caa a22 4500 465739709 CHVBK 20180323111805.0 cr unu---uuuuu 170327e19901101xx s 000 0 eng 10.1007/BF02368454 doi (NATIONALLICENCE)springer-10.1007/BF02368454 Tallarida Ronald Department of Pharmacology, Temple University School of Medicine, 19140, Philadelphia, PA aut Further characterization of a control model for ligand-receptor interaction: Phase plane geometry, stability, and oscillation [Elektronische Daten] [Ronald Tallarida] The local concentration of an endogenous ligand that binds to a specific cellular receptor according to the mass-action law is controlled. The ligand concentration (z) remains bounded in an interval that contains the basal point. The current study is a more detailed examination of a control model that we previously proposed in which the feedback is a function (Φ) of the concentration (y) of the receptor-bound ligand. Previously we showed that if Φ′ (y)≤0 at a critical point then that point is stable Accordingly, at an unstable critical point Φ′ (y)>0. We now show that if Φ(y) is continous in [y1, y2], where y1 and y2 are adjacent critical points, and if Φ′ (y1)≤0 then the critical point at y2 is unstable. The distance between these adjacent critical points is crucial for maintaining control in response to a dose (or release) of ligand. It is further shown that the difference in the slopes of the binding and control curves at their intersection on the phase-plane portrait is an indicator of stability and of the characteristic frequency of oscillation in the system. Together these findings provide new insights needed in the modelling of specific ligand-receptor interactions. Pergamon Press plc, 1990 Ligand-receptor interaction nationallicence Control nationallicence Stability nationallicence Oscillation nationallicence Mass-action law nationallicence Annals of Biomedical Engineering Kluwer Academic Publishers 18/6(1990-11-01), 671-684 0090-6964 18:6<671 1990 18 10439 https://doi.org/10.1007/BF02368454 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02368454 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Tallarida Ronald Department of Pharmacology, Temple University School of Medicine, 19140, Philadelphia, PA aut NATIONALLICENCE 773 0- Annals of Biomedical Engineering Kluwer Academic Publishers 18/6(1990-11-01), 671-684 0090-6964 18:6<671 1990 18 10439 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer