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:4/29/2016)... City, Missouri (PRWEB) , ... April 29, 2016 , ... ... traditional crutches which put pressure on the armpits, the M+D Crutch evenly distributes body ... strain on their wrists and hands when using the crutches than with other crutches. ...
(Date:4/29/2016)... , ... April 29, 2016 , ... ... Canadian Celiac Association (CCA), is pleased to announce the launch of the ... nutritional articles, recipes, and more. The purpose of the GFCP Scoop ...
(Date:4/29/2016)... ... 29, 2016 , ... Dr. Robert Mondavi, one of the dentists in ... is a fast-growing field as more patients are discovering the many different ways they ... the options currently available to them and which ones might work for their smiles. ...
(Date:4/29/2016)... ... April 29, 2016 , ... Reltok Nasal Products proudly announces ... the head and neck/ear, nose and throat specialty, has added the KOTLER NASAL AIRWAY™ ... NASAL AIRWAY™ is a newly patented safety device secured by nasal surgeons onto ...
(Date:4/29/2016)... , ... April 29, 2016 , ... ... of a growth round of funding led by Eastside Partners, with participation from ... company’s rapidly growing customer base and accelerate its technology and product roadmap. ...
Breaking Medicine News(10 mins):
(Date:4/29/2016)... Glycotope GmbH, a clinical-stage immuno-oncology ... appointment of Dr. Alfredo Zurlo as Chief ... with many years clinical experience and a proven track ... role was at Mologen AG where he was Chief ... Dr. Zurlo held various positions at F Hoffmann La ...
(Date:4/28/2016)... NEW YORK , April 28, 2016 /PRNewswire/ ... will notably complement the company,s valve repair and ... the move also places Abbott more firmly into ... one of the fastest growing device areas, with ... to its recent report,  Advanced Remote Patient ...
(Date:4/28/2016)... 28, 2016 ... Phillips und Stephen Schmidt ... ArisGlobal®, ein führender Anbieter cloudbasierter Softwarelösungen ... bekannt, dass neue Führungskräfte zum Team Sicherheit ... die vielfältige Erfahrungen mitbringen.  Dies wird die ...
Breaking Medicine Technology: