Comparing parameter in non-linear regression

Hi all, if I have 2 data, let's say X1 and X2. For X1, it contains measurement for different day. For X2, it has a measurement for different day. Let's say, X1 is for male population, and X2 is for female population.

For X1, we have :

day 4 -> 102

day 5 -> 2195

day 6-> 1595

day 7 -> 2687

day 8 -> 619

so on, until day 15.

For X2, we have :

day 4 -> 54

day 5 -> 2800

day 6-> 2200

day 7 -> 881

day 8 -> 500

We try to model these two data using a non-linear function f with parameter on this function. My question is, If I do non-linear regression, Is there a statistical test to test if the parameter for male population and female population are significantly different ?