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Finite Amplitude Analysis of Poiseuille Flow in Fluid Overlying Porous Domain SIAM J. Appl. Math. (IF 1.9) Pub Date : 2024-03-12 A. Aleria, A. Khan, P. Bera
SIAM Journal on Applied Mathematics, Volume 84, Issue 2, Page 433-463, April 2024. Abstract. A weakly nonlinear stability analysis of isothermal Poiseuille flow in a fluid overlying porous domain is proposed and investigated in this article. The nonlinear interactions are studied by imposing finite amplitude disturbances to the classical model deliberated in Chang, Chen, and Straughan [J. Fluid Mech
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Tangential Cone Condition for the Full Waveform Forward Operator in the Viscoelastic Regime: The Nonlocal Case SIAM J. Appl. Math. (IF 1.9) Pub Date : 2024-03-12 Matthias Eller, Roland Griesmaier, Andreas Rieder
SIAM Journal on Applied Mathematics, Volume 84, Issue 2, Page 412-432, April 2024. Abstract. We discuss mapping properties of the parameter-to-state map of full waveform inversion and generalize the results of [M. Eller and A. Rieder, Inverse Problems, 37 (2021), 085011] from the acoustic to the viscoelastic wave equation. In particular, we establish injectivity of the Fréchet derivative of the parameter-to-state
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An Optimal Control Problem for the Wigner Equation SIAM J. Appl. Math. (IF 1.9) Pub Date : 2024-03-08 Omar Morandi, Nella Rotundo, Alfio Borzì, Luigi Barletti
SIAM Journal on Applied Mathematics, Volume 84, Issue 2, Page 387-411, April 2024. Abstract. The Wigner quasi-density function allows a phase-space formulation of statistical quantum mechanics that is of fundamental importance in theoretical investigation and in applications. This work contributes to these tasks with the formulation and analysis of an optimal control problem for the Wigner equation
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Coarsening of Thin Films with Weak Condensation SIAM J. Appl. Math. (IF 1.9) Pub Date : 2024-03-06 Hangjie Ji, Thomas P. Witelski
SIAM Journal on Applied Mathematics, Volume 84, Issue 2, Page 362-386, April 2024. Abstract. A lubrication model can be used to describe the dynamics of a weakly volatile viscous fluid layer on a hydrophobic substrate. Thin layers of the fluid are unstable to perturbations and break up into slowly evolving interacting droplets. A reduced-order dynamical system is derived from the lubrication model
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Spatiotemporal Patterns in a Lengyel–Epstein Model Near a Turing–Hopf Singular Point SIAM J. Appl. Math. (IF 1.9) Pub Date : 2024-03-01 Shuangrui Zhao, Pei Yu, Hongbin Wang
SIAM Journal on Applied Mathematics, Volume 84, Issue 2, Page 338-361, April 2024. Abstract. In this paper, a study is carried out on the spatiotemporal dynamics of a Lengyel–Epstein model describing the chlorite-iodine-malonic-acid (CIMA) reaction with time delay and the Neumann boundary condition in a two-dimensional region. The existences for Turing, Hopf, Turing–Turing, Turing–Hopf, and Bogdanov–Takens
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Computation of Riesz [math]-Capacity [math] of General Sets in [math] Using Stable Random Walks SIAM J. Appl. Math. (IF 1.9) Pub Date : 2024-03-01 John P. Nolan, Debra J. Audus, Jack F. Douglas
SIAM Journal on Applied Mathematics, Volume 84, Issue 2, Page 317-337, April 2024. Abstract. A method for computing the Riesz [math]-capacity, [math], of a general set [math] is given. The method is based on simulations of isotropic [math]-stable motion paths in [math]-dimensions. The familiar walk-on-spheres method, often utilized for simulating Brownian motion, is modified to a novel walk-in-and-out-of-balls
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Heat Generation Using Lorentzian Nanoparticles. The Full Maxwell System SIAM J. Appl. Math. (IF 1.9) Pub Date : 2024-02-20 Arpan Mukherjee, Mourad Sini
SIAM Journal on Applied Mathematics, Volume 84, Issue 1, Page 285-315, February 2024. Abstract. We analyze and quantify the amount of heat generated by a nanoparticle, injected in a background medium, while excited by incident electromagnetic waves. These nanoparticles are dispersive with electric permittivity following the Lorentz model. The purpose is to determine the quantity of heat generated extremely
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A Mathematical Theory of Microscale Hydrodynamic Cloaking and Shielding by Electro-Osmosis SIAM J. Appl. Math. (IF 1.9) Pub Date : 2024-02-12 Hongyu Liu, Zhi-Qiang Miao, Guang-Hui Zheng
