SIAM Journal on Applied Mathematics最新文献_第10页

A Multifaceted Study of Nematic Order Reconstruction in Microfluidic Channels 微流控通道中向列有序重构的多方面研究

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2023-11-27 DOI: 10.1137/22m1490909

James Dalby, Yucen Han, Apala Majumdar, Lidia Mrad

引用次数: 1

Prevalence of Multistationarity and Absolute Concentration Robustness in Reaction Networks 反应网络中多平稳性和绝对浓度鲁棒性的普遍性

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2023-11-20 DOI: 10.1137/23m1549316

Badal Joshi, Nidhi Kaihnsa, Tung D. Nguyen, Anne Shiu

{"title":"Prevalence of Multistationarity and Absolute Concentration Robustness in Reaction Networks","authors":"Badal Joshi, Nidhi Kaihnsa, Tung D. Nguyen, Anne Shiu","doi":"10.1137/23m1549316","DOIUrl":"https://doi.org/10.1137/23m1549316","url":null,"abstract":"SIAM Journal on Applied Mathematics, Volume 83, Issue 6, Page 2260-2283, December 2023. <br/> Abstract. For reaction networks arising in systems biology, the capacity for two or more steady states, that is, multistationarity, is an important property that underlies biochemical switches. Another property receiving much attention recently is absolute concentration robustness (ACR), which means that some species concentration is the same at all positive steady states. In this work, we investigate the prevalence of each property while paying close attention to when the properties occur together. Specifically, we consider a stochastic block framework for generating random networks and prove edge-probability thresholds at which, with high probability, multistationarity appears and ACR becomes rare. We also show that the small window in which both properties occur only appears in networks with many species. Taken together, our results confirm that, in random reversible networks, ACR and multistationarity together, or even ACR on its own, is highly atypical. Our proofs rely on two prior results, one pertaining to the prevalence of networks with deficiency zero and the other “lifting” multistationarity from small networks to larger ones.","PeriodicalId":51149,"journal":{"name":"SIAM Journal on Applied Mathematics","volume":"16 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138528019","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 2

Power-Engine-Load Form for Dynamic Absolute Concentration Robustness 动力-发动机负载形式的动态绝对集中稳健性

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2023-11-20 DOI: 10.1137/22m1535450

Badal Joshi, Gheorghe Craciun

引用次数: 0

Cell Polarity and Movement with Reaction-Diffusion and Moving Boundary: Rigorous Model Analysis and Robust Simulations 具有反应扩散和移动边界的细胞极性和运动:严格的模型分析和鲁棒模拟

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2023-11-16 DOI: 10.1137/22m1506766

Shuang Liu, Li-Tien Cheng, Bo Li

{"title":"Cell Polarity and Movement with Reaction-Diffusion and Moving Boundary: Rigorous Model Analysis and Robust Simulations","authors":"Shuang Liu, Li-Tien Cheng, Bo Li","doi":"10.1137/22m1506766","DOIUrl":"https://doi.org/10.1137/22m1506766","url":null,"abstract":"SIAM Journal on Applied Mathematics, Ahead of Print. <br/> Abstract. Cell polarity and movement are fundamental to many biological functions. Experimental and theoretical studies have indicated that interactions of certain proteins lead to the cell polarization which plays a key role in controlling the cell movement. We study the cell polarity and movement based on a class of biophysical models that consist of reaction-diffusion equations for different proteins and the dynamics of a moving cell boundary. Such a moving boundary is often simulated by a phase-field model. We first apply the matched asymptotic analysis to give a rigorous derivation of the sharp-interface model of the cell boundary from a phase-field model. We then develop a robust numerical approach that combines the level-set method to track the sharp boundary of a moving cell and accurate discretization techniques for solving the reaction-diffusion equations on the moving cell region. Our extensive numerical simulations predict the cell polarization under various kinds of stimuli and capture both the linear and the circular trajectories of a moving cell for a long period of time. In particular, we have identified some key parameters controlling different cell trajectories that are less accurately predicted by reduced models. Our work has linked different models and also developed tools that can be adapted for the challenging three-dimensional simulations.","PeriodicalId":51149,"journal":{"name":"SIAM Journal on Applied Mathematics","volume":"1 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2023-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138528016","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Global Dynamics and Pattern Formation in a Diffusive Population-Toxicant Model with Negative Toxicant-Taxis 具有负毒性趋向性的扩散种群-毒性模型的全局动力学和模式形成

