Analysis of tumor as an inverse problem provides a novel theoretical framework for understanding tumor biology and therapy

DOI10.1016/S0893-9659(01)00141-0zbMath1015.92019OpenAlexW2129765836WikidataQ113858727 ScholiaQ113858727MaRDI QIDQ1861767

E. T. Gawlinski, Robert A. Gatenby, Philip K. Maini

Publication date: 10 March 2003

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(01)00141-0

zbMATH Keywords

tumor invasiontumor therapytumor host interaction

Mathematics Subject Classification ID

Medical applications (general) (92C50) Inverse problems for PDEs (35R30)

Related Items (8)

Model for acid-mediated tumour invasion with chemotherapy intervention. II: Spatially heterogeneous populations ⋮ A dynamic model of CT scans for quantifying doubling time of ground glass opacities using histogram analysis ⋮ An improved quasi-reversibility method for a terminal-boundary value multi-species model with white Gaussian noise ⋮ Temporally Interruptive Interaction Allows Mutual Invasion of Two Competing Species Dispersing in Space ⋮ Unnamed Item ⋮ Optimisation of Cancer Drug Treatments Using Cell Population Dynamics ⋮ Explicit separation of growth and motility in a new tumor cord model ⋮ A mathematical model of vascular tumor treatment by chemotherapy

Cites Work

• Unnamed Item
• Some mathematical problems concerning the ecological principle of competitive exclusion
• The minimal speed of traveling fronts for a diffusive Lotka-Volterra competition model.
• A survey of models for tumor-immune system dynamics
• Front propagation into unstable states: Universal algebraic convergence towards uniformly translating pulled fronts

This page was built for publication: Analysis of tumor as an inverse problem provides a novel theoretical framework for understanding tumor biology and therapy