List of works - Grant D. Lythe

A mathematical perspective on CD4(+) T cell quorum-sensing

scientific article

A new mechanism shapes the naïve CD8+ T cell repertoire: the selection for full diversity ⬇️

scientific article published on 14 February 2017

A stochastic T cell response criterion

scientific article published on 28 June 2012

Accurate Stationary Densities with Partitioned Numerical Methods for Stochastic Differential Equations

article by Kevin Burrage & Grant D. Lythe published January 2009 in SIAM Journal on Numerical Analysis

Asymmetric cell division during T cell development controls downstream fate ⬇️

scientific article

Continuous Effector CD8(+) T Cell Production in a Controlled Persistent Infection Is Sustained by a Proliferative Intermediate Population ⬇️

scientific article published on 09 July 2016

Deterministic and stochastic naive T cell population dynamics: symmetric and asymmetric cell division

article

Dielectric nonlinearity and stochastic effects in strontium titanate

scholarly article by Alp T. Findikoğlu et al published 6 May 2002 in Applied Physics Letters

Diffusion-limited reaction in one dimension

article published in 2006

Diffusion-limited reaction in one dimension: Paired and unpaired nucleation

Domain formation in transitions with noise and a time-dependent bifurcation parameter

scientific article published on 01 May 1996

Dynamics of Kinks: Nucleation, Diffusion, and Annihilation

scientific article published in Physical Review Letters

Dynamics of defect formation

article

First passage events in biological systems with non-exponential inter-event times ⬇️

scientific article published in Scientific Reports

From pre-DP, post-DP, SP4, and SP8 Thymocyte Cell Counts to a Dynamical Model of Cortical and Medullary Selection ⬇️

scientific article published on 14 February 2014

How many TCR clonotypes does a body maintain? ⬇️

scientific article

How many dendritic cells are required to initiate a T-cell response?

article

Kink stochastics

Low pump limit of the bifurcation to periodic intensities in a semiconductor laser subject to external optical feedback

article by Grant D. Lythe et al published 1 June 1997 in Physical Review A

Mathematical Model of Naive T Cell Division and Survival IL-7 Thresholds

scientific article published on 23 December 2013

Mathematics in modern immunology ⬇️

scientific article

Modeling early events in Francisella tularensis pathogenesis ⬇️

scientific article published on 11 December 2014

Noise and slow-fast dynamics in a three-wave resonance problem

article

Numerical Experiments on Noisy Chains: From Collective Transitions to Nucleation-Diffusion

Numerical Methods for Second‐Order Stochastic Differential Equations

article by Kevin Burrage et al published January 2007 in SIAM Journal on Scientific and Statistical Computing

Quantification of Ebola virus replication kinetics in vitro

scientific article published on 02 November 2020

Quorum-Sensing in CD4(+) T Cell Homeostasis: A Hypothesis and a Model. ⬇️

scientific article

Receptor Pre-Clustering and T cell Responses: Insights into Molecular Mechanisms

scientific article published on 30 April 2014

Rice's ansatz for overdamped phi4 kinks at finite temperature

scientific article

Slowly Passing through Resonance Strongly Depends on Noise

scientific article published in Physical Review Letters

Stochastic PDEs: convergence to the continuum?

article

Stochastic competitive exclusion in the maintenance of the naïve T cell repertoire

scientific article published on 13 May 2010

Stochastic dynamics of Francisella tularensis infection and replication

scientific article published on 01 June 2020

T cell and reticular network co-dependence in HIV infection ⬇️

scientific article

T-cell movement on the reticular network ⬇️

scientific article published on November 12, 2011

The limiting conditional probability distribution in a stochastic model of T cell repertoire maintenance

scientific article published on 6 January 2010

Transmission, Reflection, and Second-Harmonic Generation in a Nonlinear Waveguide

article

List of works by Grant D. Lythe

A mathematical perspective on CD4(+) T cell quorum-sensing

A new mechanism shapes the naïve CD8+ T cell repertoire: the selection for full diversity ⬇️

A stochastic T cell response criterion

Accurate Stationary Densities with Partitioned Numerical Methods for Stochastic Differential Equations

Asymmetric cell division during T cell development controls downstream fate ⬇️

Continuous Effector CD8(+) T Cell Production in a Controlled Persistent Infection Is Sustained by a Proliferative Intermediate Population ⬇️

Deterministic and stochastic naive T cell population dynamics: symmetric and asymmetric cell division

Dielectric nonlinearity and stochastic effects in strontium titanate

Diffusion-limited reaction in one dimension

Diffusion-limited reaction in one dimension: Paired and unpaired nucleation

Domain formation in transitions with noise and a time-dependent bifurcation parameter

Dynamics of Kinks: Nucleation, Diffusion, and Annihilation

Dynamics of defect formation

First passage events in biological systems with non-exponential inter-event times ⬇️

From pre-DP, post-DP, SP4, and SP8 Thymocyte Cell Counts to a Dynamical Model of Cortical and Medullary Selection ⬇️

How many TCR clonotypes does a body maintain? ⬇️

How many dendritic cells are required to initiate a T-cell response?

Kink stochastics

Low pump limit of the bifurcation to periodic intensities in a semiconductor laser subject to external optical feedback

Mathematical Model of Naive T Cell Division and Survival IL-7 Thresholds

Mathematics in modern immunology ⬇️

Modeling early events in Francisella tularensis pathogenesis ⬇️

Noise and slow-fast dynamics in a three-wave resonance problem

Numerical Experiments on Noisy Chains: From Collective Transitions to Nucleation-Diffusion

Numerical Methods for Second‐Order Stochastic Differential Equations

Quantification of Ebola virus replication kinetics in vitro

Quorum-Sensing in CD4(+) T Cell Homeostasis: A Hypothesis and a Model. ⬇️

Receptor Pre-Clustering and T cell Responses: Insights into Molecular Mechanisms

Rice's ansatz for overdamped phi4 kinks at finite temperature

Slowly Passing through Resonance Strongly Depends on Noise

Stochastic PDEs: convergence to the continuum?

Stochastic competitive exclusion in the maintenance of the naïve T cell repertoire

Stochastic dynamics of Francisella tularensis infection and replication

T cell and reticular network co-dependence in HIV infection ⬇️

T-cell movement on the reticular network ⬇️

The limiting conditional probability distribution in a stochastic model of T cell repertoire maintenance

Transmission, Reflection, and Second-Harmonic Generation in a Nonlinear Waveguide