The IRMA Community
Newsletters
Research IRM
Click a keyword to search titles using our InfoSci-OnDemand powered search:
|
Mathematical Description of Time Delays in Pathways Cross Talk
Abstract
In this chapter we investigate how the inclusion of time delay alters the dynamic properties of (a) delayed protein cross talk model, (b) time delay model of RNA silencing (also known as RNA interference), and (c) time delay in ERK and STAT interaction. The consequences of a time delay on the dynamics of those systems are analysed using Hopf’s theorem and Lyapunov-Andronov theory. Our analytical calculations predict that time delay acts as a key bifurcation parameter. This is confirmed by numerical simulations.
Related Content
|
David Edson Ribeiro, Valter Augusto de Freitas Barbosa, Clarisse Lins de Lima, Ricardo Emmanuel de Souza, Wellington Pinheiro dos Santos.
© 2021.
15 pages.
|
|
Juliana Carneiro Gomes, Maíra Araújo de Santana, Clarisse Lins de Lima, Ricardo Emmanuel de Souza, Wellington Pinheiro dos Santos.
© 2021.
12 pages.
|
|
Maíra Araújo de Santana, Jessiane Mônica Silva Pereira, Clarisse Lins de Lima, Maria Beatriz Jacinto de Almeida, José Filipe Silva de Andrade, Thifany Ketuli Silva de Souza, Rita de Cássia Fernandes de Lima, Wellington Pinheiro dos Santos.
© 2021.
19 pages.
|
|
Jessiane Mônica Silva Pereira, Maíra Araújo de Santana, Clarisse Lins de Lima, Rita de Cássia Fernandes de Lima, Sidney Marlon Lopes de Lima, Wellington Pinheiro dos Santos.
© 2021.
25 pages.
|
|
Adriel dos Santos Araujo, Roger Resmini, Maira Beatriz Hernandez Moran, Milena Henriques de Sousa Issa, Aura Conci.
© 2021.
35 pages.
|
|
Abir Baâzaoui, Walid Barhoumi.
© 2021.
21 pages.
|
|
Marcus Costa de Araújo, Luciete Alves Bezerra, Kamila Fernanda Ferreira da Cunha Queiroz, Nadja A. Espíndola, Ladjane Coelho dos Santos, Francisco George S. Santos, Rita de Cássia Fernandes de Lima.
© 2021.
44 pages.
|
|
|