Parameter identification for nonlocal phase field models for tumor growth via optimal control and asymptotic analysis

JOURNAL ARTICLE published November 2021 in Mathematical Models and Methods in Applied Sciences

Research funded by Austrian Science Fund (M 2876)

Authors: Elisabetta Rocca | Luca Scarpa | Andrea Signori

Optimal treatment for a phase field system of Cahn-Hilliard type modeling tumor growth by asymptotic scheme

JOURNAL ARTICLE published 2019 in Mathematical Control & Related Fields

Authors: Andrea Signori | ,Dipartimento di Matematica e Applicazioni, Università di Milano–Bicocca, via Cozzi 55, 20125 Milano, Italy

Asymptotic Stability of the Stationary Solution for a Hyperbolic Free Boundary Problem Modeling Tumor Growth

JOURNAL ARTICLE published January 2008 in SIAM Journal on Mathematical Analysis

Authors: Shangbin Cui

Asymptotic Stability of the Stationary Solution for a Parabolic-Hyperbolic Free Boundary Problem Modeling Tumor Growth

JOURNAL ARTICLE published January 2013 in SIAM Journal on Mathematical Analysis

Authors: Shangbin Cui

A hyperbolic free boundary problem modeling tumor growth: Asymptotic behavior

JOURNAL ARTICLE published 20 July 2005 in Transactions of the American Mathematical Society

Authors: Xinfu Chen | Shangbin Cui | Avner Friedman

Asymptotic behaviour for a problem arising in the optimal control theory

JOURNAL ARTICLE published October 1980 in Journal of Mathematical Analysis and Applications

Authors: Mimma De Acutis

Fractional modeling for prey and predator problem by using optimal homotopy asymptotic method

JOURNAL ARTICLE published 30 September 2020 in International Journal of Applied Mathematical Research

Authors: Jafar Biazar | Saghi Safaei | Martin Tango

Feedback Optimality Condition for Nonconvex Discrete Linear-Quadratic Optimal Control Problem

JOURNAL ARTICLE published 21 December 2021 in System Analysis & Mathematical Modeling

Authors: Stepan Sorokin

The asymptotic solution of an optimal-control problem

JOURNAL ARTICLE published 1976 in Ukrainian Mathematical Journal

Authors: A. P. Velikii | V. S. Korolyuk

Asymptotic analysis of Neumann periodic optimal boundary control problem

JOURNAL ARTICLE published October 2016 in Mathematical Methods in the Applied Sciences

Authors: Akambadath Nandakumaran | Ravi Prakash | Bidhan Chandra Sardar

An Optimal Control Problem with the Small Parameter

JOURNAL ARTICLE published May 2004 in Journal of Mathematical Sciences

Authors: S. M. Nikol'skii

Optimal control of Markov jump processes: Asymptotic analysis, algorithms and applications to the modeling of chemical reaction systems

JOURNAL ARTICLE published 2018 in Communications in Mathematical Sciences

Authors: Wei Zhang | Carsten Hartmann | Max von Kleist

Asymptotic analysis of an interior optimal control problem governed by Stokes equations

JOURNAL ARTICLE published 15 January 2023 in Mathematical Methods in the Applied Sciences

Research funded by Ministry of Education, India (PMRF‐2900953) | Science and Engineering Research Board (SRG/2019/000997)

Authors: Swati Garg | Bidhan Chandra Sardar

Optimal Consumption Models in Economic Growth

BOOK CHAPTER published 29 January 2010 in Stochastic Control and Mathematical Modeling

ON THE ASYMPTOTIC BEHAVIOR OF EIGENVALUES AND EIGENFUNCTIONS OF THE ROBIN PROBLEM WITH LARGE PARAMETER

JOURNAL ARTICLE published 11 January 2017 in Mathematical Modelling and Analysis

Authors: Alexey V. Filinovskiy

Asymptotic Stability of Stationary Solutions of a Free Boundary Problem Modeling the Growth of Tumors with Fluid Tissues

JOURNAL ARTICLE published January 2009 in SIAM Journal on Mathematical Analysis

Authors: Junde Wu | Shangbin Cui

ASYMPTOTIC EXPANSION OF A SOLUTION FOR ONE SINGULARLY PERTURBED OPTIMAL CONTROL PROBLEM IN RnRn WITH A CONVEX INTEGRAL QUALITY INDEX

JOURNAL ARTICLE published 2017 in Ural mathematical journal

Authors: Alexander A. Shaburov

ASYMPTOTIC EXPANSION OF A SOLUTION FOR THE SINGULARLY PERTURBED OPTIMAL CONTROL PROBLEM WITH A CONVEX INTEGRAL QUALITY INDEX AND SMOOTH CONTROL CONSTRAINTS

JOURNAL ARTICLE published 2018 in Ural mathematical journal

Authors: Alexander A. Shaburov | Ural Federal University, Ekaterinburg, Russia

Asymptotic analysis of a boundary optimal control problem on a general branched structure

JOURNAL ARTICLE published December 2019 in Mathematical Methods in the Applied Sciences

Research funded by Department of Science and Technology, Government of India (MTR/2017/000087)

Authors: S. Aiyappan | A. K. Nandakumaran | Abu Sufian

Bifurcation solutions of a free boundary problem modeling tumor growth with angiogenesis

JOURNAL ARTICLE published December 2018 in Journal of Mathematical Analysis and Applications

Research funded by National Natural Science Foundation of China (11571381)

Authors: Shangbin Cui | Yuehong Zhuang