Comparative analysis of carbon cycle models via kinetic representations

Fortun, Noel T.; Mendoza, Eduardo

doi:10.1007/s10910-022-01442-8

Cited by 5 publications

(4 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Example 5.1.1. Schmitz's model of the earth's pre-industrial carbon cycle system was analyzed by Fortun et al in [13]. Below is its corresponding reaction network and kinetic order matrix.…”

Section: The Equilibria Variation Of a Kinetic Systemmentioning

confidence: 99%

“…Example 5.2.1. Fortun and collaborators studied variants of the Anderies et al [1] model of the earth's pre-industrial carbon cycle (see the kinetic system below) in [10] and [13].…”

Section: Equilibria Variation In Deficiency Zero Pl-rdk Systemsmentioning

confidence: 99%

“…Table 5.2.1 shows some important numbers of the network in 5.2.1. In [13], Fortun and Mendoza showed that the system is dynamically equivalent to a weakly reversible, deficiency zero system with…”

Section: )mentioning

confidence: 99%

“…Based on the value of R, one obtains three classes of Anderies system: AN D > (R > 0) consists of multistationary systems with no ACR species, AN D 0 (R = 0) contains only monostationary systems with two ACR species and AN D < contains both injective and noninjective systems but also no ACR species. The variants studied in [10] and [13] belong to AN D > and AN D 0 , respectively.…”

Section: )mentioning

confidence: 99%

See 3 more Smart Citations

Absolute Concentration Robustness in Rank-One Kinetic Systems

Mendoza,

Talabis,

Jose

et al. 2023

match

View full text Add to dashboard Cite

A kinetic system has an absolute concentration robustness (ACR) for a molecular species if its concentration remains the same in every positive steady state of the system. Just recently, a condition that sufficiently guarantees the existence of an ACR in a rank-one mass-action kinetic system was found. In this paper, it will be shown that this ACR criterion does not extend in general to power-law kinetic systems. Moreover, we also discussed in this paper a necessary condition for ACR in multistationary rank-one kinetic system which can be used in ACR analysis. Finally, a concept of equilibria variation for kinetic systems which are based on the number of the system's ACR species will be introduced here.

show abstract

Section: The Equilibria Variation Of a Kinetic Systemmentioning

confidence: 99%

“…Example 5.2.1. Fortun and collaborators studied variants of the Anderies et al [1] model of the earth's pre-industrial carbon cycle (see the kinetic system below) in [10] and [13].…”

Section: Equilibria Variation In Deficiency Zero Pl-rdk Systemsmentioning

confidence: 99%

Section: )mentioning

confidence: 99%

Section: )mentioning

confidence: 99%

See 2 more Smart Citations