Subjects -> MATHEMATICS (Total: 1013 journals)
    - APPLIED MATHEMATICS (92 journals)
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    - MATHEMATICS (714 journals)
    - MATHEMATICS (GENERAL) (45 journals)
    - NUMERICAL ANALYSIS (26 journals)
    - PROBABILITIES AND MATH STATISTICS (113 journals)

APPLIED MATHEMATICS (92 journals)

Showing 1 - 82 of 82 Journals sorted alphabetically
Advances in Applied Mathematics     Full-text available via subscription   (Followers: 15)
Advances in Applied Mathematics and Mechanics     Full-text available via subscription   (Followers: 6)
Advances in Applied Mechanics     Full-text available via subscription   (Followers: 15)
AKCE International Journal of Graphs and Combinatorics     Open Access  
American Journal of Applied Mathematics and Statistics     Open Access   (Followers: 11)
American Journal of Applied Sciences     Open Access   (Followers: 22)
American Journal of Modeling and Optimization     Open Access   (Followers: 3)
Annals of Actuarial Science     Full-text available via subscription   (Followers: 2)
Applied Mathematical Modelling     Full-text available via subscription   (Followers: 22)
Applied Mathematics and Computation     Hybrid Journal   (Followers: 31)
Applied Mathematics and Mechanics     Hybrid Journal   (Followers: 4)
Applied Mathematics and Nonlinear Sciences     Open Access  
Applied Mathematics and Physics     Open Access   (Followers: 2)
Biometrical Letters     Open Access  
British Actuarial Journal     Full-text available via subscription   (Followers: 2)
Bulletin of Mathematical Sciences and Applications     Open Access  
Communication in Biomathematical Sciences     Open Access   (Followers: 2)
Communications in Applied and Industrial Mathematics     Open Access   (Followers: 1)
Communications on Applied Mathematics and Computation     Hybrid Journal   (Followers: 1)
Differential Geometry and its Applications     Full-text available via subscription   (Followers: 4)
Discrete and Continuous Models and Applied Computational Science     Open Access  
Discrete Applied Mathematics     Hybrid Journal   (Followers: 10)
Doğuş Üniversitesi Dergisi     Open Access  
e-Journal of Analysis and Applied Mathematics     Open Access  
Engineering Mathematics Letters     Open Access   (Followers: 1)
European Actuarial Journal     Hybrid Journal  
Foundations and Trends® in Optimization     Full-text available via subscription   (Followers: 3)
Frontiers in Applied Mathematics and Statistics     Open Access   (Followers: 1)
Fundamental Journal of Mathematics and Applications     Open Access  
International Journal of Advances in Applied Mathematics and Modeling     Open Access   (Followers: 1)
International Journal of Applied Mathematics and Statistics     Full-text available via subscription   (Followers: 3)
International Journal of Computer Mathematics : Computer Systems Theory     Hybrid Journal  
International Journal of Data Mining, Modelling and Management     Hybrid Journal   (Followers: 10)
International Journal of Engineering Mathematics     Open Access   (Followers: 7)
International Journal of Fuzzy Systems     Hybrid Journal  
International Journal of Swarm Intelligence     Hybrid Journal   (Followers: 2)
International Journal of Theoretical and Mathematical Physics     Open Access   (Followers: 13)
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems     Hybrid Journal   (Followers: 3)
Journal of Advanced Mathematics and Applications     Full-text available via subscription   (Followers: 1)
Journal of Advances in Mathematics and Computer Science     Open Access  
Journal of Applied & Computational Mathematics     Open Access  
Journal of Applied Intelligent System     Open Access  
Journal of Applied Mathematics & Bioinformatics     Open Access   (Followers: 6)
Journal of Applied Mathematics and Physics     Open Access   (Followers: 9)
Journal of Computational Geometry     Open Access   (Followers: 3)
Journal of Innovative Applied Mathematics and Computational Sciences     Open Access   (Followers: 6)
Journal of Mathematical Sciences and Applications     Open Access   (Followers: 2)
Journal of Mathematics and Music: Mathematical and Computational Approaches to Music Theory, Analysis, Composition and Performance     Hybrid Journal   (Followers: 12)
Journal of Mathematics and Statistics Studies     Open Access  
Journal of Physical Mathematics     Open Access   (Followers: 2)
Journal of Symbolic Logic     Hybrid Journal   (Followers: 2)
Letters in Biomathematics     Open Access   (Followers: 1)
Mathematical and Computational Applications     Open Access   (Followers: 3)
Mathematical Models and Computer Simulations     Hybrid Journal   (Followers: 3)
Mathematics and Computers in Simulation     Hybrid Journal   (Followers: 3)
Modeling Earth Systems and Environment     Hybrid Journal   (Followers: 1)
Moscow University Computational Mathematics and Cybernetics     Hybrid Journal  
Multiscale Modeling and Simulation     Hybrid Journal   (Followers: 2)
Pacific Journal of Mathematics for Industry     Open Access  
Partial Differential Equations in Applied Mathematics     Open Access   (Followers: 1)
Ratio Mathematica     Open Access  
Results in Applied Mathematics     Open Access   (Followers: 1)
Scandinavian Actuarial Journal     Hybrid Journal   (Followers: 2)
SIAM Journal on Applied Dynamical Systems     Hybrid Journal   (Followers: 3)
SIAM Journal on Applied Mathematics     Hybrid Journal   (Followers: 11)
SIAM Journal on Computing     Hybrid Journal   (Followers: 11)
SIAM Journal on Control and Optimization     Hybrid Journal   (Followers: 18)
SIAM Journal on Discrete Mathematics     Hybrid Journal   (Followers: 8)
SIAM Journal on Financial Mathematics     Hybrid Journal   (Followers: 3)
SIAM Journal on Imaging Sciences     Hybrid Journal   (Followers: 7)
SIAM Journal on Mathematical Analysis     Hybrid Journal   (Followers: 4)
SIAM Journal on Matrix Analysis and Applications     Hybrid Journal   (Followers: 3)
SIAM Journal on Numerical Analysis     Hybrid Journal   (Followers: 7)
SIAM Journal on Optimization     Hybrid Journal   (Followers: 12)
SIAM Journal on Scientific Computing     Hybrid Journal   (Followers: 16)
SIAM Review     Hybrid Journal   (Followers: 9)
SIAM/ASA Journal on Uncertainty Quantification     Hybrid Journal   (Followers: 2)
Swarm Intelligence     Hybrid Journal   (Followers: 3)
Theory of Probability and its Applications     Hybrid Journal   (Followers: 2)
Uniform Distribution Theory     Open Access  
Universal Journal of Applied Mathematics     Open Access   (Followers: 2)
Universal Journal of Computational Mathematics     Open Access   (Followers: 3)
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SIAM Journal on Applied Mathematics
Journal Prestige (SJR): 1.108
Citation Impact (citeScore): 2
Number of Followers: 11  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 0036-1399 - ISSN (Online) 1095-712X
Published by Society for Industrial and Applied Mathematics Homepage  [17 journals]
  • Asymptotic Analysis on the Sharp Interface Limit of the Time-Fractional
           Cahn--Hilliard Equation

