Skip to main content

Unveiling Hidden Neural Codes: SIMPL – A Scalable and Fast Approach for Optimizing Latent Variables and Tuning Curves in Neural Population Data

This research paper presents SIMPL (Scalable Iterative Maximization of Population-coded Latents), a novel, computationally efficient algorithm designed to refine the estimation of latent variables and tuning curves from neural population activity. Latent variables in neural data represent essential low-dimensional quantities encoding behavioral or cognitive states, which neuroscientists seek to identify to understand brain computations better. Background and Motivation Traditional approaches commonly assume the observed behavioral variable as the latent neural code. However, this assumption can lead to inaccuracies because neural activity sometimes encodes internal cognitive states differing subtly from observable behavior (e.g., anticipation, mental simulation). Existing latent variable models face challenges such as high computational cost, poor scalability to large datasets, limited expressiveness of tuning models, or difficulties interpreting complex neural network-based functio...

Advanced Strategies for Fate Mapping in Vivo

Fate mapping in vivo is a powerful technique used to track the developmental origins and lineage relationships of cells within complex tissues and organs. Advanced strategies for fate mapping in vivo involve sophisticated genetic tools and imaging technologies that enable precise and dynamic visualization of cell fate decisions and lineage trajectories. Here are some key advanced strategies for fate mapping in vivo:


1.      Genetic Lineage Tracing:

o    Cre-Lox Recombination: Utilizing Cre-Lox recombination systems allows for cell type-specific labeling and tracking of cell lineages based on the expression of Cre recombinase in specific cell populations. This technique enables spatial and temporal control over lineage tracing events.

o    Inducible Systems: Incorporating inducible Cre systems, such as tamoxifen-inducible CreERT2, enables temporal control over lineage tracing experiments, allowing researchers to activate genetic labeling at specific developmental stages or in response to external stimuli.

o    Intersectional Approaches: Intersectional strategies involving the intersection of multiple genetic drivers (e.g., dual recombinase systems) provide increased specificity and combinatorial labeling of distinct cell populations, facilitating more precise fate mapping analyses.

2.     Single-Cell Fate Mapping:

o  Single-Cell Resolution: Advanced fate mapping techniques now enable single-cell resolution tracking of cell lineages, allowing researchers to follow the fate of individual cells over time and assess clonal dynamics within tissues and organs.

oBarcoding Strategies: Barcoding approaches, such as DNA barcoding or RNA sequencing-based barcoding, can be employed to uniquely label individual cells or clones, providing a molecular signature for tracking cell lineages and fate decisions.

3.     Live Imaging and Microscopy:

o    Intravital Imaging: In vivo imaging techniques, such as intravital microscopy and two-photon microscopy, allow for real-time visualization of cell behaviors, lineage relationships, and tissue dynamics within live organisms, providing insights into developmental processes and cellular interactions.

o    Longitudinal Tracking: Longitudinal imaging approaches enable continuous monitoring of cell fate decisions and lineage progression over extended periods, offering dynamic insights into cell behavior, migration patterns, and fate transitions in vivo.

4.    Computational Modeling and Analysis:

o    Quantitative Analysis: Computational modeling and quantitative analysis of fate mapping data can provide insights into lineage relationships, cell fate determinants, and regulatory networks governing cell differentiation and tissue development.

oSingle-Cell Transcriptomics: Integration of single-cell transcriptomic data with fate mapping information allows for the identification of molecular signatures associated with specific cell fates, lineage trajectories, and developmental transitions, enhancing our understanding of cellular heterogeneity and fate decisions in vivo.

In summary, advanced strategies for fate mapping in vivo leverage cutting-edge genetic tools, imaging technologies, single-cell analyses, and computational modeling to unravel the complexities of cell fate determination, lineage dynamics, and tissue development in living organisms. These sophisticated approaches provide unprecedented insights into the spatiotemporal regulation of cell fate decisions, lineage relationships, and developmental processes, advancing our knowledge of tissue morphogenesis, regeneration, and disease pathogenesis.

