Asymptotic behavior of distributions of mRNA and protein levels in a model of stochastic gene expression
نویسندگان
چکیده
The paper is devoted to a stochastic process introduced in the recent paper by Lipniacki et al. [T. Lipniacki, P. Paszek, A. Marciniak-Czochra, A.R. Brasier, M. Kimmel, Transcriptional stochasticity in gene expression, J. Theor. Biol. 238 (2006) 348–367] in modelling gene expression in eukaryotes. Starting from the full generator of the process we show that its distributions satisfy a (Fokker–Planck-type) system of partial differential equations. Then, we construct a c0 Markov semigroup in L 1 space corresponding to this system. The main result of the paper is asymptotic stability of the involved semigroup in the set of densities. © 2006 Published by Elsevier Inc.
منابع مشابه
Methylation and mRNA expression levels of P15, death-associated protein kinase, and suppressor of cytokine signaling-1 genes in multiple myeloma
Objective(s): The aim of this study was to investigate the methylation status and mRNA expression levels of P15, death-associated protein kinase (DAPK), and suppressor of cytokine signaling-1 (SOCS1) genes in multiple myeloma (MM). Materials and Methods: The bone marrow samples of 54 MM patients were collected and the methylation status of the P15, DAPK, and SOCS1 gene promoter regions was dete...
متن کاملChanges in regulator of G protein signaling-4 gene expression in the spinal cord of adrenalectomized rats in response to intrathecal morphine
Introduction: Regulators of G-protein signaling protein negatively control G protein -coupled receptor signaling duration by accelerating Gα subunit guanosine triphosphate hydrolysis. Since regulator of G-protein signaling4 has an important role in modulating morphine effects at the cellular level and the exact mechanism(s) of adrenalectomy-induced morphine sensitization have not been fully cl...
متن کاملP-203: Examination of FMR1 Gene Transcription and Protein Expression in Patients with Diminished Ovarian Reserve Reffered to Royan institute
Background: Diminished ovarian reserve (DOR) is a primary infertility disorder characterized by a reduction in the number and/or quality of oocytes, usually accompanied by high follicle-stimulating hormone (FSH) levels and regular menses. DOR aetiology factors are different, such as genetic factors, ageing, autoimmune disorders, adrenal gland impairment factors and iatrogenic causes, e.g. chemo...
متن کاملSodium hydrosulfide upregulates mRNA and protein expression of TGF-α in gastric mucosa in experimental model of stimulated gastric acid secretion in rats
Objective(s): Transforming growth factor alpha (TGF-α) has been shown to modulate the gastric acid secretion. Therefore, the aim of the present study was to investigate the effect of sodium hydrosulfide (NaHS) on TGF-α expression in gastric mucosa in rats. Materials and Methods: Eighteen rats were randomly divided into 3 groups (6 per group). To determine the effect of NaHS on gene and protein ...
متن کاملInterleukin-17 Gene Expression and Serum Levels in Acute Rejected and non-Rejected Liver Transplant Patients
Background: Interleukin-17 (IL-17), as a potent proinflammatory cytokine, has a critical role in post liver transplant outcomes. However, there is not much information about the effects of IL-17 cytokine on acute liver rejection. Objective: To evaluate the role of IL-17 in post-liver transplant acute rejection. Methods: Ninety seven adult liver transplant patients who enrolled in this cross sec...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2006