Probability <- function(N, f, m, b, x, t) {
#N is the number of lymph nodes
#f is the fraction of Dendritic cells (in the correct node) that have
the
antigen
#m is the number of time steps
#b is the starting position (somewhere in the node or somewhere in the
gap
between nodes. It is a number between 1 and (x+t))
#x is the number of time steps it takes to traverse the gap
#t is the number of time steps it takes to traverse a node.
A <- 1/N
B <- 1-A
C <- 1-f
D <- (((m+b-1)%%(x+t))+1)
if (b<=t) {########starts inside node
if (m<=(t-b)){return(B + A*(C^m))} # start & end in
first node
if (D<=t) { # we finish in a node
a <- (B + A*(C^(t-b))) #first node
b <- ((B + A*(C^t))^(floor((m+b)/(x+t))-1)) #
intermediate nodes (if
any)
c <- (B + A*(C^D)) # last node
d <- (a*b*c)
return(d)
} else {Probability(N, f, (m-1), b, x, t)} ##
finish in a gap
} else {###### starts outside node
if (m<=(x+t-b)) {return(1)} #also end in the gap
if (D<=t) { #end in a node
b <- ((B + A*(C^t))^(floor((m/(x+t)))))
c <- (B + (A*(C^D)))
d <- (b*c)
return(d)
} else {Probability(N, f, (m-1), b, x, t)}
#outside node
}
}
I wanted to get the sum of the probability at all the values of "b" (ie.
Probability(10, 0.1, 1, 1, 4, 5) + Probability(10, 0.1, 1, 2, 4, 5)... +
Probability(10, 0.1, 1, 9, 4, 5). For that I can just use the sum() function
right?
But since m is the time steps, is it possible for me to input m and b and
get the sum mentioned before at each value of m?
So like ((Probability(10, 0.1, 1, 1, 4, 5) + Probability(10, 0.1, 1, 2, 4,
5)... + Probability(10, 0.1, 1, 9, 4, 5)), Probability(10, 0.1, 2, 1, 4, 5)
+ Probability(10, 0.1, 2, 2, 4, 5)... + Probability(10, 0.1, 2, 9, 4, 5)...)
This is what I have right now, but it doesn't work:
summing<- function(N,f,m, x, t ){
B <- c(1:(x+t))
C <- (sum(Probability(N, f, B, 1, x, t)))
M = 2
if (M<=max(m)) {
B <- c(1:(x+t))
append(C,sum(Probability(N, f, M, B, x, t)), after=M-1)
M = M+1} else {return(C)}
}
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