Fri, Mar 24, 2017 | updated 03:31 AM IST

This is how maths describe tumour growth

Updated: Oct 20, 2016 09:42 IST

Washington D.C. [USA], Oct. 20 (ANI): There is indeed some magic in numbers!

Universidad Carlos III de Madrid (UC3M) has carried out a study that now mathematically explains how tumours induce the growth of blood vessels.

The study maintains that the tips of the blood vessels expand like a soliton, a solitary wave similar to a tsunami.

"If we know how blood vessels move towards a tumor and know they take the form of a soliton, we can slow down their growth or prevent them from reaching and feeding the tumor by controlling the movement of this wave," said researcher Luis L. Bonilla.

In the study, the UC3M scientists have made a mathematical description of the density of blood vessels associated with the growth of tumours through differential equations. Moreover, they confirmed this model through numerical simulations.

"We saw that in the first stages, the density of the tips of the capillaries that move toward the tumor take the form of a soliton, similar to the waves of a tsunami or those that form in an irrigation canal when you stop the water with a brick and suddenly remove it," explained Bonilla.

This line of research began at UC3M in 2014.

"It was then that we identified some problems about angiogenesis and we were able to deduce the equation for the density of the capillary tips, something that eluded researchers for years," Bonilla continued.

"A soliton is a wave that can spread for a long time without changing much," explained co-researcher Bjorn Birnir.

And what that means within the context of this study is that "the tips of the veins take on a shape that does not change, lasting from the time the soliton forms until it reaches the tumour," he said.

The study has been published in Scientific Reports. (ANI)

New Delhi [India], Mar. 23 (ANI): The Grand Venice, largest mall in Greater Noida and India's only mall built on the lines of Italian city of Venice, has recently launched its Ultimate Food Hub Terrazzo.

Full Story >>

New Delhi [India], Mar. 23 (ANI): Shailyy- a born poetess, whose first story was published in Nandan at a tender age of 13 years, has many accolades to her credit.

Full Story >>

New Delhi [India], Mar. 23 (ANI): India is in the midst of a digital transformation and fashion is at the forefront of this change.

Full Story >>

By Somdatta Saha

Full Story >>

New Delhi [India], Mar.22 (ANI): Universal Business School (UBS) has entered into a three year JV agreement with Tata Capital to train the Graduate Trainee participants, which Tata Capital recruits and cherry picks after a stringent selection process from the best campuses across the country. The program is fully residential and is held at the UBS campus in Karjat.

Full Story >>

New Delhi [India], Mar.22 (ANI): Veteran photographer Raghu Rai was on Wednesday conferred with Lifetime Achievement Award at the 6th National Photography Awards.

Full Story >>

Durex gets into denims with Ranveer Singh

Updated: Mar 22, 2017 17:25 IST

New Delhi [India], Mar.22 (ANI): Durex is back again with Bollywood heartthrob, Ranveer Singh to announce the entry into Jeans.

Full Story >>

Washington D.C. [USA], Mar. 22 (ANI): According to a new University of Michigan study, researchers sought to explain how ethnic-racial identity exploration and resolution might affect friendship networks among youth in a diverse setting, as well as their peers over time.

Full Story >>

New Delhi [India], Mar 22 (ANI): India's leading online fashion portal Jabong has announced the addition of American fashionwear brand Forever 21 to its product portfolio.

Full Story >>

Washington D.C. [USA], Mar.22 (ANI): Are you one of those who were asked to clear your academic doubts from teachers, rather than your peers? Well, you might want to give a thought about that now.

Full Story >>

Mumbai [India], Mar. 22 (ANI): Two Indian designers have been offered a global avenue to showcase their exquisite creations by 6Degree, India's fashion talent, and tech platform.

Full Story >>

Older the new mothers, better they are

Updated: Mar 22, 2017 09:42 IST

Washington D.C. [USA], Mar. 22 (ANI): Women, who experience motherhood later in life, are more compassionate mothers than their younger counterparts, according to a recent study.

Full Story >>

Washington D.C. [USA], Mar. 22 (ANI): Turns out, your pre-pregnancy weight determines a lot more than the size of the maternity jeans you'll be wearing.

Full Story >>

Here's the best way to cook pasta

Updated: Mar 22, 2017 06:37 IST

New Delhi [India], Mar. 22 (ANI): Want to make pasta like the professionals? A new Speaking of Chemistry video offers a tip that will guarantee your meal is perfectly cooked.

Full Story >>

Here's how we might act if the world ends

Updated: Mar 21, 2017 21:13 IST

Washington D.C. [USA], Mar. 21 (ANI): Have you ever wondered how would people act if a catastrophic event was set to wipe out the society? Turns out, we're not going to embark on a path of law-breaking and anti-social behaviour.

Full Story >>

Wednesdays are the new Fridays!

Updated: Mar 21, 2017 20:51 IST

New Delhi [India], Mar. 21 (ANI): Sector 29, the buzzing hotspot of Gurugram, is witnessing a rather interesting change in the way people are guzzling down their favourite drinks.

Full Story >>

A guide to Japan's cherry blossom season

Updated: Mar 21, 2017 20:51 IST

New Delhi [India], Mar. 21 (ANI): With cherry trees blooming, Japan's picturesque landscape will soon be transformed into a sea of pink and so, here's a guide to help you navigate this glorious floral display.

Full Story >>

Bringing good ol' flavour back to tomatoes

Updated: Mar 21, 2017 19:04 IST

Washington D.C. [USA], Mar. 21 (ANI): A flavour face-lift for supermarket tomatoes may be in store, thanks to a group of researchers.

Full Story >>

And the world's happiest country is...

Updated: Mar 21, 2017 17:02 IST

Washington D.C. [USA], Mar. 21 (ANI): If you want to pursue happiness, head to Norway as the Scandinavian country has been crowned as the world's happiest country.

Full Story >>

Parents are the true genetic engineers

Updated: Mar 21, 2017 16:31 IST

By Dr Padmapriya Anup Nair

Full Story >>