A5020157659- Mathematical Biology Tumor Growth
- Mathematical and Theoretical Epidemiology and Ecology Models
- Advanced Mathematical Modeling in Engineering
- Nonlinear Partial Differential Equations
- Microtubule and mitosis dynamics
- Evolution and Genetic Dynamics
- Multi-Criteria Decision Making
- Differential Equations and Numerical Methods
- Stochastic processes and statistical mechanics
- Gene Regulatory Network Analysis
- Evolutionary Game Theory and Cooperation
- Nonlinear Differential Equations Analysis
- Optimization and Mathematical Programming
- Advanced Research in Science and Engineering
- Industrial Technology and Control Systems
- advanced mathematical theories
- Kruppel-like factors research
- Geological Modeling and Analysis
- Stochastic processes and financial applications
- Advanced Measurement and Detection Methods
- Fuzzy Systems and Optimization
- Image and Video Quality Assessment
- Caveolin-1 and cellular processes
- Chemical Reactions and Isotopes
- Fluid Dynamics and Turbulent Flows
Zhaoqing University
2015-2024
Dalian Maritime University
2019
CCCC Wuhan Harbour Engineering Design and Research (China)
2013
Sun Yat-sen University
2008-2011
Sun Yat-sen University Cancer Center
2011
In this paper we study a nonlinear free boundary problem for the growth of radially symmetric tumor with necrotic core. The proliferation cells depends on concentration nutrient which satisfies diffusion equation within and is periodically supplied by external tissues. outer surface inner interface core are both boundaries. We give sufficient necessary condition existence uniqueness positive periodic solution, show it globally asymptotically stable under radial perturbations. Our analysis...
This paper unifies the classical intuitionistic fuzzy additive and multiplicative operations proposes a generalized operation interval-valued operation. In particular, it was proved that on sets (IFSs) are two special cases of newly proposed operation, while IFSs (IVIFSs) one. has three innovation points. First, introduces kinds "intuitionistic preference factors," which key parameters operations. Second, aggregating operator based an factor mean value theorem for integrals. Third, novel...
In this paper we study a free boundaryproblem for the growth of avascular tumors. The establishment model isbased on diffusion nutrient and mass conservation twoprocess proliferation apoptosis(cell death due to aging). It isassumed supply external nutrients is periodic. We mainly thelong time behavior solution, prove that in case $c$is sufficiently small, volume tumor cannot expandunlimitedly. will either disappear or evolve positive periodic state.
A mathematical model for growth of tumors with two discrete delays is studied. The delays, respectively, represent the time taken cells to undergo mitosis and cell modify rate loss due apoptosis kill by inhibitor. We show influence on Hopf bifurcation when one used as a parameter.
In this paper, a time‐delayed free boundary problem for tumor growth under the action of external inhibitors is studied. It assumed that process proliferation delayed compared with apoptosis. By L p theory parabolic equations, Banach fixed point theorem and continuation theorem, existence uniqueness global solution proved. The asymptotic behavior also proof uses comparison principle iteration method. Copyright © 2014 John Wiley & Sons, Ltd.
In this paper we study a delayed free boundaryproblem for the growth of tumors. The establishment model isbased on diffusion nutrient and mass conservation twoprocess proliferation apoptosis(cell death due to aging). It isassumed process is compared toapoptosis. By $L^p$ theory parabolic equations Banachfixed point theorem, prove existence uniqueness alocal solutions apply continuation method get theexistence global solution. We also theasymptotic behavior solution, that in case $c$is...
A time-delayed mathematical model for tumor growth with the effect of periodic therapy is studied. The establishment based on reaction-diffusion dynamics and mass conservation law considered a time delay in cell proliferation process. Sufficient conditions global stability free equilibrium are given. We also prove that if external concentration nutrients large will not disappear under which there exist solutions to determined. Results illustrated by computer simulations.
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In this paper, the existence, uniqueness and exponential stability of almost periodic solutions for a mathematical model tumour growth are studied. The establishment is based on reaction-diffusion dynamics mass conservation law considered with delay in cell proliferation process. Using fixed-point theorem cones, existence different parameter values proved. Moreover, by Gronwall inequality, sufficient conditions established unique solution. Results illustrated computer simulations.
In this paper a free boundary problem for solid avascular tumor growth in periodic external environment is studied. The means that the supply of nutrient and inhibitors periodic. Sufficient conditions global stability equilibrium are given. We also prove if concentration nutrients large, will not disappear. under which there exists unique solution to model determined, we show attractor all other positive solutions.
In this paper we study a free boundary problem for tumor growth with Gibbs-Thomson relation and time delays. It is assumed that the process of proliferation delayed compared apoptosis. The delay represents taken cells to undergo mitosis. By employing stability theory functional differential equations, comparison principle some meticulous mathematical analysis, mainly asymptotic behavior solution, prove in case $c$ (the ratio diffusion scale doubling scale) sufficiently small, volume cannot...
A mathematical model for the growth of solid avascular tumor with time delays in regulatory apoptosis is studied. The existence stationary solutions and mechanism formation necrotic cores tumors are results show that if natural death rate cell exceeds a fixed positive constant, then dormant nonnecrotic; otherwise, necrotic.
Abstract In this article, we study a size-structured population model with infinite states-at-birth and distributed delay in birth process. We establish the well-posedness for show that solution of exhibits an asynchronous exponential growth by means semigroups. Keywords: populationsdistributed delaywell-posednessasynchronous growthsemigroupsAMS Subject Classifications:: 35L0235P99 Acknowledgements The authors are glad to acknowledge their gratefulness anonymous reviewers valuable comments...