TY - GEN
T1 - Fuzzy differential inclusion in neural modeling
AU - Tafazoli, Sina
AU - Menhaj, Mohammad Bagher
PY - 2009
Y1 - 2009
N2 - Dynamical systems theory has helped brain scientists to cope better with brain complexity. In this paper, we proposed a novel approach to include uncertainty in dynamical system describing brain function such as one neuron or coupled neurons. Fuzzy dynamical systems represented by a set of fuzzy differential inclusions (FDI) are very convenient tools for modeling and simulation of various uncertain systems. We used fuzzy differential inclusion in modeling neural responses in several types of neurons. We showed that our results are very similar to real experimental data showing variability in neural responses. Further, we have shown that FDI has advantage in comparison with modeling uncertainty in neural systems with Stochastic Differential Equations (SDEs).
AB - Dynamical systems theory has helped brain scientists to cope better with brain complexity. In this paper, we proposed a novel approach to include uncertainty in dynamical system describing brain function such as one neuron or coupled neurons. Fuzzy dynamical systems represented by a set of fuzzy differential inclusions (FDI) are very convenient tools for modeling and simulation of various uncertain systems. We used fuzzy differential inclusion in modeling neural responses in several types of neurons. We showed that our results are very similar to real experimental data showing variability in neural responses. Further, we have shown that FDI has advantage in comparison with modeling uncertainty in neural systems with Stochastic Differential Equations (SDEs).
UR - http://www.scopus.com/inward/record.url?scp=69549126748&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=69549126748&partnerID=8YFLogxK
U2 - 10.1109/CICA.2009.4982785
DO - 10.1109/CICA.2009.4982785
M3 - Conference contribution
AN - SCOPUS:69549126748
SN - 9781424427529
T3 - 2009 IEEE Symposium on Computational Intelligence in Control and Automation, CICA 2009 - Proceedings
SP - 70
EP - 77
BT - 2009 IEEE Symposium on Computational Intelligence in Control and Automation, CICA 2009 - Proceedings
T2 - 2009 IEEE Symposium on Computational Intelligence in Control and Automation, CICA 2009
Y2 - 30 March 2009 through 2 April 2009
ER -