'Saddle node' presentation slideshows

Practical Bifurcation Theory

Practical Bifurcation Theory. John J. Tyson Virginia Polytechnic Institute & Virginia Bioinformatics Institute. References. Strogatz, Nonlinear Dynamics and Chaos (Addison Wesley) Kuznetsov, Elements of Applied Bifurcation Theory (Springer) XPP-AUT www.math.pitt.edu/~bard/xpp

846 views • 63 slides

Part 1 : Theory

Part 1 : Theory. Standard laws of biochemical kinetics applied to molecular networks. Rate of Mass Action: forward reaction. k a. Xi. Xa. Biocham model: present(Xi). absent(Xa). ka*[Xi] for Xi=>Xa. parameter(ka,0.2). Rate of Mass Action: forward reaction. k a. Xi. Xa. 0.2. 0.1.

543 views • 47 slides

Biological Modeling of Neural Networks

558 views • 43 slides

Neuronal excitability from a dynamical systems perspective

Mike Famulare CSE/NEUBEH 528 Lecture April 14, 2009. Neuronal excitability from a dynamical systems perspective. Outline. Analysis of biophysical models Hodgkin's classification of neurons by response to steady input currents Introduction to dynamical systems

528 views • 34 slides

Strange responses of the Hodgkin-Huxley model to highly fluctuating inputs

Strange responses of the Hodgkin-Huxley model to highly fluctuating inputs. Yutaka Sakai ( Saitama Univ., Japan ) Masahiro Yamada ( Univ. Tokyo, Japan ) Shuji Yoshizawa ( Saitama Univ., Japan ). class II. HH (Hopf bifurcation). frequency. frequency.

266 views • 21 slides

A Primer in Bifurcation Theory for Computational Cell Biologists

A Primer in Bifurcation Theory for Computational Cell Biologists. John J. Tyson Virginia Polytechnic Institute & Virginia Bioinformatics Institute. Click on icon to start audio. tyson@vt.edu. Molec Genetics Biochemistry Cell Biology.

334 views • 20 slides

BME 6938 Neurodynamics

BME 6938 Neurodynamics. Instructor: Dr Sachin S Talathi. Recap . Linear stability analysis Bifurcation-Definition and Terminology Normal Form Bifurcation Diagram Saddle Node Bifurcation Transcritical Bifurcation Pitchfork Bifurcation. One Dimensional Neuron models. I fast.

432 views • 17 slides

A Primer in Bifurcation Theory for Computational Cell Biologists Lecture 2

A Primer in Bifurcation Theory for Computational Cell Biologists Lecture 2. http://www.biology.vt.edu/faculty/tyson/lectures.php. John J. Tyson Virginia Polytechnic Institute & Virginia Bioinformatics Institute. Click on icon to start audio. The Curse of Parameter Space.

288 views • 16 slides

A Primer in Bifurcation Theory for Computational Cell Biologists Lecture 2

A Primer in Bifurcation Theory for Computational Cell Biologists Lecture 2. http://www.biology.vt.edu/faculty/tyson/lectures.php. John J. Tyson Virginia Polytechnic Institute & Virginia Bioinformatics Institute. Click on icon to start audio. The Curse of Parameter Space.

293 views • 16 slides

A Primer in Bifurcation Theory for Computational Cell Biologists Lecture 3: Hopf Bifurcation

A Primer in Bifurcation Theory for Computational Cell Biologists Lecture 3: Hopf Bifurcation. http://www.biology.vt.edu/faculty/tyson/lectures.php. John J. Tyson Virginia Polytechnic Institute & Virginia Bioinformatics Institute. Click on icon to start audio. Signal-Response Curve =

382 views • 12 slides

A Primer in Bifurcation Theory for Computational Cell Biologists Lecture 3: Hopf Bifurcation

A Primer in Bifurcation Theory for Computational Cell Biologists Lecture 3: Hopf Bifurcation. http://www.biology.vt.edu/faculty/tyson/lectures.php. John J. Tyson Virginia Polytechnic Institute & Virginia Bioinformatics Institute. Click on icon to start audio. Signal-Response Curve =

274 views • 12 slides

A Primer in Bifurcation Theory for Computational Cell Biologists Lecture 3: Hopf Bifurcation

A Primer in Bifurcation Theory for Computational Cell Biologists Lecture 3: Hopf Bifurcation. http://www.biology.vt.edu/faculty/tyson/lectures.php. John J. Tyson Virginia Polytechnic Institute & Virginia Bioinformatics Institute. Click on icon to start audio. Signal-Response Curve =

129 views • 12 slides