 

Comments

Popular posts from this blog

Relation of Model Complexity to Dataset Size

Core Concept The relationship between model complexity and dataset size is fundamental in supervised learning, affecting how well a model can learn and generalize. Model complexity refers to the capacity or flexibility of the model to fit a wide variety of functions. Dataset size refers to the number and diversity of training samples available for learning. Key Points 1. Larger Datasets Allow for More Complex Models When your dataset contains more varied data points , you can afford to use more complex models without overfitting. More data points mean more information and variety, enabling the model to learn detailed patterns without fitting noise. Quote from the book: "Relation of Model Complexity to Dataset Size. It’s important to note that model complexity is intimately tied to the variation of inputs contained in your training dataset: the larger variety of data points your dataset contains, the more complex a model you can use without overfitting....

Linear Models

1. What are Linear Models? Linear models are a class of models that make predictions using a linear function of the input features. The prediction is computed as a weighted sum of the input features plus a bias term. They have been extensively studied over more than a century and remain widely used due to their simplicity, interpretability, and effectiveness in many scenarios. 2. Mathematical Formulation For regression , the general form of a linear model's prediction is: y^ ​ = w0 ​ x0 ​ + w1 ​ x1 ​ + … + wp ​ xp ​ + b where; y^ ​ is the predicted output, xi ​ is the i-th input feature, wi ​ is the learned weight coefficient for feature xi ​ , b is the intercept (bias term), p is the number of features. In vector form: y^ ​ = wTx + b where w = ( w0 ​ , w1 ​ , ... , wp ​ ) and x = ( x0 ​ , x1 ​ , ... , xp ​ ) . 3. Interpretation and Intuition The prediction is a linear combination of features — each feature contributes prop...

Predicting Probabilities

1. What is Predicting Probabilities? The predict_proba method estimates the probability that a given input belongs to each class. It returns values in the range [0, 1] , representing the model's confidence as probabilities. The sum of predicted probabilities across all classes for a sample is always 1 (i.e., they form a valid probability distribution). 2. Output Shape of predict_proba For binary classification , the shape of the output is (n_samples, 2) : Column 0: Probability of the sample belonging to the negative class. Column 1: Probability of the sample belonging to the positive class. For multiclass classification , the shape is (n_samples, n_classes) , with each column corresponding to the probability of the sample belonging to that class. 3. Interpretation of predict_proba Output The probability reflects how confidently the model believes a data point belongs to each class. For example, in ...

Uncertainty in Multiclass Classification

1. What is Uncertainty in Classification? Uncertainty refers to the model’s confidence or doubt in its predictions. Quantifying uncertainty is important to understand how reliable each prediction is. In multiclass classification , uncertainty estimates provide probabilities over multiple classes, reflecting how sure the model is about each possible class. 2. Methods to Estimate Uncertainty in Multiclass Classification Most multiclass classifiers provide methods such as: predict_proba: Returns a probability distribution across all classes. decision_function: Returns scores or margins for each class (sometimes called raw or uncalibrated confidence scores). The probability distribution from predict_proba captures the uncertainty by assigning a probability to each class. 3. Shape and Interpretation of predict_proba in Multiclass Output shape: (n_samples, n_classes) Each row corresponds to the probabilities of ...

Classification and Regression

Classification Definition: Classification is the supervised learning task of predicting a categorical class label from input data. Each example in the dataset belongs to one of a predefined set of classes. Characteristics: Outputs are discrete. The goal is to assign each input to a single class. Classes can be binary (two classes) or multiclass (more than two classes). Examples: Classifying emails as spam or not spam (binary classification). Classifying iris flowers into one of three species (multiclass classification),,. Types of Classification: Binary Classification: Distinguishing between exactly two classes. Multiclass Classification: Distinguishing among more than two classes. Multilabel Classification: Assigning multiple class labels to each instance (less commonly covered in this book). Key Concepts: The class labels are discrete and come from a finite set . Often expressed as a yes/no question in binary classifi...