SIAM Journal on Applied Mathematics, Volume 84, Issue 1, Page 262-284, February 2024. Abstract. In this paper, we develop a general mathematical framework for perfect and approximate hydrodynamic cloaking and shielding of electro-osmotic flow, which is governed by a coupled PDE system via the field-effect electro-osmosis. We first establish the representation formula of the solution of the coupled
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The Scattering Phase: Seen at Last SIAM J. Appl. Math. (IF 1.9) Pub Date : 2024-02-12 Jeffrey Galkowski, Pierre Marchand, Jian Wang, Maciej Zworski
SIAM Journal on Applied Mathematics, Volume 84, Issue 1, Page 246-261, February 2024. Abstract. The scattering phase, defined as [math] where [math] is the (unitary) scattering matrix, is the analogue of the counting function for eigenvalues when dealing with exterior domains and is closely related to Kreĭn’s spectral shift function. We revisit classical results on asymptotics of the scattering phase
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Linear Regularized 13-Moment Equations with Onsager Boundary Conditions for General Gas Molecules SIAM J. Appl. Math. (IF 1.9) Pub Date : 2024-02-02 Zhenning Cai, Manuel Torrilhon, Siyao Yang
SIAM Journal on Applied Mathematics, Volume 84, Issue 1, Page 215-245, February 2024. Abstract. We develop the steady-state regularized 13-moment equations in the linear regime for rarefied gas dynamics with general collision models. For small Knudsen numbers, the model is accurate up to the super-Burnett order, and the resulting system of moment equations is shown to have a symmetric structure. We
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Jacobi Processes with Jumps as Neuronal Models: A First Passage Time Analysis SIAM J. Appl. Math. (IF 1.9) Pub Date : 2024-02-02 Giuseppe D’Onofrio, Pierre Patie, Laura Sacerdote
SIAM Journal on Applied Mathematics, Volume 84, Issue 1, Page 189-214, February 2024. Abstract. To overcome some limits of classical neuronal models, we propose a Markovian generalization of the classical model based on Jacobi processes by introducing downwards jumps to describe the activity of a single neuron. The statistical analysis of interspike intervals is performed by studying the first passage
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An Inversion Scheme for Elastic Diffraction Tomography Based on Mode Separation SIAM J. Appl. Math. (IF 1.9) Pub Date : 2024-02-01 Bochra Mejri, Otmar Scherzer
SIAM Journal on Applied Mathematics, Volume 84, Issue 1, Page 165-188, February 2024. Abstract. We consider the problem of elastic diffraction tomography, which consists in reconstructing elastic properties (i.e., mass density and elastic Lamé parameters) of a weakly scattering medium from full-field data of scattered waves outside the medium. Elastic diffraction tomography refers to the elastic inverse
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A Hierarchy of Kinetic Discrete-Velocity Models for Traffic Flow Derived from a Nonlocal Prigogine–Herman Model SIAM J. Appl. Math. (IF 1.9) Pub Date : 2024-01-30 R. Borsche, A. Klar
SIAM Journal on Applied Mathematics, Volume 84, Issue 1, Page 139-164, February 2024. Abstract. Starting from a nonlocal version of the Prigogine–Herman traffic model, we derive a natural hierarchy of kinetic discrete-velocity models for traffic flow consisting of systems of quasi-linear hyperbolic equations with relaxation terms. The hyperbolic main part of these models turns out to have several favorable
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Tipping Points in Seed Dispersal Mutualism Driven by Environmental Stochasticity SIAM J. Appl. Math. (IF 1.9) Pub Date : 2024-01-30 Tao Feng, Zhipeng Qiu, Hao Wang
SIAM Journal on Applied Mathematics, Volume 84, Issue 1, Page 114-138, February 2024. Abstract. The mechanism of seed dispersal mutualism is fundamental to understanding vegetation diversity and its conservation. In this study, we propose a stochastic model that extends the classical framework of seed dispersal mutualism to explore the effects of environmental stochasticity on mutualistic interactions
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A Domain Decomposition Method for Solution of a PDE-Constrained Generalized Nash Equilibrium Model of Biofilm Community Metabolism SIAM J. Appl. Math. (IF 1.9) Pub Date : 2024-01-24 Isaac Klapper, Daniel B. Szyld, Xinli Yu, Karsten Zengler, Tianyu Zhang, Cristal Zúñiga
