Optimal Control for a Parabolic–Hyperbolic Free Boundary Problem Modeling the Growth of Tumor with Drug Application
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-016-1037-4
Abstract: In this paper, we study two optimal control problems for a free boundary problem, which models tumor growth with drug application. This free boundary problem is a multicellular tumor spheroid model and includes five time-dependent… read more here.
Keywords: control; drug; boundary problem; optimal control ... See more keywords
Moving boundary problem for the detachment in multispecies biofilms
Sign Up to like & getrecommendations! Published in 2018 at "Ricerche di Matematica"
DOI: 10.1007/s11587-017-0333-0
Abstract: The work presents the qualitative analysis of the free boundary value problem related to the detachment process in multispecies biofilms. In the framework of continuum approach to one-dimensional mathematical modelling of multispecies biofilm growth, we… read more here.
Keywords: multispecies biofilms; boundary problem; equation; detachment ... See more keywords
Analysis of a free boundary problem modeling the growth of multicell spheroids with angiogenesis
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2018.03.005
Abstract: Abstract In this paper we study a free boundary problem modeling the growth of vascularized tumors. The model is a modification to the Byrne–Chaplain tumor model that has been intensively studied during the past two… read more here.
Keywords: analysis; problem modeling; boundary problem; problem ... See more keywords
A free boundary problem for an elliptic system
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DOI: 10.1016/j.jde.2021.02.050
Abstract: Abstract We study solutions and the free boundary ∂ { | u | > 0 } of the sublinear system Δ u = λ + ( x ) | u + | q − 1… read more here.
Keywords: elliptic system; system; problem elliptic; free boundary ... See more keywords
On a large time behavior of a solution to a one-dimensional free boundary problem for adsorption phenomena
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2016.06.008
Abstract: Abstract In this paper we consider a one-dimensional free boundary problem describing adsorption phenomena in a porous media. This problem was already proposed and we established a local existence in time and a uniqueness result… read more here.
Keywords: dimensional free; one dimensional; time; boundary problem ... See more keywords
Analysis of a tumor-model free boundary problem with a nonlinear boundary condition
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.05.056
Abstract: Abstract In this paper we study a free boundary problem modeling the growth of nonnecrotic tumors with angiogenesis. This model differs from the other tumor models studied in existing literatures at the point that it… read more here.
Keywords: boundary problem; model; free boundary; analysis ... See more keywords
Boundary problem in Simon’s two-stage clinical trial designs
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Biopharmaceutical Statistics"
DOI: 10.1080/10543406.2016.1148716
Abstract: ABSTRACT The activity of a new treatment in clinical trials with binary endpoints can be assessed by comparing the observed response rate to the target response rate. Traditionally, a one-sided hypothesis is used to make… read more here.
Keywords: problem simon; two stage; property; boundary problem ... See more keywords
Asymptotic stability of a free boundary problem for the growth of multi-layer tumours in the necrotic phase
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DOI: 10.1088/1361-6544/ab15a8
Abstract: In this paper we study a free boundary problem for the growth of multi-layer tumours in the necrotic phase. The tumour region is strip-like and divided into a necrotic region and a proliferating region with… read more here.
Keywords: problem growth; boundary problem; free boundary; boundary ... See more keywords
Global existence for a free boundary problem of Fisher–KPP type
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DOI: 10.1088/1361-6544/ab25af
Abstract: Motivated by the study of branching particle systems with selection, we establish global existence for the solution $(u,\mu)$ of the free boundary problem \[ \begin{cases} \partial_t u =\partial^2_{x} u +u & \text{for $t>0$ and $x>\mu_t$,}\\… read more here.
Keywords: global existence; solution; boundary problem; fisher kpp ... See more keywords
Thermostressed state of a pad–disk tribosystem during single braking
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DOI: 10.3103/s1068366617020027
Abstract: The temperature and stress distributions in a disk under single braking have been studied. The finite-element method (FEM) has been used to obtain a numerical solution to the heat-conduction boundary problem for a steadily decelerated… read more here.
Keywords: single braking; disk; thermostressed state; boundary problem ... See more keywords
Analysis of Solutions to a Free Boundary Problem with a Nonlinear Gradient Absorption
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DOI: 10.3390/sym14081619
Abstract: In this paper, we investigate the blow-up rate and global existence of solutions to a parabolic system with absorption and the free boundary. By using the comparison principle and super-sub solution method, we obtain some… read more here.
Keywords: free boundary; boundary problem; analysis solutions; solutions free ... See more keywords