Optimizing brain tumor treatments using PDE-constrained optimization

S. A. Mohammadi; M. Yousefnezhad

Optimizing brain tumor treatments using PDE-constrained optimization

S. A. Mohammadi (Lead / Corresponding author)
, M. Yousefnezhad

SCI Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

In this paper, we address the challenge of determining optimal treatment strategies to inhibit the growth of brain tumor populations. We utilize a reaction-diffusion model that captures the diffusion and proliferation of tumor cells and formulate a corresponding minimization problem. To identify the optimal treatment strategy, we develop an efficient gradient-based numerical algorithm. Numerical simulations based on this algorithm, applied to a real brain image, validate standard clinical treatment protocols.

Original language	English
Title of host publication	Proceedings of the 10th Seminar on Numerical Analysis and its Applications
Publisher	University of Tabriz
Pages	133-136
Number of pages	4
Publication status	Published - 3 Jul 2024
Event	The 10th Seminar on Numerical Analysis and its Applications 2024 - University of Tabriz, Tabriz, Iran, Islamic Republic of Duration: 3 Jul 2024 → 4 Jul 2024 Conference number: 10 https://snaa10.tabrizu.ac.ir/fa/

Conference

Conference	The 10th Seminar on Numerical Analysis and its Applications 2024
Abbreviated title	snaa10
Country/Territory	Iran, Islamic Republic of
City	Tabriz
Period	3/07/24 → 4/07/24
Internet address	https://snaa10.tabrizu.ac.ir/fa/

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Cite this

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title = "Optimizing brain tumor treatments using PDE-constrained optimization",

abstract = "In this paper, we address the challenge of determining optimal treatment strategies to inhibit the growth of brain tumor populations. We utilize a reaction-diffusion model that captures the diffusion and proliferation of tumor cells and formulate a corresponding minimization problem. To identify the optimal treatment strategy, we develop an efficient gradient-based numerical algorithm. Numerical simulations based on this algorithm, applied to a real brain image, validate standard clinical treatment protocols.",

author = "Mohammadi, \{S. A.\} and M. Yousefnezhad",

year = "2024",

month = jul,

day = "3",

language = "English",

pages = "133--136",

booktitle = "Proceedings of the 10th Seminar on Numerical Analysis and its Applications",

publisher = "University of Tabriz",

note = "The 10th Seminar on Numerical Analysis and its Applications 2024, snaa10 ; Conference date: 03-07-2024 Through 04-07-2024",

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Mohammadi, SA & Yousefnezhad, M 2024, Optimizing brain tumor treatments using PDE-constrained optimization. in Proceedings of the 10th Seminar on Numerical Analysis and its Applications. University of Tabriz, pp. 133-136, The 10th Seminar on Numerical Analysis and its Applications 2024, Tabriz, Iran, Islamic Republic of, 3/07/24. <https://snaa10.tabrizu.ac.ir/fa/news.php?rid=41>

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T1 - Optimizing brain tumor treatments using PDE-constrained optimization

AU - Mohammadi, S. A.

AU - Yousefnezhad, M.

N1 - Conference code: 10

PY - 2024/7/3

Y1 - 2024/7/3

N2 - In this paper, we address the challenge of determining optimal treatment strategies to inhibit the growth of brain tumor populations. We utilize a reaction-diffusion model that captures the diffusion and proliferation of tumor cells and formulate a corresponding minimization problem. To identify the optimal treatment strategy, we develop an efficient gradient-based numerical algorithm. Numerical simulations based on this algorithm, applied to a real brain image, validate standard clinical treatment protocols.

AB - In this paper, we address the challenge of determining optimal treatment strategies to inhibit the growth of brain tumor populations. We utilize a reaction-diffusion model that captures the diffusion and proliferation of tumor cells and formulate a corresponding minimization problem. To identify the optimal treatment strategy, we develop an efficient gradient-based numerical algorithm. Numerical simulations based on this algorithm, applied to a real brain image, validate standard clinical treatment protocols.

M3 - Conference contribution

SP - 133

EP - 136

BT - Proceedings of the 10th Seminar on Numerical Analysis and its Applications

PB - University of Tabriz

T2 - The 10th Seminar on Numerical Analysis and its Applications 2024

Y2 - 3 July 2024 through 4 July 2024

ER -

Optimizing brain tumor treatments using PDE-constrained optimization

Abstract

Conference

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