/ News

03.07.2015

Your brain is like a wad of paper

Whether they're from humans, whales, or elephants, the brains of many mammals are covered with elaborate folds. Now, a new study shows that the degree of this folding follows a simple mathematical relationship—called a scaling law—that also explains the crumpling of paper. That observation suggests that the myriad forms of mammalian brains arise not from subtle developmental processes that vary from species to species, but rather from the same simple physical process.

In biology, it rare to find a mathematical relationship that so tightly fits all the data, say Georg Striedter, a neuroscientist at the University of California, Irvine. "They've captured something," he says. Still, Striedter argues that the scaling law describes a pattern among fully developed brains and doesn't explain how the folding in a developing brain happens.

The folding in the mammalian brain serves to increase the total area of the cortex, the outer layer of gray matter where the neurons reside. Not all mammals have folded cortices. For example, mice and rats have smooth-surfaced brains and are "lissencephalic." In contrast, primates, whales, dogs, and cats have folded brains and are "gyrencephalic."

For decades, scientists have struggled to relate the amount of folding in a species' brain to some other characteristic. For example, although animals with tiny brains tend to have smooth ones, there is no clean relationship between the amount of folding—measured by the ratio of the total area of the cortex to the exposed outer surface of the brain—and brain mass. Make a plot of folding versus brain mass for various species and the data points fall all over and not on a unified curve. Similarly, there is no clean relationship between the amount of folding and the number of neurons, the total area of the cortex, or the thickness of the cortex.

But now, Suzana Herculano-Houzel and Bruno Mota—a neuroscientist and physicist, respectively, at the Federal University of Rio de Janeiro in Brazil—have found a mathematical relation for folding in mammals' brains that appears to be universal. Using data for 62 different species, the duo plotted the area of cortex times the square root of its thickness versus of the exposed area of the brain. All the data points fell on a single universal curve—for both lissencephalic and gyrencephalic species—as the researchers report online today in Science. And the curve showed that the combination of total area and thickness grew with the exposed outer area raised to the power 1.25—just as the area of a circle grows with its radius raised to the power 2.

It may sound complicated, but that universal relationship is the same one that describes crumpled wads of paper—as Herculano-Houzel showed by scrunching up sheets of paper of different sizes and thickness at her dining room table and measuring their surface areas. The relationship comes about because the bent-up paper settles into the configuration that minimizes its energy. So presumably, in folding, the cortex also simply settles into the configuration of least mechanical energy.

But Striedter argues that the analogy with crumpling paper is not completely reliable. The paper is exposed to external forces applied by the hands, he notes, whereas the forces in the cortex presumably arise internally. Scientists have yet to determine how those forces arise and the folding occurs, says Striedter, who co-authored a commentary on the paper that also appears in Science. For example, he says, some models suggest that the growing cortex folds as its outer layer grows faster than its inner layer. "The scaling relationship is one thing," Strieder says. "The mechanism of how you get there is another."

However, Herculano-Houzel sees it differently. At every stage of development, the growing cortex is indeed subject to the external force of the cranium, she says. So as the cortex grows in the confined space, it must crumple, and at every stage of development the scaling relationship should hold, she argues. That prediction can be tested in, say, developing pigs, Herculano-Houzel says, which is what she intends to do next. If the scaling relationship holds at all stages of development, she says, then there is no need for another mechanism to explain the folding.

Posted in Biology, Brain & Behavior, Math, Physics

Source: http://news.sciencemag.org/biology/2015/07/your-brain-wad-paper?rss=1




/ About us

Founded by Russian entrepreneur Dmitry Itskov in February 2011 with the participation of leading Russian specialists in the field of neural interfaces, robotics, artificial organs and systems.

The main goals of the 2045 Initiative: the creation and realization of a new strategy for the development of humanity which meets global civilization challenges; the creation of optimale conditions promoting the spiritual enlightenment of humanity; and the realization of a new futuristic reality based on 5 principles: high spirituality, high culture, high ethics, high science and high technologies. 

