Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Search research articles

Related Experiment Video

Updated: Jul 15, 2026

Positron Emission Tomography-based Dose Painting Radiation Therapy in a Glioblastoma Rat Model using the Small Animal Radiation Research Platform

Positron Emission Tomography-based Dose Painting Radiation Therapy in a Glioblastoma Rat Model using the Small Animal Radiation Research Platform

Published on: March 24, 2022

Personalized Spatiotemporal Radiotherapy for GBM: A PDE-Constrained Optimization Study.

Chiu-Yen Kao¹, Seyyed Abbas Mohammadi^2,3, Mohsen Yousefnezhad⁴

¹Department of Mathematical Sciences, Claremont McKenna College, 850 Columbia Ave, Claremont, CA, 91711, United States.

Bulletin of Mathematical Biology

|July 13, 2026

Summary

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Optimal control for anti-abeta treatment in Alzheimer's disease using a reaction-diffusion model.

Journal of the Royal Society, Interface·2026

Same author

Impact of accommodative insufficiency and accommodative/vergence therapy on ciliary muscle thickness in the eye.

Ophthalmic & physiological optics : the journal of the British College of Ophthalmic Opticians (Optometrists)·2023

Same author

Maximal total population of species in a diffusive logistic model.

Journal of mathematical biology·2022

See all related articles

This study introduces a personalized radiotherapy framework for Glioblastoma Multiforme (GBM). It uses daily adaptive treatment targets to potentially improve patient outcomes.

Area of Science:

* Computational oncology
* Mathematical modeling in medicine
* Radiation oncology

Background:

* Glioblastoma Multiforme (GBM) treatment requires precise radiotherapy targeting.
* Standard radiotherapy planning often uses fixed or population-based margins, which may not account for individual tumor dynamics.

Purpose of the Study:

* To develop a personalized optimization framework for spatiotemporal radiotherapy strategies in GBM.
* To create a dynamic treatment region that adapts to daily tumor evolution.
* To explore the potential of PDE-constrained optimization for personalized radiotherapy planning.

Main Methods:

* Modeled GBM tumor dynamics using a reaction-diffusion model on patient-specific brain geometries.
* Formulated treatment as a PDE-constrained optimization problem with daily adaptable targeting regions.

Keywords:

Brain tumor Gradient based algorithm Optimal control Optimal radiotherapy Reaction diffusion equation

More Related Videos

Proton Therapy Delivery and Its Clinical Application in Select Solid Tumor Malignancies

Proton Therapy Delivery and Its Clinical Application in Select Solid Tumor Malignancies

Published on: February 6, 2019

Stereotactic Radiosurgery for Gynecologic Cancer

Stereotactic Radiosurgery for Gynecologic Cancer

Published on: April 17, 2012

Related Experiment Videos

Last Updated: Jul 15, 2026

Positron Emission Tomography-based Dose Painting Radiation Therapy in a Glioblastoma Rat Model using the Small Animal Radiation Research Platform

Positron Emission Tomography-based Dose Painting Radiation Therapy in a Glioblastoma Rat Model using the Small Animal Radiation Research Platform

Published on: March 24, 2022

Proton Therapy Delivery and Its Clinical Application in Select Solid Tumor Malignancies

Proton Therapy Delivery and Its Clinical Application in Select Solid Tumor Malignancies

Published on: February 6, 2019

Stereotactic Radiosurgery for Gynecologic Cancer

Stereotactic Radiosurgery for Gynecologic Cancer

Published on: April 17, 2012

* Implemented an adjoint-driven gradient algorithm with line search and projection for dose constraints.

* Validated the algorithm on a surrogate model before applying to patient data.

Main Results:

* The framework generates patient-specific targeting volumes informed by clinical and radiological parameters.
* The dynamic treatment region adapts to tumor evolution, differing from standard fixed margins.
* Incorporating daily adaptability in optimization can lead to substantially different and potentially more effective treatment targets.

Conclusions:

* Personalized, adaptive radiotherapy planning using PDE-constrained optimization shows promise for GBM treatment.
* The proposed framework offers a novel approach to dynamic treatment target generation.
* Mathematical optimization tools can significantly enhance personalized radiotherapy strategies.