Search Results - "ANDERSON, DAVID F"
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A PROOF OF THE GLOBAL ATTRACTOR CONJECTURE IN THE SINGLE LINKAGE CLASS CASE
Published in SIAM journal on applied mathematics (01-01-2011)“…This paper is concerned with the dynamical properties of deterministically modeled chemical reaction systems. Specifically, this paper provides a proof of the…”
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2
Product-Form Stationary Distributions for Deficiency Zero Chemical Reaction Networks
Published in Bulletin of mathematical biology (01-11-2010)“…We consider stochastically modeled chemical reaction systems with mass-action kinetics and prove that a product-form stationary distribution exists for each…”
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3
Lyapunov Functions, Stationary Distributions, and Non-equilibrium Potential for Reaction Networks
Published in Bulletin of mathematical biology (01-09-2015)“…We consider the relationship between stationary distributions for stochastic models of reaction systems and Lyapunov functions for their deterministic…”
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Mixing times for two classes of stochastically modeled reaction networks
Published in Mathematical biosciences and engineering : MBE (01-01-2023)“…The past few decades have seen robust research on questions regarding the existence, form, and properties of stationary distributions of stochastically modeled…”
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5
Distribution of preoperative and postoperative astigmatism in a large population of patients undergoing cataract surgery in the UK
Published in British journal of ophthalmology (01-07-2019)“…To assess the prevalence and severity of preoperative and postoperative astigmatism in patients with cataract in the UK. Data from 8 UK National Health Service…”
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6
Determinants of visual quality after endothelial keratoplasty
Published in Survey of ophthalmology (01-05-2016)“…Abstract Endothelial keratoplasty is now favored over full-thickness penetrating keratoplasty for corneal decompensation secondary to endothelial dysfunction…”
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7
Results on stochastic reaction networks with non-mass action kinetics
Published in Mathematical biosciences and engineering : MBE (01-01-2019)“…In 2010, Anderson, Craciun, and Kurtz showed that if a deterministically modeled reaction network is complex balanced, then the associated stochastic model…”
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Simultaneous tectonic Descemet stripping endothelial keratoplasty and tectonic Bowman layer transplant for the management of corneal perforation
Published in International journal of ophthalmology (18-09-2023)“…AIM: To report the outcomes of three cases of corneal perforation managed with simultaneous tectonic Descemet stripping endothelial keratoplasty (t-DSEK) and…”
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Models to predict prevalence and transition dynamics of methicillin-resistant Staphylococcus aureus in community nursing homes
Published in American journal of infection control (01-05-2016)“…Highlights • Non-USA300 was predicted to remain the dominant MRSA strain in community nursing homes. At steady-state, 20% (95% CI, 15-25%) of residents were…”
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WEAKLY (m, n)-CLOSED IDEALS AND (m, n)-VON NEUMANN REGULAR RINGS
Published in Journal of the Korean Mathematical Society (2018)“…Let R be a commutative ring with $1{\neq}0$, I a proper ideal of R, and m and n positive integers. In this paper, we define I to be a weakly (m, n)-closed…”
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Comparison of visual performance with an aspheric intraocular lens and a spherical intraocular lens
Published in Journal of cataract and refractive surgery (01-11-2011)“…Purpose To compare the visual performance after implantation of the Akreos Adapt Advanced Optics aspheric intraocular lens (IOL) and the Sensar AR40e spherical…”
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Modified thin manual Descemet stripping endothelial keratoplasty with air-guided, non-pachymetric donor lenticule dissection: outcomes of graft thickness and complication rate
Published in International journal of ophthalmology (18-02-2020)“…To describe a modified technique of donor lenticule dissection for thin manual Descemet stripping endothelial keratoplasty (TM-DSEK). Donor material was soaked…”
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AN EFFICIENT FINITE DIFFERENCE METHOD FOR PARAMETER SENSITIVITIES OF CONTINUOUS TIME MARKOV CHAINS
Published in SIAM journal on numerical analysis (01-01-2012)“…We present an efficient finite difference method for the computation of parameter sensitivities that is applicable to a wide class of continuous time Markov…”
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14
On reaction network implementations of neural networks
Published in Journal of the Royal Society interface (01-04-2021)“…This paper is concerned with the utilization of deterministically modelled chemical reaction networks for the implementation of (feed-forward) neural networks…”
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15
The intersection subgroup graph of a group
Published in Communications in algebra (03-08-2023)“…Let G be a group. In this paper, we introduce and study the intersection subgroup graph of G as the (simple) graph with vertices the nontrivial subgroups H of…”
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Identifying conditions for elimination and epidemic potential of methicillin-resistant Staphylococcus aureus in nursing homes
Published in Antimicrobial resistance & infection control (22-09-2016)“…Residents of nursing homes are commonly colonized with methicillin-resistant Staphylococcus aureus (MRSA) but there is a limited understanding of the dynamics…”
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Non-explosivity of Stochastically Modeled Reaction Networks that are Complex Balanced
Published in Bulletin of mathematical biology (01-10-2018)“…We consider stochastically modeled reaction networks and prove that if a constant solution to the Kolmogorov forward equation decays fast enough relatively to…”
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On n-Absorbing Ideals of Commutative Rings
Published in Communications in algebra (01-05-2011)“…Let R be a commutative ring with 1 ≠ 0 and n a positive integer. In this article, we study two generalizations of a prime ideal. A proper ideal I of R is…”
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Discrepancies between extinction events and boundary equilibria in reaction networks
Published in Journal of mathematical biology (01-09-2019)“…Reaction networks are mathematical models of interacting chemical species that are primarily used in biochemistry. There are two modeling regimes that are…”
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The n-zero-divisor graph of a commutative semigroup
Published in Communications in algebra (03-10-2022)“…Let S be a (multiplicative) commutative semigroup with 0, Z(S) the set of zero-divisors of S, and n a positive integer. The zero-divisor graph of S is the…”
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