Guy Katriel
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View article: Nonlocal origin and correlations in the Johnson noise at nonuniform temperature
Nonlocal origin and correlations in the Johnson noise at nonuniform temperature Open
The conventional description of thermal noise in conductors (the Nyquist scenario) assumes that this noise has local origin and, therefore, the noise in the emf (electromotive force) in a conductor with nonuniform temperature can be descri…
View article: Nonlocal origin and correlations in the Johnson noise at nonuniform temperature
Nonlocal origin and correlations in the Johnson noise at nonuniform temperature Open
The conventional description of thermal noise in conductors (the Nyquist scenario) assumes that this noise has local origin and, therefore, the noise in the emf (electromotive force) in a conductor with nonuniform temperature can be descri…
View article: Optimal regulation in a periodic environment: insights from a simple model
Optimal regulation in a periodic environment: insights from a simple model Open
We perform a detailed study of a simple mathematical model addressing the problem of optimally regulating a process subject to periodic external forcing, which is interesting both in view of its direct applications and as a prototype for m…
View article: Optimizing antimicrobial treatment schedules: some fundamental analytical results
Optimizing antimicrobial treatment schedules: some fundamental analytical results Open
This work studies fundamental questions regarding the optimal design of antimicrobial treatment protocols, using standard pharmacodynamic and pharmacokinetic mathematical models. We consider the problem of designing an antimicrobial treatm…
View article: Optimal vaccination at high reproductive numbers: sharp transitions and counterintuitive allocations
Optimal vaccination at high reproductive numbers: sharp transitions and counterintuitive allocations Open
Optimization of vaccine allocations among different segments of a heterogeneous population is important for enhancing the effectiveness of vaccination campaigns in reducing the burden of epidemics. Intuitively, it would seem that allocatio…
View article: Gene Transfer-based Phylogenetics: Analytical Expressions and Additivity via Birth–Death Theory
Gene Transfer-based Phylogenetics: Analytical Expressions and Additivity via Birth–Death Theory Open
The genomic era has opened up vast opportunities in molecular systematics, one of which is deciphering the evolutionary history in fine detail. Under this mass of data, analysing the point mutations of standard markers is too crude and slo…
View article: Population-level implications of the Israeli booster campaign to curtail COVID-19 resurgence
Population-level implications of the Israeli booster campaign to curtail COVID-19 resurgence Open
Israel was one of the first countries to administer mass vaccination against severe acute respiratory syndrome coronavirus 2. Consequently, it was among the first countries to experience substantial breakthrough infections due to the wanin…
View article: The role of childrens’ vaccination for COVID-19—Pareto-optimal allocations of vaccines
The role of childrens’ vaccination for COVID-19—Pareto-optimal allocations of vaccines Open
COVID-19 vaccines have been approved for children of age five and older in many countries. However, there is an ongoing debate as to whether children should be vaccinated and at what priority. In this work, we use mathematical modeling and…
View article: Optimal vaccination at high reproductive numbers: sharp transitions and counter-intuitive allocations
Optimal vaccination at high reproductive numbers: sharp transitions and counter-intuitive allocations Open
Optimization of vaccine allocations among different segments of a heterogeneous population is important for enhancing the effectiveness of vaccination campaigns in reducing the burden of epidemics. Intuitively, it would seem that allocatio…
View article: Booster vaccination to curtail COVID-19 resurgence - population-level implications of the Israeli campaign
Booster vaccination to curtail COVID-19 resurgence - population-level implications of the Israeli campaign Open
Israel was one of the first countries to administer mass vaccination. Consequently, it was among the first countries to experience significant breakthrough infections due to the waning of vaccine-induced immunity, which led to a resurgence…
View article: The role of childrens’ vaccination for COVID-19 - Pareto-optimal allocations of vaccines
The role of childrens’ vaccination for COVID-19 - Pareto-optimal allocations of vaccines Open
The ultimate goal of COVID-19 vaccination campaigns is to enable the return of societies and economies to a state of normality. While vaccines have been approved for children of age 12 and older, there is an ongoing debate as to whether ch…
View article: Dispersal-induced growth in a time-periodic environment