SIAM Journal on Applied Mathematics, Volume 84, Issue 1, Page 97-113, February 2024. Abstract. Microbes are able to deploy different strategies in response to, and depending upon, local environmental conditions. In the setting of a microbial community, this property induces a Nash equilibrium problem because access to environmental resources is bounded. If microbes are also distributed in space, then
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Layer Stripping Approach to Reconstruct Shape Variations in Waveguides Using Locally Resonant Frequencies SIAM J. Appl. Math. (IF 1.9) Pub Date : 2024-01-22 Angéle Niclas, Laurent Seppecher
SIAM Journal on Applied Mathematics, Volume 84, Issue 1, Page 75-96, February 2024. Abstract. This article presents a new method to reconstruct slowly varying width defects in two-dimensional waveguides using one-side section measurements at locally resonant frequencies. At these frequencies, locally resonant modes propagate in the waveguide up to a “cut-off” position. In this particular point, the
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Nonlinear Monotone Energy Stability of Plane Shear Flows: Joseph or Orr Critical Thresholds? SIAM J. Appl. Math. (IF 1.9) Pub Date : 2024-01-18 Giuseppe Mulone
SIAM Journal on Applied Mathematics, Volume 84, Issue 1, Page 60-74, February 2024. Abstract. Critical Reynolds numbers for the monotone exponential energy stability of Couette and Poiseuille plane flows were obtained by Orr in 1907 [Proc. Roy. Irish Acad. A, 27 (1907), pp. 9–68, 69–138] in a famous paper, and by Joseph in 1966 [J. Fluid Mech., 33 (1966), pp. 617–621], Joseph and Carmi in 1969 [Quart
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Multiplicity of Neutrally Stable Periodic Orbits with Coexistence in the Chemostat Subject to Periodic Removal Rate SIAM J. Appl. Math. (IF 1.9) Pub Date : 2024-01-16 Thomas Guilmeau, Alain Rapaport
SIAM Journal on Applied Mathematics, Volume 84, Issue 1, Page 39-59, February 2024. Abstract. We identify a taxonomic property on the growth functions in the multispecies chemostat model which ensures the coexistence of a subset of species under periodic removal rate. We show that proportions of some powers of the species densities are periodic functions, leading to an infinity of distinct neutrally
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Combined Field-Only Boundary Integral Equations for PEC Electromagnetic Scattering Problem in Spherical Geometries SIAM J. Appl. Math. (IF 1.9) Pub Date : 2024-01-12 Luiz Maltez-Faria, Carlos Pérez-Arancibia, Catalin Turc
SIAM Journal on Applied Mathematics, Volume 84, Issue 1, Page 19-38, February 2024. Abstract. We analyze the well-posedness of certain field-only boundary integral equations (BIEs) for frequency domain electromagnetic scattering from perfectly conducting spheres. Starting from the observations that (1) the three components of the scattered electric field [math] and (2) scalar quantity [math] are radiative
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One-Dimensional Short-Range Nearest-Neighbor Interaction and Its Nonlinear Diffusion Limit SIAM J. Appl. Math. (IF 1.9) Pub Date : 2024-01-12 Michael Fischer, Laura Kanzler, Christian Schmeiser
SIAM Journal on Applied Mathematics, Volume 84, Issue 1, Page 1-18, February 2024. Abstract. Repulsion between individuals within a finite radius is encountered in numerous applications, including cell exclusion, i.e., avoidance of overlapping cells, bird flocks, or microscopic pedestrian models. We define such individual-based particle dynamics in one spatial dimension with minimal assumptions of
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Analysis on a Spatial SIS Epidemic Model with Saturated Incidence Function in Advective Environments: I. Conserved Total Population SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-12-08 Xiaodan Chen, Renhao Cui
SIAM Journal on Applied Mathematics, Volume 83, Issue 6, Page 2522-2544, December 2023. Abstract. This paper concerns the qualitative analysis on a reaction-diffusion SIS (susceptible-infected-susceptible) epidemic model governed by the saturated incidence infection mechanism in advective environments. A variational expression of the basic reproduction number [math] was derived and the global dynamics
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Modeling Acoustic Space-Coiled Metacrystals SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-12-06 Joar Zhou Hagström, Kim Pham, Agnés Maurel
SIAM Journal on Applied Mathematics, Volume 83, Issue 6, Page 2499-2521, December 2023. Abstract. We present an effective model of “space-coiled metacrystals” composed of a periodic array of sound rigid blocks into which long slots have been coiled up. The periodic cell of the block contains a coiled slot whose straight parts are at wavelength scale, which enables the appearance of Bragg resonances
