Navigation Links
Mathematics And Beauty? You Bet!

Cranio-maxillofacial surgery is a division that deals with the reconstruction of the face and related skull areas after severe injuries// or the occurrence of birth defects like cleft palate. Since the procedure itself is rigorous, extensive pre-operative preparation is required. This will not only ensure a smooth operation, but will also give patients an idea of how their face will look like in future.

In their article "Mathematics in Facial Surgery," Peter Deuflhard, Martin Weiser, and Stefan Zachow (of the Konrad Zuse Zentrum (ZIB), Berlin) describe the mathematical techniques they have used to assist cranio-maxillofacial surgeons to predict the outcomes of surgery. These techniques have proven to be quite successful in producing predictions that end up matching well the post-operative outcomes.

The first step in the planning paradigm for such surgery is to use medical imaging data of the patient to construct a 3-dimensional computer model, called the "virtual patient". The second step, which is the one the article focuses on, uses the data to create a "virtual lab" in which various operative strategies can be tested. The last step is to play back to the patient the outcomes of the various strategies.

The second step in the paradigm requires modeling and solving partial differential equations (PDEs), which are equations that represent changing physical systems. One must identify which PDEs are appropriate for biomechanical modeling of soft facial tissue and bone. Standard methods for handling the equations need to be adapted for this particular application. One must also formulate ways to represent the interface between tissue and bone, as well as their interactions. Generally such PDEs cannot be solved exactly in closed form, so mathematics enters the picture once again to provide numerical techniques for producing approximate solutions.

With the "virtual patient" data as input, one can use the approximate solutions to generate an individualized model for that particular patient. The surgeons can then use the model as a "virtual lab" to predict the effects of surgical procedures and options, and patients can get a picture of approximately how they will look after the surgery.

The article by Deuflhard et al states that qualitative comparisons between the outcomes predicted by the model, and the actual surgical outcomes, have been surprisingly good. The authors have also made quantitative comparisons, by creating a post-operative model of the patient and comparing it quantitatively to the predicted outcome. They found a mean prediction error of between 1 and 1.5mm for the soft tissue, which they write "seems to be a fully acceptable result."

"Even though biomechanical tissue modeling turns out to be a tough problem, we are already rather successful in predicting postoperative appearance from preoperative patient data," the authors write. "For the surgeon, our computer assisted planning permits an improved preparation before the actual operation."

Source-Eurekalert
RAS
'"/>




Related medicine news :

1. Boys Suffer More Mathematics Learning Disorder Than Girls
Post Your Comments:
*Name:
*Comment:
*Email:


(Date:1/23/2017)... Switzerland (PRWEB) , ... January 23, 2017 , ... ... lab and production applications. However, choosing the right method is paramount to success. ... occur more often in situations where multiple persons use the same equipment. Rare ...
(Date:1/23/2017)... ... 2017 , ... Old School Labs™, makers of the wildly popular all-natural sports ... Ansley to its growing team of brand ambassadors. The Olympia top finisher and former ... than a year was able to turn professional, participating in the 2013 NPC USA ...
(Date:1/23/2017)... ... ... at the Mill”: a story of love and redemption, hope and uncertainty as a ... , “The Inn at the Mill” is the creation of published author, Lois Kulp, ... now living in Berks County on Crow Hill. The inn, the mill and ...
(Date:1/23/2017)... ... ... “Life Under Blankets”: an entrancing story about one woman's travels through the wilderness ... of published author, Kimberly Mitchell, who earned her bachelor’s degree in English education at ... master’s degree in education in the field of curriculum and instruction. Kimberly’s passion for ...
(Date:1/22/2017)... FRANCE (PRWEB) , ... January 22, 2017 , ... Phytocéane ... Ocean, isolated from the rest of the world with ZANZIBAR MILKY CREAM. Inspired by ... used key ingredients like Virgin Coconut Oil and moisturizing vegetal coral to create this ...
Breaking Medicine News(10 mins):
(Date:1/23/2017)... PALMA, Spain , January 23, ... a clinical-stage biopharmaceutical company focused on treatments for ... has been enrolled in the Phase IIb "CaLIPSO ... the treatment of cardiovascular calcification (CVC) in end-stage-renal-disease ... ESRD patients, in the last stage of chronic ...
(Date:1/21/2017)... , Jan 20, 2017 Research ... Clinical Laboratory Testing Market By Type of Test (Tumor, Clinical ... & By Type of Diseases (Tuberculosis, Influenza, Cancer, HIV/AIDS etc.), ... ... attractive destination for healthcare services, market segments, especially clinical lab ...
(Date:1/21/2017)... -- Research and Markets has announced the addition of ... Route Of Administration, End User - Forecast to 2025" report ... ... a CAGR of around 7.8% over the next decade to reach ... analyzes the global markets for Advanced Drug Delivery across all the ...
Breaking Medicine Technology: