Corrected kriging update formulae for batch-sequential data assimilation

Recently, a lot of effort has been spent in the efficient computation of kriging predictors when observations are assimilated sequentially. In particular, kriging update formulae enabling significant computational savings were derived. Taking advantage of the previous kriging mean and variance computations helps avoiding a costly matrix inversion when adding one observation to the TeX already available ones. In addition to traditional update formulae taking into account a single new observation, Emery (2009) proposed formulae for the batch-sequential case, i.e. when TeX new observations are simultaneously assimilated. However, the kriging variance and covariance formulae given in Emery (2009) for the batch-sequential case are not correct. In this paper, we fix this issue and establish correct expressions for updated kriging variances and covariances when assimilating observations in parallel. An application in sequential conditional simulation finally shows that coupling update and residual substitution approaches may enable significant speed-ups.

Clinical primary flexor tendon repair and rehabilitation: The Bern Experience

In this chapter we present our experience with treatment of zone 2 flexor tendon repair using a six-strand repair technique combined with postoperative place-and-hold exercise. The six-strand Lim/Tsai repair technique combined with place-and-hold exercises demonstrated better digital function compared to a two-strand repair without place-and-hold exercises. Range of motion in the Lim/Tsai repair group appeared to be increased without a higher rate of ruptures but with a shorter rehabilitation period. The fact that the two groups differed in both suture techniques and rehabilitation programs made it impossible to know whether the better results in the group of Lim/Tsai were due to the six-strand repair or the place-and-hold exercises or both. Despite the obvious benefit of early active mobilization, an active motion protocol may not always be possible to apply in a substantial number of patients due to concomitant injuries, the quality of the surgical repair or patient factors (swelling, pain, limited compliance). Since August 2006 a staged rehabilitation program (“stop and go”) was introduced within our unit using early active controlled flexion (green), place-and-hold (yellow), or passive flexion exercises (red) introduced by Kleinert-Duran. Our experience using the six-strand suture repair technique and “stop and go” is outlined.