| 000 | 03826nam a22006015i 4500 | ||
|---|---|---|---|
| 001 | 978-981-287-880-9 | ||
| 003 | DE-He213 | ||
| 005 | 20220801222039.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 160211s2016 si | s |||| 0|eng d | ||
| 020 |
_a9789812878809 _9978-981-287-880-9 |
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| 024 | 7 |
_a10.1007/978-981-287-880-9 _2doi |
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| 050 | 4 | _aQ342 | |
| 072 | 7 |
_aUYQ _2bicssc |
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_aTEC009000 _2bisacsh |
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_aUYQ _2thema |
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_a006.3 _223 |
| 100 | 1 |
_aPeterson, James. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _959404 |
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| 245 | 1 | 0 |
_aCalculus for Cognitive Scientists _h[electronic resource] : _bPartial Differential Equation Models / _cby James Peterson. |
| 250 | _a1st ed. 2016. | ||
| 264 | 1 |
_aSingapore : _bSpringer Nature Singapore : _bImprint: Springer, _c2016. |
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| 300 |
_aXXXI, 534 p. 156 illus. in color. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aCognitive Science and Technology, _x2195-3996 |
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| 505 | 0 | _aIntroduction -- Graham - Schmidt Orthogonalization -- Numerical Differential Equations -- Biological Molecules -- Ion Movement -- Lumped and Distributed Cell Models -- Time Independent Solutions to Infinite Cables -- Time Independent Solutions to Finite and Half-Infinite Space Cables -- A Primer On Series Solutions -- Linear Partial Differential Equations -- Simplified Dendrite - Soma – Axon Information Processing -- The Basic Hodgkin - Huxley Model -- Final Thoughts -- Background Reading. | |
| 520 | _aThis book shows cognitive scientists in training how mathematics, computer science and science can be usefully and seamlessly intertwined. It is a follow-up to the first two volumes on mathematics for cognitive scientists, and includes the mathematics and computational tools needed to understand how to compute the terms in the Fourier series expansions that solve the cable equation. The latter is derived from first principles by going back to cellular biology and the relevant biophysics. A detailed discussion of ion movement through cellular membranes, and an explanation of how the equations that govern such ion movement leading to the standard transient cable equation are included. There are also solutions for the cable model using separation of variables, as well an explanation of why Fourier series converge and a description of the implementation of MatLab tools to compute the solutions. Finally, the standard Hodgkin - Huxley model is developed for an excitable neuron and is solved using MatLab. | ||
| 650 | 0 |
_aComputational intelligence. _97716 |
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| 650 | 0 |
_aMathematical physics. _911013 |
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| 650 | 0 |
_aNeural networks (Computer science) . _959405 |
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| 650 | 0 |
_aArtificial intelligence. _93407 |
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| 650 | 0 |
_aImage processing—Digital techniques. _931565 |
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| 650 | 0 |
_aComputer vision. _959406 |
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| 650 | 1 | 4 |
_aComputational Intelligence. _97716 |
| 650 | 2 | 4 |
_aTheoretical, Mathematical and Computational Physics. _931560 |
| 650 | 2 | 4 |
_aMathematical Models of Cognitive Processes and Neural Networks. _932913 |
| 650 | 2 | 4 |
_aArtificial Intelligence. _93407 |
| 650 | 2 | 4 |
_aComputer Imaging, Vision, Pattern Recognition and Graphics. _931569 |
| 710 | 2 |
_aSpringerLink (Online service) _959407 |
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| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9789812878786 |
| 776 | 0 | 8 |
_iPrinted edition: _z9789812878793 |
| 776 | 0 | 8 |
_iPrinted edition: _z9789811357213 |
| 830 | 0 |
_aCognitive Science and Technology, _x2195-3996 _959408 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-981-287-880-9 |
| 912 | _aZDB-2-ENG | ||
| 912 | _aZDB-2-SXE | ||
| 942 | _cEBK | ||
| 999 |
_c80341 _d80341 |
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