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:10/13/2017)... N.Y (PRWEB) , ... October 13, 2017 , ... Lori ... became a member of ElderCounsel, a national organization of elder law and special needs ... changing laws and rules. It also provides a forum to network with elder law ...
(Date:10/13/2017)... N.J. (PRWEB) , ... October 13, 2017 , ... The ... Holly Day Market. Featuring a collection of specialty vendors and unique items from across ... personalized and quality-focused health and wellness services offered by the VNA. The boutique ...
(Date:10/13/2017)... ... 2017 , ... Yisrayl Hawkins, Pastor and Overseer at The House of Yahweh, ... and least understood books in the Holy Scriptures, Revelation. The Book of Revelation paints ... for centuries. Many have tossed it off as mere rubbish, but Yisrayl Hawkins says ...
(Date:10/13/2017)... ... , ... “The Journey: From the Mountains to the Mission Field”: the story ... the Philippines. “The Journey: From the Mountains to the Mission Field” is the creation ... has taught all ages and currently teaches a class of ladies at her church, ...
(Date:10/12/2017)... ... 12, 2017 , ... CitiDent and San Francisco dentists, Dr. ... Oventus O2Vent technology. As many as 18 million Americans are estimated to suffer ... Oral appliances can offer significant relief to about 75 percent of people with ...
Breaking Medicine News(10 mins):
(Date:9/25/2017)...   Montrium , an industry leader in ... IQPC Trial Master Files & Inspection Readiness Conference ... Clinical Services has selected eTMF Connect ... EastHORN, a leading European contract research organization (CRO), ... to enable greater collaboration with sponsors, improve compliance ...
(Date:9/22/2017)... DIEGO , Sept. 22, 2017 AVACEN ... medical device is now successfully helping those with the ... Fibromyalgia diagnosed Amanda in Essex, ... dressed and washing my hair, experiencing no sleep at ... in painful spasm… I cannot recommend [the AVACEN 100] ...
(Date:9/18/2017)... PROVIDENCE, R.I. , Sept. 18, 2017 ... in the fields of bioinformatics and immune ... to develop a protective avian influenza A (H7N9) vaccine. ... is distantly related to seasonal influenza and ... approaches, which rely on prior exposure to be ...
Breaking Medicine Technology: