caa a22 4500 445330120 CHVBK 20180317142734.0 cr unu---uuuuu 170323e20111101xx s 000 0 eng 10.1007/s00285-010-0394-0 doi (NATIONALLICENCE)springer-10.1007/s00285-010-0394-0 Model of cell signal transduction in a three-dimensional domain [Elektronische Daten] [Chris Levy, David Iron] Intracellular signalling molecules form pathways inside the cell. These pathways carry a signal to target proteins which results in cellular responses. We consider a spherical cell with two internal compartments containing localized activating enzymes where as deactivating enzymes are spread uniformly through out the cytosol. Two diffusible signalling molecules are activated at the compartments and later deactivated in the cytosol due to deactivating enzymes. The two signalling molecules are a single link in a cascade reaction and form a self regulated dynamical system involving positive and negative feedback. Using matched asymptotic expansions we obtain approximate solutions of the steady state diffusion equation with a linear decay rate. We obtain three-dimensional concentration profiles for the signalling molecules. We also investigate an extension of the above system which has multiple cascade reactions occurring between multiple signalling molecules. Numerically, we show that the speed of the signal is an increasing function of the number of links in the cascade. Springer-Verlag, 2011 Cell signalling nationallicence Matched asymptotic expansions nationallicence Green's function nationallicence Signal transduction pathway nationallicence Reaction diffusion equations nationallicence Localized structures nationallicence Levy Chris Dalhousie University, Halifax, Canada aut Iron David Dalhousie University, Halifax, Canada aut Journal of Mathematical Biology Springer-Verlag 63/5(2011-11-01), 831-854 0303-6812 63:5<831 2011 63 285 https://doi.org/10.1007/s00285-010-0394-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00285-010-0394-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Levy Chris Dalhousie University, Halifax, Canada aut NATIONALLICENCE 700 1- Iron David Dalhousie University, Halifax, Canada aut NATIONALLICENCE 773 0- Journal of Mathematical Biology Springer-Verlag 63/5(2011-11-01), 831-854 0303-6812 63:5<831 2011 63 285 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer