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We use fast-slow dissection and isochron calculations to analyze the phase response dynamics in both weak and strong perturbation regimes. Our findings include the following: (1) The phase response during the active segment of the burst displays considerable sensitivity (even for very weak perturbations) closely associated with spike times in the perturbed burster. (2) The isochron geometry of the fast subsystem explains the shape and sensitivity of the recorded phase response during the active bursting segment. (3) The onset of the homoclinic bifurcation in the fast subsystem during the burst cycle strongly affects the isochron geometry. (4) Strong perturbations may trigger changes in spike number per burst, sometimes accompanied by early burst initiation or termination, leading to large magnitude phase responses that cannot be accounted for using the theory of weakly coupled oscillators.<\/jats:p>","DOI":"10.1137\/090773519","type":"journal-article","created":{"date-parts":[[2010,7,1]],"date-time":"2010-07-01T18:03:28Z","timestamp":1278007408000},"page":"659-703","source":"Crossref","is-referenced-by-count":39,"title":["Dissecting the Phase Response of a Model Bursting Neuron"],"prefix":"10.1137","volume":"9","author":[{"given":"William Erik","family":"Sherwood","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"John","family":"Guckenheimer","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2010,7,1]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1023\/A:1024474819512"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1023\/B:JCNS.0000037685.71759.1a"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1162\/089976604322860668"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1023\/B:JCNS.0000023867.25863.a4"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1152\/jn.1999.82.1.382"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1152\/jn.1999.82.1.398"},{"key":"R7","doi-asserted-by":"crossref","unstructured":"C. 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