A community for students.
Here's the question you clicked on:
 0 viewing
 2 years ago
A picture I would like to share with the biology group: Some of the ideas about our beloved membranes
 2 years ago
A picture I would like to share with the biology group: Some of the ideas about our beloved membranes

This Question is Closed

InYourHead
 2 years ago
Best ResponseYou've already chosen the best response.0WHAT the flip is this?

Frostbite
 2 years ago
Best ResponseYou've already chosen the best response.0THIS is how we "should" describe a membrane :P

TranceNova
 2 years ago
Best ResponseYou've already chosen the best response.0You make me wish I knew more about membranes. Can you describe your diagram a little more? :D

SchoolSlacker
 2 years ago
Best ResponseYou've already chosen the best response.0That I would like to learn.

Frostbite
 2 years ago
Best ResponseYou've already chosen the best response.0Sure can TranceNova :D ****************************************** ***************WARNING***************** ****************************************** *****Mathematics and Physics ahead***** ****************************************** First a minor history: It is not unusual that the lipid bilayer of a membrane can be modeled as a twodimensional surface embedded in threedimensinal euclidean space. In this kind of modeling, proteins or other entities that can bind to the membrane as represented by solid particles that impose deformations/curvatures in the surface. Acording to physics/chemicalphysics the behavior of the membrane under deformations can be predicted by knowing the change in energy. Wolfram Helfrich suggested in 1973 that the deformation energy of a thin fluid membrane as a sum of three energies: The bending energy, the frame energy and the energy as result of change in gaussian curvature. The bending energy: \[E _{bending}=\frac{ \kappa A }{ 2 }(HH _{0})\] The frame energy: \[E _{frame }=\sigma(AA _{flat})\] The gaussian energy: \[E _{graussian}=\kappa \prime K A\] Many of the equations shown the diagram can be deduced from the three equations here. But now to the main point: A description of the diagram. The diagram show what kind of models that works within property of the change in time (change in time > change in energy (perhaps)) and the lenght scale/zoom. Depending on what we research in, where a membrane is involved, we need to be aware on this concept becuase the model we use make a limit to fx only see the initial energy of the membrane insted of the change over time.

agreene
 2 years ago
Best ResponseYou've already chosen the best response.0I do Computational Biophysics & Biochemistry, although I don't model cell membranes, this is more or less how I view DNA and Ligand interactions ;) It's always fun to see the math behind the structures.

SchoolSlacker
 2 years ago
Best ResponseYou've already chosen the best response.0This is very interesting, thanks for sharing. :)

rahulchatterjee
 2 years ago
Best ResponseYou've already chosen the best response.0what those parameters refer to??

Frostbite
 2 years ago
Best ResponseYou've already chosen the best response.0@rahulchatterjee If you are thinking about the equations i set up the in aditional answer it is as follow: Equation 1: H = C1 + C2 where the following is: C1 and C2 are the principal curvatures when the membrane is modeled as a surface embedded in 3dimensional space and H0 is the spontaneous curvature of the membrane, κ is the bending rigidity, A is the surface area of a piece of the membrane which is denoted as a domain. Equation 2: σ is the frame tension and Aflat is the projected area of the membrane domain area A onto the flat plane. Equation 3: κ' is the splay modulus and K is the Gaussian curvature over the membrane domain with area A.

Frostbite
 2 years ago
Best ResponseYou've already chosen the best response.0Else if you want to know more about it read about the Helfrich Hamiltonian Membrane
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.