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      Authors: Tao Tang, Boyi Wang, Jiang Yang
      Pages: 773 - 792
      Abstract: SIAM Journal on Applied Mathematics, Volume 82, Issue 3, Page 773-792, June 2022.
      In this paper, we aim to study the motions of interfaces and coarsening rates governed by the time-fractional Cahn--Hilliard equation (TFCHE). It is observed by many numerical experiments that the microstructure evolution described by the TFCHE displays quite different dynamical processes compared with the classical Cahn--Hilliard equation, in particular, regarding motions of interfaces and coarsening rates. By using the method of matched asymptotic expansions, we first derive the sharp interface limit models. Then we can theoretically analyze the motions of interfaces with respect to different timescales. For instance, for the TFCHE with the constant diffusion mobility, the sharp interface limit model is a fractional Stefan problem at the timescale $t=O(1)$. However, on the timescale $t=O(\varepsilon^{-\frac1\alpha})$, the sharp interface limit model is a fractional Mullins--Sekerka model. Similar asymptotic regime results are also obtained for the case with one-sided degenerated mobility. Moreover, the scaling invariant property of the sharp interface models suggests that the TFCHE with constant mobility preserves an $\alpha/3$ coarsening rate, and a crossover of the coarsening rates from $\frac{\alpha}{3}$ to $\frac\alpha4$ is obtained for the case with one-sided degenerated mobility, in good agreement with the numerical experiments.
      Citation: SIAM Journal on Applied Mathematics
      PubDate: 2022-05-03T07:00:00Z
      DOI: 10.1137/21M1427863
      Issue No: Vol. 82, No. 3 (2022)
       