The main science mega-project of the 2045 Initiative aims to create technologies enabling the transfer of a individual’s personality to a more advanced non-biological carrier, and extending life, including to the point of immortality. We devote particular attention to enabling the fullest possible dialogue between the world’s major spiritual traditions, science and society.

A large-scale transformation of humanity, comparable to some of the major spiritual and sci-tech revolutions in history, will require a new strategy. We believe this to be necessary to overcome existing crises, which threaten our planetary habitat and the continued existence of humanity as a species. With the 2045 Initiative, we hope to realize a new strategy for humanity's development, and in so doing, create a more productive, fulfilling, and satisfying future.

The "2045" team is working towards creating an international research center where leading scientists will be engaged in research and development in the fields of anthropomorphic robotics, living systems modeling and brain and consciousness modeling with the goal of transferring one’s individual consciousness to an artificial carrier and achieving cybernetic immortality.

An annual congress "The Global Future 2045" is organized by the Initiative to give platform for discussing mankind's evolutionary strategy based on technologies of cybernetic immortality as well as the possible impact of such technologies on global society, politics and economies of the future.

 

Future prospects of "2045" Initiative for society

2015-2020

The emergence and widespread use of affordable android "avatars" controlled by a "brain-computer" interface. Coupled with related technologies “avatars’ will give people a number of new features: ability to work in dangerous environments, perform rescue operations, travel in extreme situations etc.
Avatar components will be used in medicine for the rehabilitation of fully or partially disabled patients giving them prosthetic limbs or recover lost senses.

2020-2025

Creation of an autonomous life-support system for the human brain linked to a robot, ‘avatar’, will save people whose body is completely worn out or irreversibly damaged. Any patient with an intact brain will be able to return to a fully functioning  bodily life. Such technologies will  greatly enlarge  the possibility of hybrid bio-electronic devices, thus creating a new IT revolution and will make  all  kinds of superimpositions of electronic and biological systems possible.

2030-2035

Creation of a computer model of the brain and human consciousness  with the subsequent development of means to transfer individual consciousness  onto an artificial carrier. This development will profoundly change the world, it will not only give everyone the possibility of  cybernetic immortality but will also create a friendly artificial intelligence,  expand human capabilities  and provide opportunities for ordinary people to restore or modify their own brain multiple times.  The final result  at this stage can be a real revolution in the understanding of human nature that will completely change the human and technical prospects for humanity.

2045

This is the time when substance-independent minds will receive new bodies with capacities far exceeding those of ordinary humans. A new era for humanity will arrive!  Changes will occur in all spheres of human activity – energy generation, transportation, politics, medicine, psychology, sciences, and so on.

Today it is hard to imagine a future when bodies consisting of nanorobots  will become affordable  and capable of taking any form. It is also hard to imagine body holograms featuring controlled matter. One thing is clear however:  humanity, for the first time in its history, will make a fully managed evolutionary transition and eventually become a new species. Moreover,  prerequisites for a large-scale  expansion into outer space will be created as well.

 

Key elements of the project in the future

• International social movement
• social network immortal.me
• charitable foundation "Global Future 2045" (Foundation 2045)
• scientific research centre "Immortality"
• business incubator
• University of "Immortality"
• annual award for contribution to the realization of  the project of "Immortality”.

Login as user:

If you are registered on one of these websites, you can get a quick registration. To do this, please select the wesite and follow the instructions.

Login to 2045.com

Email:
You do not have login to 2045.com? Register!
Dear colleagues, partners, friends! If you support ​the 2045 strategic social initiative goals and values, please register on our website.

Quick registration:

If you are registered on one of these websites, you can get a quick registration. To do this, please select the wesite and follow the instructions.

Registration

Name:
Surname:
Field of activity:
Email:
Password:
Enter the code shown:

Show another picture

Восстановить пароль

Email:

Text:
Contact Email:
Attachment ( not greater than 5 Mb. ):
 
Close
avatar project milestones