Necrosis Depth and Photodynamic Threshold Dose with Redaporfin‐PDT

On threshold circuit depth

On Small Depth Threshold Circuits

In this talk we will consider various classes defined by small depth polynomial size circuits which contain threshold gates and parity gates. We will describe various inclusions between many classes defined in this way and also classes whose definitions rely upon spectral properties of Boolean functions.

Powering requires threshold depth 3

We study the circuit complexity of the powering function, defined as POWm(Z) = Zm for an n-bit integer input Z and an integer exponent m 6 poly(n). Let L̂Td denote the class of functions computable by a depth-d polynomial-size circuit of majority gates. We give a simple proof that POWm 6∈ L̂T2 for any m > 2. Specifically, we prove a 2Ω(n/ logn) lower bound on the size of any depth-2 majority circ...

Energy Complexity and Depth of Threshold Circuits

In the paper we show that there is a close relationship between the energy complexity and the depth of threshold circuits computing any Boolean function although they have completely different physical meanings. Suppose that a Boolean function f can be computed by a threshold circuit C of energy complexity e and hence at most e threshold gates in C output “1” for any input to C. We then prove t...

Correlation of in vivo photosensitizer fluorescence and photodynamic-therapy-induced depth of necrosis in a murine tumor model.

We compared light-induced fluorescence (LIF) to nominal injected drug dose for predicting the depth of necrosis response to photodynamic therapy (PDT) in a murine tumor model. Mice were implanted with radiation-induced fibrosarcoma (RIF) and were injected with 0, 5, or 10 mg/kg Photofrin. 630-nm light (30 J/cm(2), 75 mW/cm(2)) was delivered to the tumor after 24 hours. Fluorescence emission (la...