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2023-11-15 DOI: 10.1137/22m1510881

Xiumei Deng, Qihua Huang, Zhi-An Wang

{"title":"Global Dynamics and Pattern Formation in a Diffusive Population-Toxicant Model with Negative Toxicant-Taxis","authors":"Xiumei Deng, Qihua Huang, Zhi-An Wang","doi":"10.1137/22m1510881","DOIUrl":"https://doi.org/10.1137/22m1510881","url":null,"abstract":"SIAM Journal on Applied Mathematics, Volume 83, Issue 6, Page 2212-2236, December 2023. <br/> Abstract. Because of the significance of remediating contaminated ecosystems, many mathematical models have been developed to describe the interactions between populations and toxicants in polluted aquatic environments. These models typically neglect the consequences of toxicant-induced behavioral changes on population dynamics. Taking into account that individuals may flee from areas with high toxicant concentrations to areas with low toxicant concentrations in order to improve their chances of survival, growth, and reproduction, we develop a diffusive population-toxicant model with toxicant-taxis. We establish the global well-posedness of our model and prove the global stability of spatially homogeneous toxicant-only steady states and population-toxicant coexistence steady states under some conditions. We find conditions under which stable spatially inhomogeneous steady states become unstable to trigger spatial pattern formations as the toxicant-taxis is strong. We also identify a narrow parameter regime in which toxicant-only and population-toxicant coexistence steady states are bistable. Numerical simulations are performed to illustrate that spatial aggregation and segregation patterns between the population and the toxicant will typically emerge. Our study highlights the important effects of toxicant-induced movement responses on the spatial distributions of populations in polluted aquatic environments.","PeriodicalId":51149,"journal":{"name":"SIAM Journal on Applied Mathematics","volume":"3 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2023-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138528000","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Detecting and Resetting Tipping Points to Create More HIV Post-Treatment Controllers with Bifurcation and Sensitivity Analysis 用分岔和敏感性分析检测和重置引爆点以创建更多的HIV治疗后控制器

IF 1.9 4区数学

SIAM Journal on Applied Mathematics Pub Date : 2023-11-15 DOI: 10.1137/22m1485255

Wenjing Zhang, Leif A. Ellingson

{"title":"Detecting and Resetting Tipping Points to Create More HIV Post-Treatment Controllers with Bifurcation and Sensitivity Analysis","authors":"Wenjing Zhang, Leif A. Ellingson","doi":"10.1137/22m1485255","DOIUrl":"https://doi.org/10.1137/22m1485255","url":null,"abstract":"SIAM Journal on Applied Mathematics, Ahead of Print. <br/> Abstract. The existence of HIV post-treatment controllers (PTCs) offers hope for an HIV functional cure, and understanding the critical mechanisms determining PTC represents a key step toward this goal. Here, we have studied these mechanisms by analyzing an established mathematical model for HIV viral dynamics. In mathematical models, critical mechanisms are represented by parameters that affect the tipping points to induce qualitatively different dynamics, and in cases with multiple stability, the initial conditions of the system also play a role in determining the fate of the solution. As such, for the tipping points in parameter space, we developed and implemented a sensitivity analysis of the threshold conditions of the associated bifurcations to identify the critical mechanisms for this model. Our results suggest that the infected cell death rate and the saturation parameter for cytotoxic T lymphocyte proliferation significantly affect post-treatment control. For the case with multiple stability, in state space of initial conditions, we first investigated the saddle-type equilibrium point to identify its stable manifold, which delimits trapping regions associated to the high and low viral set points. The identified stable manifold serves as a guide for the loads of immune cells and HIV virus at the time of therapy termination to achieve post-treatment control.","PeriodicalId":51149,"journal":{"name":"SIAM Journal on Applied Mathematics","volume":"15 1 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2023-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138527991","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Sliding-Mode Theory Under Feedback Constraints and the Problem of Epidemic Control 反馈约束下的滑模理论与流行病控制问题

4区数学

SIAM Journal on Applied Mathematics Pub Date : 2023-11-15 DOI: 10.1137/22m1535309