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Spectral Patterns of Elastic Transmission Eigenfunctions: Boundary Localization, Surface Resonance, and Stress Concentration SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-12-05 Yan Jiang, Hongyu Liu, Jiachuan Zhang, Kai Zhang
SIAM Journal on Applied Mathematics, Volume 83, Issue 6, Page 2469-2498, December 2023. Abstract. We present a comprehensive study of new discoveries on the spectral patterns of elastic transmission eigenfunctions, including boundary localization, surface resonance, and stress concentration. In the case where the domain is radial and the underlying parameters are constant, we give rigorous justifications
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Design of Defected Non-hermitian Chains of Resonator Dimers for Spatial and Spatio-temporal Localizations SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-12-05 Habib Ammari, Erik Orvehed Hiltunen, Thea Kosche
SIAM Journal on Applied Mathematics, Volume 83, Issue 6, Page 2443-2468, December 2023. Abstract. The aim of this article is to advance the field of metamaterials by proposing formulas for the design of high-contrast metamaterials with prescribed subwavelength defect mode eigenfrequencies. This is achieved in two settings: (i) design of non-Hermitian static materials and (ii) design of instantly changing
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Neuronal Resilience and Calcium Signaling Pathways in the Context of Synapse Loss and Calcium Leaks: A Computational MODELING Study and Implications for Alzheimer’s Disease SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-12-05 Piyush R. Borole, James M. Rosado, MeiRose Neal, Gillian Queisser
SIAM Journal on Applied Mathematics, Volume 83, Issue 6, Page 2418-2442, December 2023. Abstract. In this paper, a coupled electro-calcium model was developed and implemented to computationally explore the effects of neuronal synapse loss, in particular in the context of Alzheimer’s disease. Established parameters affected by Alzheimer’s disease, such as synapse loss, calcium leaks at deteriorating
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Homogenization for a Variational Problem with a Slip Interface Condition SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-11-30 Miao-jung Yvonne Ou, Silvia Jiménez Bolaños
SIAM Journal on Applied Mathematics, Volume 83, Issue 6, Page 2390-2417, December 2023. Abstract. Inspired by applications, we study the effect of interface slip on the effective wave propagation in poroelastic materials, which are composites consisting of elastic frames whose pore space is filled with fluid. The current literature on the homogenization for the poroelastic wave equations are all based
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Multiscale Modeling and Analysis of Growth of Plant Tissues SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-11-29 Arezki Boudaoud, Annamaria Kiss, Mariya Ptashnyk
SIAM Journal on Applied Mathematics, Volume 83, Issue 6, Page 2354-2389, December 2023. Abstract. How morphogenesis depends on cell properties is an active direction of research. Here, we focus on mechanical models of growing plant tissues, where microscopic (sub)cellular structure is taken into account. In order to establish links between microscopic and macroscopic tissue properties, we perform a
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A Multifaceted Study of Nematic Order Reconstruction in Microfluidic Channels SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-11-27 James Dalby, Yucen Han, Apala Majumdar, Lidia Mrad
SIAM Journal on Applied Mathematics, Volume 83, Issue 6, Page 2284-2309, December 2023. Abstract. We study order reconstruction (OR) solutions in the Beris–Edwards framework for nematodynamics, for both passive and active nematic flows in a microfluidic channel. OR solutions exhibit polydomains and domain walls, and as such, are of physical interest. We show that OR solutions exist for passive flows
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Hypernetworks: Cluster Synchronization Is a Higher-Order Effect SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-11-28 Sören von der Gracht, Eddie Nijholt, Bob Rink
SIAM Journal on Applied Mathematics, Volume 83, Issue 6, Page 2329-2353, December 2023. Abstract. Many networked systems are governed by non-pairwise interactions between nodes. The resulting higher-order interaction structure can then be encoded by means of a hypernetwork. In this paper we consider dynamical systems on hypernetworks by defining a class of admissible maps for every such hypernetwork
