Modelling the internalization of labelled cells in tumour spheroids
From MaRDI portal
Publication:886682
DOI10.1006/bulm.1999.0089zbMath1323.92110OpenAlexW2047633460WikidataQ50907684 ScholiaQ50907684MaRDI QIDQ886682
Publication date: 27 October 2015
Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/bulm.1999.0089
Related Items
Analysis of a free boundary problem for tumor growth in a periodic external environment ⋮ Analysis of a time-delayed mathematical model for solid avascular tumor growth under the action of external inhibitors ⋮ A time-delayed mathematical model for tumor growth with the effect of a periodic therapy ⋮ A hyperbolic free boundary problem modeling tumor growth: Asymptotic behavior ⋮ Cell cycle control and bifurcation for a free boundary problem modeling tissue growth ⋮ Analysis of a free boundary problem for solid avascular tumor growth with a time delay in regulatory apoptosis ⋮ Analysis of a mathematical model for tumor growth under indirect effect of inhibitors with time delay in proliferation ⋮ Hopf bifurcation of a free boundary problem modeling tumor growth with two time delays ⋮ A multiscale model for heterogeneous tumor spheroid in vitro ⋮ A free boundary problem for necrotic tumor growth with angiogenesis ⋮ Stability of solutions to a mathematical model for necrotic tumor growth with time delays in proliferation ⋮ Analysis of a free boundary problem for vascularized tumor growth with a necrotic core and time delays ⋮ Analysis of a solid avascular tumor growth model with time delays in proliferation process ⋮ Global stability of solutions to a free boundary problem of ductal carcinoma in situ ⋮ Qualitative analysis of a free boundary problem for tumor growth under the action of periodic external inhibitors ⋮ ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES ⋮ Global existence and uniqueness of solutions for a free boundary problem modeling the growth of tumors with a necrotic core and a time delay in process of proliferation ⋮ Existence and uniqueness of the global solution for a mathematical model of the use of macrophages in tumor medicine ⋮ Analysis of a time-delayed mathematical model for tumour growth with inhibitors ⋮ Qualitative analysis of a delayed free boundary problem for tumor growth under the effect of inhibitors ⋮ Hopf bifurcation of a mathematical model for growth of tumors with an action of inhibitor and two time delays ⋮ Analysis of a free boundary problem modeling the growth of nonnecrotic tumors with time delays in proliferation ⋮ Analysis of a delayed mathematical model for tumor growth ⋮ A free boundary problem for a singular system of differential equations: An application to a model of tumor growth ⋮ Analysis for a free boundary problem modeling tumor therapy ⋮ A multilevel approach to cancer growth modeling ⋮ Global existence for a parabolic-hyperbolic free boundary problem modelling tumor growth ⋮ Analysis of a free boundary problem for tumor growth with angiogenesis and time delays in proliferation ⋮ Analysis of necrotic core formation in angiogenic tumor growth ⋮ Global asymptotic stability of positive steady states of a solid avascular tumor growth model with time delays ⋮ Qualitative analysis of a time-delayed free boundary problem for tumor growth with angiogenesis and Gibbs-Thomson relation ⋮ Analysis of a delayed free boundary problem with application to a model for tumor growth of angiogenesis ⋮ Global well-posedness for a drug transport model in tumor multicell spheroids ⋮ Bifurcation of a Mathematical Model for Tumor Growth with Angiogenesis and Gibbs–Thomson Relation
