Zobrazeno 1 - 10
of 329
pro vyhledávání: '"92C45"'
We investigate the possibility that for any given reaction rate vector $k$ associated with a network $G$, there exists another network $G'$ with a corresponding reaction rate vector that reproduces the mass-action dynamics generated by $(G,k)$. Our f
Externí odkaz:
http://arxiv.org/abs/2409.04802
Fluctuations are inherent to biological systems, arising from the stochastic nature of molecular interactions, and influence various aspects of system behavior, stability, and robustness. These fluctuations can be categorized as intrinsic, stemming f
Externí odkaz:
http://arxiv.org/abs/2408.12107
Autor:
Bai, Xuesong, Fai, Thomas G.
Cell size varies between different cell types, and between different growth and osmotic conditions. However, the nuclear-to-cell volume ratio (N/C ratio) remains nearly constant. In this paper, we build on existing deterministic models of N/C ratio h
Externí odkaz:
http://arxiv.org/abs/2407.19066
Autor:
Jin, Jiaxin, Rempala, Grzegorz A.
Homeostasis occurs in a biological system when a chosen output variable remains approximately constant despite changes in an input variable. In this work we specifically focus on biological systems which may be represented as chemical reaction networ
Externí odkaz:
http://arxiv.org/abs/2407.11248
Compartment models with delay terms are widely used across a range of disciplines. The motivation to include delay terms varies across different contexts. In epidemiological and pharmacokinetic models, the delays are often used to represent an incuba
Externí odkaz:
http://arxiv.org/abs/2406.17242
Autor:
Isaacson, Samuel A., Zhang, Ying
We develop a convergent reaction-drift-diffusion master equation (CRDDME) to facilitate the study of reaction processes in which spatial transport is influenced by drift due to one-body potential fields within general domain geometries. The generaliz
Externí odkaz:
http://arxiv.org/abs/2405.00283
We demonstrate that the Michaelis-Menten reaction mechanism can be accurately approximated by a linear system when the initial substrate concentration is low. This leads to pseudo-first-order kinetics, simplifying mathematical calculations and experi
Externí odkaz:
http://arxiv.org/abs/2403.05507
Antibodies play an essential role in the immune response to viral infections, vaccination, or antibody therapy. Nevertheless, they can be either protective or harmful during the immune response. Moreover, competition or cooperation between mixed anti
Externí odkaz:
http://arxiv.org/abs/2402.12210
Autor:
Kiprono, Kelvin, Tóth, János
The differential equations of chemical kinetics are systems of nonlinear (polynomial) differential equations, therefore their solutions cannot usually be found in symbolic form. Here we offer a method to solve classes of kinetic differential equation
Externí odkaz:
http://arxiv.org/abs/2402.09842
Lipolysis is a life-essential metabolic process, which supplies fatty acids stored in lipid droplets to the body in order to match the demands of building new cells and providing cellular energy. In this paper, we present a first mathematical modelli
Externí odkaz:
http://arxiv.org/abs/2401.17935