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A Density Description of a Bounded-Confidence Model of Opinion Dynamics on Hypergraphs SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-11-28 Weiqi Chu, Mason A. Porter
SIAM Journal on Applied Mathematics, Volume 83, Issue 6, Page 2310-2328, December 2023. Abstract. Social interactions often occur between three or more agents simultaneously. Examining opinion dynamics on hypergraphs allows one to study the effect of such polyadic interactions on the opinions of agents. In this paper, we consider a bounded-confidence model (BCM), in which opinions take continuous values
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Power-Engine-Load Form for Dynamic Absolute Concentration Robustness SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-11-20 Badal Joshi, Gheorghe Craciun
SIAM Journal on Applied Mathematics, Volume 83, Issue 6, Page 2237-2259, December 2023. Abstract. In a reaction network, the concentration of a species with the property of dynamic absolute concentration robustness (dynamic ACR) converges to the same value independent of the overall initial values. This property endows a biochemical network with output robustness and therefore is essential for its
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Prevalence of Multistationarity and Absolute Concentration Robustness in Reaction Networks SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-11-20 Badal Joshi, Nidhi Kaihnsa, Tung D. Nguyen, Anne Shiu
SIAM Journal on Applied Mathematics, Volume 83, Issue 6, Page 2260-2283, December 2023. 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
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Cell Polarity and Movement with Reaction-Diffusion and Moving Boundary: Rigorous Model Analysis and Robust Simulations SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-11-16 Shuang Liu, Li-Tien Cheng, Bo Li
SIAM Journal on Applied Mathematics, Ahead of Print. 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
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Detecting and Resetting Tipping Points to Create More HIV Post-Treatment Controllers with Bifurcation and Sensitivity Analysis SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-11-15 Wenjing Zhang, Leif A. Ellingson
SIAM Journal on Applied Mathematics, Ahead of Print. 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
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Global Dynamics and Pattern Formation in a Diffusive Population-Toxicant Model with Negative Toxicant-Taxis SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-11-15 Xiumei Deng, Qihua Huang, Zhi-An Wang
SIAM Journal on Applied Mathematics, Volume 83, Issue 6, Page 2212-2236, December 2023. 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
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Sliding-Mode Theory Under Feedback Constraints and the Problem of Epidemic Control SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-11-15 Mauro Bisiacco, Gianluigi Pillonetto
SIAM Journal on Applied Mathematics, Volume 83, Issue 6, Page 2189-2211, December 2023. 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
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Fast Solver for Diffusive Transport Times on Dynamic Intracellular Networks SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-11-14 Lachlan Elam, Mónica C. Quiñones-Frías, Ying Zhang, Avital A. Rodal, Thomas G. Fai
SIAM Journal on Applied Mathematics, Ahead of Print. Abstract. The transport of particles in cells is influenced by the properties of intracellular networks they traverse while searching for localized target regions or reaction partners. Moreover, given the rapid turnover in many intracellular structures, it is crucial to understand how temporal changes in the network structure affect diffusive transport
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Wearable Data Assimilation to Estimate the Circadian Phase SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-11-09 Dae Wook Kim, Minki P. Lee, Daniel B. Forger
SIAM Journal on Applied Mathematics, Ahead of Print. Abstract. The circadian clock is an internal timer that coordinates the daily rhythms of behavior and physiology, including sleep and hormone secretion. Accurately tracking the state of the circadian clock, or circadian phase, holds immense potential for precision medicine. Wearable devices present an opportunity to estimate the circadian phase in
