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:6/22/2017)... ... 2017 , ... Vighter, a premier provider of Unconventional Medical ... PSC.1-2012. The company’s work in countries throughout Southwest Asia, South America, and the ... degraded. The PSC.1 standard was created to protect fundamental freedoms and human rights ...
(Date:6/20/2017)... (PRWEB) , ... June 20, 2017 , ... ... services, announced today that Claritas Capital, a Nashville-based private equity firm, has invested ... our expansion plans for some time, and Claritas Capital offers the smart money, ...
(Date:6/20/2017)... ... June 20, 2017 , ... After months of negotiations, FaceCradle USA is proud to ... on Wednesday, June 21. , “Introducing our product on QVC is something we all worked ... our travel pillow to more than 90 million homes in the United States,” said FaceCradle ...
(Date:6/20/2017)... , ... June 20, 2017 , ... Fresenius Vascular Care, ... minimally invasive techniques to treat and manage a wide range of vascular conditions, has ... initiative. With more than 65 centers represented by more than 40 local brands, a ...
(Date:6/20/2017)... ... June 20, 2017 , ... HOUSTON – Brazos Towers at Bayou Manor ... of new options for today’s modern senior. Brazos Towers at Bayou Manor has more ... love while offering them the services to support that lifestyle both now and in ...
Breaking Medicine News(10 mins):
(Date:6/12/2017)... , June 12, 2017 Kineta, Inc., a biotechnology ... Kineta Vice President of R&D and Head of ... Pandemic Preparedness for the Northwest and Beyond meeting ... on June 14, 2017 from 8:30-10:30 AM PDT at the ... Dr. Bedard will be joined by other ...
(Date:6/9/2017)... and INDIANAPOLIS , June 9, ... living with diabetes. In a further effort to help ... affected by this condition, the International Diabetes Federation (IDF) ... ) have come together for the second phase of ... Systems programme (BRIDGES 2), reaffirming their commitment to helping ...
(Date:6/7/2017)... -- Endo International plc (NASDAQ: ENDP ) ... Joseph R. Goodwin , U.S. District Court Judge for ... , entered a case management order in MDL 2325, ... Litigation (the "MDL") that includes a provision requiring plaintiffs ... on specific causation within one hundred twenty (120) days ...
Breaking Medicine Technology: