[图书][B] Simple mathematical models of gene regulatory dynamics

We survey work that has been carried out in the attempts of biomathematicians to
understand the dynamic behavior of simple bacterial operons starting with the initial work of …

Cloning the Switch: Digital and Markov Representations

U Ainuddin, M Khurram… - IEEE transactions on …, 2019 - ieeexplore.ieee.org
The lysis-lysogeny switch in E. coli due to infection from lambda phage has been extensively
studied and explained by scientists of molecular biology. The bacterium either survives with …

[PDF][PDF] Finite state machine and Markovian equivalents of the lac Operon in E. coli bacterium

U Ainuddin, M Waqas - AIMS Bioengineering, 2022 - aimspress.com
The lac operon in E. coli has been extensively studied by computational biologists. The
bacterium uses it to survive in the absence of glucose, utilizing lactose for growth. This paper …

The lysis-lysogeny switch

MC Mackey, M Santillán, M Tyran-Kamińska… - … Mathematical Models of …, 2016 - Springer
To talk about the lysis-lysogeny switch, we need to talk about bacteriophage (or simply
phage) λ. And to talk about phage λ, we need to talk about bacteriophages (or simply …

Generic deterministic models of prokaryotic gene regulation

MC Mackey, M Santillán, M Tyran-Kamińska… - … Mathematical Models of …, 2016 - Springer
The central tenet of molecular biology was put forward some half century ago, and though
modified in detail still stands in its basic form. Transcription of DNA produces messenger …

The Lactose Operon

MC Mackey, M Santillán, M Tyran-Kamińska… - … Mathematical Models of …, 2016 - Springer
Glucose is the preferred carbon and energy source for E. coli, as well as for many other
organisms. Although this bacterium can also feed on other sugars, it only does so when …

A computational study of the gene expression in the tryptophan operon with two types of cooperativity

JR Cantú-González, O Díaz-Hernández… - Advances in …, 2019 - Springer
Intrinsic noise is inherent to many biological processes and provokes variation in gene
expression in a population of isogenic cells leading to phenotypic diversity. Intrinsic noise is …

The Tryptophan Operon

MC Mackey, M Santillán, M Tyran-Kamińska… - … Mathematical Models of …, 2016 - Springer
Tryptophan is one of the 20 amino acids out of which all proteins are made. Arguably,
tryptophan is the most expensive amino acid to synthesize, biochemically speaking …

General Dynamic Considerations

MC Mackey, M Santillán, M Tyran-Kamińska… - … Mathematical Models of …, 2016 - Springer
The Goodwin model for operon dynamics (Goodwin, Adv Enzyme Regul 3: 425–438, 1965)
considers a large population of cells, each of which contains one copy of a particular …

Master Equation Modeling Approaches

MC Mackey, M Santillán, M Tyran-Kamińska… - … Mathematical Models of …, 2016 - Springer
As in other approaches, the first step for employing the CME formalism consists of picturing
the system to be analyzed as a set of chemical reactions. As discussed in previous chapters …