Now showing items 59-78 of 147

• #### Global dynamics of two-compartment models for cell production systems with regulatory mechanisms ﻿

(2013-12-31)
We present a global stability analysis of two-compartment models of a hierarchical cell production system with a nonlinear regulatory feedback loop. The models describe cell differentiation processes with the stem cell ...
• #### Global stability for a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population ﻿

(2012-12-31)
In this paper, we propose a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population, which is derived from the continuous case by using the well-known backward Euler method ...
• #### Global stability for a discrete SIS epidemic model with immigration of infectives ﻿

(2012-12-31)
In this paper, we propose a discrete-time SIS epidemic model which is derived from continuous-time SIS epidemic models with immigration of infectives by the backward Euler method. For the discretized model, by applying new ...
• #### Global stability of a delayed SIRS epidemic model with a non-monotonic incidence rate ﻿

(2011-12-31)
In this paper, we investigate a disease transmission model of SIRS type with latent period τ≥0 and the specific nonmonotone incidence rate, namely, For the basic reproduction number R0&gt;1, applying monotone iterative ...
• #### Global stability of SIR epidemic models with a wide class of nonlinear incidence rates and distributed delays ﻿

(2011-12-31)
In this paper, we establish the global asymptotic stability of equi-libria for an SIR model of infectious diseases with distributed time delays gov-erned by a wide class of nonlinear incidence rates. We obtain the global ...
• #### Global stability of sirs epidemic models with a class of nonlinear incidence rates and distributed delays ﻿

(2012-12-31)
In this article, we establish the global asymptotic stability of a disease-free equilibrium and an endemic equilibrium of an SIRS epidemic model with a class of nonlinear incidence rates and distributed delays. By using ...
• #### Hartman effect and weak measurements that are not really weak ﻿

(2011-12-31)
We show that in wave packet tunneling, localization of the transmitted particle amounts to a quantum measurement of the delay it experiences in the barrier. With no external degree of freedom involved, the envelope of the ...
• #### Hidden electronic rule in the "cluster-plus-glue-Atom" model ﻿

(2016-10-01)
Electrons and their interactions are intrinsic factors to affect the structure and properties of materials. Based on the “cluster-cluster-plus-glue-atom” model, an electron counting rule for complex metallic alloys (CMAs) ...
• #### Higher-order nonlinear electromechanical effects in wurtzite GaN/AlN quantum dots ﻿

(2010-12-31)
As we demonstrated earlier, conventional mathematical models based on linear approximations may be inadequate in the analysis of properties of low-dimensional nanostructures and band structure calculations. In this work, ...
• #### Impact of competitive processes on controlled radical polymerization ﻿

(2014-12-31)
The kinetics of radical polymerization have been systematically studied for nearly a century and in general are well understood. However, in light of recent developments in controlled radical polymerization many kinetic ...
• #### Influence of electromechanical effects and wetting layers on band structures of AlN/GaN quantum dots and spin control ﻿

(2010-12-31)
In a series of recent papers we demonstrated that coupled electromechanical effects can lead to pronounced contributions in band structure calculations of low dimensional semiconductor nanostructures (LDSNs) such as quantum ...
• #### Interference mechanism of seemingly superluminal tunneling ﻿

(2013-12-31)
Apparently "superluminal" transmission, e.g., in quantum tunneling and its variants, occurs via a subtle interference mechanism which allows reconstruction of the entire spatial shape of a wave packet from its front tail. ...
• #### The JBEI quantitative metabolic modeling library (jQMM): a python library for modeling microbial metabolism ﻿

(2017-01-01)
Modeling of microbial metabolism is a topic of growing importance in biotechnology. Mathematical modeling helps provide a mechanistic understanding for the studied process, separating the main drivers from the circumstantial ...
• #### Kinetic Parameter Estimation from Spectroscopic Data for a Multi-Stage Solid-Liquid Pharmaceutical Process ﻿

(2020-08-07)
Laboratory and process measurements from spectroscopic instruments are ubiquitous in pharma processes, and directly using the data can pose a number of challenges for kinetic model building. Moreover, scaling up from ...
• #### Lessons from Two Design–Build–Test–Learn Cycles of Dodecanol Production in Escherichia coli Aided by Machine Learning ﻿

(2019-01-01)
The Design–Build–Test–Learn (DBTL) cycle, facilitated by exponentially improving capabilities in synthetic biology, is an increasingly adopted metabolic engineering framework that represents a more systematic and efficient ...
• #### Low-traffic limit and first-passage times for a simple model of the continuous double auction ﻿

(2017-05)
We consider a simplified model of the continuous double auction where prices are integers varying from 1 to $N$ with limit orders and market orders, but quantity per order limited to a single share. For this model, the ...
• #### Lyapunov functional techniques for the global stability analysis of a delayed SIRS epidemic model ﻿

(2012-12-31)
In this paper, we study the global dynamics of a delayed SIRS epidemic model for transmission of disease with a class of nonlinear incidence rates of the form βS(t)∫ 0 hf(τ)G(I(t-τ))dτ. Applying Lyapunov functional techniques ...
• #### A Machine Learning Approach to Predict Metabolic Pathway Dynamics from Time Series Multiomics Data ﻿

(2018-05)
New synthetic biology capabilities hold the promise of dramatically improving our ability to engineer biological systems. However, a fundamental hurdle in realizing this potential is our inability to accurately predict ...
• #### Machine learning framework for assessment of microbial factory performance ﻿

(2019-01-01)
Metabolic models can estimate intrinsic product yields for microbial factories, but such frameworks struggle to predict cell performance (including product titer or rate) under suboptimal metabolism and complex bioprocess ...
• #### Manipulation of single electron spin in a GaAs quantum dot through the application of geometric phases: The Feynman disentangling technique ﻿

(2010-12-31)
The spin of a single electron in an electrically defined quantum dot in a two-dimensional electron gas can be manipulated by moving the quantum dot adiabatically in a closed loop in the two-dimensional plane under the ...