Yadong Shang,Jianjun Paul Tian,Bixiang Wang
Yadong Shang
This paper deals with the asymptotic behavior of the solutions of the non-autonomous one-dimensional stochastic Keller-Segel equations defined in a bounded interval with Neumann boundary conditions. We prove the existence and uniqueness of ...
Jiahui Chen,Rundong Zhao,Yiying Tong et al.
Jiahui Chen et al.
The de Rham-Hodge theory is a landmark of the 20th Century's mathematics and has had a great impact on mathematics, physics, computer science, and engineering. This work introduces an evolutionary de Rham-Hodge method to provide a unified p...
Yuchi Qiu,Weitao Chen,Qing Nie
Yuchi Qiu
The second-order implicit integration factor method (IIF2) is effective at solving stiff reaction-diffusion equations owing to its nice stability condition. IIF has previously been applied primarily to systems in which the reaction containe...
Yuchi Qiu,Weitao Chen,Qing Nie
Yuchi Qiu
During epithelium tissue maintenance, lineages of cells differentiate and proliferate in a coordinated way to provide the desirable size and spatial organization of different types of cells. While mathematical models through deterministic d...
DETECTING FEATURES OF EPILEPTOGENESIS IN EEG AFTER TBI USING UNSUPERVISED DIFFUSION COMPONENT ANALYSIS [0.03%]
利用无监督扩散成分分析法在创伤性脑损伤后EEG中检测癫痫发生特征
Dominique Duncan,Paul Vespa,Arthur W Toga
Dominique Duncan
Epilepsy is among the most common serious disabling disorders of the brain, and the global burden of epilepsy exerts a tremendous cost to society. Most people with epilepsy have acquired forms, and the development of antiepileptogenic inter...
ADAPTIVE METHODS FOR STOCHASTIC DIFFERENTIAL EQUATIONS VIA NATURAL EMBEDDINGS AND REJECTION SAMPLING WITH MEMORY [0.03%]
基于自然嵌入和记忆式拒绝抽样的随机微分方程自适应方法
Christopher Rackauckas,Qing Nie
Christopher Rackauckas
Adaptive time-stepping with high-order embedded Runge-Kutta pairs and rejection sampling provides efficient approaches for solving differential equations. While many such methods exist for solving deterministic systems, little progress has ...
Controlling Stochasticity in Epithelial-Mesenchymal Transition Through Multiple Intermediate Cellular States [0.03%]
通过多个中间细胞状态控制上皮间质转化的随机性
Catherine Ha Ta,Qing Nie,Tian Hong
Catherine Ha Ta
Epithelial-mesenchymal transition (EMT) is an instance of cellular plasticity that plays critical roles in development, regeneration and cancer progression. Recent studies indicate that the transition between epithelial and mesenchymal stat...
COMPUTATION OF ℛ IN AGE-STRUCTURED EPIDEMIOLOGICAL MODELS WITH MATERNAL AND TEMPORARY IMMUNITY [0.03%]
具有母体和暂时免疫的年龄结构流行病学模型中的ℛ的计算
Zhilan Feng,Qing Han,Zhipeng Qiu et al.
Zhilan Feng et al.
For infectious diseases such as pertussis, susceptibility is determined by immunity, which is chronological age-dependent. We consider an age-structured epidemiological model that accounts for both passively acquired maternal antibodies tha...
Ian H Dinwoodie
Ian H Dinwoodie
For a Boolean network we consider asynchronous updates and define the exclusive asynchronous basin of attraction for any steady state or cyclic attractor. An algorithm based on commutative algebra is presented to compute the exclusive basin...
Daozhou Gao,Yijun Lou,Shigui Ruan
Daozhou Gao
Based on the classical Ross-Macdonald model, in this paper we propose a periodic malaria model to incorporate the effects of temporal and spatial heterogeneity on disease transmission. The temporal heterogeneity is described by assuming tha...