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The phenomenological model for cell shape deformation and cell migration (Chen et.al. 2018; Vermolen and Gefen 2012) is extended with the incorporation of cell traction forces and the evolution of cell equilibrium shapes as a result of cell…

Cell Behavior · Quantitative Biology 2021-04-27 Qiyao Peng , Fred Vermolen , Daphne Weihs

The extracellular space has an ambiguous role in neuroscience. It is present in every physiologically relevant system and often used as a measurement site in experimental recordings, but it has received subordinate attention compared to the…

Neurons and Cognition · Quantitative Biology 2017-05-02 Jurgis Pods

We study a tumor growth model in two space dimensions, where proliferation of the tumor cells leads to expansion of the tumor domain and migration of surrounding normal tissues into the exterior vacuum. The model features two moving…

Analysis of PDEs · Mathematics 2020-02-11 Inwon Kim , Jiajun Tong

Non-small-cell lung cancer (NSCLC) represents approximately 80-85% of lung cancer diagnoses and is the leading cause of cancer-related death worldwide. Recent studies indicate that image-based radiomics features from positron emission…

The transition from the epithelial to mesenchymal phenotype and its reverse (from mesenchymal to epithelial) are crucial processes necessary for the progression and spread of cancer. In this paper, we investigate how phenotypic switching at…

Tissues and Organs · Quantitative Biology 2023-05-25 Zuzanna Szymańska , Mirosław Lachowicz , Nikolaos Sfakianakis , Mark A. J. Chaplain

Employing a novel two-dimensional computational model we have simulated the feedback between angiogenesis and tumor growth dynamics. Analyzing vessel formation and elongation towards the concentration gradient of the tumor-derived…

Tissues and Organs · Quantitative Biology 2007-05-23 Eun Bo Shim , Yoo Seok Kim , Thomas S. Deisboeck

Notch signaling is an evolutionary conserved cell-cell communication pathway. Besides regulating cell-fate decisions at an individual cell level, Notch signaling coordinates the emergent spatiotemporal patterning in a tissue through…

Molecular Networks · Quantitative Biology 2020-05-13 Federico Bocci , Jose Nelson Onuchic , Mohit Kumar Jolly

Lung adenocarcinoma is a morphologically heterogeneous disease, characterized by five primary histologic growth patterns. The quantity of these patterns can be related to tumor behavior and has a significant impact on patient prognosis. In…

Image and Video Processing · Electrical Eng. & Systems 2024-05-17 Arwa Al-Rubaian , Gozde N. Gunesli , Wajd A. Althakfi , Ayesha Azam , Nasir Rajpoot , Shan E Ahmed Raza

The small GTPases Rac and Rho are known to regulate eukaryotic cell shape, promoting front protrusion (Rac) or rear retraction (Rho) of the cell edge. Such cell deformation changes the contact and adhesion of cell to the extracellular…

Cell Behavior · Quantitative Biology 2021-12-15 Elisabeth G. Rens , Leah Edelstein-Keshet

A critical need exists for optimal therapeutic strategies for neuroblastoma, a prevalent and often fatal pediatric solid malignancy. To address the demand for quantitative models that can guide clinical decision-making, a novel mathematical…

Tissues and Organs · Quantitative Biology 2025-11-11 Kate Brockman , Brian Colburn , Joseph Garza , Yidong Liao , B. Veena S. N. Rao

Proliferating cell collectives often develop an active growth layer near their boundary that regulates expansion and morphology, as observed in systems ranging from bacterial biofilms to epithelial tissues and tumor spheroids. While such…

Soft Condensed Matter · Physics 2026-04-27 Fidel Álvarez-Murphy , Ignacio Medina , Néstor Sepúlveda , Gustavo Düring

We study a stochastic epidemic model consisting of elements (organisms in a community or cells in tissue) with fixed positions, in which damage or disease is transmitted by diffusing agents ("signals") emitted by infected individuals. The…

Populations and Evolution · Quantitative Biology 2015-06-05 Fernando P. Faria , Ronald Dickman

The evolutionary transition to multicellularity transformed life on earth, allowing for the evolution of large, complex organisms. While multicellularity can be strongly advantageous, its earliest stages bring unique physical challenges.…

Skin contraction is an important biophysical process that takes place during and after the recovery of deep tissue injury. This process is mainly caused by fibroblasts (skin cells) and myofibroblasts (differentiated fibroblasts) that exert…

Numerical Analysis · Mathematics 2021-05-20 Q. Peng , F. J. Vermolen

Radiation therapy is one of the most common cancer treatments, and dose optimization and targeting of radiation are crucial since both cancerous and healthy cells are affected. Different mathematical and computational approaches have been…

Biological Physics · Physics 2025-11-07 Mirko Bagnarol , Gianluca Lattanzi , Jan Åström , Mikko Karttunen

Microscopic models of reaction-diffusion processes on the cell membrane can link local spatiotemporal effects to macroscopic self-organized patterns often observed on the membrane. Simulation schemes based on the microscopic lattice method…

Subcellular Processes · Quantitative Biology 2019-04-24 Wei-Xiang Chew , Kazunari Kaizu , Masaki Watabe , Sithi V. Muniandy , Koichi Takahashi , Satya N. V. Arjunan

We propose a multiscale chemo-mechanical model of cancer tumour development in an epithelial tissue. The model is based on transformation of normal cells into the cancerous state triggered by a local failure of spatial synchronisation of…

Cell Behavior · Quantitative Biology 2015-12-16 D. A. Bratsun , D. V. Merkuriev , A. P. Zakharov , L. M. Pismen

Causal discovery is becoming a key part in medical AI research. These methods can enhance healthcare by identifying causal links between biomarkers, demographics, treatments and outcomes. They can aid medical professionals in choosing more…

Nonparametric varying coefficient (NVC) models are useful for modeling time-varying effects on responses that are measured repeatedly for the same subjects. When the number of covariates is moderate or large, it is desirable to perform…

Methodology · Statistics 2023-09-19 Ray Bai , Mary R. Boland , Yong Chen

We introduce a minimal multiscale framework that links within-host virus dynamics to population-level SIRS epidemiology through explicit, bidirectional coupling. At the microscopic layer, a two variant quasispecies (master and mutant…

Dynamical Systems · Mathematics 2026-01-28 Juan C. Muñoz-Sánchez , J. Tomás Lázaro , Josep Sardanyés , Santiago F. Elena