Mauro Bisiacco, Gianluigi Pillonetto

{"title":"Sliding-Mode Theory Under Feedback Constraints and the Problem of Epidemic Control","authors":"Mauro Bisiacco, Gianluigi Pillonetto","doi":"10.1137/22m1535309","DOIUrl":"https://doi.org/10.1137/22m1535309","url":null,"abstract":"One of the most important branches of nonlinear control theory of dynamical systems is the so-called sliding mode. Its aim is the design of a (nonlinear) feedback law that brings and maintains the state trajectory of a dynamic system on a given sliding surface. Here, dynamics become completely independent of the model parameters and can be tuned accordingly to the desired target. In this paper we study this problem when the feedback law is subject to strong structural constraints. In particular, we assume that the control input may take values only over two bounded and disjoint sets. Such sets could be also not perfectly known a priori. An example is a control input allowed to switch only between two values. Under these peculiarities, we derive the necessary and sufficient conditions that guarantee sliding-mode control effectiveness for a class of time-varying continuous-time linear systems that includes all the stationary state-space linear models. Our analysis covers several scientific fields. It is only apparently confined to the linear setting and also allows one study an important set of nonlinear models. We describe fundamental examples related to epidemiology where the control input is the level of contact rate among people and the sliding surface permits to control the number of infected. We prove the global convergence of epidemic sliding-mode control schemes applied to two popular dynamical systems used in epidemiology, i.e., SEIR and SAIR, and based on the introduction of severe restrictions like lockdowns. Results obtained in the literature regarding control of many other epidemiological models are also generalized by casting them within a general sliding-mode theory.","PeriodicalId":51149,"journal":{"name":"SIAM Journal on Applied Mathematics","volume":"10 2","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136227557","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Fast Solver for Diffusive Transport Times on Dynamic Intracellular Networks 动态胞内网络上扩散传输时间的快速求解器

4区数学

SIAM Journal on Applied Mathematics Pub Date : 2023-11-14 DOI: 10.1137/22m1509308

Lachlan Elam, Mónica C. Quiñones-Frías, Ying Zhang, Avital A. Rodal, Thomas G. Fai

引用次数: 0

On Spatial Cohesiveness of Second-Order Self-Propelled Swarming Systems 二阶自走群系统的空间内聚性研究

4区数学

SIAM Journal on Applied Mathematics Pub Date : 2023-11-09 DOI: 10.1137/23m1553388

Constantine Medynets, Irina Popovici

{"title":"On Spatial Cohesiveness of Second-Order Self-Propelled Swarming Systems","authors":"Constantine Medynets, Irina Popovici","doi":"10.1137/23m1553388","DOIUrl":"https://doi.org/10.1137/23m1553388","url":null,"abstract":"The study of emergent behavior of swarms is of great interest for applied sciences. One of the most fundamental questions for self-organizing swarms is whether the swarms disperse or remain in a spatially cohesive configuration. In this paper we study dissipativity properties and spatial cohesiveness of the swarm of self-propelled particles governed by the model , where , , and is a symmetric positive semidefinite matrix. The self-propulsion term is assumed to be continuously differentiable and to grow faster than , that is, as . We establish that the velocity and acceleration of the particles are ultimately bounded. We show that when is trivial, the positions of the particles are also ultimately bounded. For systems with , we show that, while the system might infinitely drift away from its initial location, the particles remain within a bounded distance from the generalized center of mass of the system, which geometrically coincides with the weighted average of agent positions. The weights are determined by the coefficients of the projection matrix onto . We also discuss the ultimate boundedness for systems with bounded coupling, including the Morse potential systems, and systems governed by power-law potentials with strong repulsion properties. We show that the former systems are ultimately bounded in the velocity-acceleration domain, whereas the models based on the power-law potentials are not.","PeriodicalId":51149,"journal":{"name":"SIAM Journal on Applied Mathematics","volume":" 48","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135241977","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 2

Wearable Data Assimilation to Estimate the Circadian Phase 可穿戴数据同化以估计昼夜节律阶段

4区数学

SIAM Journal on Applied Mathematics Pub Date : 2023-11-09 DOI: 10.1137/22m1509680

Dae Wook Kim, Minki P. Lee, Daniel B. Forger

引用次数: 0