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A bootstrap percolation process on a graph G is an "infection" process which evolves in rounds. Initially, there is a subset of infected nodes and in each subsequent round every uninfected node which has at least r infected neighbours…

概率论 · 数学 2015-06-30 Hamed Amini , Nikolaos Fountoulakis , Konstantinos Panagiotou

We present a mathematical model that describes how tumour heterogeneity evolves in a tissue slice that is oxygenated by a single blood vessel. Phenotype is identified with the stemness level of a cell, $s$, that determines its proliferative…

细胞行为 · 定量生物学 2023-11-14 Giulia L. Celora , Helen M. Byrne , P. G. Kevrekidis

Accurate tumor segmentation in PET/CT images is crucial for computer-aided cancer diagnosis and treatment. The primary challenge lies in effectively integrating the complementary information from PET and CT images. In clinical settings, the…

图像与视频处理 · 电气工程与系统科学 2025-01-03 Yuxuan Qi , Li Lin , Jiajun Wang , Bin Zhang , Jingya Zhang

For every $\alpha < \frac13$, we construct an explicit divergence-free vector field $\mathbf{b}(t,x)$ which is periodic in space and time and belongs to $C^0_t C^{\alpha}_x \cap C^{\alpha}_t C^0_x$ such that the corresponding scalar…

偏微分方程分析 · 数学 2024-10-11 Scott Armstrong , Vlad Vicol

Colonoscopy is a procedure to detect colorectal polyps which are the primary cause for developing colorectal cancer. However, polyp segmentation is a challenging task due to the diverse shape, size, color, and texture of polyps, shuttle…

图像与视频处理 · 电气工程与系统科学 2021-05-04 Krushi Patel , Andres M. Bur , Guanghui Wang

Regulation of cell proliferation is a crucial aspect of tissue development and homeostasis and plays a major role in morphogenesis, wound healing, and tumor invasion. A phenomenon of such regulation is contact inhibition, which describes…

细胞行为 · 定量生物学 2024-07-01 Steffen Lange , Jannik Schmied , Paul Willam , Anja Voss-Böhme

The majority of cancer treatments end in failure due to Intra-Tumor Heterogeneity (ITH). ITH in cancer is represented by clonal evolution where different sub-clones compete with each other for resources under conditions of Darwinian natural…

Colorectal cancer (CRC) is one of the most common types of cancer with a high mortality rate. Colonoscopy is the preferred procedure for CRC screening and has proven to be effective in reducing CRC mortality. Thus, a reliable computer-aided…

计算机视觉与模式识别 · 计算机科学 2021-09-15 Kaidong Li , Mohammad I. Fathan , Krushi Patel , Tianxiao Zhang , Cuncong Zhong , Ajay Bansal , Amit Rastogi , Jean S. Wang , Guanghui Wang

Cancer is a fatal disease caused by a combination of genetic diseases and a variety of biochemical abnormalities. Lung and colon cancer have emerged as two of the leading causes of death and disability in humans. The histopathological…

图像与视频处理 · 电气工程与系统科学 2022-06-06 Md. Alamin Talukder , Md. Manowarul Islam , Md Ashraf Uddin , Arnisha Akhter , Khondokar Fida Hasan , Mohammad Ali Moni

Cancer patient diagnosis and prognosis is informed by assessment of morphological properties observed in patient tissue. Pathologists normally carry out this assessment, yet advances in computational image analysis provide opportunities for…

We report on a theoretical model for image formation in full-field optical coherence tomography (FFOCT). Because the spatial incoherence of the illumination acts as a virtual confocal pinhole in FFOCT, its imaging performance is equivalent…

While pathology foundation models have transformed cancer image analysis, they often lack integration with molecular data at single-cell resolution, limiting their utility for precision oncology. Here, we present PAST, a pan-cancer…

定量方法 · 定量生物学 2025-07-10 Changchun Yang , Haoyang Li , Yushuai Wu , Yilan Zhang , Yifeng Jiao , Yu Zhang , Rihan Huang , Yuan Cheng , Yuan Qi , Xin Guo , Xin Gao

In order to fulfill cell proliferation and differentiation through cellular hierarchy, stem cells can undergo either asymmetric or symmetric divisions. Recent studies pay special attention to the effect of different modes of stem cell…

种群与进化 · 定量生物学 2020-10-08 Zhijie Wu , Yuman Wang , Kun Wang , Da Zhou

Coherent angular rotation of epithelial cells is thought to contribute to many vital physiological processes including tissue morphogenesis and glandular formation. However, factors regulating this motion, and the implications of this…

Cardiac amyloidosis (CA) is a rare cardiomyopathy, with typical abnormalities in clinical measurements from echocardiograms such as reduced global longitudinal strain of the myocardium. An alternative approach for detecting CA is via neural…

The random motion of molecules in living cells has consistently been reported to deviate from standard Brownian motion, a behavior coined as ``anomalous diffusion''. Fluorescence Correlation Spectroscopy (FCS) is a powerful method to…

Colorectal cancer (CRC) is one of the most commonly diagnosed cancers and a leading cause of cancer deaths in the United States. Colorectal polyps that grow on the intima of the colon or rectum is an important precursor for CRC. Currently,…

图像与视频处理 · 电气工程与系统科学 2019-12-30 Xinzi Sun , Pengfei Zhang , Dechun Wang , Yu Cao , Benyuan Liu

Amorphous graphene or amorphous monolayer carbon (AMC) is a family of carbon films that exhibit a surprising sensitivity of electronic conductance to morphology. We combine deep learning-enhanced simulation techniques with percolation…

介观与纳米尺度物理 · 物理学 2025-04-30 Nicolas Gastellu , Ata Madanchi , Lena Simine

Cox proportional hazard model (CPH) is commonly used in clinical research for survival analysis. In quantitative medical imaging (radiomics) studies, CPH plays an important role in feature reduction and modeling. However, the underlying…