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On Spatial Cohesiveness of Second-Order Self-Propelled Swarming Systems SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-11-09 Constantine Medynets, Irina Popovici
SIAM Journal on Applied Mathematics, Volume 83, Issue 6, Page 2169-2188, December 2023. 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
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Maximizing Metapopulation Growth Rate and Biomass in Stream Networks SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-11-03 Tung D. Nguyen, Yixiang Wu, Amy Veprauskas, Tingting Tang, Ying Zhou, Charlotte Beckford, Brian Chau, Xiaoyun Chen, Behzad Djafari Rouhani, Yuerong Wu, Yang Yang, Zhisheng Shuai
SIAM Journal on Applied Mathematics, Volume 83, Issue 6, Page 2145-2168, December 2023. Abstract. We consider the logistic metapopulation model over a stream network and use the metapopulation growth rate and the total biomass (of the positive equilibrium) as metrics for different aspects of population persistence. Our objective is to find distributions of resources that maximize these persistence
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A Non-Local Kinetic Model for Cell Migration: A Study of the Interplay Between Contact Guidance and Steric Hindrance SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-10-24 Martina Conte, Nadia Loy
SIAM Journal on Applied Mathematics, Ahead of Print. Abstract. We propose a non-local model for contact guidance and steric hindrance depending on a single external cue, namely the extracellular matrix, that affects in a twofold way the polarization and speed of motion of the cells. We start from a microscopic description of the stochastic processes underlying the cell re-orientation mechanism related
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A Homogenized Model of Fluid-String Interaction SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-10-24 A. Kent, S. L. Waters, J. Oliver, S. J. Chapman
SIAM Journal on Applied Mathematics, Volume 83, Issue 5, Page 2118-2143, October 2023. Abstract. A homogenized model is developed to describe the interaction between aligned strings and an incompressible, viscous, Newtonian fluid. In the case of many strings, the ratio of string separation to domain width gives a small parameter which can be exploited to simplify the problem. Model derivation using
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Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous Emergence of Large Densities SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-10-24 Kevin J. Painter, Michael Winkler
SIAM Journal on Applied Mathematics, Volume 83, Issue 5, Page 2096-2117, October 2023. Abstract. We consider a phenotype-switching chemotaxis model for aggregation, in which a chemotactic population is capable of switching back and forth between a chemotaxing state (performing chemotactic movement) and a secreting state (producing the attractant). We show that the switching rate provides a powerful
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Reconstruction of an Interface Between the Fluid and Piezoelectric Solid by Acoustic Measurements SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-10-20 Chengyu Wu, Jiaqing Yang
SIAM Journal on Applied Mathematics, Volume 83, Issue 5, Page 2073-2095, October 2023. Abstract. In this paper, we consider an inverse interaction scattering problem of recovering an interface between the fluid and piezoelectric solid from acoustic measurements. First, the well-posedness of the interaction model is shown in associated function spaces by the variational method. Then new uniqueness results
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Resource-Driven Pattern Formation in Consumer-Resource Systems with Asymmetric Dispersal on a Plane SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-10-19 Weiting Song, Shikun Wang, Yuanshi Wang, Donald DeAngelis
SIAM Journal on Applied Mathematics, Ahead of Print. Abstract. This paper considers resource-driven pattern formation in consumer-resource systems. Here, a planar pattern consists of many big patches, and a big patch can be regarded as combination of many patches on the plane. The consumer moves between patches asymmetrically, while the asymmetry is driven by the resource abundance. Based on experimental
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Derivation and Stability Analysis of a Macroscopic Multilane Model for Traffic Flow SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-10-18 Matteo Piu, Michael Herty, Gabriella Puppo
