title: On the interplay between mathematics and biology: hallmarks toward a new systems biology.
abstract: This paper proposes a critical analysis of the existing literature on mathematical tools developed toward systems biology approaches and, out of this overview, develops a new approach whose main features can be briefly summarized as follows: derivation of mathematical structures suitable to capture the complexity of biological, hence living, systems, modeling, by appropriate mathematical tools, Darwinian type dynamics, namely mutations followed by selection and evolution. Moreover, multiscale methods to move from genes to cells, and from cells to tissue are analyzed in view of a new systems biology approach.
authors.affiliation: Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah, Saudi Arabia. Electronic address: nicola.bellomo@polito.it.
authors.forename: Nicola
authors.initials: N
authors.lastname: Bellomo
authors.affiliation: Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah, Saudi Arabia. Electronic address: aelaiwksu.edu.sa@kau.edu.sa.
authors.forename: Ahmed
authors.initials: A
authors.lastname: Elaiw
authors.affiliation: Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah, Saudi Arabia. Electronic address: aalroqi@kau.edu.sa.
authors.forename: Abdullah M
authors.initials: AM
authors.lastname: Althiabi
authors.affiliation: Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah, Saudi Arabia. Electronic address: Proff-malghamdi@hotmail.com.
authors.forename: Mohammed Ali
authors.initials: MA
authors.lastname: Alghamdi
mesh_terms: D000818:Animals; D019143:Evolution, Molecular; D006801:Humans; D008433:Mathematics / Q000379:methods*; D049490:Systems Biology / Q000379:methods*
keywords: Active particles; Evolution; Kinetic theory; Mutations; Stochastic differential games; Systems biology