  • Coarse-Grained Stochastic Model of Myosin-Driven Vesicles into Dendritic
           Spines

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      Authors: Youngmin Park, Prashant Singh, Thomas G. Fai
      Pages: 793 - 820
      Abstract: SIAM Journal on Applied Mathematics, Volume 82, Issue 3, Page 793-820, June 2022.
      We study the dynamics of membrane vesicle motor transport into dendritic spines, which are bulbous intracellular compartments in neurons that play a key role in transmitting signals between neurons. We consider the stochastic analogue of the vesicle transport model in [Park and Fai, Bull. Math. Biol., 82 (2020), pp. 1--31]. The stochastic version, which may be considered as an agent-based model, relies mostly on the action of individual myosin motors to produce vesicle motion. To aid in our analysis, we coarse-grain this agent-based model using a master equation combined with a partial differential equation describing the probability of local motor positions. We confirm through convergence studies that the coarse-graining captures the essential features of bistability in velocity (observed in experiments) and waiting-time distributions to switch between steady-state velocities. Interestingly, these results allow us to reformulate the translocation problem in terms of the mean first passage time for a run-and-tumble particle moving on a finite domain with absorbing boundaries at the two ends. We conclude by presenting numerical and analytical calculations of vesicle translocation.
      Citation: SIAM Journal on Applied Mathematics
      PubDate: 2022-05-12T07:00:00Z
      DOI: 10.1137/21M1434180
      Issue No: Vol. 82, No. 3 (2022)
       
  • The Effect of Diffusion on the Dynamics of a Predator-Prey Chemostat Model

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      Authors: Hua Nie, Yao Shi, Jianhua Wu
      Pages: 821 - 848
      Abstract: SIAM Journal on Applied Mathematics, Volume 82, Issue 3, Page 821-848, June 2022.
      This paper deals with a diffusive predator-prey chemostat system which describes the growth of planktonic rotifers, Brachionus calyciflorus, feeding on unicellular green algae, Chlorella vulgaris. The dynamical behavior of this system is established in terms of the diffusion rate. The results show that there exist two critical diffusion rates which classify the dynamical behavior of this system into the following three scenarios: (i) for a large diffusion rate, all species will be washed out; (ii) for an intermediate diffusion rate, the predator goes extinct and the prey survives; (iii) for a small diffusion rate, all species coexist. Finally, our numerical results show that the solution of this system may undergo a steady-state bifurcation or Hopf bifurcation for a suitably small diffusion rate, which supplements our theoretical results.
      Citation: SIAM Journal on Applied Mathematics
      PubDate: 2022-05-19T07:00:00Z
      DOI: 10.1137/21M1432090
      Issue No: Vol. 82, No. 3 (2022)
       
  • Infinite Energy Cavitating Solutions: A Variational Approach

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      Authors: Pablo V. Negrón-Marrero, Jeyabal Sivaloganathan
      Pages: 849 - 871
      Abstract: SIAM Journal on Applied Mathematics, Volume 82, Issue 3, Page 849-871, June 2022.
      We study the phenomenon of cavitation for the displacement boundary value problem of radial, isotropic compressible elasticity for a class of stored energy functions of the form $W(F) + h(\det F)$, where $W$ grows like $ {F} ^n$ and $n$ is the space dimension. In this case it follows (from a result of Vodop'yanov, Gol'dshtein, and Reshetnyak) that discontinuous deformations must have infinite energy. After characterizing the rate at which this energy blows up, we introduce a modified energy functional which differs from the original by a null Lagrangian and for which cavitating energy minimizers with finite energy exist. In particular, the Euler--Lagrange equations for the modified energy functional are identical to those for the original problem except for the boundary condition at the inner cavity. This new boundary condition states that a certain modified radial Cauchy stress function has to vanish at the inner cavity. This condition corresponds to the radial Cauchy stress for the original functional diverging to $-\infty$ at the cavity surface. Many previously known variational results for finite energy cavitating solutions now follow for the modified functional, such as the existence of radial energy minimizers, satisfaction of the Euler--Lagrange equations for such minimizers, and the existence of a critical boundary displacement for cavitation. We also discuss a numerical scheme for computing these singular cavitating solutions using regular solutions for punctured balls. We show the convergence of this numerical scheme and give some numerical examples including one for the incompressible limit case. Our approach is motivated in part by the use of the “renormalized energy” for Ginzburg--Landau vortices.
      Citation: SIAM Journal on Applied Mathematics
      PubDate: 2022-05-19T07:00:00Z
      DOI: 10.1137/21M1427711
      Issue No: Vol. 82, No. 3 (2022)
       
