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by: Moshe Swift III

MathematicalNeuroscience MATH723

Marketplace > Drexel University > Mathematics (M) > MATH723 > MathematicalNeuroscience
Moshe Swift III
GPA 3.63


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Class Notes
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This 8 page Class Notes was uploaded by Moshe Swift III on Wednesday September 23, 2015. The Class Notes belongs to MATH723 at Drexel University taught by GeorgiMedvedev in Fall. Since its upload, it has received 29 views. For similar materials see /class/212273/math723-drexel-university in Mathematics (M) at Drexel University.

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Date Created: 09/23/15
A FourCompartment Model for Ca2 Dynamics An Interpretation of Ca2 Decay after Repetitive Firing of Intact Nerve Terminals YanYi Peng KwangShang Wang Journal of Computational Neuroscience 8 275298 2000 Michael Willy 8 June 2009 Overview System definition Model derivation Experimental manipulation Model predictions Applications Results Ca2 lon Transfer Modeled after bullfrog sympathetic ganglia Cell behavior predicted in presynaptic nerve terminals Decay follows linear sum of multiple exponential functions due to various ion channels within the cytosol System equilibrium perturbed by stimulation of variable duration and frequency Model Schematic yo Cytosol y The system will resolve for up to four membranebound Ca2 stores involved in monotonic decay 4 Assumptions Expanded Friel compartment model 1995 Rapid intercompartmental Ca2 equilibration Uniform Ca2 throughout individual compartment y Extracellular Ca2 yo remains constant Notation y Ca2 of 1 region i 01 4 J influx into 1 from j j 234 J efflux out of 1 into ij Fyy1 kxj x i0 Q Differential Mass Balance a39 1dt 11 J12 J13 JedU1 101 J02 J03 Jm39b 1 dyzdt Jzz J0239Uz dyadt st J03v3 dydt li4 Jo1va y is the only experimentally observable variable typically done using fura2 or bisfura2 fluorimetry 7


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