Zobrazeno 1 - 10
of 115
pro vyhledávání: '"Marc R. Roussel"'
Autor:
S. Hossein Hosseini, Marc R. Roussel
Publikováno v:
Mathematical Biosciences and Engineering, Vol 21, Iss 6, Pp 6225-6262 (2024)
Models intended to describe the time evolution of a gene network must somehow include transcription, the DNA-templated synthesis of RNA, and translation, the RNA-templated synthesis of proteins. In eukaryotes, the DNA template for transcription can b
Externí odkaz:
https://doaj.org/article/0d5cfe00844d4ce2a981b4b83e5bf529
Autor:
Marc R. Roussel, Moisés Santillán
Publikováno v:
AIMS Mathematics, Vol 7, Iss 4, Pp 5662-5669 (2022)
Externí odkaz:
https://doaj.org/article/07a11e03dfaa4b59922ab222f599348b
Publikováno v:
AIMS Mathematics, Vol 6, Iss 7, Pp 6781-6814 (2021)
The conditions for the validity of the standard quasi-steady-state approximation in the Michaelis–Menten mechanism in a closed reaction vessel have been well studied, but much less so the conditions for the validity of this approximation for the sy
Externí odkaz:
https://doaj.org/article/b47af6bddbb54dd1ab54eda0068ac141
Autor:
Marc R. Roussel
Publikováno v:
Algorithms, Vol 13, Iss 9, p 209 (2020)
Delay-differential equations belong to the class of infinite-dimensional dynamical systems. However, it is often observed that the solutions are rapidly attracted to smooth manifolds embedded in the finite-dimensional state space, called inertial man
Externí odkaz:
https://doaj.org/article/efec92c1a6974e96af3e3a989e61aae9
Autor:
Marc R. Roussel
Motivating students to engage with physical chemistry through biological examples, this textbook demonstrates how the tools of physical chemistry can be used to illuminate biological questions. It clearly explains key principles and their relevance t
Publikováno v:
MTNS 2021-24th International Symposium on Mathematical Theory of Networks and Systems
MTNS 2021-24th International Symposium on Mathematical Theory of Networks and Systems, organisée par I. BOUSSAADA, G. MAZANTI, S.-I. NICULESCU, J. CHEN, Aug 2021, Cambridge, United Kingdom
HAL
MTNS 2021-24th International Symposium on Mathematical Theory of Networks and Systems, organisée par I. BOUSSAADA, G. MAZANTI, S.-I. NICULESCU, J. CHEN, Aug 2021, Cambridge, United Kingdom. ⟨10.1016/j.ifacol.2021.06.174⟩
MTNS 2021-24th International Symposium on Mathematical Theory of Networks and Systems, organisée par I. BOUSSAADA, G. MAZANTI, S.-I. NICULESCU, J. CHEN, Aug 2021, Cambridge, United Kingdom
HAL
MTNS 2021-24th International Symposium on Mathematical Theory of Networks and Systems, organisée par I. BOUSSAADA, G. MAZANTI, S.-I. NICULESCU, J. CHEN, Aug 2021, Cambridge, United Kingdom. ⟨10.1016/j.ifacol.2021.06.174⟩
International audience; Delays appear in the dynamics of many systems due to non-vanishing reaction times of control systems. In biochemical systems, long sequences of repeated steps, especially in biopolymerization processes, can be modeled by delay
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2c64f9913eee2c34230e01eab81a5d50
https://doi.org/10.1016/j.ifacol.2021.06.174
https://doi.org/10.1016/j.ifacol.2021.06.174
Publikováno v:
Mathematical biosciences. 343
ATF4 is a key transcription factor that activates transcription of genes needed to respond to cellular stress. Although the mRNA encoding ATF4 is present at constant levels in the cell during the initial response, translation of ATF4 increases under
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::62f1592c4fd2eb0e23ad18dc1908f03a
https://pubmed.ncbi.nlm.nih.gov/34883107
https://pubmed.ncbi.nlm.nih.gov/34883107
Publikováno v:
AIMS mathematics 6(7), 6781-6814 (2021). doi:10.3934/math.2021398 special issue: "Special Issue: Mathematics in Science and Industry / Guest Editors: Marc R. Roussel, Moisés Santillán Zerón"
AIMS mathematics
AIMS Mathematics, Vol 6, Iss 7, Pp 6781-6814 (2021)
AIMS mathematics
AIMS Mathematics, Vol 6, Iss 7, Pp 6781-6814 (2021)
The conditions for the validity of the standard quasi-steady-state approximation in the Michaelis--Menten mechanism in a closed reaction vessel have been well studied, but much less so the conditions for the validity of this approximation for the sys
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1fdb419122612012b3845d43ccecbc94
https://publications.rwth-aachen.de/record/824825
https://publications.rwth-aachen.de/record/824825
Autor:
Marc R Roussel
This book examines the foundational theories of chemical kinetics. The first part covers gas-phase kinetics, while the second focuses on reactions in solution. Expounding on the theory, the book explains calculation procedures in detail using modern
Autor:
Marc R Roussel
Publikováno v:
Biomath, Vol 2, Iss 1 (2013)
A previously studied model of prokaryotic transcription [Roussel and Zhu, Bull. Math. Biol. 68 (2006) 1681--1713] is revisited. The first four moments of the distribution of transcription times are obtained analytically and analyzed. A Gaussian is fo
Externí odkaz:
https://doaj.org/article/282a432abdbc4af0b9d75e69a44b418b