Diffusion regulated growth characteristics of a spherical prevascular carcinoma

From MaRDI portal
Publication:749469

DOI10.1007/BF02462267zbMath0712.92010OpenAlexW4246187750WikidataQ41201187 ScholiaQ41201187MaRDI QIDQ749469

John A. Adam, Sophia A. Maggelakis

Publication date: 1990

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02462267




Related Items (37)

Micromechanical analysis of volumetric growth in the context of open systems thermodynamics and configurational mechanics. Application to tumor growthON THE EXISTENCE OF SPATIALLY PATTERNED DORMANT MALIGNANCIES IN A MODEL FOR THE GROWTH OF NON-NECROTIC VASCULAR TUMORSMathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutionsPositive feedback and angiogenesis in tumor growth controlGrowth of nonnecrotic tumors in the presence and absence of inhibitorsBifurcation from stability to instability for a free boundary problem modeling tumor growth by Stokes equationThe effect of time delays on the dynamics of avascular tumor growthModelling the role of cell-cell adhesion in the growth and development of carcinomasContinuation along bifurcation branches for a tumor model with a necrotic coreConceptual frameworks for mathematical modeling of tumor growth dynamicsA mathematical model of vascular tumour growth and invasionThe role of growth factors in avascular tumour growthA numerical method based on the moving mesh for the solving of a mathematical model of the avascular tumor growthA simplified model for growth factor induced healing of woundsBifurcation for a free boundary problem modeling the growth of a tumor with a necrotic coreFormation and growth of co-culture tumour spheroids: new compartment-based mathematical models and experimentsIncorporating energy metabolism into a growth model of multicellular tumor spheroidsMathematical model of prevascular growth of a spherical carcinomaTime delays in proliferation process for solid avascular tumourTime delays in regulatory apoptosis for solid avascular tumourModelling the formation of necrotic regions in avascular tumoursGrowth factors and growth control of heterogeneous cell populationsEquilibrium model of a vascularized spherical carcinoma with central necrosis: Some properties of the solutionCell migration in multicell spheroids: Swimming against the tideBifurcation from stability to instability for a free boundary problem arising in a tumor modelA COMPARISON OF THE ROLES OF LOCALISED AND NONLOCALISED GROWTH FACTORS IN SOLID TUMOUR GROWTHMODELLING THREE-DIMENSIONAL GROWTH OF BRAIN TUMOURS FROM TIME SERIES OF SCANSAsymptotic stability for a free boundary problem arising in a tumor modelThe Steady State of Multicellular Tumour Spheroids: A Modelling ChallengeGrowth of necrotic tumors in the presence and absence of inhibitorsA patient-specific in vivo tumor modelA mathematical model to study the effects of drug resistance and vasculature on the response of solid tumors to chemotherapyA three-dimensional angiogenesis model with time-delayA sinc-Galerkin technique for the numerical solution of a class of singular boundary value problemsMODELING THE EVOLUTION OF A TUMORAL MULTICELLULAR SPHEROID AS A TWO-FLUID BINGHAM-LIKE SYSTEMSolid tumour growth analysis of necrotic core formationType \(\alpha\) and type \(\beta\) transforming growth factors as regulators of cancer cellular growth: A mathematical model



Cites Work


This page was built for publication: Diffusion regulated growth characteristics of a spherical prevascular carcinoma