Stationary distribution and extinction for a stochastic two-compartment model of B-cell chronic lymphocytic leukemia

2021 ◽  
pp. 2150065
Author(s):  
Miaomiao Gao ◽  
Daqing Jiang ◽  
Xiangdan Wen
Keyword(s):  
Chronic Lymphocytic Leukemia ◽  
Stationary Distribution ◽  
Lyapunov Functions ◽  
Dynamical Behavior ◽  
Sufficient Conditions ◽  
Compartment Model ◽  
Lymphocytic Leukemia ◽  
Two Compartment Model ◽  
Theoretical Results ◽  
Cell Chronic Lymphocytic Leukemia

In this paper, we study the dynamical behavior of a stochastic two-compartment model of [Formula: see text]-cell chronic lymphocytic leukemia, which is perturbed by white noise. Firstly, by constructing suitable Lyapunov functions, we establish sufficient conditions for the existence of a unique ergodic stationary distribution. Then, conditions for extinction of the disease are derived. Furthermore, numerical simulations are presented for supporting the theoretical results. Our results show that large noise intensity may contribute to extinction of the disease.

scholarly journals Dynamics of a stochastic HIV/AIDS model with treatment under regime switching

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Miaomiao Gao ◽  
Daqing Jiang ◽  
Tasawar Hayat ◽  
Ahmed Alsaedi ◽  
Bashir Ahmad
Keyword(s):  
Stationary Distribution ◽  
Regime Switching ◽  
Lyapunov Functions ◽  
Sufficient Conditions ◽  
Aids Model ◽  
Telegraph Noise ◽  
Spread Dynamics ◽  
Global Positive Solution ◽  
Theoretical Results ◽  
Hiv Aids

<p style='text-indent:20px;'>This paper focuses on the spread dynamics of an HIV/AIDS model with multiple stages of infection and treatment, which is disturbed by both white noise and telegraph noise. Switching between different environmental states is governed by Markov chain. Firstly, we prove the existence and uniqueness of the global positive solution. Then we investigate the existence of a unique ergodic stationary distribution by constructing suitable Lyapunov functions with regime switching. Furthermore, sufficient conditions for extinction of the disease are derived. The conditions presented for the existence of stationary distribution improve and generalize the previous results. Finally, numerical examples are given to illustrate our theoretical results.</p>

Abnormal Intracellular Level of Bax in CD3 + Cells from Untreated B-Cell Chronic Lymphocytic Leukemia Patients

2006 ◽  
Vol 12 (4) ◽  
pp. 187-192
Author(s):  
F. Scamardella ◽  
M. Maconi ◽  
L. Albertazzi ◽  
B. Gamberi ◽  
L. Gugliotta ◽  
...  
Keyword(s):  
Chronic Lymphocytic Leukemia ◽  
B Cell ◽  
Lymphocytic Leukemia ◽  
Intracellular Level ◽  
Cell Chronic Lymphocytic Leukemia

Cutaneous leukocytoclastic vasculitis in B-cell chronic lymphocytic leukemia patients

2019 ◽  
Vol 154 (5) ◽  
Author(s):  
Alessandro Pileri ◽  
Carlotta Baraldi ◽  
Alessandro Broccoli ◽  
Roberto Maglie ◽  
Annalisa Patrizi ◽  
...  
Keyword(s):  
Chronic Lymphocytic Leukemia ◽  
B Cell ◽  
Leukocytoclastic Vasculitis ◽  
Lymphocytic Leukemia ◽  
Cell Chronic Lymphocytic Leukemia

scholarly journals Relation of Gene Expression Phenotype to Immunoglobulin Mutation Genotype in B Cell Chronic Lymphocytic Leukemia

2001 ◽  
Vol 194 (11) ◽  
pp. 1639-1648 ◽  
Author(s):  
Andreas Rosenwald ◽  
Ash A. Alizadeh ◽  
George Widhopf ◽  
Richard Simon ◽  
R. Eric Davis ◽  
...  
Keyword(s):  
Gene Expression ◽  
Chronic Lymphocytic Leukemia ◽  
B Cell ◽  
Germ Line ◽  
Gene Expression Signature ◽  
Lymphocytic Leukemia ◽  
Common Mechanism ◽  
Human Leukemia ◽  
Mutational Status ◽  
Cell Chronic Lymphocytic Leukemia

The most common human leukemia is B cell chronic lymphocytic leukemia (CLL), a malignancy of mature B cells with a characteristic clinical presentation but a variable clinical course. The rearranged immunoglobulin (Ig) genes of CLL cells may be either germ-line in sequence or somatically mutated. Lack of Ig mutations defined a distinctly worse prognostic group of CLL patients raising the possibility that CLL comprises two distinct diseases. Using genomic-scale gene expression profiling, we show that CLL is characterized by a common gene expression “signature,” irrespective of Ig mutational status, suggesting that CLL cases share a common mechanism of transformation and/or cell of origin. Nonetheless, the expression of hundreds of other genes correlated with the Ig mutational status, including many genes that are modulated in expression during mitogenic B cell receptor signaling. These genes were used to build a CLL subtype predictor that may help in the clinical classification of patients with this disease.

scholarly journals A 58‐year‐old man with B‐cell chronic lymphocytic leukemia and multiple strokes

2021 ◽  
Author(s):  
Francesca Magrinelli ◽  
Sara Mariotto ◽  
Gianpaolo Nadali ◽  
Giuseppe Todeschini ◽  
Massimiliano Lanzafame ◽  
...  
Keyword(s):  
Chronic Lymphocytic Leukemia ◽  
B Cell ◽  
Lymphocytic Leukemia ◽  
Cell Chronic Lymphocytic Leukemia

A novel monoclonal antibody recognizing human thymocytes and B-cell chronic lymphocytic leukemia cells

1994 ◽  
Vol 39 (2) ◽  
pp. 137-146 ◽  
Author(s):  
P. Tassone ◽  
P. Bonelli ◽  
F. Tuccillo ◽  
H.M. Bond ◽  
M.C. Turco ◽  
...  
Keyword(s):  
Monoclonal Antibody ◽  
Chronic Lymphocytic Leukemia ◽  
B Cell ◽  
Lymphocytic Leukemia ◽  
Leukemia Cells ◽  
Cell Chronic Lymphocytic Leukemia
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