Development of methods for obtaining approximate analytical solutions of nonlinear differential equations and their systems is a rapidly developing field of mathematical physics. Earlier, an approximate solution of the simplest system of kinetic enzymatic equations for calculating dynamics of complementary strands of nucleic acids was obtained. In this study, we consider an alternative approach to selecting the basic linear approximation of the used method, which makes it possible to obtain more accurate analytical solutions of the set problem.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1134/S1607672916060028 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Aqueous Solubility of Sodium and Chloride Salts of Glycine─"Uncommon" Common-Ion Effects of Self-Titrating Solids.
Mol Pharm
January 2025
Department of Pharmaceutical Sciences, College of Pharmacy and Health Sciences, St. John's University, 8000 Utopia Parkway, Queens, New York 11439, United States.
Although glycine is the simplest of the amino acids, its solution and solid-state properties are far from straightforward. The aqueous solubility of glycine plays an important role in various applications, including nutrition, food products, biodegradable plastics, and drug development. There is evidence that glycine in subsaturated pH 3-8 solutions forms a dimer, as suggested by several techniques.
View Article and Find Full Text PDFEvaluation of the Impact of HIFU on Peptide Bond Formation: A Study Using SPE-LC-MS/MS Methodology.
Biomed Chromatogr
February 2025
College of Pharmacy, Chongqing Medical University, Chongqing, China.
High-intensity focused ultrasound (HIFU) is a noninvasive soft tissue ablation technique, which utilizes ultrasound energy to induce thermal coagulation necrosis in targeted tissues. Whether this high energy causes side effects in vivo, such as the formation of peptide bonds, has not been fully investigated. Glycylglycine is the simplest dipeptide and hence is often used as a model compound for peptide studies.
View Article and Find Full Text PDFEvaluation and comparison of methods for neuronal parameter optimization using the Neuroptimus software framework.
PLoS Comput Biol
December 2024
HUN-REN Institute of Experimental Medicine, Budapest, Hungary.
Finding optimal parameters for detailed neuronal models is a ubiquitous challenge in neuroscientific research. In recent years, manual model tuning has been gradually replaced by automated parameter search using a variety of different tools and methods. However, using most of these software tools and choosing the most appropriate algorithm for a given optimization task require substantial technical expertise, which prevents the majority of researchers from using these methods effectively.
View Article and Find Full Text PDFWe consider wavefunctions built from antisymmetrized products of two-electron wavefunctions (geminals), which is arguably the simplest extension of the antisymmetrized product of one-electron wavefunctions (orbitals) (i.e., a Slater determinant).
View Article and Find Full Text PDFRebuilding the autoimmune-damaged corneal stroma through topical lubrication.
bioRxiv
December 2024
Program in Craniofacial Biology, Department of Cell & Tissue Biology, University of California San Francisco; San Francisco, CA 94143, USA.
Corneal lubrication is the most common treatment for relieving the signs and symptoms of dry eye and is considered to be largely palliative with no regenerative functions. Here we challenge this notion by demonstrating that wetting the desiccated cornea of an aqueous-deficient mouse model with the simplest form of lubrication, a saline-based solution, is sufficient to rescue the severely disrupted collagen-rich architecture of the stroma, the largest corneal compartment that is essential to transparency and vision. At the single cell level we show that stromal keratocytes responsible for maintaining stromal integrity are converted from an inflammatory state into unique reparative cell states by lubrication alone, thus revealing the extensive plasticity of these cells and the regenerative function of lubricating the surface.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!