Modeling tumor growth

DOI10.1016/0025-5564(91)90093-XzbMath0778.92011OpenAlexW2026534839WikidataQ52423210 ScholiaQ52423210MaRDI QIDQ1174545

Calixto P. Calderón, Tor A. Kwembe

Publication date: 25 June 1992

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(91)90093-x

zbMATH Keywords

entropyexistence and uniquenessdiffusion modelmetastasismetabolic rateage-dependent Von Bertalanffy growthmalignant cellmodel of cell proliferationmodelling tumor growthtumor structure

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Population dynamics (general) (92D25) Integral operators (45P05)

Related Items (10)

The method of characteristics applied to a stochastic two-stage model of carcinogenesis ⋮ Conceptual frameworks for mathematical modeling of tumor growth dynamics ⋮ Remembrances and Silhouettes ⋮ Combining Gompertzian growth and cell population dynamics ⋮ Mathematical modeling of bone marrow -- peripheral blood dynamics in the disease state based on current emerging paradigms. II ⋮ Metamodeling tumor-immune system interaction, tumor evasion and immunotherapy ⋮ Dynamic response of cancer under the influence of immunological activity and therapy ⋮ A general framework for modeling tumor-immune system competition and immunotherapy: Mathematical analysis and biomedical inferences ⋮ Combination anti-coronavirus therapies based on nonlinear mathematical models ⋮ The initial boundary value problems for the semilinear diffusion equations with data in L^pspaces

Cites Work

• Unnamed Item
• On estimating the growth function of tumors
• A simplified mathematical model of tumor growth
• A mathematical model of tumor growth. II. Effects of geometry and spatial nonuniformity on stability
• A mathematical model of tumor growth. III. Comparison with experiment
• A stochastic model of tumor growth
• A theory of growth
• Mass transfer in the entrance region of a circular tube
• Mathematical models of tumor growth. IV: Effects of a necrotic core
• Existence of Weak Solutions for the Navier-Stokes Equations with Initial Data in L p
• Addendum to the Paper Ëxistence of Weak Solutions for the Navier-Stokes Equations with Initial Data in L p "
• Almost-periodic behavior of solutions of a nonlinear Volterra system.

This page was built for publication: Modeling tumor growth