Population Models Structured by Age, Size, and Spatial Position View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2008

AUTHORS

G. F. Webb

ABSTRACT

Population models incorporating age, size, and spatial structure are analyzed. The methods use the theory of semigroups of linear and nonlinear operators in Banach spaces. An illustration is given of a model of tumor growth, with cell age corresponding to the cell cycle, cell size corresponding to cell growth and division, and cell position in space corresponding to cell motility and migration. More... »

PAGES

1-49

References to SciGraph publications

  • 2002-10. Monotone travelling fronts in an age-structured reaction-diffusion model of a single species in JOURNAL OF MATHEMATICAL BIOLOGY
  • 1997. A Survey of Models for Tumor-Immune System Dynamics in NONE
  • 1990-07. Diffusion regulated growth characteristics of a spherical prevascular carcinoma in BULLETIN OF MATHEMATICAL BIOLOGY
  • 2003-10. Relatively Compact Orbits and Compact Attractors for a Class of Nonlinear Evolution Equations in JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS
  • 1998-06. Positivity and Stability for a Population Equation with Diffusion on 1 in POSITIVITY
  • 1980-03. An age-dependent epidemic model with spatial diffusion in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 1984-04. On the stability of the cell size distribution in JOURNAL OF MATHEMATICAL BIOLOGY
  • 1994-12. Semigroup formulation and approximation of a linear age-dependent population problem with spatial diffusion in SEMIGROUP FORUM
  • 1986. The Dynamical Behaviour of the Age-Size-Distribution of a Cell Population in THE DYNAMICS OF PHYSIOLOGICALLY STRUCTURED POPULATIONS
  • 1982-03. Age-dependent population diffusion with external constraint in JOURNAL OF MATHEMATICAL BIOLOGY
  • 1983. Semigroups of Linear Operators and Applications to Partial Differential Equations in NONE
  • 1985-01. Interaction of spatial diffusion and delays in models of genetic control by repression in JOURNAL OF MATHEMATICAL BIOLOGY
  • 1974-09. Non-linear age-dependent population dynamics in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 1990-12. On the semigroups of age-size dependent population dynamics with spatial diffusion in MANUSCRIPTA MATHEMATICA
  • 1986. The Dynamics of Physiologically Structured Populations in NONE
  • 1991-02. Periodic solutions for a population dynamics problem with age-dependence and spatial structure in JOURNAL OF MATHEMATICAL BIOLOGY
  • 2002-11. The steady state of a tumor cord cell population in JOURNAL OF EVOLUTION EQUATIONS
  • 1998-09. Continuous and discrete mathematical models of tumor-induced angiogenesis in BULLETIN OF MATHEMATICAL BIOLOGY
  • 2001-10. A new mathematical model for avascular tumour growth in JOURNAL OF MATHEMATICAL BIOLOGY
  • 2006-01. A structured-population model of Proteus mirabilis swarm-colony development in JOURNAL OF MATHEMATICAL BIOLOGY
  • 2001-09. Mathematical modeling of capillary formation and development in tumor angiogenesis: Penetration into the stroma in BULLETIN OF MATHEMATICAL BIOLOGY
  • 1995-06. A survey of structured cell population dynamics in ACTA BIOTHEORETICA
  • 1979-10. Non-linear age-dependent population diffusion in JOURNAL OF MATHEMATICAL BIOLOGY
  • 1981-01. Equilibrium solutions of age-specific population dynamics of several species in JOURNAL OF MATHEMATICAL BIOLOGY
  • 1988-06. Large time behavior in a nonlinear age-dependent population dynamics problem with spatial diffusion in JOURNAL OF MATHEMATICAL BIOLOGY
  • 2001-08. On the formulation and analysis of general deterministic structured population models II. Nonlinear theory in JOURNAL OF MATHEMATICAL BIOLOGY
  • Book

    TITLE

    Structured Population Models in Biology and Epidemiology

    ISBN

    978-3-540-78272-8
    978-3-540-78273-5

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/978-3-540-78273-5_1

    DOI

    http://dx.doi.org/10.1007/978-3-540-78273-5_1

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1024802622


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