Ca
2+ is a vital second messenger in virtually every cell type [
8]. It orchestrates a great variety of different cellular functions such as muscle contraction [
9], fertilization [
10], neurotransmitter release [
11], cytoskeleton dynamics [
12] and apoptosis [
13,
14]. Ca
2+ signaling relies on a low intracellular Ca
2+ resting concentration [Ca
2+]
i (0.1 μM), roughly four orders of magnitude below the extracellular Ca
2+ concentration [Ca
2+]
e (2 mM). A Ca
2+ signal is induced by an increase of the [Ca
2+]
i, whereby the major sources of Ca
2+ are the extracellular space and intracellular Ca
2+ stores such as the endoplasmic reticulum (ER) and the mitochondria [
15]. Specialized ion channels, pumps, and cytosolic Ca
2+ buffers constitute the cellular Ca
2+ regulatory apparatus. Their well-coordinated interplay allows both the induction of intracellular Ca
2+ signals (ON mechanisms) and the relaxation of the system towards its vital low resting [Ca
2+]
i (OFF mechanisms) [
16]. ON mechanisms are usually mediated by ion channels which, upon opening, allow Ca
2+ to diffuse along its concentration gradient into the cytosol. Common examples include voltage-dependent Ca
2+ channels (VDCCs) and intracellular ligand-gated Ca
2+ release channels, such as the inositol 1,4,5-trisphosphate receptor (IP
3R) or the ryanodine receptor (RYR), predominantly located on the ER membrane [
15,
16]. OFF mechanisms, by contrast, extrude Ca
2+ from the cytosol, thus pumping Ca
2+ against its concentration gradient either into the extracellular space or into intracellular Ca
2+ stores. Important examples are the sarco/endoplasmic reticulum Ca
2+-ATPase (SERCA) and the plasma membrane Na
+/Ca
2+-exchanger (NCX) [
15,
16]. Upon elevated [Ca
2+]
i, Ca
2+ binds to highly conserved Ca
2+ binding domains, such as EF-hand domains [
17]. By introducing its two-fold positive charge, Ca
2+ induces a conformational change in these proteins, which can lead to an alteration of their function. Ca
2+-sensing proteins are functionally highly diverse and range from transcription factors and phosphatases [
8] to elements of the cytoskeleton [
12] and proteins of the contractile apparatus in muscle cells [
18]. A prolonged increase in [Ca
2+]
i induces cell death [
13,
14] and thus Ca
2+ signals are required to be temporally limited. Furthermore, to be able to mediate the great variety of Ca
2+-dependent cellular functions, Ca
2+ signals are not necessarily binary signals, but can also encode information in a frequency-dependent manner (for example, as Ca
2+ oscillations) [
18]. Spatial heterogeneity is another important aspect to understand the high specificity of Ca
2+ signals. Instead of looking at the cell as a single homogeneous system, it is necessary to identify so-called Ca
2+ microdomains, sub-femto liter domains that accumulate important Ca
2+ signaling elements. Such microdomains can be predetermined by structural features of the cell, such as dendritic spines in neurons [
19] or FPs in podocytes [
20], or their spatial extent can be limited by diffusion and the cytosolic Ca
2+ buffering capacity. Acknowledgment of the importance of Ca
2+ microdomains to our understanding of Ca
2+ signaling in general is constantly increasing [
21], which is reflected in a growing number of theoretical studies investigating the mathematical foundations of the complex non-linear dynamics of Ca
2+ microdomains [
22‐
25].