SIAM Journal on Applied Mathematics, Volume 83, Issue 5, Page 2052-2072, October 2023. Abstract. The mathematical modeling and the stability analysis of multilane traffic in the macroscopic scale is considered. We propose a new first order model derived from microscopic dynamics with lane changing, leading to a coupled system of hyperbolic balance laws. The macroscopic limit is derived without assuming
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Similarity Suppresses Cyclicity: Why Similar Competitors Form Hierarchies SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-10-17 Christopher Cebra, Alexander Strang
SIAM Journal on Applied Mathematics, Volume 83, Issue 5, Page 2027-2051, October 2023. Abstract. Competitive systems can exhibit both hierarchical (transitive) and cyclic (intransitive) structures. Despite theoretical interest in cyclic competition, which offers richer dynamics and occupies a larger subset of the scope of possible competitive systems, most real-world systems are predominantly transitive
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Data-Driven Basis for Reconstructing the Contrast in Inverse Scattering: Picard Criterion, Regularity, Regularization, and Stability SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-10-16 Shixu Meng
SIAM Journal on Applied Mathematics, Volume 83, Issue 5, Page 2003-2026, October 2023. Abstract. We consider the inverse medium scattering of reconstructing the medium contrast using Born data, including the full-aperture, limited-aperture, and multifrequency data. We propose data-driven basis functions for these inverse problems based on the generalized prolate spheroidal wave functions and related
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Analysis of a Reaction-Diffusion SIR Epidemic Model with Noncompliant Behavior SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-10-06 Christian Parkinson, Weinan Wang
SIAM Journal on Applied Mathematics, Volume 83, Issue 5, Page 1969-2002, October 2023. Abstract. Recent work by public health experts suggests that incorporating human behavior is crucial in faithfully modeling an epidemic. We present a reaction-diffusion partial differential equation SIR-type population model for an epidemic including behavioral concerns. In our model, the disease spreads via mass
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Analysis of the Lévy Flight Foraging Hypothesis in [math] and Unreliability of the Most Rewarding Strategies SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-09-25 Serena Dipierro, Giovanni Giacomin, Enrico Valdinoci
SIAM Journal on Applied Mathematics, Volume 83, Issue 5, Page 1935-1968, October 2023. Abstract. We analyze the searching strategies of a forager diffusing in the whole space via an equation of fractional type. Specifically, the diffusion of the forager is regulated by a Lévy flight whose exponent can be chosen in order to optimize a suitable foraging efficiency functional. Here, the dimension of the
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Reconstruction of Multiscale Elastic Sources from Multifrequency Sparse Far Field Patterns SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-09-22 Jialei Li, Xiaodong Liu, Qingxiang Shi
SIAM Journal on Applied Mathematics, Volume 83, Issue 5, Page 1915-1934, October 2023. Abstract. We consider the inverse time-harmonic elastic source problems with multifrequency sparse far field patterns. The unknown multiscale object is a combination of point sources and an extended source with compact support. Even if the extended source is unknown, we prove that the locations and the polarization
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Bifurcation Analysis in a Tumor-Immune System Interaction Model with Dendritic Cell Therapy and Immune Response Delay SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-09-21 Yuyue Zhang, Liqi Xie, Yueping Dong, Jicai Huang, Shigui Ruan, Yasuhiro Takeuchi
SIAM Journal on Applied Mathematics, Volume 83, Issue 5, Page 1892-1914, October 2023. Abstract. In this paper, we study a tumor-immune system interaction model with dendritic cell therapy and immune response delay. First, it is shown that the ODE version of the model has a Bogdanov–Takens (BT) singularity or a weak focus with multiplicity at most 1 for different parameter values. As the parameters
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Applications of Mathematical Programming to Genetic Biocontrol SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-09-20 Váleri N. Vásquez, John M. Marshall
