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We study the contact process with stirring on $\mathbb{Z}^d$. In this process, particles occupy vertices of $\mathbb{Z}^d$; each particle dies with rate 1 and generates a new particle at a randomly chosen neighboring vertex with rate…

概率论 · 数学 2015-09-15 Anna Levit , Daniel Valesin

We consider nucleation of amyloid fibrils in the case when the process occurs by the mechanism of direct polymerization of practically fully extended protein segments, i.e. beta-strands, into beta-sheets. Applying the classical nucleation…

生物大分子 · 定量生物学 2010-06-11 Dimo Kashchiev , Stefan Auer

Alzheimer's disease (AD) is a progressive neurodegenerative disorder that severely impairs survival and quality of life. While anti-amyloid beta (Abeta) therapies can slow disease progression, their efficacy depends on personalized dosing…

最优化与控制 · 数学 2025-11-10 Sun Lee , Chiu-Yen Kao , Zhiyuan Li , Tingting Dan , Guorong Wu , Wenrui Hao

Three major biomarkers: beta-amyloid (A), pathologic tau (T), and neurodegeneration (N), are recognized as valid proxies for neuropathologic changes of Alzheimer's disease. While there are extensive studies on cerebrospinal fluids…

定量方法 · 定量生物学 2021-03-09 Qing Liu , Defu Yang , Jingwen Zhang , Ziming Wei , Guorong Wu , Minghan Chen

Alzheimer's disease (AD) persists as a paramount challenge in neurological research, characterized by the pathological hallmarks of amyloid-$\beta$ (A$\beta$) plaques and neurofibrillary tangles composed of hyperphosphorylated tau. This…

分子网络 · 定量生物学 2025-12-05 She Xutong

The presence of diffuse Focal Axonal Swellings (FAS) is a hallmark cellular feature in many neurodegenerative diseases and traumatic brain injury. Among other things, the FAS have a significant impact on spike-train encodings that propagate…

神经元与认知 · 定量生物学 2016-08-23 Pedro D. Maia , J. Nathan Kutz

For effective treatment of Alzheimer disease (AD), it is important to identify subjects who are most likely to exhibit rapid cognitive decline. Herein, we developed a novel framework based on a deep convolutional neural network which can…

计算机视觉与模式识别 · 计算机科学 2017-04-21 Hongyoon Choi , Kyong Hwan Jin

As a follow-up tutorial article of [29], in this paper, we will introduce the basic compositional units of the human brain, which will further illustrate the cell-level bio-structure of the brain. On average, the human brain contains about…

神经元与认知 · 定量生物学 2019-06-06 Jiawei Zhang

Neuroinflammation immediately follows the onset of ischemic stroke. During this process, microglial cells are activated in and recruited to the tissue surrounding the irreversibly injured infarct core, referred to as the penumbra.…

细胞行为 · 定量生物学 2025-06-23 Sara Amato , Andrea Arnold

Atherosclerosis, a chronic lesion of vascular wall, remains a leading cause of death and loss of life years. Classical hypotheses for atherosclerosis are long-standing mainly to explain atherogenesis. Unfortunately, these hypotheses may not…

组织与器官 · 定量生物学 2020-10-22 Xinggang Wang , Aijun Sun , Junbo Ge

We study one specific version of the contact process on a graph. Here, we allow multiple infections carried by the nodes and include a probability of removing nodes in a graph. The removal probability is purely determined by the number of…

概率论 · 数学 2023-10-06 Xu Huang

The motor neuron disease amyotrophic lateral sclerosis (ALS) typically begins with localized muscle weakness. Progressive, widespread paralysis often follows over a few years. Does the disease begin with local changes in a small piece of…

种群与进化 · 定量生物学 2016-10-20 Steven A. Frank

Purpose: This study investigates whether a machine-learning-based system can predict the rate of cognitive decline in mildly cognitively impaired patients by processing only the clinical and imaging data collected at the initial visit.…

We study the frog model with death on the biregular tree $\mathbb{T}_{d_1,d_2}$. Initially, there is a random number of awake and sleeping particles located on the vertices of the tree. Each awake particle moves as a discrete-time…

概率论 · 数学 2020-06-04 Elcio Lebensztayn , Jaime Utria

Alzheimer's disease (AD) is associated with local (e.g. brain tissue atrophy) and global brain changes (loss of cerebral connectivity), which can be detected by high-resolution structural magnetic resonance imaging. Conventionally, these…

机器学习 · 计算机科学 2021-05-11 Sarah C. Brüningk , Felix Hensel , Catherine R. Jutzeler , Bastian Rieck

Lead is a naturally-occurring element. It has been known to man for a long time, and it is one of the longest established poisons. The current consensus is that no level of lead exposure should be deemed "safe." New evidence regarding the…

定量方法 · 定量生物学 2019-02-19 Anca Radulescu , Steven Lundgren

This paper addresses the question of the brain's critical dynamics after an injury such as a stroke. It is hypothesized that the healthy brain operates near a phase transition (critical point), which provides optimal conditions for…

神经元与认知 · 定量生物学 2023-08-01 Jakub Janarek , Zbigniew Drogosz , Jacek Grela , Jeremi K. Ochab , Paweł Oświęcimka

Predicting whether someone with mild cognitive impairment (MCI) will progress to Alzheimer's disease (AD) is crucial in the early stages of neurodegeneration. This uncertainty limits enrollment in clinical trials and delays urgent…

神经元与认知 · 定量生物学 2026-03-30 Ishaan Cherukuri

Alzheimer's disease (AD) is characterized by complex and largely unknown progression dynamics affecting the brain's morphology. Although the disease evolution spans decades, to date we cannot rely on long-term data to model the pathological…

应用统计 · 统计学 2019-08-14 Clement Abi Nader , Nicholas Ayache , Philippe Robert , Marco Lorenzi

Structural MRI-to-amyloid PET synthesis has been proposed as a non-invasive alternative for amyloid assessment in Alzheimer's disease (AD). However, reported performance of identical models varies widely across studies, and increasingly…

计算机视觉与模式识别 · 计算机科学 2026-05-27 Louise E. G. Baron , Ross Callaghan , David M. Cash , Philip S. J. Weston , Hojjat Azadbakht , Hui Zhang