  • Diffraction of Acoustic Waves by a Wedge of Point Scatterers

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      Authors: Matthew A. Nethercote, Anastasia V. Kisil, Raphael C. Assier
      Pages: 872 - 898
      Abstract: SIAM Journal on Applied Mathematics, Volume 82, Issue 3, Page 872-898, June 2022.
      This article considers the problem of diffraction by a wedge consisting of two semi-infinite periodic arrays of point scatterers. The solution is obtained in terms of two coupled systems, each of which is solved using the discrete Wiener--Hopf technique. An effective and accurate iterative numerical procedure is developed to solve the diffraction problem, which allows us to compute the interaction of thousands of scatterers forming the wedge. A crucial aspect of this numerical procedure is the effective truncation of slowly convergent single and double infinite series, which requires careful asymptotic analysis. A convergence criterion is formulated and shown to be satisfied for a large class of physically interesting cases. A comparison to direct numerical simulations is made, highlighting the accuracy of the method.
      Citation: SIAM Journal on Applied Mathematics
      PubDate: 2022-05-23T07:00:00Z
      DOI: 10.1137/21M1438608
      Issue No: Vol. 82, No. 3 (2022)
       
  • Effects of Asymptomatic Infections on the Spatial Spread of Infectious
           Diseases

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      Authors: Daozhou Gao, Justin M. W. Munganga, P. van den Driessche, Lei Zhang
      Pages: 899 - 923
      Abstract: SIAM Journal on Applied Mathematics, Volume 82, Issue 3, Page 899-923, June 2022.
      Asymptomatic infection and transmission are common for quite a few directly or indirectly transmitted diseases such as COVID-19, cholera, and Zika fever. In this paper, we propose a susceptible-infective-asymptomatic-recovered patch model to address the influence of asymptomatic infections on the spatial spread of infectious diseases. The multipatch basic reproduction number ${\mathcal{R}}_0$ of the model is defined and shown to be a threshold quantity for disease eradication and persistence. Namely, the disease disappears if ${\mathcal{R}}_0\le1$ whereas it spreads otherwise. The monotonicity of ${\mathcal{R}}_0$ with respect to the dispersal rates of the symptomatic and asymptomatic populations is investigated. In particular, for the two-patch case, ${\mathcal{R}}_0$ is either strictly decreasing or strictly increasing or constant in terms of dispersal rates. However, nonmonotonic dependence can occur with movement between three or more patches. The asymptotic profiles of the endemic equilibrium (when it exists) as one or all dispersal rates approach zero or infinity are studied. Interestingly, an increase in infectious dispersal may decrease ${\mathcal{R}}_0$ but increase the number of nonsusceptible individuals. Analytical and numerical results confirm that ignoring asymptomatic carriers not only significantly underestimates the infection risk but also impairs the efficacy of travel restrictions.
      Citation: SIAM Journal on Applied Mathematics
      PubDate: 2022-05-26T07:00:00Z
      DOI: 10.1137/21M1398434
      Issue No: Vol. 82, No. 3 (2022)
       
  • An Efficient Model For Scaffold Mediated Bone Regeneration

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      Authors: Patrick Dondl, Patrina S. P. Poh, Marius Zeinhofer
      Pages: 924 - 949
      Abstract: SIAM Journal on Applied Mathematics, Volume 82, Issue 3, Page 924-949, June 2022.
      We present a three-dimensional, time dependent model for bone regeneration in the presence of porous scaffolds to bridge critical-size bone defects. Our approach uses homogenized quantities, thus drastically reducing computational cost compared to models resolving the microstructural scale of the scaffold. Using abstract functional relationships instead of concrete effective material properties, our model can incorporate the homogenized material tensors for a large class of scaffold microstructure designs. We prove an existence and uniqueness theorem for solutions based on a fixed point argument. We include the cases of mixed boundary conditions and multiple, interacting signaling molecules, both being important for application. Furthermore, we present numerical simulations showing that our model can predict and quantify stress shielding effects in realistic bone healing scenarios that incorporate external fixation of the scaffold.
      Citation: SIAM Journal on Applied Mathematics
      PubDate: 2022-05-26T07:00:00Z
      DOI: 10.1137/21M1401887
      Issue No: Vol. 82, No. 3 (2022)
       
