# ELISA Standard Curve Analysis AI Agent Connect

> Automated 4-parameter logistic (4PL) regression for ELISA standard curves and sample quantification.

## Overview
- **Category:** biochemistry
- **Price:** Free
- **Endpoint:** https://edge.vinkius.com/vk_preview_4RcAR6Gs9Ve0dI4G03MbCBGyCih3A10FvYh7tLWU/ai-agent-connect
- **Tags:** elisa, 4pl, regression, biotech, assay

## Description

This MCP server provides specialized tools for biochemical assay analysis. It uses 4-parameter logistic (4PL) regression to model the sigmoidal relationship between concentration and optical density (OD) in ELISA assays. Users can calculate precise curve parameters, interpolate unknown sample concentrations, evaluate assay precision via replicate analysis, and validate that samples fall within the measurable range of the standard curve. It is designed to handle the non-linear nature of biological responses accurately.

## Tools

### calculate_precision_metrics
Evaluates assay reliability through replicate analysis

### get_curve_parameters
Calculates the mathematical model of the standard curve using 4PL regression

### interpolate_unknowns
Calculates concentrations for unknown samples based on a fitted 4PL curve

### validate_assay_range
Checks if unknown samples are within the valid measurable range of the standard curve

## Prompt Examples

**Prompt:** 
```
Calculate the parameters for a standard curve with concentrations [0, 1, 10, 100] and ODs [0.05, 0.2, 1.5, 2.8].
```

**Response:** 
```
The 4PL model parameters are: Minimum (A): 0.048, Maximum (D): 2.85, Inflection Point (C): 12.4, and Hill Slope (B): 0.85. The R-squared value is 0.998.
```

**Prompt:** 
```
Interpolate the concentration for an unknown sample with an OD of 0.5 using standards [0, 1, 10, 100] and ODs [0.05, 0.2, 1.5, 2.8].
```

**Response:** 
```
The interpolated concentration for the sample with OD 0.5 is 3.25 units.
```

**Prompt:** 
```
Check if an OD of 3.0 is within the range of standards with ODs [0.05, 0.2, 1.5, 2.8].
```

**Response:** 
```
No, the OD of 3.0 is out of range as it exceeds the maximum standard OD of 2.8.
```

## Frequently Asked Questions

**What mathematical model is used for the curve fitting?**
The server uses a 4-parameter logistic (4PL) regression model to account for the sigmoidal relationship between concentration and optical density.

**How can I check if my sample OD is within the valid range?**
You can use the `validate_assay_range` tool to compare your unknown sample ODs against the range established by your standard ODs.

**Can I calculate the precision of my assay replicates?**
Yes, the `calculate_precision_metrics` tool allows you to provide groups of replicate OD values to calculate the mean and the coefficient of variation (CV%).