TY - JOUR
T1 - Fractals, vigilance, and adolescent diabetes management
T2 - A case for when regulation may be difficult to measure with the current medical standards
AU - Butner, Jonathan
AU - Story, T. Nathan
AU - Berg, Cynthia A.
AU - Wiebe, Deborah J.
PY - 2011/1
Y1 - 2011/1
N2 - Temporal patterning in blood glucose (BG) consistent with fractals-how BG follows a repetitive pattern through resolutions of time-was used to examine 2 different samples of adolescents with Type 1 diabetes (10-14 years). Sample 1 contained 10 adolescents with longtime series for accurate estimations of longterm dependencies associated with fractals. The second contained 94 adolescents measured multiple times daily over a 2-week period corresponding to psychosocial measures. In both samples, temporal dependencies in BG showed patterns consistent with fractals. In the second sample, temporal dependencies were associated with indicators of vigilant regulation including adolescents' higher anxiety, mothers' higher monitoring, and intrusive support. The existence of temporal dependencies in BG moderated the relationship between glycosylated hemoglobin (HbA1c) and indicators of low BG risk but not the relationship between HbA1c and high BG risk. These results show how a biomedical indicator may be susceptible to metric issues associated with fractals.
AB - Temporal patterning in blood glucose (BG) consistent with fractals-how BG follows a repetitive pattern through resolutions of time-was used to examine 2 different samples of adolescents with Type 1 diabetes (10-14 years). Sample 1 contained 10 adolescents with longtime series for accurate estimations of longterm dependencies associated with fractals. The second contained 94 adolescents measured multiple times daily over a 2-week period corresponding to psychosocial measures. In both samples, temporal dependencies in BG showed patterns consistent with fractals. In the second sample, temporal dependencies were associated with indicators of vigilant regulation including adolescents' higher anxiety, mothers' higher monitoring, and intrusive support. The existence of temporal dependencies in BG moderated the relationship between glycosylated hemoglobin (HbA1c) and indicators of low BG risk but not the relationship between HbA1c and high BG risk. These results show how a biomedical indicator may be susceptible to metric issues associated with fractals.
UR - http://www.scopus.com/inward/record.url?scp=79951778029&partnerID=8YFLogxK
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U2 - 10.1080/00273171.2011.543029
DO - 10.1080/00273171.2011.543029
M3 - Article
C2 - 26771580
AN - SCOPUS:79951778029
SN - 0027-3171
VL - 46
SP - 33
EP - 57
JO - Multivariate Behavioral Research
JF - Multivariate Behavioral Research
IS - 1
ER -