SIAM Journal on Applied Mathematics, Ahead of Print. Abstract. We review existing approaches to optimizing the deployment of genetic biocontrol technologies—tools used to prevent vector-borne diseases such as malaria and dengue—and formulate a mathematical program that enables the incorporation of crucial ecological and logistical details. The model is comprised of equality constraints grounded in
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Modelling Oxygenic Photogranules: Microbial Ecology and Process Performance SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-09-19 Alberto Tenore, Maria Rosaria Mattei, Luigi Frunzo
SIAM Journal on Applied Mathematics, Ahead of Print. Abstract. This work addresses the modelling of oxygenic photogranules (OPGs), by introducing a mathematical model which describes both the genesis and growth of photogranules and the related treatment process. The photogranule has been modelled as a free boundary domain with radial symmetry, which evolves over time as a result of microbial growth
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Uncovering a Two-Phase Dynamics from a Dollar Exchange Model with Bank and Debt SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-09-20 Fei Cao, Sébastien Motsch
SIAM Journal on Applied Mathematics, Volume 83, Issue 5, Page 1872-1891, October 2023. Abstract. We investigate the unbiased model for money exchanges with collective debt limit: agents give at random time a dollar to one another as long as they have at least one dollar or they can borrow a dollar from a central bank if the bank is not empty. Surprisingly, this dynamic eventually leads to an asymmetric
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The BCC Lattice in a Long-Range Interaction System SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-09-19 Xiaofeng Ren, Juncheng Wei
SIAM Journal on Applied Mathematics, Volume 83, Issue 5, Page 1854-1871, October 2023. Abstract. While the hexagonal lattice is ubiquitous in two dimensions, the body centered cubic lattice (BCC lattice) and the face centered cubic lattice are both commonly observed in three dimensions. A geometric variational problem motivated by the diblock copolymer theory consists of a short-range interaction energy
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Minimizing Congestion in Single-Source, Single-Sink Queueing Networks SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-09-15 Fabian Ying, Alisdair O. G. Wallis, Mason A. Porter, Sam D. Howison, Mariano Beguerisse-Díaz
SIAM Journal on Applied Mathematics, Volume 83, Issue 5, Page 1832-1853, October 2023. Abstract. Motivated by the modeling of customer mobility and congestion in supermarkets, we study queueing networks with a single source and a single sink. We assume that walkers traverse a network according to an unbiased random walk, and we analyze how network topology affects the total mean queue size [math],
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Basic Reproduction Ratios for Time-Periodic Homogeneous Evolution Systems SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-09-15 Feng-Bin Wang, Lei Zhang, Xiao-Qiang Zhao
SIAM Journal on Applied Mathematics, Volume 83, Issue 5, Page 1806-1831, October 2023. Abstract. This paper is devoted to the study of basic reproduction ratios [math] for time-periodic homogeneous evolution systems. We introduce the definition of [math] and show that the sign of [math] determines the stability of the zero solution for such a system. We also characterize [math] and give a numerical
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A PML Method for Signal-Propagation Problems in Axon SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-09-14 Xue Jiang, Maohui Lyu, Tao Yin, Weiying Zheng
SIAM Journal on Applied Mathematics, Volume 83, Issue 5, Page 1785-1805, October 2023. Abstract. This work is focused on the modeling of signal propagations in myelinated axons to characterize the functions of the myelin sheath in the neural structure. Based on reasonable assumptions on the medium properties, we derive a two-dimensional neural-signaling model in cylindrical coordinates from the time-harmonic
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Pattern Formation and Oscillations in Nonlinear Random Walks on Networks SIAM J. Appl. Math. (IF 1.9) Pub Date : 2023-09-14 Per Sebastian Skardal
SIAM Journal on Applied Mathematics, Volume 83, Issue 5, Page 1767-1784, October 2023. Abstract. Random walks represent an important tool for probing the structural and dynamical properties of networks and modeling transport and diffusion processes on networks. However, when individuals’ movements become dictated by more complicated factors, e.g., scenarios that involve complex decision making, the