added missing m file

projects/project_fano_slope/lifboltzmannspikes.m

@@ -0,0 +1,35 @@
+function spikes = lifboltzmannspikes(trials, input, tmax, gain)
+% Generate spike times of a leaky integrate-and-fire neuron.
+% trials: the number of trials to be generated.
+% input: the stimulus intensity.
+% tmax: the duration of a trial.
+% gain: gain of the neuron, i.e. the slope factor of the boltzmann input.
+
+    tau = 0.01;
+    D = 1e-2;
+    imax = 25;
+    ithresh = 10;
+    slope = gain;
+    vreset = 0.0;
+    vthresh = 10.0;
+    dt = 1e-4;
+    
+    n = ceil(tmax/dt);
+    inb = imax./(1.0+exp(-slope.*(input - ithresh)));
+    spikes = cell(trials, 1);
+    for k=1:trials
+        times = [];
+        j = 1;
+        v = vreset;
+        noise = sqrt(2.0*D)*randn(n, 1)/sqrt(dt);
+        for i=1:n
+            v = v + (- v + noise(i) + inb)*dt/tau;
+            if v >= vthresh
+                v = vreset;
+                times(j) = i*dt;
+                j = j + 1;
+            end
+        end
+        spikes{k} = times;
+    end
+end

projects/project_lif/lif.tex

@@ -94,7 +94,7 @@ time = [0.0:dt:tmax]; % t_i
     \part Response of the passive membrane to a step input. 
 
     Set $V_0=0$. Construct a vector for the input $E(t)$ such that
-    $E(t)=0$ for $t<20$\,ms and $t>70$\,ms and $E(t)=10$\,mV for
+    $E(t)=0$ for $t\le 20$\,ms and $t\ge 70$\,ms and $E(t)=10$\,mV for
     $20$\,ms $<t<70$\,ms. Plot $E(t)$ and the resulting $V(t)$ for
     $t_{max}=120$\,ms.