  • A Graphical Representation of Membrane Filtration

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      Authors: Binan Gu, Lou Kondic, Linda J. Cummings
      Pages: 950 - 975
      Abstract: SIAM Journal on Applied Mathematics, Volume 82, Issue 3, Page 950-975, June 2022.
      We analyze the performance of membrane filters represented by pore networks using two criteria: (1) total volumetric throughput of filtrate over the filter lifetime and (2) accumulated foulant concentration in the filtrate. We first formulate the governing equations of fluid flow on a general network, and we model transport and adsorption of particles (foulants) within the network by imposing an advection equation with a sink term on each pore (edge) as well as conservation of fluid and foulant volumetric flow rates at each pore junction (network vertex). Such a setup yields a system of partial differential equations on the network. We study the influence of three geometric network parameters on filter performance: (1) average number of neighbors of each vertex, (2) initial total void volume of the pore network, and (3) tortuosity of the network. We find that total volumetric throughput depends more strongly on the initial void volume than on average number of neighbors. Tortuosity, however, turns out to be a universal parameter, leading to almost perfect collapse of all results for a variety of different network architectures. In particular, the accumulated foulant concentration in the filtrate shows an exponential decay as tortuosity increases.
      Citation: SIAM Journal on Applied Mathematics
      PubDate: 2022-05-31T07:00:00Z
      DOI: 10.1137/21M1424743
      Issue No: Vol. 82, No. 3 (2022)
       
  • Global Stability and Canard Explosions of the Predator-Prey Model with the
           Sigmoid Functional Response

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      Authors: Wei Su, Xiang Zhang
      Pages: 976 - 1000
      Abstract: SIAM Journal on Applied Mathematics, Volume 82, Issue 3, Page 976-1000, June 2022.
      For the predator-prey model with the sigmoid functional response whose denominator has no real roots, the dynamics has already been characterized. Whereas, when the denominator has a real root, the model is singular there, and its dynamics has not been classified. This paper focuses on the case that the denominator has a repeated real root and obtains the next results. The positive equilibrium (if exists) is globally stable provided that it is locally stable. If it is a weak focus, it must be of order one and stable. When the positive equilibrium is unstable, the system has always a limit cycle, which could come from a singular Hopf bifurcation, and undergoes two consecutive canard explosions via relaxation oscillations. In addition, numerical simulations reveal that the curvature of the critical curve at the canard point affects the period of the canard cycle.
      Citation: SIAM Journal on Applied Mathematics
      PubDate: 2022-06-13T07:00:00Z
      DOI: 10.1137/21M1437755
      Issue No: Vol. 82, No. 3 (2022)
       
  • Estimating the Shannon Entropy and (Un)certainty Relations for
           Design-Structured POVMs

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      Authors: Alexey Rastegin
      Pages: 1001 - 1019
      Abstract: SIAM Journal on Applied Mathematics, Volume 82, Issue 3, Page 1001-1019, June 2022.
      Complementarity relations between various characterizations of a probability distribution are at the core of information theory. In particular, lower and upper bounds for the entropic function are of great importance. In applied topics, we often deal with situations where the sums of certain powers of probabilities are known. The main question is how to convert the imposed restrictions into two-sided estimates on the Shannon entropy. It is addressed in two different ways. The more intuitive of them is based on truncated expansions of the Taylor type. Another method is based on the use of coefficients of the shifted Chebyshev polynomials. We propose here a family of polynomials for estimating the Shannon entropy from below. As a result, estimates are more uniform in the sense that errors do not become too large in particular points. The presented method is used for deriving uncertainty and certainty relations for positive operator-valued measures assigned to a quantum design. Quantum designs are currently the subject of active researches due to potential use in quantum information science. It is shown that the derived estimates are applicable in quantum tomography and detecting steerability of quantum states.
      Citation: SIAM Journal on Applied Mathematics
      PubDate: 2022-06-13T07:00:00Z
      DOI: 10.1137/21M1408105
      Issue No: Vol. 82, No. 3 (2022)
       
  • The Beavers--Joseph Interface Boundary Condition is Well Approximated by
           the Beavers--Joseph--Saffman--Jones Interface Boundary Condition

