Global dynamics analysis for a nonlinear HTLV-I model with logistic proliferation and CTL response

S Chen, Z Liu, L Wang, X Zhang - International Journal of …, 2024 - World Scientific
… With the idea of the above factor and the logistic proliferation of CD4+ T-cells, we establish
a HTLV-I (human T-cell leukemia virus type-I) mathematical model. First, two threshold …

Stability and bifurcation analysis for a delayed viral infection model with full logistic proliferation

Y Geng, J Xu - International Journal of Biomathematics, 2020 - World Scientific
… and full logistic proliferations … proliferation rate of CD4+ T cells is inversely correlated with
absolute concentration of CD4+ T cells. Mathematical models with simple logistic proliferation

A noble extended stochastic logistic model for cell proliferation with density-dependent parameters

T Roy, S Ghosh, B Saha, S Bhattacharya - Scientific Reports, 2022 - nature.com
… capture such a proliferation mechanism. We propose an extended logistic growth law with …
-cell cooperation and negative feedback on cell proliferation. Moreover, we incorporate further …

Experimental analysis and modelling of in vitro proliferation of mesenchymal stem cells

L Mancuso, MI Liuzzo, S Fadda, M Pisu… - … Proliferation, 2009 - Wiley Online Library
Proliferation kinetics were interpreted by means of a simple, generalized logistic equation
as … PBE model capable to simulate of stem cell proliferation up to confluence in Petri dishes. …

[HTML][HTML] Logistic growth modelling of COVID-19 proliferation in China and its international implications

CY Shen - International Journal of Infectious Diseases, 2020 - Elsevier
… This study applied a logistic growth function with parameters estimated by a non-linear
least squares (NLS) method to model and analyze time-series data from eleven provinces and …

Age structure can account for delayed logistic proliferation of scratch assays

AV Ponce Bobadilla, T Carraro, HM Byrne… - Bulletin of Mathematical …, 2019 - Springer
… migration by Fickian diffusion and proliferation by a logistic term. In a recent … proliferation
is not logistic, and this is followed by a growth phase where proliferation appears to be logistic. …

Logistic proliferation of cells in scratch assays is delayed

W Jin, ET Shah, CJ Penington, SW McCue… - Bulletin of Mathematical …, 2017 - Springer
… model to the cell density information, our results suggest that the logistic equation is relevant
for the proliferation assays but only for the later phase in the scratch assays. We conclude …

A unified model of sigmoid tumour growth based on cell proliferation and quiescence

F Kozusko, M Bourdeau - Cell proliferation, 2007 - Wiley Online Library
… We have discussed the possible aspects of the efficacy of therapy relative to the model
and the relevance of the proliferation fraction profile. Figure 4 shows that generalized Logistic

Outbreak analysis with a logistic growth model shows COVID-19 suppression dynamics in China

Y Zou, S Pan, P Zhao, L Han, X Wang, L Hemerik… - PLoS …, 2020 - journals.plos.org
… We review the epidemic virus growth and decline curves in China using a phenomenological
logistic growth model to summarize the outbreak dynamics using three parameters that …

Rich dynamics of a hepatitis B viral infection model with logistic hepatocyte growth

S Hews, S Eikenberry, JD Nagy, Y Kuang - Journal of Mathematical …, 2010 - Springer
… disease state, and that biologically plausible dynamics are observed overall. The importance
of infected hepatocyte proliferation and the effect of proliferation on viral replication in our …