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We present a model for the interaction dynamics of lymphocytes-tumor cells population. This model reproduces all known states for the tumor. Futherly,we develop it taking into account periodical immunotheraphy treatment with cytokines…

Mathematical Physics · Physics 2009-11-07 O. Sotolongo-Costa , L. Morales Molina , D. Rodriguez Perez , J. C. Antoranz , M. Chacon Reyes

Most cancers in humans are large, measuring centimeters in diameter, composed of many billions of cells. An equivalent mass of normal cells would be highly heterogeneous as a result of the mutations that occur during each cell division.…

Populations and Evolution · Quantitative Biology 2016-02-17 Bartlomiej Waclaw , Ivana Bozic , Meredith E. Pittman , Ralph H. Hruban , Bert Vogelstein , Martin A. Nowak

Cancer results from genetic alterations that disturb the normal cooperative behavior of cells. Recent high-throughput genomic studies of cancer cells have shown that the mutational landscape of cancer is complex and that individual cancers…

Populations and Evolution · Quantitative Biology 2011-11-10 Niko Beerenwinkel , Tibor Antal , David Dingli , Arne Traulsen , Kenneth W. Kinzler , Victor E. Velculescu , Bert Vogelstein , Martin A. Nowak

Noninvasive in vivo detection of collagen facilitates the investigation of mechanisms by which cancer-associated fibroblast (CAF) regulates the extracellular matrix. This study explored the feasibility of photoacoustic spectrum analysis…

Biological Physics · Physics 2024-10-07 Jiayan Li , Lu Bai , Junmei Cao , Wenxiang Zhi , Qian Cheng

Acquired resistance is one of the major barriers to successful cancer therapy. The development of resistance is commonly attributed to genetic heterogeneity. However, heterogeneity of drug penetration of the tumor microenvironment both on…

Populations and Evolution · Quantitative Biology 2015-08-19 Feng Fu , Martin A. Nowak , Sebastian Bonhoeffer

There are several steps to confirming the safety and efficacy of a new medicine. A sequence of trials, each with its own objectives, is usually required. Quantitative risk metrics can be useful for informing decisions about whether a…

Tumorigenesis is a complex process that is heterogeneous and affected by numerous sources of variability. This study presents a stochastic extension of a biologically grounded tumor growth model, referred to as the Norton-Simon-Massagu\'e…

Tissues and Organs · Quantitative Biology 2019-03-12 Zehor Belkhatir , Michele Pavon , James C. Mathews , Maryam Pouryahya , Joseph O. Deasy , Larry Norton , Allen R. Tannenbaum

Lung cancer is a condition where there is abnormal growth of malignant cells that spread in an uncontrollable fashion in the lungs. Some common treatment strategies are surgery, chemotherapy, and radiation which aren't the best options due…

Computer Vision and Pattern Recognition · Computer Science 2026-03-18 Ann Rachel , Pranav M Pawar , Mithun Mukharjee , Raja M , Tojo Mathew

We present a mathematical analysis of a mixed ODE-PDE model describing the spatial distribution and temporal evolution of tumor and normal cells within a tissue subject to the effects of a chemotherapeutic drug. The model assumes that the…

Analysis of PDEs · Mathematics 2019-02-06 Anderson L. A. de Araujo , Artur C. Fassoni , Luís F. Salvino

Samples of uterine leiomyomatis and normal tissues taken from patients after surgery were investigated using the Positron Annihilation Lifetime Spectroscopy (PALS). Significant differences in all PALS parameters between normal and diseased…

Metastasis, the spread of cancer cells from a primary tumor to secondary location(s) in the human organism, is the ultimate cause of death for the majority of cancer patients. That is why, it is crucial to understand metastases evolution in…

Populations and Evolution · Quantitative Biology 2020-06-24 Maroussia Slavtchova-Bojkova , Kaloyan Vitanov

Theoretical and computational tools that can be used in the clinic to predict neoplastic progression and propose individualized optimal treatment strategies to control cancer growth is desired. To develop such a predictive model, one must…

Cell Behavior · Quantitative Biology 2015-05-20 Salvatore Torquato

Prostate cancer (PCa) is the most frequently diagnosed malignancy in men and the eighth leading cause of cancer death worldwide. Multiparametric MRI (mpMRI) has become central to the diagnostic pathway for men at intermediate risk,…

We studied the single-variable dynamics model of the tumor growth. A first-order phase transition induced by an additive noise is shown to reproduce the main features of tumor growth under immune surveillance. The critical average cells…

Medical Physics · Physics 2007-05-23 Wei-Rong Zhong , Yuan-Zhi Shao , Zhen-Hui He

Detection of minimal residual disease (MRD) in cancer patients after surgery can provide an early marker for disease recurrence and guide subsequent treatment decisions. Accurate and sensitive estimation of tumour burden after cancer…

In the United States, prostate cancer is the second leading cause of deaths in males with a predicted 35,250 deaths in 2024. However, most diagnoses are non-lethal and deemed clinically insignificant which means that the patient will likely…

Machine Learning · Computer Science 2024-11-08 Benjamin Ng , Chi-en Amy Tai , E. Zhixuan Zeng , Alexander Wong

Prostate cancer is one of the most common types of cancer in men. Its diagnosis by biopsy requires a high level of expertise and precision from the surgeon, so the results are highly operator-dependent. The aim of this work is to develop a…

Dynamic Contrast-Enhanced Magnetic Resonance Imaging (DCE-MRI) is a valuable tool to localize, characterize, and evaluate anomalous prostate tissue. Ultrafast gradient-echo acquisitions of MRI volumes are generated at regular time intervals…

Medical Physics · Physics 2017-10-11 Wuilian Torres , Leonardo Cordero , Miguel Martín-Landrove , Antonio Rueda-Toicen

Magnetic resonance imaging (MRI) has become a crucial tool in the diagnosis and staging of prostate cancer, owing to its superior tissue contrast. However, it also creates large volumes of data that must be assessed by trained experts, a…

Image and Video Processing · Electrical Eng. & Systems 2024-06-25 Asmail Muftah , S M Schirmer , Frank C Langbein

Deep neural networks are starting to show their worth in critical applications such as assisted cancer diagnosis. However, for their outputs to get accepted in practice, the results they provide should be explainable in a way easily…

Computer Vision and Pattern Recognition · Computer Science 2025-12-22 Martin Krebs , Jan Obdržálek , Vít Musil , Tomáš Brázdil
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