assumptions.

    • Main Results:

    • Concave transfer functions were found to increase system variability.
    • Convex transfer functions were observed to decrease system variability.
    • Nonlinearities introduce significant deviations from the predictions of linear models.

    Conclusions:

    • The shape of the transfer function critically influences the variability of compartmental models.
    • Nonlinear transfer functions provide a more realistic framework for modeling biological systems.
    • Understanding these nonlinear effects is crucial for accurate biological system analysis and prediction.