RT Journal Article
T1 Phenomenological definition of response times with application to metabolic reactions
A1 Sánchez Torralba, Antonio
A1 Rodríguez, Yoel
A1 Montero Carnerero, Francisco
AB The metabolic response time, i.e. the delay the system introduces in the response to an input flux, is considered. A novel phenomenological definition is presented, which is valid for any kind of behavior, including transitory or permanent oscillatory responses. In order to calculate the response time of single-input systems, output fluxes have to be deconvoluted with the input flux. The bases for this are established. The resulting function (unit impulse response in time-invariant linear systems) is transformed by subtracting its final state, taking the absolute value and normalizing by the resulting area, so that a norm can be applied that weights the response at every time. This response time can also be interpreted as an average. It coincides with the transition (characteristic) time of an output flux, provided that the input is performed instantaneously (step function). A strictly non-negative response function is needed for the response time to be interpreted as a mass balance. A simple example is used to study the deviation otherwise. The method is advantageous in that it provides clues on the phenomenological behavior of biochemical systems. For example, deconvolution reveals the intrinsic oscillation-generating mechanism of an allosteric enzyme, which becomes hidden when the input flux increases in a slow way. This is illustrated by means of a model.
PB Elsevier
SN 0022-5193
YR 2003
FD 2003
LK https://hdl.handle.net/20.500.14352/117584
UL https://hdl.handle.net/20.500.14352/117584
LA eng
NO Torralba AS, Rodríguez Y, Montero F, Phenomenological definition of response times with application to metabolic reactions, J Theor Biol., 2003, 221(4):475-489
NO Ministerio de Ciencia y Tecnologı́a
NO Ministerio de Educacio´n, Cultura y Deporte
NO DGICYT
DS Docta Complutense
RD 8 abr 2025