Linear compartmental systems. IV. A software, under MS-Windows, for obtaining the instantaneous species concentrations in enzyme systems

Garcı́a-Sevilla, Francisco; García-Moreno, Manuela; Masiá, M. Dolores; Guevara, Ricardo Gómez-Ladrón de; Garcia-Molina, Maria M.; Garde, Enrique Arribas; Molina‐Alarcón, Milagros; Amo, Montserrat del; Varón, R.

doi:10.1007/s10910-014-0361-x

Cited by 2 publications

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“…Done by hand using the usual well-known procedures, this becomes tedious, time-consuming and prone to human errors even for reaction mechanisms which are not too complex, as the one here analyzed. This is the reason of the considerable number of contributions dealing with the implementation of adequate software which allows obtaining either the steady state equations [21][22][23][24][25][26][27][28][29][30][31][32] or both the transient and steady state equations [21][22][23][33][34][35][36]. We have used the software wREFERASS [16] with the following results:…”

Section: Theorymentioning

confidence: 99%

Analysis of the fractional modification of the monocyclic enzyme cascades, defined in an alternative way involving the two forms of the modified protein

et al. 2014

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This paper presents the discussion of a more complete definition of the fractional modification of an monocyclic enzyme cascade suggested, but not discussed, by Varon et al. (Bull Math Biol 68 (7): 2006) as the quotient of the sum of all forms of the modified protein, i.e. the free one and the intermediate complex converter enzyme of the original protein-modified protein, between the initial concentration of the target protein. From this general equation, obtained under three assumptions necessary to linearize the set of differential equations describing the kinetic of the system, we derive, as particular cases, other simpler expressions, by applying additional sim-2443 plifying assumptions, which are, therefore, of a smaller range of validity. We discuss the relationships between the kinetic parameters and concentrations needed for the fulfillment of both the necessary and unnecessary assumptions. The goodness of the analysis was tested by using the shape in the steady state of the simulated time progress curves obtained by numerical integration. Seven arbitrarily chosen examples differing in one or more of the values of the concentrations and/or kinetic parameters have been used to support the results.

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