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Neural synthesis of firing decisions in the brain

Journal Name:

  • İstanbul Üniversitesi İşletme Fakültesi Dergisi

Publication Year:

  • 2012

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Keywords (Original Language):

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Abstract (2. Language): 
The brain generally miniaturizes its perceptions into what may be regarded as a model of what happens outside. We experience the world according to the capacity of our nervous system to register the stimuli we receive. In order to understand and control the environment there needs to be proportionality between the measurements represented in the miniaturized model that arises from the firings of our neurons, and the actual measurements in the real world. Thus our response to stimuli must satisfy the fundamental functional equation F(ax) = bF(x). In other words, our interpretation of a stimulus as registered by the firing of our neurons is proportional to what it would be if it were not filtered through the brain. This equation is the homogeneous part of the inhomogeneous equation F(ax) – bF(x) = G(x) with the forcing function G(x). What interests us here is the mode of operation of the (firing) system that needs to always satisfy the homogeneous part.
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Abstract (Original Language): 
Beyin genellikle kendi algılarını dışarıda gerçekleşenlerin bir modeli olarak da kabul edilebilen şekilde küçültmektedir. Dış dünyayı sinir sistemimizin aldığımız uyarıcıları kayıt etme kapasitesi doğrultusunda deneyimleriz. Çevremizi anlamak ve kontrol edebilmek için, gerçek dünyadaki gerçek ölçümler ile sinir hücrelerinin ateşlemesinden meydana gelen küçültülmüş modelin temsil ettiği ölçümlerin orantılı olması gerekir. Bu nedenle uyarıcıya verdiğimiz tepki, F(ax) = bF(x) temel işlevsel fonksiyonunu karşılamalıdır. Diğer bir ifadeyle, sinir hücrelerimizin ateşlemesi ile kayıt edilen bir uyarıcıya ait yorumlamamız, beyin tarafından filtre edilmediği durumdaki hali ile orantılıdır. Bu denklem G(x) zorlayıcı denklemi ile birlikte, homojen olmayan F(ax) – bF(x) = G(x) denkleminin homojen kısmıdır. Burada bizi ilgilendiren her zaman homojen kısmı tamamlamaya ihtiyaç duyan bu sistemin (ateşleme) çalışma biçimidir.
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  • 2
162-171
  • Turkish

REFERENCES

References: 

[1] T.L. Saaty, The Brain, Unraveling the Mystery of How it Works, the Neural Network Process. Pittsburgh, Pennsylvania: RWS Publications, Pittsburgh, 2000.
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T. L. Saaty / İstanbul Üniversitesi İşletme Fakültesi Dergisi 41, 2, (2012) 162-171 © 2012
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[8] G.F. Poggio, V.B. Mountcastle, Functional Organization of Thalamus and Cortex. Chapter 9 in Medical Physiology, V.B. Mountcastle (Ed.). St. Louis: C.V. Mosby Co., 1980.
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[10] T.L. Saaty, L.G. Vargas, Representation of Visual Response to Neural Firing. Mathematical and Computer Modelling, 18, 7, 17-23 (1993).

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