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      Authors: Yining Cao, Xiaoming Wang
      Pages: 1020 - 1044
      Abstract: SIAM Journal on Applied Mathematics, Volume 82, Issue 3, Page 1020-1044, June 2022.
      We prove that the difference between the solutions to the Stokes--Darcy system derived using the Beavers--Joseph or Beavers--Joseph--Saffman--Jones interfacial conditions is of the order of the Darcy number assuming the Reynolds number is below an explicit threshold value. Hence, the Beavers--Joseph--Saffman--Jones interface boundary condition is an excellent approximation of the classical Beavers--Joseph interface boundary condition in the physically important small Darcy number regime.
      Citation: SIAM Journal on Applied Mathematics
      PubDate: 2022-06-14T07:00:00Z
      DOI: 10.1137/21M1462386
      Issue No: Vol. 82, No. 3 (2022)
       
  • Recovery of the Order of Derivation for Fractional Diffusion Equations in
           an Unknown Medium

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      Authors: Bangti Jin, Yavar Kian
      Pages: 1045 - 1067
      Abstract: SIAM Journal on Applied Mathematics, Volume 82, Issue 3, Page 1045-1067, June 2022.
      In this work, we investigate the recovery of a parameter in a diffusion process given by the order of derivation in time for a class of diffusion-type equations, including both classical and time-fractional diffusion equations, from the flux measurement observed at one point on the boundary. The mathematical model for time-fractional diffusion equations involves a Djrbashian--Caputo fractional derivative in time. We prove a uniqueness result in an unknown medium (e.g., diffusion coefficients, obstacle, initial condition, and source), i.e., the recovery of the order of derivation in a diffusion process having several pieces of unknown information. The proof relies on the analyticity of the solution at large time, asymptotic decay behavior, strong maximum principle of the elliptic problem, and suitable application of the Hopf lemma. Further we provide an easy-to-implement reconstruction algorithm based on a nonlinear least-squares formulation, and several numerical experiments are presented to complement the theoretical analysis.
      Citation: SIAM Journal on Applied Mathematics
      PubDate: 2022-06-23T07:00:00Z
      DOI: 10.1137/21M1398264
      Issue No: Vol. 82, No. 3 (2022)
       
  • Parametric Resonance for Enhancing the Rate of Metastable Transition

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      Authors: Ying Chao, Molei Tao
      Pages: 1068 - 1090
      Abstract: SIAM Journal on Applied Mathematics, Volume 82, Issue 3, Page 1068-1090, June 2022.
      This work is devoted to quantifying how periodic perturbation can change the rate of metastable transition in stochastic mechanical systems with weak noises. A closed-form explicit expression for approximating the rate change is provided, and the corresponding transition mechanism can also be approximated. Unlike the majority of existing relevant works, these results apply to kinetic Langevin equations with high-dimensional potentials and nonlinear perturbations. They are obtained based on a higher-order Hamiltonian formalism and perturbation analysis for the Freidlin--Wentzell action functional. This tool allowed us to show that parametric excitation at a resonant frequency can significantly enhance the rate of metastable transitions. Numerical experiments for both low-dimensional toy models and a molecular cluster are also provided. For the latter, we show that vibrating a material appropriately can help heal its defect, and our theory provides the appropriate vibration.
      Citation: SIAM Journal on Applied Mathematics
      PubDate: 2022-06-23T07:00:00Z
      DOI: 10.1137/21M144966X
      Issue No: Vol. 82, No. 3 (2022)
       
  • A Diffuse Interface Model for Cell Blebbing Including Membrane-Cortex
           Coupling with Linker Dynamics

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      Authors: Philipp Werner, Martin Burger, Florian Frank, Harald Garcke
      Pages: 1091 - 1112
      Abstract: SIAM Journal on Applied Mathematics, Volume 82, Issue 3, Page 1091-1112, June 2022.
      The aim of this paper is to develop suitable models for the phenomenon of cell blebbing, which allow for computational predictions of mechanical effects, including the crucial interaction of the cell membrane and the actin cortex. For this sake we resort to a two phase field model that uses diffuse descriptions of both the membrane and the cortex, which in particular allows for a suitable description of the interaction via linker protein densities. Besides the detailed modeling we discuss some energetic aspects of the models and present a numerical scheme, which allows us to carry out several computational studies. In those we demonstrate that several effects found in experiments can be reproduced, in particular bleb formation by cortex rupture, which was not possible by previous models without the linker dynamics.
      Citation: SIAM Journal on Applied Mathematics
      PubDate: 2022-06-30T07:00:00Z
      DOI: 10.1137/21M1433642
      Issue No: Vol. 82, No. 3 (2022)
       
 
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