Dispersal-induced growth in a time-periodic environment Open
Dispersal-induced growth (DIG) occurs when two populations with time-varying growth rates, each of which, when isolated, would become extinct, are able to persist and grow exponentially when dispersal among the two populations is present. …
View article: The role of children in the spread of COVID-19: Using household data from Bnei Brak, Israel, to estimate the relative susceptibility and infectivity of children
The role of children in the spread of COVID-19: Using household data from Bnei Brak, Israel, to estimate the relative susceptibility and infectivity of children Open
One of the significant unanswered questions about COVID-19 epidemiology relates to the role of children in transmission. This study uses data on infections within households in order to estimate the susceptibility and infectivity of childr…
View article: The role of children in the spread of COVID-19: Using household data from Bnei Brak, Israel, to estimate the relative susceptibility and infectivity of children
The role of children in the spread of COVID-19: Using household data from Bnei Brak, Israel, to estimate the relative susceptibility and infectivity of children Open
Summary Background One of the significant unanswered questions about COVID-19 epidemiology relates to the role of children in transmission. In this study we estimate susceptibility and infectivity of children compared to those of adults. U…
View article: ESTIMATING THE RATE OF DEFECTS UNDER IMPERFECT SAMPLING INSPECTION—A NEW APPROACH
ESTIMATING THE RATE OF DEFECTS UNDER IMPERFECT SAMPLING INSPECTION—A NEW APPROACH Open
We consider the problem of estimating the rate of defects (mean number of defects per item), given the counts of defects detected by two independent imperfect inspectors on one sample of items. In contrast with the setting for the well-kno…
View article: Linearization of holomorphic semicocycles in Banach spaces
Linearization of holomorphic semicocycles in Banach spaces Open
We consider holomorphic semicocycles on the open unit ball in a Banach space taking values in a Banach algebra. We establish criteria for a semicocycle to be linearizable, that is, cohomologically equivalent to one independent of the spati…
View article: The dynamics of two-stage contagion
The dynamics of two-stage contagion Open
We explore simple models aimed at the study of social contagion, in which\ncontagion proceeds through two stages. When coupled with demographic turnover,\nwe show that two-stage contagion leads to nonlinear phenomena which are not\npresent…
View article: Noncommutative Holomorphic Semicocycles
Noncommutative Holomorphic Semicocycles Open
This paper studies holomorphic semicocycles over semigroups in the unit disk, which take values in an arbitrary unital Banach algebra. We prove that every such semicocycle is a solution to a corresponding evolution problem. We then investi…
View article: Continuous and holomorphic semicocycles in Banach spaces
Continuous and holomorphic semicocycles in Banach spaces Open
We study some fundamental properties of semicocycles over semigroups of self-mappings of a domain in a Banach space. We prove that any semicocycle over a jointly continuous semigroup is itself jointly continuous. For semicocycles over semi…
View article: Estimating an incidence rate based on two imperfect observers
Estimating an incidence rate based on two imperfect observers Open
We consider the problem of estimating the rate of defects (mean number of defects per item), given the counts of defects detected by two independent imperfect inspectors on one sample of items. In contrast with the setting for the well-kno…
View article: Spline functions, the discrete biharmonic operator and approximate eigenvalues
Spline functions, the discrete biharmonic operator and approximate eigenvalues Open
The biharmonic operator plays a central role in a wide array of physical models, notably in elasticity theory and the streamfunction formulation of the Navier-Stokes equations. The need for corresponding numerical simulations has led, in r…
View article: Spline functions and the discrete biharmonic operator
Spline functions and the discrete biharmonic operator Open
The biharmonic operator plays a central role in a wide array of physical models, notably in elasticity theory and the streamfunction formulation of the Navier-Stokes equations. The need for corresponding numerical simulations has led, in r…
View article: Model-based reconstruction of an epidemic using multiple datasets: understanding influenza A/H1N1 pandemic dynamics in Israel
Model-based reconstruction of an epidemic using multiple datasets: understanding influenza A/H1N1 pandemic dynamics in Israel Open
Intensified surveillance during the 2009 A/H1N1 influenza pandemic in Israel resulted in large virological and serological datasets, presenting a unique opportunity for investigating the pandemic dynamics. We employ a conditional likelihoo…