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We investigate noise-induced pattern formation in a model of cancer growth based on Michaelis-Menten kinetics, subject to additive and multiplicative noises. We analyse stability properties of the system and discuss the role of diffusion…

Cell Behavior · Quantitative Biology 2007-05-23 Anna Ochab-Marcinek

The physics of solid tumor growth can be considered at three distinct size scales: the tumor scale, the cell-extracellular matrix (ECM) scale and the sub-cellular scale. In this paper we consider the tumor scale in the interest of…

Cell Behavior · Quantitative Biology 2010-04-27 H Narayanan , S N Verner , K. L. Mills , R. Kemkemer , K. Garikipati

We consider two minimal mathematical models for cancer dynamics and self-adaptation. We aim to capture the interplay between the rapid progression of cancer growth and the possibility to leverage and enhance self-adaptive defense mechanisms…

Adaptation and Self-Organizing Systems · Physics 2025-03-27 Christian Kuehn

The recent advances in cancer immunotherapy boosted the development of tumor-immune system models aiming to provide mechanistic understanding and indicate more efficient treatment regimes. However, the complexity of such models, their…

Dynamical Systems · Mathematics 2023-09-18 Dimitrios G. Patsatzis

Immunotherapy constitutes a paradigm shift in cancer treatment. Its FDA approval for several indications has yielded improved prognosis for cases where traditional therapy has shown limited efficiencey. However, many patients still fail to…

Medical Physics · Physics 2023-08-08 Nikita Vladimirov , Or Perlman

We formulate and analyze a mathematical model describing immune response to avascular tumor under the influence of immunotherapy and chemotherapy and their combinations as well as vaccine treatments. The effect of vaccine therapy is…

Cell Behavior · Quantitative Biology 2008-10-15 O. G. Isaeva , V. A. Osipov

Colorectal Cancer (CRC) is the second most common cause of cancer death in the world, ad can be identified by the location of the primary tumor in the large intestine: right and left colon, and rectum. Based on the location, CRC shows…

Tissues and Organs · Quantitative Biology 2023-08-22 Zahra Mokhtari , Elham Amjadi , Hamidreza Bolhasani , Zahra Faghih , AmirReza Dehghanian , Marzieh Rezaei

The characterization of Tumor MicroEnvironment (TME) is challenging due to its complexity and heterogeneity. Relatively consistent TME characteristics embedded within highly specific tissue features, render them difficult to predict. The…

Computer Vision and Pattern Recognition · Computer Science 2024-07-09 Fangliangzi Meng , Hongrun Zhang , Ruodan Yan , Guohui Chuai , Chao Li , Qi Liu

The dispersal of cells from an initially constrained location is a crucial aspect of many physiological phenomena ranging from morphogenesis to tumour spreading. In such processes, the way cell-cell interactions impact the motion of single…

Clinical studies have indicated that in malignant surveillances fluctuations in the population of certain effector T-cell repertoire become suppressed. Motivated by such observations and in an attempt to quantify adaptive human response to…

Molecular Networks · Quantitative Biology 2015-05-19 Susmita Roy , Biman Bagchi

The intratumor heterogeneity has been recognized to characterize cancer cells impairing the efficacy of cancer treatments. We here propose an extension of constraint-based modeling approach in order to simulate metabolism of cell…

Quantitative Methods · Quantitative Biology 2016-07-18 M. Di Filippo , C. Damiani , R. Colombo , D. Pescini , G. Mauri

Since the discovery of a cancer initiating side population in solid tumours, studies focussing on the role of so-called cancer stem cells in cancer initiation and progression have abounded. The biological interrogation of these cells has…

Tissues and Organs · Quantitative Biology 2013-08-22 Jacob G. Scott , Prakash Chinnaiyan , Alexander R. A. Anderson , Anita Hjelmeland , David Basanta

Targeted therapeutic interventions utilizing low-inten\-sity ultrasound (LIUS) exhibit substantial potential for hindering the proliferation of cancer stem cells. This investigation introduces a multiscale model and computational framework…

Analysis of PDEs · Mathematics 2024-02-16 B. Blanco , R. Palma , M. Hurtado , G. JimÉnez , C. GriÑÁn-LisÓn , J. Melchor , J. A. Marchal , H. Gomez , G. Rus , J. Soler

We introduce a set of ordinary differential equations (ODE) that qualitatively reproduces delayed responses observed in immune checkpoint blockade therapy (e.g. anti-CTLA-4 Ipilimumab). This type of immunotherapy has been at the forefront…

Dynamical Systems · Mathematics 2021-10-07 Collin Y. Zheng , Peter S. Kim

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

Macrophages function as sentinel, cell-regulatory hubs capable of initiating, perpetuating and contributing to the resolution of an inflammatory response, following their activation from a resting state. Highly complex and varied gene…

Cell Behavior · Quantitative Biology 2011-02-17 Peter Ghazal , Steven Watterson , Kevin Robertson , David C Kluth

Intra-tumour phenotypic heterogeneity limits accuracy of clinical diagnostics and hampers the efficiency of anti-cancer therapies. Dealing with this cellular heterogeneity requires adequate understanding of its sources, which is extremely…

Cancer cells are widely known to be protected from apoptosis, which is a major hurdle to successful anti-cancer therapy. Over-expression of several anti-apoptotic proteins, or mutations in pro-apoptotic factors, has been recognized to…

Molecular Networks · Quantitative Biology 2010-09-14 Subhadip Raychaudhuri

Cancer development is driven by mutations and selective forces, including the action of the immune system and interspecific competition. When administered to patients, anti-cancer therapies affect the development and dynamics of tumours,…

Dynamical Systems · Mathematics 2021-09-30 Elena Piretto , Marcello Delitala , Peter S. Kim , Federico Frascoli

Regulatory T cells (Treg) have recently been identified as playing a central role in allergy and during allergen-specific immunotherapy. We have extended our previous mathematical model describing the nonlinear dynamics of Th1-Th2…

Cell Behavior · Quantitative Biology 2010-03-05 Fridolin Gross , Gerhard Metzner , Ulrich Behn