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Chemotherapeutic response of cancer cells to a given compound is one of the most fundamental information one requires to design anti-cancer drugs. Recent advances in producing large drug screens against cancer cell lines provided an…

Genomics · Quantitative Biology 2018-07-17 Mehmet Tan , Ozan Fırat Özgül , Batuhan Bardak , Işıksu Ekşioğlu , Suna Sabuncuoğlu

We investigate a multiphase Cahn-Hilliard model for tumor growth with general source terms. The multiphase approach allows us to consider multiple cell types and multiple chemical species (oxygen and/or nutrients) that are consumed by the…

Analysis of PDEs · Mathematics 2022-06-22 Patrik Knopf , Andrea Signori

Background: Gliomas are the most common brain tumors, which vary from low to high-grade. Despite the improvements in imaging techniques in the last decade, all parts of the tumor are not visible in these images, due to having a threshold of…

Other Quantitative Biology · Quantitative Biology 2023-09-06 Farshad Samadifam , Ehsan Ghafourian

In this paper we present a method for estimating unknown parameter that appear on a non-linear reaction-diffusion model of cancer invasion. This model considers that tumor-induced alteration of micro-enviromental pH provides a mechanism for…

Optimization and Control · Mathematics 2014-01-14 Andrés Quiroga , Damián Fernández , Germán Torres , Cristina Turner

The evolutionary and ecological dynamics of tumors under immune responses and therapeutic interventions pose major challenges to long-term treatment success. Although treatment may initially achieve short-term disease control, resistant…

Quantitative Methods · Quantitative Biology 2026-04-03 Nazanin Mokari , Bryce Morsky

We are keenly interested in finding the limiting behaviors of total tumor size when tumor cells are subject to the periodic repetition of therapy and rest periods, called intermittent cyclic therapy. We hypothesize that each tumor cell can…

Tissues and Organs · Quantitative Biology 2023-03-15 Jaewook Joo

This study focuses attention on interstitial microwave hyperthermia, which is a popular medical procedure for treatment of pathological human tissues containing tumors. In the paper, the 2D finite element analysis is used to compare the…

Medical Physics · Physics 2020-08-06 Piotr Gas

Cellular immunotherapies are one of the mainstream cancer treatments unveiling the power of the patient's immune system to fight tumors. CAR T-cell therapy, based on genetically engineered T cells, has demonstrated significant potential in…

Hypoxia-activated prodrugs offer a promising strategy for targeting oxygen-deficient regions in solid tumors, which are often resistant to conventional therapies. However, modeling their behavior is challenging because of the complex…

Numerical Analysis · Mathematics 2025-10-06 Alessandro Coclite , Riccardo Montanelli Eccher , Luca Possenti , Piermario Vitullo , Paolo Zunino

Many thermo-mechanical processes, such as thermal expansion and stress relaxation, originate at the atomistic scale. We develop a sequential multiscale approach to study thermally stressed superelastic polyimide to explore these effects.…

Materials Science · Physics 2025-04-30 Jerome Samuel S , Puneet Kumar Patra , Md Rushdie Ibne Islam

Histological examination is crucial for cancer diagnosis, including hematoxylin and eosin (H&E) staining for mapping morphology and immunohistochemistry (IHC) staining for revealing chemical information. Recently developed two-color…

Tissues and Organs · Quantitative Biology 2023-09-22 Hongli Ni , Chinmayee Prabhu Dessai , Haonan Lin , Wei Wang , Shaoxiong Chen , Yuhao Yuan , Xiaowei Ge , Jianpeng Ao , Nolan Vild , Ji-Xin Cheng

One primary goal of precision medicine is to estimate the individualized treatment rules (ITRs) that optimize patients' health outcomes based on individual characteristics. Health studies with multiple treatments are commonly seen in…

Methodology · Statistics 2025-05-07 Xuqiao Li , Qiuyan Zhou , Ying Wu , Ying Yan

Emerging research has highlighted that artificial intelligence-based multimodal fusion of digital pathology and transcriptomic features can improve cancer diagnosis (grading/subtyping) and prognosis (survival risk) prediction. However, such…

Computer Vision and Pattern Recognition · Computer Science 2026-01-14 Samiran Dey , Christopher R. S. Banerji , Partha Basuchowdhuri , Sanjoy K. Saha , Deepak Parashar , Tapabrata Chakraborti

The acid-mediation hypothesis, that is, the hypothesis that acid produced by tumours, as a result of aerobic glycolysis, provides a mechanism for invasion, has so far been considered as a relatively closed system. The focus has mainly been…

Cell Behavior · Quantitative Biology 2014-12-03 Andrew B. Holder , Marianito R. Rodrigo

We consider a mathematical model for the evolutionary dynamics of tumour cells in vascularised tumours under chemotherapy. The model comprises a system of coupled partial integro-differential equations for the phenotypic distribution of…

Tissues and Organs · Quantitative Biology 2020-06-02 Chiara Villa , Mark A. J. Chaplain , Tommaso Lorenzi

Some clinical and pre-clinical data suggests that treating some tumors at a mild, patient-specific dose might delay resistance to treatment and increase survival time. A recent mathematical model with sensitive and resistant tumor cells…

Dynamical Systems · Mathematics 2022-12-01 Frank Alvarez , Yannick Viossat

Malignant gliomas (MGs), particularly glioblastoma, are among the most aggressive brain tumors, with limited treatment options and a poor prognosis. Maximal safe resection and the so-called Stupp protocol are the standard first-line…

Drug resistance and metastasis - the major complications in cancer - both entail adaptation of cancer cells to stress, whether a drug or a lethal new environment. Intriguingly, these adaptive processes share similar features that cannot be…

Molecular Networks · Quantitative Biology 2021-09-28 Aseel Shomar , Omri Barak , Naama Brenner

The ribosome is one of the largest and most complex macromolecular machines in living cells. It polymerizes a protein in a step-by-step manner as directed by the corresponding nucleotide sequence on the template messenger RNA (mRNA) and…

Statistical Mechanics · Physics 2020-03-11 Annwesha Dutta , Gunter M Schütz , Debashish Chowdhury

The rapidly emerging field of deep learning-based computational pathology has demonstrated promise in developing objective prognostic models from histology whole slide images. However, most prognostic models are either based on histology or…

Computer Vision and Pattern Recognition · Computer Science 2021-08-06 Richard J. Chen , Ming Y. Lu , Drew F. K. Williamson , Tiffany Y. Chen , Jana Lipkova , Muhammad Shaban , Maha Shady , Mane Williams , Bumjin Joo , Zahra Noor , Faisal Mahmood