Considering aesthetic surgery? You need to do your research and become an informed consumer.

Home

Search

Article Archive

Resources / Links

Aesthetic Surgery Books

Skin Care Store

Free Newsletter



Information about Anti-Aging Products and Their Active Ingredients
Read more here

Skin Medica TNS Recovery Complex

WRINKLE RELAX
aka Faux-Tox

Home Micro
dermabrasion

Z. BIGATTI

Strivectin Eye Cream
Gentle for the under-eye area.

FREEZE 24/7 with GABA

FREEZE 24/7 LIP PLUMPER

FREEZE 24/7 Ice Cream

FREEZE 24/7 Eye Cream

CITY LIPS LIP PLUMPER

MD FORTE FACIAL CREAM

MD FORTE FACIAL CLEANSER

Celebrity Plastic Surgery  Celebrity Cosmetic Surgery  Whose Had it??
Find out here!

Bion Ceramic Flat Iron
HAI Ceramic Flat Iron
Solia Ceramic Flat Iron
SEDU Ceramic Flat Iron
CHI Ceramic Flat Iron

ELA-Max Numbing Cream

GoSMILE TOOTH WHITENING
Home Kit!

PRESCRIPTIVES

KINERASE

FROWNIES HOLLYWOOD'S BEST KEPT SECRET

PERRICONE SKIN CARE PRODUCTS

ORIGINS

RICAUD
Available straight from Paris!

HAIRMAX LASER COMB

TRUE COSMETICS BEING TRUE


 

Mathematical Tools For Predicting Facial Surgery Results

(press release from American Mathematical Society)

CLARISONIC
Get The Most Popular Facial Skin Cleansing System for 1/2 the price, The LOWEST Price on the internet!!

Cranio-maxillofacial surgery is a medical specialty focusing on facial and skull reconstruction. This surgery can help patients with such disorders as cleft palate, malformations of the upper or lower jaw, and problems with the facial skeleton due to injury. Intensive pre-operative planning is needed not only to ensure that the medical purposes of the surgery are achieved, but also to give patients a sense of what their faces will look like after the surgery is performed.

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."

###

The article "Mathematics in Facial Surgery" appears in the October 2006 issue of the Notices of the AMS. It is available on the web at www.ams.org/notices/200609/fea-surgery.pdf

Founded in 1888 to further mathematical research and scholarship, the more than 30,000-member American Mathematical Society fulfills its mission through programs and services that promote mathematical research and its uses, strengthen mathematical education, and foster awareness and appreciation of mathematics and its connections to other disciplines and to everyday life.

Contact: Dr. Peter Deuflhard
www.ams.org

American Mathematical Society


Knowledge is Power. Information is How You Get It!

 

CLARISONIC
Get The Most Popular Facial Skin Cleansing System for 1/2 the price, The LOWEST Price on the internet!!

HOME LASER HAIR REMOVAL
Created by the same scientists who made in-office laser hair removal a success

BABY QUASAR
50% off sale!! Home laser light photo rejuvenation therapy; in the privacy of your home correct the signs of sun damage, age spots, wrinkles and acne.



Do you want to advertise on this site? Click for details...

BETTER THAN BOTOX??

PLAZAN
Jennifer Lopez has revealed her skin care secret!

PREVAGE

MD FORTE
DERMANEW
OBAGI
DERMABLEND
SkinCeuticals

IDEBENONE

Mason Pearson Hair Brushes

Photolagen - AGF

Winsor Pilates

AlphaDerma CE

DR BRANDT
CREASE RELEASE

DR BRANDT
MICRO
DERMABRASION IN A JAR

ZENO

Cellulean Cellulite Treatment

DuWop LIP VENOM

Interesting Articles On: 
Buttock Augmentation

Perlane For Under-Eye Hollows

Fat Transfer

Feather Lift

Vaginal Plastic Surgery

Bullhorn Liplift

Treating Acne Scars

Type in your search words below


 

All contents copyright ©2000-2017 - Cosmetic Surgery News - All rights reserved.
Disclaimer
Privacy Policy